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+ "output_type": "stream", + "text": [ + " wavefunction is stable in the internal stability analysis\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> The calculated SCF solution is converged and stable.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> Selected an initial space of 29 electrons and 30 orbitals.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -1717.36168588841 E(CI) = -138.313507713937 S^2 = 8.7500000\n" + ] + } + ], "source": [ "mf = stable_scf(mol)\n", "sf = ASFDMRG.from_preselection(MP2NatorbPreselection(mf), maxM=150)\n", @@ -139,10 +210,56 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "id": "dee9bd10-8baf-4595-bad7-75b32fc6908f", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:20:27.027955Z", + "iopub.status.busy": "2024-04-30T15:20:27.027113Z", + "iopub.status.idle": "2024-04-30T15:20:27.989138Z", + "shell.execute_reply": "2024-04-30T15:20:27.988671Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 27 0.000 0.004 0.004 0.992 0.053 initial\n", + " 28 0.001 0.005 0.005 0.990 0.066 initial\n", + " 29 0.001 0.005 0.004 0.990 0.065 initial\n", + " 30 0.001 0.004 0.004 0.991 0.061 initial\n", + " 31 0.002 0.004 0.004 0.990 0.065 initial\n", + " 32 0.002 0.004 0.004 0.990 0.064 initial\n", + " 33 0.002 0.004 0.004 0.989 0.070 initial\n", + " 34 0.001 0.005 0.004 0.990 0.065 initial\n", + " 35 0.001 0.004 0.004 0.990 0.063 initial\n", + " 36 0.001 0.005 0.005 0.989 0.073 initial\n", + " 37 0.001 0.005 0.004 0.991 0.062 initial\n", + " 38 0.001 0.005 0.005 0.990 0.068 initial\n", + " 39 0.001 0.998 0.000 0.001 0.016 initial\n", + " 40 0.001 0.998 0.000 0.001 0.016 initial\n", + " 41 0.000 1.000 0.000 0.000 0.001 initial\n", + " 42 0.000 1.000 0.000 0.000 0.001 initial\n", + " 43 0.000 1.000 0.000 0.000 0.001 initial\n", + " 44 0.988 0.006 0.005 0.001 0.078 initial\n", + " 45 0.991 0.004 0.004 0.001 0.059 initial\n", + " 46 0.991 0.004 0.004 0.001 0.061 initial\n", + " 47 0.991 0.004 0.004 0.001 0.061 initial\n", + " 48 0.990 0.004 0.004 0.002 0.068 initial\n", + " 49 0.990 0.004 0.004 0.002 0.064 initial\n", + " 50 0.990 0.004 0.004 0.002 0.064 initial\n", + " 51 0.991 0.004 0.004 0.001 0.060 initial\n", + " 52 0.990 0.004 0.004 0.001 0.063 initial\n", + " 53 0.991 0.004 0.004 0.001 0.062 initial\n", + " 54 0.991 0.004 0.004 0.001 0.057 initial\n", + " 55 0.992 0.004 0.004 0.000 0.052 initial\n", + " 56 0.996 0.002 0.002 0.000 0.030 initial\n", + "\n" + ] + } + ], "source": [ "print_mo_table(orbital_densities=sf.one_orbital_density(), mo_list=sf.mo_list.tolist(), selections={\"initial\": sf.mo_list})" ] @@ -159,10 +276,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "3c18319f-7feb-46a5-914a-47ae697aa8c5", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:20:27.991354Z", + "iopub.status.busy": "2024-04-30T15:20:27.991029Z", + "iopub.status.idle": "2024-04-30T15:20:56.167090Z", + "shell.execute_reply": "2024-04-30T15:20:56.166542Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Active spaces matching criteria 1) - 3): {}\n" + ] + } + ], "source": [ "spaces_strict = sf.find_many(keep_minimal=False)\n", "print(f\"Active spaces matching criteria 1) - 3): {spaces_strict}\")" @@ -178,10 +310,33 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "ae319bc3-0d5a-41f5-8262-81f464e2c8b7", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:20:56.169250Z", + "iopub.status.busy": "2024-04-30T15:20:56.168840Z", + "iopub.status.idle": "2024-04-30T15:21:24.623554Z", + "shell.execute_reply": "2024-04-30T15:21:24.622986Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Active spaces matching criteria 1) - 3) including minimal space:\n", + "{(5, 5): [MOListInfo(mo_list=[39, 40, 41, 42, 43],\n", + " nel=5,\n", + " minimal=True,\n", + " pairinfo_sum=-0.00010668105447022536,\n", + " max_increment=0.0005160499019355715,\n", + " min_decrement=-0.00028700342817654953,\n", + " min_entropy=0.0008159031440486565,\n", + " min_edge_sum=5.051198487799289e-05)]}\n" + ] + } + ], "source": [ "spaces_minimal = sf.find_many()\n", "print(f\"Active spaces matching criteria 1) - 3) including minimal space:\")\n", @@ -207,10 +362,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "id": "322fc3fd-b0bd-4701-99e9-d8ff4963c5fe", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:21:24.625606Z", + "iopub.status.busy": "2024-04-30T15:21:24.625429Z", + "iopub.status.idle": "2024-04-30T15:21:52.161079Z", + "shell.execute_reply": "2024-04-30T15:21:52.160612Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> Could not determine active space with FALLBACK_MODE='strict'.\n" + ] + } + ], "source": [ "FALLBACK_MODE = \"strict\"\n", "\n", @@ -231,10 +401,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "id": "92ecd3f1-03a3-49b8-8f0d-876892bebdff", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:21:52.163229Z", + "iopub.status.busy": "2024-04-30T15:21:52.162844Z", + "iopub.status.idle": "2024-04-30T15:22:19.876687Z", + "shell.execute_reply": "2024-04-30T15:22:19.876163Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> Could not determine active space with FALLBACK_MODE='below_threshold'.\n" + ] + } + ], "source": [ "FALLBACK_MODE = \"below_threshold\"\n", "\n", @@ -255,10 +440,26 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "id": "315662dc-d087-40c2-bc05-9b6070945971", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:19.878919Z", + "iopub.status.busy": "2024-04-30T15:22:19.878610Z", + "iopub.status.idle": "2024-04-30T15:22:47.342781Z", + "shell.execute_reply": "2024-04-30T15:22:47.342248Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ActiveSpace: 5 electrons in 5 orbitals\n", + " active MO indices: [39, 40, 41, 42, 43]\n" + ] + } + ], "source": [ "FALLBACK_MODE = \"minimal\"\n", "\n", @@ -281,10 +482,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "id": "d512bc20-5812-4ace-9173-e4a5ff273731", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:47.344976Z", + "iopub.status.busy": "2024-04-30T15:22:47.344582Z", + "iopub.status.idle": "2024-04-30T15:22:48.962900Z", + "shell.execute_reply": "2024-04-30T15:22:48.962396Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "

" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# If plots have been generated in a previous run of the Notebook, they will be reused here.\n", "# Set redo_plots = True, if new orbital images should be created regardless of existing files.\n", @@ -320,9 +539,16 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "id": "74ca66d9-79bc-4b9d-bddd-d70bb25dcd2f", - "metadata": {}, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:48.964999Z", + "iopub.status.busy": "2024-04-30T15:22:48.964652Z", + "iopub.status.idle": "2024-04-30T15:22:48.969727Z", + "shell.execute_reply": "2024-04-30T15:22:48.969332Z" + } + }, "outputs": [], "source": [ "mol2 = M(\n", @@ -346,10 +572,54 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "id": "2ad9ad15-5612-42fe-a3f8-b2ba0c51d6e9", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:48.971420Z", + "iopub.status.busy": "2024-04-30T15:22:48.971255Z", + "iopub.status.idle": "2024-04-30T15:22:49.398654Z", + "shell.execute_reply": "2024-04-30T15:22:49.398183Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> Initiating a UHF calculation.\n", + "converged SCF energy = -75.3251000879719 = 0.75481361 2S+1 = 2.0048078\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " wavefunction is stable in the internal stability analysis\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> The calculated SCF solution is converged and stable.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Selected an initial space of 7 electrons and 8 orbitals.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -75.4134819010619 E(CI) = -19.6073402951632 S^2 = 0.7500000\n" + ] + } + ], "source": [ "mf2 = stable_scf(mol2)\n", "sf2 = ASFCI.from_preselection(MP2PairinfoPreselection(mf2))\n", @@ -367,10 +637,34 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "id": "d44fe786-9ccd-42ec-a24f-504b9af1c609", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:49.402640Z", + "iopub.status.busy": "2024-04-30T15:22:49.401410Z", + "iopub.status.idle": "2024-04-30T15:22:49.416830Z", + "shell.execute_reply": "2024-04-30T15:22:49.416396Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 1 0.002 0.005 0.003 0.990 0.065 initial\n", + " 2 0.004 0.006 0.005 0.986 0.089 initial\n", + " 3 0.008 0.006 0.005 0.982 0.111 initial\n", + " 4 0.006 0.992 0.001 0.001 0.054 initial\n", + " 5 0.982 0.006 0.005 0.008 0.111 initial\n", + " 6 0.986 0.005 0.005 0.003 0.087 initial\n", + " 7 0.991 0.004 0.004 0.001 0.061 initial\n", + " 8 0.993 0.006 0.000 0.000 0.044 initial\n", + "\n" + ] + } + ], "source": [ "print_mo_table(orbital_densities=sf2.one_orbital_density(), mo_list=sf2.mo_list.tolist(), selections={\"initial\": sf2.mo_list})" ] @@ -387,10 +681,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "id": "7de8b642-e41b-4a65-b2b7-c7a03470f93e", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:49.420392Z", + "iopub.status.busy": "2024-04-30T15:22:49.419260Z", + "iopub.status.idle": "2024-04-30T15:22:49.445456Z", + "shell.execute_reply": "2024-04-30T15:22:49.445018Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " - Could not determine active space with FALLBACK_MODE='strict'\n" + ] + } + ], "source": [ "FALLBACK_MODE = \"strict\"\n", "\n", @@ -411,10 +720,40 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "id": "6fafc9b7-e54d-4930-b42f-85befce06b57", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:49.448546Z", + "iopub.status.busy": "2024-04-30T15:22:49.447729Z", + "iopub.status.idle": "2024-04-30T15:22:49.471435Z", + "shell.execute_reply": "2024-04-30T15:22:49.470994Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{(3, 3): [MOListInfo(mo_list=[3, 4, 5],\n", + " nel=3,\n", + " minimal=False,\n", + " pairinfo_sum=0.049605184211571146,\n", + " max_increment=0.01161009638630002,\n", + " min_decrement=0.05675525149820802,\n", + " min_entropy=0.11114300331610966,\n", + " min_edge_sum=0.025155391886761906)],\n", + " (5, 5): [MOListInfo(mo_list=[2, 3, 4, 5, 6],\n", + " nel=5,\n", + " minimal=False,\n", + " pairinfo_sum=0.08238531870552537,\n", + " max_increment=0.011971120285746428,\n", + " min_decrement=0.033731576276164014,\n", + " min_entropy=0.08664494471001796,\n", + " min_edge_sum=0.016453630596191718)]}\n" + ] + } + ], "source": [ "pprint(sf2.find_many(keep_minimal=False))" ] @@ -429,10 +768,26 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "id": "24b1384a-7509-455e-b439-de7b10d03366", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:49.474692Z", + "iopub.status.busy": "2024-04-30T15:22:49.473834Z", + "iopub.status.idle": "2024-04-30T15:22:49.497458Z", + "shell.execute_reply": "2024-04-30T15:22:49.497023Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ActiveSpace: 3 electrons in 3 orbitals\n", + " active MO indices: [3, 4, 5]\n" + ] + } + ], "source": [ "FALLBACK_MODE = \"below_threshold\"\n", "\n", @@ -453,10 +808,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "id": "4ca8c414-fa4a-4995-ac7e-404c74c72505", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:49.500584Z", + "iopub.status.busy": "2024-04-30T15:22:49.499766Z", + "iopub.status.idle": "2024-04-30T15:22:49.867737Z", + "shell.execute_reply": "2024-04-30T15:22:49.867253Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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wsBYsWHDM5yxYsKCl69vRWO77aR//+Mfrpptuqm9/+9v1yle+ciKPOe5ave+f/exn9fOf/7xWrlw58tjw8HBVVZ1yyin14IMP1jnnnDOxhz5JY/m9XrhwYZ166qk1a9askcde9rKX1cDAQB0+fLg6Ojom9MzjYSz3fd1119UVV1xRb3/726uq6vzzz6+DBw/WO9/5zrrmmmtq5szp2XGPt2lz5syZsv8Hsso+2+ffmc77XGWjbfQzs9HtxUbb6CobfSyJGz1e+zzl/2Q6Ojpq6dKl1d/fP/LY8PBw9ff31/Lly4/5nOXLl4+6vqrqrrvuOu717Wgs911V9bGPfaxuuOGG2rFjRy1btmwyjjquWr3vc889t370ox/V7t27Rz7e9KY31ete97ravXt3dXd3T+bxx2Qsv9eXXHJJPfTQQyP/8qqq+ulPf1oLFy58Tgx51dju+4knnjhqsJ/+F9rvvt/S9NSum2af7fN03+cqG22jn1m77pqNttE22kb/ocSNHrdNa+nbsk6Qbdu2NZ2dnc0XvvCF5ic/+Unzzne+sznjjDOagYGBpmma5oorrmiuvvrqkeu///3vN6ecckrz8Y9/vLn//vubjRs3Pmd/nFgr933TTTc1HR0dzde+9rXmV7/61cjH448/PlW3MCat3vcfey5+5+xW73nv3r3N6aef3vzjP/5j8+CDDzbf/OY3m/nz5zcf+chHpuoWxqTV+964cWNz+umnN//2b//W7Nmzp/n3f//35pxzzmne/OY3T9UtjMnjjz/e3Hfffc19993XVFVz8803N/fdd1/zi1/8ommaprn66qubK664YuT6p3+c2D//8z83999/f7Nly5a2+nGP9tk+T+d9bhobbaNttI1+brDRNnq6b/RU7XNbRJGmaZpPfvKTzQtf+MKmo6Ojueiii5r//M//HPnPXvva1zZr1qwZdf1XvvKV5iUveUnT0dHRvOIVr2juvPPOST7x+Gjlvl/0ohc1VXXUx8aNGyf/4Cep1d/vP/RcHfRW7/kHP/hB09PT03R2djZnn31289GPfrR56qmnJvnUJ6+V+37yySebD33oQ80555zTzJ49u+nu7m7e8573NP/7v/87+Qc/Cd/5zneO+d/Vp+91zZo1zWtf+9qjnrNkyZKmo6OjOfvss5t//dd/nfRzH499ts9Pm6773DQ22kbb6OcaG22jn2ajf2c6bPRU7fOMppmm76UBAAAAOIEp/54iAAAAAFNBFAEAAAAiiSIAAABAJFEEAAAAiCSKAAAAAJFEEQAAACCSKAIAAABEEkUAAACASKIIAAAAEEkUAQAAACKJIgAAAECk/w+ZoJKTFl7pVgAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "redo_plots = True\n", "\n", @@ -490,7 +863,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.7" + "version": "3.11.9" } }, "nbformat": 4, diff --git a/.doctrees/nbsphinx/notebooks/oxygen/oxygen.ipynb b/.doctrees/nbsphinx/notebooks/oxygen/oxygen.ipynb index f1d893a..e3ca4ed 100644 --- a/.doctrees/nbsphinx/notebooks/oxygen/oxygen.ipynb +++ b/.doctrees/nbsphinx/notebooks/oxygen/oxygen.ipynb @@ -20,8 +20,15 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 1, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:51.637471Z", + "iopub.status.busy": "2024-04-30T15:22:51.637315Z", + "iopub.status.idle": "2024-04-30T15:22:51.822972Z", + "shell.execute_reply": "2024-04-30T15:22:51.822386Z" + } + }, "outputs": [], "source": [ "# Suppress PySCF warning...\n", @@ -31,8 +38,15 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 2, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:51.825383Z", + "iopub.status.busy": "2024-04-30T15:22:51.825141Z", + "iopub.status.idle": "2024-04-30T15:22:52.079664Z", + "shell.execute_reply": "2024-04-30T15:22:52.079128Z" + } + }, "outputs": [], "source": [ "from pathlib import Path\n", @@ -64,18 +78,136 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 3, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:52.082196Z", + "iopub.status.busy": "2024-04-30T15:22:52.081721Z", + "iopub.status.idle": "2024-04-30T15:22:52.085125Z", + "shell.execute_reply": "2024-04-30T15:22:52.084636Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Help on function find_from_mol in module asf.wrapper:\n", + "\n", + "find_from_mol(mol: pyscf.gto.mole.Mole, max_norb: Optional[int] = None, min_norb: Optional[int] = None, entropy_threshold: float = 0.13862943611198905, max_scf_restarts: int = 5, scf_kwargs: Optional[dict[str, Any]] = None, verbose: bool = True, **kwargs) -> asf.asfbase.ActiveSpace\n", + " Select an active space with an entropy threshold, starting from a Molecule.\n", + " \n", + " This function attempts to calculate a stable UHF solution for the Mole object provided.\n", + " Subsequently, find_from_scf(...) is called to calculate MP2 natural orbitals, and to\n", + " select an active space from those.\n", + " \n", + " For more details, please refer to find_from_scf(...).\n", + " \n", + " Args:\n", + " mol: Mole instance containing the molecular data.\n", + " max_norb: Maximum number of active orbitals per root.\n", + " min_norb: Minimum number of active orbitals per root.\n", + " entropy_threshold: Entropy threshold to select a single active space. Among all reasonable\n", + " active spaces, a space with the lowest entropy above this threshold and\n", + " with maximal pair information sum is selected as the final choice.\n", + " max_scf_restarts: Maximal number of times to restart when an unconverged or unstable\n", + " solution is found.\n", + " scf_kwargs: Dictionary of options to be set for the SCF object.\n", + " Note: this function deviates from PySCF defaults for a few settings.\n", + " stability_analysis: Perform a stability analysis of the SCF solution if True.\n", + " Re-start the SCF calculation once of the solution is unstable.\n", + " verbose: Print information if set to True.\n", + " **kwargs: Keyword arguments to be passed to find_from_scf(...).\n", + " \n", + " Returns:\n", + " Active space suggestion as provided by find_from_scf(...).\n", + " \n", + " Raises:\n", + " SCFError: SCF calculation failed to converge or is unstable.\n", + "\n" + ] + } + ], "source": [ "help(find_from_mol)" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 4, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:52.087043Z", + "iopub.status.busy": "2024-04-30T15:22:52.086680Z", + "iopub.status.idle": "2024-04-30T15:22:52.089852Z", + "shell.execute_reply": "2024-04-30T15:22:52.089366Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Help on function find_from_scf in module asf.wrapper:\n", + "\n", + "find_from_scf(mf: pyscf.scf.hf.SCF, max_norb: Optional[int] = None, min_norb: Optional[int] = None, entropy_threshold: float = 0.13862943611198905, states: Union[int, list[tuple[int, int]], NoneType] = None, sort_mos: bool = False, mp2_kwargs: Optional[dict[str, Any]] = None, switch_dmrg: int = 12, dmrg_kwargs: Optional[dict[str, Any]] = None, fci_kwargs: Optional[dict[str, Any]] = None, verbose: bool = True, ci_nroots: int = 1) -> asf.asfbase.ActiveSpace\n", + " Select an active space with an entropy threshold, starting from an SCF calculation.\n", + " \n", + " The function executes the following steps:\n", + " 1) Calculate MP2 natural orbitals using the SCF object provided in the input.\n", + " 2) Select an initial set of MP2 natural orbitals based on their eigenvalues.\n", + " 3) Perform a DMRGCI or CASCI calculation (depending on the number of active orbitals in\n", + " the initial space) using the previously determined orbital subset.\n", + " 4) Among all sensible active spaces, select a solution such that the entropies of all\n", + " active orbitals are above the entropy threshold, and simultaneously the pair\n", + " information sum is maximized.\n", + " \n", + " The output of the function is an ActiveSpace instance that contains:\n", + " - the number of active electrons,\n", + " - the list of MP2 natural orbitals selected for the active space,\n", + " - and the MO coefficient matrix containing all (active and inactive) MP2 natural orbitals.\n", + " \n", + " The columns representing the inactive orbitals in the MO coefficient matrix are ordered\n", + " according to the convention of PySCF: occupied MOs to the left and virtual MOs to the right.\n", + " By default, the original ordering of the MP2 natural orbitals is preserved. This can be\n", + " changed by setting sort_mos to True: then, the columns of the MO coefficients are reordered\n", + " such that they can be passed directly to CASCI/CASSCF without any further sorting.\n", + " \n", + " This function does not provide active spaces for individual excited electronic states.\n", + " However, it can be used to obtain active space suggestions for state-averaged calculations.\n", + " If a value is provided for 'states', the function performs active space selections for all spin\n", + " and electronic states, and returns a representation of the combined active space.\n", + " \n", + " Args:\n", + " mf: RHF or UHF object containing converged orbitals.\n", + " max_norb: Maximum number of active orbitals per root.\n", + " min_norb: Minimum number of active orbitals per root.\n", + " entropy_threshold: Entropy threshold to select a single active space. Among all reasonable\n", + " active spaces, a space with the lowest entropy above this threshold and\n", + " with maximal pair information sum is selected as the final choice.\n", + " states: Electronic states to construct the active space for.\n", + " None (default): Ground state for the same spin as in mf.\n", + " Integer n: lowest n electronic states, same spin as in mf.\n", + " List of Tuples [(s, n)]: lowest n electronic states for each spin s.\n", + " sort_mos: If True, reorder the MO columns as occupied, active, virtual.\n", + " mp2_kwargs: Keyword arguments for MP2 orbital selection (see\n", + " 'MP2NatorbPreselection').\n", + " switch_dmrg: Number of orbitals to switch between the regular FCI solver and DMRG.\n", + " dmrg_kwargs: Further keyword arguments to be passed to the DMRG fcisolver.\n", + " fci_kwargs: Further keyword arguments to be passed to CASCI.fcisolver.\n", + " verbose: Print information if set to True.\n", + " ci_nroots: Number of CI roots to use in CI/DMRG calculation. When several roots\n", + " are requested the CI solver may occasionally converge on the wrong\n", + " eigenvector. Use this option to solve for more roots to improve\n", + " convergence. This option has no direct consequence for the active space\n", + " selection.\n", + " \n", + " Returns:\n", + " Active space including MO indices of active orbitals and MO coefficients\n", + "\n" + ] + } + ], "source": [ "help(find_from_scf)" ] @@ -89,9 +221,27 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 5, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:52.091809Z", + "iopub.status.busy": "2024-04-30T15:22:52.091413Z", + "iopub.status.idle": "2024-04-30T15:22:52.098722Z", + "shell.execute_reply": "2024-04-30T15:22:52.098320Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "mol = Mole()\n", "mol.atom = \"O2.xyz\"\n", @@ -112,9 +262,106 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 6, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:52.100700Z", + "iopub.status.busy": "2024-04-30T15:22:52.100273Z", + "iopub.status.idle": "2024-04-30T15:22:53.584227Z", + "shell.execute_reply": "2024-04-30T15:22:53.583706Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "--------------------------------------------------------------------------------\n", + "Calculating UHF orbitals\n", + "--------------------------------------------------------------------------------\n", + "\n", + "-> Initiating a UHF calculation.\n", + "converged SCF energy = -149.49029917455 = 2.0338703 2S+1 = 3.0224958\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " wavefunction is stable in the internal stability analysis\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> The calculated SCF solution is converged and stable.\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Calculating MP2 natural orbitals\n", + "--------------------------------------------------------------------------------\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "-> Selected initial orbital window of 12 electrons in 11 MP2 natural orbitals.\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Running calculation\n", + "--------------------------------------------------------------------------------\n", + "\n", + "spin = 2, number of roots = 1\n", + "total number of roots calculated = 1\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -149.643455131932 E(CI) = -47.2494800504790 S^2 = 2.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Orbital selection for state 0:\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 2 0.000 0.002 0.001 0.996 0.027 \n", + " 3 0.001 0.004 0.003 0.992 0.055 \n", + " 4 0.001 0.034 0.002 0.963 0.173 a\n", + " 5 0.001 0.034 0.002 0.963 0.173 a\n", + " 6 0.007 0.012 0.015 0.967 0.180 a\n", + " 7 0.004 0.963 0.004 0.030 0.180 a\n", + " 8 0.004 0.963 0.004 0.030 0.180 a\n", + " 9 0.964 0.017 0.011 0.008 0.192 a\n", + " 10 0.988 0.009 0.002 0.001 0.072 \n", + " 11 0.988 0.009 0.002 0.001 0.072 \n", + " 12 0.992 0.004 0.004 0.001 0.055 \n", + "\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Active space selection finished\n", + "--------------------------------------------------------------------------------\n", + "\n", + "-> Selected an active space of 8 electrons in 6 orbitals.\n" + ] + } + ], "source": [ "active_space = find_from_mol(mol)" ] @@ -128,9 +375,25 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 7, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:53.586624Z", + "iopub.status.busy": "2024-04-30T15:22:53.586312Z", + "iopub.status.idle": "2024-04-30T15:22:53.589187Z", + "shell.execute_reply": "2024-04-30T15:22:53.588735Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ActiveSpace: 8 electrons in 6 orbitals\n", + " active MO indices: [4, 5, 6, 7, 8, 9]\n" + ] + } + ], "source": [ "print(active_space)" ] @@ -144,9 +407,27 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 8, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:53.592070Z", + "iopub.status.busy": "2024-04-30T15:22:53.591229Z", + "iopub.status.idle": "2024-04-30T15:22:54.170224Z", + "shell.execute_reply": "2024-04-30T15:22:54.169654Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "pictures_Jmol(\n", " mol=mol, mo_coeff=active_space.mo_coeff, mo_list=active_space.mo_list, mo_index_title=\" \"\n", @@ -167,9 +448,31 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 9, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:54.172275Z", + "iopub.status.busy": "2024-04-30T15:22:54.171974Z", + "iopub.status.idle": "2024-04-30T15:22:54.398457Z", + "shell.execute_reply": "2024-04-30T15:22:54.397911Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASSCF energy = -149.570669531984\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -149.570669531984 E(CI) = -21.8747875720197 S^2 = 2.0000000\n" + ] + } + ], "source": [ "mc = CASSCF(mol, ncas=active_space.norb, nelecas=active_space.nel)\n", "# Before carrying out the CASSCF calculation, the orbital coefficient matrix columns need to be\n", @@ -190,9 +493,27 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 10, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:54.401800Z", + "iopub.status.busy": "2024-04-30T15:22:54.400971Z", + "iopub.status.idle": "2024-04-30T15:22:54.406723Z", + "shell.execute_reply": "2024-04-30T15:22:54.406289Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9962126627975154" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "compare_active_spaces(mc, active_space.mo_coeff, active_space.mo_list)" ] @@ -210,9 +531,210 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 11, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:54.409804Z", + "iopub.status.busy": "2024-04-30T15:22:54.408976Z", + "iopub.status.idle": "2024-04-30T15:23:01.033022Z", + "shell.execute_reply": "2024-04-30T15:23:01.032514Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "--------------------------------------------------------------------------------\n", + "Calculating UHF orbitals\n", + "--------------------------------------------------------------------------------\n", + "\n", + "-> Initiating a UHF calculation.\n", + "converged SCF energy = -149.49029917455 = 2.0338703 2S+1 = 3.0224958\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " wavefunction is stable in the internal stability analysis\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> The calculated SCF solution is converged and stable.\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Calculating MP2 natural orbitals\n", + "--------------------------------------------------------------------------------\n", + "\n", + "\n", + "-> Selected initial orbital window of 12 electrons in 11 MP2 natural orbitals.\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Running calculation\n", + "--------------------------------------------------------------------------------\n", + "\n", + "spin = 0, number of roots = 3\n", + "total number of roots calculated = 3\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "WARN: Mulitple states found in CASCI solver. First state is used to compute the Fock matrix and natural orbitals in active space.\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI state 0 E = -149.599227710433 E(CI) = -47.2052526289797 S^2 = 0.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI state 1 E = -149.599227710068 E(CI) = -47.2052526286144 S^2 = 0.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI state 2 E = -149.577342732763 E(CI) = -47.1833676513098 S^2 = 0.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Orbital selection for state 0:\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 2 0.000 0.001 0.001 0.997 0.025 \n", + " 3 0.001 0.003 0.003 0.994 0.045 \n", + " 4 0.021 0.008 0.008 0.964 0.192 a\n", + " 5 0.021 0.008 0.008 0.964 0.192 a\n", + " 6 0.007 0.012 0.012 0.969 0.170 a\n", + " 7 0.067 0.410 0.410 0.114 1.159 a\n", + " 8 0.067 0.410 0.410 0.114 1.159 a\n", + " 9 0.968 0.012 0.012 0.008 0.176 a\n", + " 10 0.991 0.004 0.004 0.001 0.062 \n", + " 11 0.991 0.004 0.004 0.001 0.062 \n", + " 12 0.993 0.003 0.003 0.001 0.051 \n", + "\n", + "\n", + "Orbital selection for state 1:\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 2 0.000 0.001 0.001 0.997 0.025 \n", + " 3 0.001 0.003 0.003 0.994 0.045 \n", + " 4 0.002 0.027 0.027 0.945 0.258 a\n", + " 5 0.002 0.027 0.027 0.945 0.258 a\n", + " 6 0.007 0.012 0.012 0.969 0.170 a\n", + " 7 0.404 0.073 0.073 0.451 1.107 a\n", + " 8 0.404 0.073 0.073 0.451 1.107 a\n", + " 9 0.968 0.012 0.012 0.008 0.176 a\n", + " 10 0.991 0.004 0.004 0.001 0.063 \n", + " 11 0.991 0.004 0.004 0.001 0.063 \n", + " 12 0.993 0.003 0.003 0.001 0.051 \n", + "\n", + "\n", + "Orbital selection for state 2:\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 2 0.001 0.002 0.002 0.995 0.040 \n", + " 3 0.006 0.003 0.003 0.987 0.083 \n", + " 4 0.028 0.006 0.006 0.959 0.204 a\n", + " 5 0.028 0.006 0.006 0.959 0.204 a\n", + " 6 0.008 0.012 0.012 0.969 0.173 a\n", + " 7 0.459 0.008 0.008 0.525 0.771 a\n", + " 8 0.459 0.008 0.008 0.525 0.771 a\n", + " 9 0.968 0.011 0.011 0.009 0.177 a\n", + " 10 0.991 0.004 0.004 0.001 0.058 \n", + " 11 0.991 0.004 0.004 0.001 0.058 \n", + " 12 0.992 0.003 0.003 0.001 0.052 \n", + "\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Running calculation\n", + "--------------------------------------------------------------------------------\n", + "\n", + "spin = 2, number of roots = 1\n", + "total number of roots calculated = 1\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -149.643455131954 E(CI) = -47.2494800505006 S^2 = 2.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Orbital selection for state 0:\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 2 0.000 0.002 0.001 0.996 0.027 \n", + " 3 0.001 0.004 0.003 0.992 0.055 \n", + " 4 0.001 0.034 0.002 0.963 0.173 a\n", + " 5 0.001 0.034 0.002 0.963 0.173 a\n", + " 6 0.007 0.012 0.015 0.967 0.180 a\n", + " 7 0.004 0.963 0.004 0.030 0.180 a\n", + " 8 0.004 0.963 0.004 0.030 0.180 a\n", + " 9 0.964 0.017 0.011 0.008 0.192 a\n", + " 10 0.988 0.009 0.002 0.001 0.072 \n", + " 11 0.988 0.009 0.002 0.001 0.072 \n", + " 12 0.992 0.004 0.004 0.001 0.055 \n", + "\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Active space selection finished\n", + "--------------------------------------------------------------------------------\n", + "\n", + "-> Selected an active space of 8 electrons in 6 orbitals.\n" + ] + } + ], "source": [ "active_space = find_from_mol(mol, states=[(0, 3), (2, 1)])" ] @@ -228,9 +750,73 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 12, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:01.036609Z", + "iopub.status.busy": "2024-04-30T15:23:01.035591Z", + "iopub.status.idle": "2024-04-30T15:23:01.846499Z", + "shell.execute_reply": "2024-04-30T15:23:01.846002Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASSCF energy = -149.538540696948\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -149.538540696948 E(CI) = -21.9089593706585 S^2 = 0.5000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI state-averaged energy = -149.538540696948\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI energy for each state\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " State 0 weight 0.25 E = -149.570469324468 S^2 = 2.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " State 1 weight 0.25 E = -149.537342839017 S^2 = 0.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " State 2 weight 0.25 E = -149.537342839002 S^2 = 0.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " State 3 weight 0.25 E = -149.509007785306 S^2 = 0.0000000\n" + ] + } + ], "source": [ "mc = CASSCF(mol, ncas=active_space.norb, nelecas=active_space.nel)\n", "# The solvers for each spin need to be set up individually.\n", @@ -258,18 +844,129 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 13, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:01.849878Z", + "iopub.status.busy": "2024-04-30T15:23:01.849028Z", + "iopub.status.idle": "2024-04-30T15:23:01.853957Z", + "shell.execute_reply": "2024-04-30T15:23:01.853515Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Help on function sized_space_from_mol in module asf.wrapper:\n", + "\n", + "sized_space_from_mol(mol: pyscf.gto.mole.Mole, size: Union[int, tuple[int, int]], max_scf_restarts: int = 5, scf_kwargs: Optional[dict[str, Any]] = None, verbose: bool = True, **kwargs) -> asf.asfbase.ActiveSpace\n", + " Select an active space of certain size starting from a molecule.\n", + " \n", + " This function attempts to calculate a stable UHF solution for the Mole object provided.\n", + " Subsequently, sized_space_from_scf(...) is called to calculate MP2 natural orbitals, and to\n", + " select an active space from those.\n", + " \n", + " For more details, please refer to sized_space_from_scf(...).\n", + " \n", + " Args:\n", + " mol: Mole instance containing the molecular data.\n", + " size: Requested number of active orbitals M, or number of active electrons N\n", + " and number of active orbitals as a CAS tuple (N, M).\n", + " max_scf_restarts: Maximal number of times to restart when an unconverged or unstable\n", + " solution is found.\n", + " scf_kwargs: Dictionary of options to be set for the SCF object.\n", + " Note: this function deviates from PySCF defaults for a few settings.\n", + " stability_analysis: Perform a stability analysis of the SCF solution if True.\n", + " Re-start the SCF calculation once of the solution is unstable.\n", + " verbose: Print information if set to True.\n", + " **kwargs: Keyword arguments to be passed to sized_space_from_scf(...).\n", + " \n", + " Returns:\n", + " Active space suggestion as provided by sized_space_from_scf(...).\n", + " \n", + " Raises:\n", + " SCFError: SCF calculation failed to converge or is unstable.\n", + "\n" + ] + } + ], "source": [ "help(sized_space_from_mol)" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 14, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:01.857158Z", + "iopub.status.busy": "2024-04-30T15:23:01.856321Z", + "iopub.status.idle": "2024-04-30T15:23:01.861208Z", + "shell.execute_reply": "2024-04-30T15:23:01.860769Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Help on function sized_space_from_scf in module asf.wrapper:\n", + "\n", + "sized_space_from_scf(mf: pyscf.scf.hf.SCF, size: Union[int, tuple[int, int]], state: Union[int, tuple[int, int], NoneType] = None, sort_mos: bool = False, mp2_kwargs: Optional[dict[str, Any]] = None, switch_dmrg: int = 12, dmrg_kwargs: Optional[dict[str, Any]] = None, fci_kwargs: Optional[dict[str, Any]] = None, verbose: bool = True, ci_nroots: int = 1) -> asf.asfbase.ActiveSpace\n", + " Select an active space of certain size starting from an SCF calculation.\n", + " \n", + " The function executes the following steps:\n", + " 1) Calculate MP2 natural orbitals using the SCF object provided in the input.\n", + " 2) Select an initial set of MP2 natural orbitals based on their eigenvalues.\n", + " 3) Perform a DMRGCI or CASCI calculation (depending on the number of active orbitals in\n", + " the initial space) using the previously determined orbital subset.\n", + " 4) Select the final active space based on the pair information.\n", + " \n", + " The output of the function is an ActiveSpace instance that contains:\n", + " - the number of active electrons,\n", + " - the list of MP2 natural orbitals selected for the active space,\n", + " - and the MO coefficient matrix containing all (active and inactive) MP2 natural orbitals.\n", + " \n", + " The columns representing the inactive orbitals in the MO coefficient matrix are ordered\n", + " according to the convention of PySCF: occupied MOs to the left and virtual MOs to the right.\n", + " By default, the original ordering of the MP2 natural orbitals is preserved. This can be\n", + " changed by setting reorder_mos to True: then, the columns of the MO coefficients are reordered\n", + " such that they can be passed directly to CASCI/CASSCF without any further sorting.\n", + " \n", + " This function does not provide active spaces suggestions for state-averaged calculations, but\n", + " for individual (excited) electronic states only. By default an active space is suggested for\n", + " the ground state in the same spin configuration as the given SCF calculation. If a value is\n", + " provided for 'state', the function performs an active space selection for the specific spin and\n", + " electronic state.\n", + " \n", + " Args:\n", + " mf: RHF or UHF object containing converged orbitals.\n", + " size: Requested number of active orbitals M, or number of active electrons N\n", + " and number of active orbitals as a CAS tuple (N, M).\n", + " state: Electronic state to construct the active space for.\n", + " None (default): Ground state for the same spin as in mf.\n", + " Integer n: electronic state n (indexed from 0), same spin as in mf.\n", + " Tuple (s, n): electronic state n (indexed from 0) for spin s.\n", + " sort_mos: If True, reorder the MO columns as occupied, active, virtual.\n", + " mp2_kwargs: Keyword arguments for MP2 orbital selection (see\n", + " 'MP2NatorbPreselection').\n", + " switch_dmrg: Number of orbitals to switch between the regular FCI solver and DMRG.\n", + " dmrg_kwargs: Further keyword arguments to be passed to the DMRG fcisolver.\n", + " fci_kwargs: Further keyword arguments to be passed to CASCI.fcisolver.\n", + " verbose: Print information if set to True.\n", + " ci_nroots: Number of CI roots to use in CI/DMRG calculation. When several roots\n", + " are requested the CI solver may occasionally converge on the wrong\n", + " eigenvector. Use this option to solve for more roots to improve\n", + " convergence. This option has no direct consequence for the active space\n", + " selection.\n", + " \n", + " Returns:\n", + " Active space including MO indices of active orbitals and MO coefficients\n", + "\n" + ] + } + ], "source": [ "help(sized_space_from_scf)" ] @@ -285,9 +982,116 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 15, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:01.864333Z", + "iopub.status.busy": "2024-04-30T15:23:01.863514Z", + "iopub.status.idle": "2024-04-30T15:23:03.329817Z", + "shell.execute_reply": "2024-04-30T15:23:03.329309Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "--------------------------------------------------------------------------------\n", + "Calculating UHF orbitals\n", + "--------------------------------------------------------------------------------\n", + "\n", + "-> Initiating a UHF calculation.\n", + "converged SCF energy = -149.49029917455 = 2.0338703 2S+1 = 3.0224958\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " wavefunction is stable in the internal stability analysis\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> The calculated SCF solution is converged and stable.\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Calculating MP2 natural orbitals\n", + "--------------------------------------------------------------------------------\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "-> Selected initial orbital window of 12 electrons in 11 MP2 natural orbitals.\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Running calculation\n", + "--------------------------------------------------------------------------------\n", + "\n", + "spin = 2, requested root = 0\n", + "total number of roots calculated = 1\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -149.643455131926 E(CI) = -47.2494800504734 S^2 = 2.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Orbital selection for state 0:\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 2 0.000 0.002 0.001 0.996 0.027 \n", + " 3 0.001 0.004 0.003 0.992 0.055 \n", + " 4 0.001 0.034 0.002 0.963 0.173 a\n", + " 5 0.001 0.034 0.002 0.963 0.173 a\n", + " 6 0.007 0.012 0.015 0.967 0.180 \n", + " 7 0.004 0.963 0.004 0.030 0.180 a\n", + " 8 0.004 0.963 0.004 0.030 0.180 a\n", + " 9 0.964 0.017 0.011 0.008 0.192 \n", + " 10 0.988 0.009 0.002 0.001 0.072 \n", + " 11 0.988 0.009 0.002 0.001 0.072 \n", + " 12 0.992 0.004 0.004 0.001 0.055 \n", + "\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Active space selection finished\n", + "--------------------------------------------------------------------------------\n", + "\n", + "-> Selected an active space of 6 electrons in 4 orbitals.\n" + ] + }, + { + "data": { + "text/plain": [ + "ActiveSpace(nel=6, mo_list=[4, 5, 7, 8], mo_coeff=...)" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "sized_space_from_mol(mol, size=4)" ] @@ -301,9 +1105,116 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 16, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:03.333303Z", + "iopub.status.busy": "2024-04-30T15:23:03.332432Z", + "iopub.status.idle": "2024-04-30T15:23:04.736919Z", + "shell.execute_reply": "2024-04-30T15:23:04.736396Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "--------------------------------------------------------------------------------\n", + "Calculating UHF orbitals\n", + "--------------------------------------------------------------------------------\n", + "\n", + "-> Initiating a UHF calculation.\n", + "converged SCF energy = -149.49029917455 = 2.0338703 2S+1 = 3.0224958\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " wavefunction is stable in the internal stability analysis\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> The calculated SCF solution is converged and stable.\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Calculating MP2 natural orbitals\n", + "--------------------------------------------------------------------------------\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "-> Selected initial orbital window of 12 electrons in 11 MP2 natural orbitals.\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Running calculation\n", + "--------------------------------------------------------------------------------\n", + "\n", + "spin = 2, requested root = 0\n", + "total number of roots calculated = 1\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -149.643455130938 E(CI) = -47.2494800494852 S^2 = 2.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Orbital selection for state 0:\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 2 0.000 0.002 0.001 0.996 0.027 \n", + " 3 0.001 0.004 0.003 0.992 0.055 \n", + " 4 0.001 0.034 0.002 0.963 0.173 a\n", + " 5 0.001 0.034 0.002 0.963 0.173 a\n", + " 6 0.007 0.012 0.015 0.967 0.180 \n", + " 7 0.004 0.963 0.004 0.030 0.180 a\n", + " 8 0.004 0.963 0.004 0.030 0.180 a\n", + " 9 0.964 0.017 0.011 0.008 0.192 \n", + " 10 0.988 0.009 0.002 0.001 0.072 \n", + " 11 0.988 0.009 0.002 0.001 0.072 \n", + " 12 0.992 0.004 0.004 0.001 0.055 \n", + "\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Active space selection finished\n", + "--------------------------------------------------------------------------------\n", + "\n", + "-> Selected an active space of 6 electrons in 4 orbitals.\n" + ] + }, + { + "data": { + "text/plain": [ + "ActiveSpace(nel=6, mo_list=[4, 5, 7, 8], mo_coeff=...)" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "sized_space_from_mol(mol, size=(6, 4))" ] @@ -332,7 +1243,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.7" + "version": "3.11.9" } }, "nbformat": 4, diff --git a/.doctrees/nbsphinx/notebooks/pbenzyne/pbenzyne.ipynb b/.doctrees/nbsphinx/notebooks/pbenzyne/pbenzyne.ipynb index 3ad74bd..5bebbb4 100644 --- a/.doctrees/nbsphinx/notebooks/pbenzyne/pbenzyne.ipynb +++ b/.doctrees/nbsphinx/notebooks/pbenzyne/pbenzyne.ipynb @@ -11,8 +11,15 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 1, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:06.359090Z", + "iopub.status.busy": "2024-04-30T15:23:06.358932Z", + "iopub.status.idle": "2024-04-30T15:23:06.552742Z", + "shell.execute_reply": "2024-04-30T15:23:06.552163Z" + } + }, "outputs": [], "source": [ "# Suppress PySCF warning...\n", @@ -22,8 +29,15 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 2, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:06.555217Z", + "iopub.status.busy": "2024-04-30T15:23:06.554959Z", + "iopub.status.idle": "2024-04-30T15:23:06.919258Z", + "shell.execute_reply": "2024-04-30T15:23:06.918664Z" + } + }, "outputs": [], "source": [ "from pathlib import Path\n", @@ -47,8 +61,15 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 3, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:06.921933Z", + "iopub.status.busy": "2024-04-30T15:23:06.921324Z", + "iopub.status.idle": "2024-04-30T15:23:06.927274Z", + "shell.execute_reply": "2024-04-30T15:23:06.926786Z" + } + }, "outputs": [], "source": [ "mol = Mole(\n", @@ -71,9 +92,45 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 4, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:06.929301Z", + "iopub.status.busy": "2024-04-30T15:23:06.928913Z", + "iopub.status.idle": "2024-04-30T15:23:08.690251Z", + "shell.execute_reply": "2024-04-30T15:23:08.689672Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> Initiating a UHF calculation.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "converged SCF energy = -229.093693646044 = 2.3863578e-10 2S+1 = 1\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " wavefunction is stable in the internal stability analysis\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> The calculated SCF solution is converged and stable.\n" + ] + } + ], "source": [ "mf = stable_scf(mol)" ] @@ -108,9 +165,25 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 5, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:08.694056Z", + "iopub.status.busy": "2024-04-30T15:23:08.693154Z", + "iopub.status.idle": "2024-04-30T15:23:14.893867Z", + "shell.execute_reply": "2024-04-30T15:23:14.893340Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ActiveSpace: 20 electrons in 18 orbitals\n", + " active MO indices: [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27]\n" + ] + } + ], "source": [ "# If set to True, determine the initial active space using pair information derived from\n", "# Moller-Plesset theory (more complicated procedure).\n", @@ -138,8 +211,15 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 6, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:14.897098Z", + "iopub.status.busy": "2024-04-30T15:23:14.896238Z", + "iopub.status.idle": "2024-04-30T15:23:14.900207Z", + "shell.execute_reply": "2024-04-30T15:23:14.899767Z" + } + }, "outputs": [], "source": [ "sf = ASFDMRG(\n", @@ -160,9 +240,24 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 7, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:14.903419Z", + "iopub.status.busy": "2024-04-30T15:23:14.902587Z", + "iopub.status.idle": "2024-04-30T15:24:34.969530Z", + "shell.execute_reply": "2024-04-30T15:24:34.969069Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -229.378728980730 E(CI) = -65.3065648982403 S^2 = 0.0000000\n" + ] + } + ], "source": [ "sf.calculate()" ] @@ -187,8 +282,15 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 8, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:24:34.971914Z", + "iopub.status.busy": "2024-04-30T15:24:34.971560Z", + "iopub.status.idle": "2024-04-30T15:24:36.537122Z", + "shell.execute_reply": "2024-04-30T15:24:36.536610Z" + } + }, "outputs": [], "source": [ "active_spaces = sf.find_many()" @@ -230,9 +332,30 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 9, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:24:36.539591Z", + "iopub.status.busy": "2024-04-30T15:24:36.539253Z", + "iopub.status.idle": "2024-04-30T15:24:36.542574Z", + "shell.execute_reply": "2024-04-30T15:24:36.542101Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(2, 2): [19, 20]\n", + "(4, 4): [18, 19, 20, 21]\n", + "(6, 6): [17, 18, 19, 20, 21, 22]\n", + "(8, 8): [15, 17, 18, 19, 20, 21, 22, 24]\n", + "(10, 9): [14, 15, 17, 18, 19, 20, 21, 22, 24]\n", + "(12, 12): [14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25]\n", + "(14, 14): [13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]\n" + ] + } + ], "source": [ "for nel, nmo in active_spaces.keys():\n", " for mo_info in active_spaces[(nel, nmo)]:\n", @@ -256,9 +379,27 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 10, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:24:36.544642Z", + "iopub.status.busy": "2024-04-30T15:24:36.544326Z", + "iopub.status.idle": "2024-04-30T15:24:37.568985Z", + "shell.execute_reply": "2024-04-30T15:24:37.568335Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# If plots have been generated in a previous run of the Notebook, they will be reused here.\n", "# Set redo_plots = True, if new orbital images should be created regardless of existing files.\n", @@ -288,9 +429,52 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 11, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:24:37.571113Z", + "iopub.status.busy": "2024-04-30T15:24:37.570779Z", + "iopub.status.idle": "2024-04-30T15:24:37.824137Z", + "shell.execute_reply": "2024-04-30T15:24:37.823614Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO orb. value\n", + " 10 0.0089\n", + " 11 0.0106\n", + " 12 0.0191\n", + " 13 0.0257\n", + " 14 0.0466\n", + " 15 0.0833\n", + " 16 0.0504\n", + " 17 0.1997\n", + " 18 0.1953\n", + " 19 0.9945\n", + " 20 0.9991\n", + " 21 0.1907\n", + " 22 0.2170\n", + " 23 0.0411\n", + " 24 0.0765\n", + " 25 0.0400\n", + " 26 0.0284\n", + " 27 0.0256\n" + ] + }, + { + "data": { + "image/png": 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- 0.0.1.dev1+gc2b82c8 + 0.0.1.dev1+gda924f1
diff --git a/examples.html b/examples.html index fee7d6a..f3ae773 100644 --- a/examples.html +++ b/examples.html @@ -4,7 +4,7 @@ - Examples — Active Space Finder 0.0.1.dev1+gc2b82c8 documentation + Examples — Active Space Finder 0.0.1.dev1+gda924f1 documentation @@ -17,7 +17,7 @@ - + @@ -43,7 +43,7 @@
- 0.0.1.dev1+gc2b82c8 + 0.0.1.dev1+gda924f1
@@ -99,15 +99,15 @@

Examples

Active Space Finder Examples

diff --git a/genindex.html b/genindex.html index 28702d6..c895f81 100644 --- a/genindex.html +++ b/genindex.html @@ -3,7 +3,7 @@ - Index — Active Space Finder 0.0.1.dev1+gc2b82c8 documentation + Index — Active Space Finder 0.0.1.dev1+gda924f1 documentation @@ -15,7 +15,7 @@ - + @@ -37,7 +37,7 @@
- 0.0.1.dev1+gc2b82c8 + 0.0.1.dev1+gda924f1
diff --git a/index.html b/index.html index 194157f..39d20fb 100644 --- a/index.html +++ b/index.html @@ -4,7 +4,7 @@ - Active Space Finder Software — Active Space Finder 0.0.1.dev1+gc2b82c8 documentation + Active Space Finder Software — Active Space Finder 0.0.1.dev1+gda924f1 documentation @@ -16,7 +16,7 @@ - + @@ -41,7 +41,7 @@
- 0.0.1.dev1+gc2b82c8 + 0.0.1.dev1+gda924f1
diff --git a/installation.html b/installation.html index 58a1d75..4ae8b26 100644 --- a/installation.html +++ b/installation.html @@ -4,7 +4,7 @@ - Installation — Active Space Finder 0.0.1.dev1+gc2b82c8 documentation + Installation — Active Space Finder 0.0.1.dev1+gda924f1 documentation @@ -16,7 +16,7 @@ - + @@ -40,7 +40,7 @@
- 0.0.1.dev1+gc2b82c8 + 0.0.1.dev1+gda924f1
diff --git a/modules.html b/modules.html index 5e167c3..01d04ca 100644 --- a/modules.html +++ b/modules.html @@ -4,7 +4,7 @@ - Code documentation — Active Space Finder 0.0.1.dev1+gc2b82c8 documentation + Code documentation — Active Space Finder 0.0.1.dev1+gda924f1 documentation @@ -16,7 +16,7 @@ - + @@ -39,7 +39,7 @@
- 0.0.1.dev1+gc2b82c8 + 0.0.1.dev1+gda924f1
diff --git a/notebooks/open_shell/open_shell.html b/notebooks/open_shell/open_shell.html index 47e6cad..8a3deb7 100644 --- a/notebooks/open_shell/open_shell.html +++ b/notebooks/open_shell/open_shell.html @@ -4,7 +4,7 @@ - Search with fallback mode — Active Space Finder 0.0.1.dev1+gc2b82c8 documentation + Search with fallback mode — Active Space Finder 0.0.1.dev1+gda924f1 documentation @@ -17,7 +17,7 @@ - + @@ -43,7 +43,7 @@
- 0.0.1.dev1+gc2b82c8 + 0.0.1.dev1+gda924f1
@@ -129,7 +129,7 @@

Search with fallback mode

The first example is the hexaaqua-iron(III) complex in its sextet ground state using a molecular structure taken from Phys. Chem. Chem. Phys. 21, 4854-4870, (2019) [doi:10.1039/C9CP00105K], which was optimized in the gas phase for the sextet ground state at the BP86-D3/def2-TZVP level of theory. The complex has ideal octahedral symmetry with all Fe-O distances measuring 2.06 Å.

-
[ ]:
+
[1]:
 
# Suppress PySCF warning...
@@ -139,7 +139,7 @@ 

Example 1: Hexaaqua-Iron(III) cation -
[ ]:
+
[2]:
 
from asf.asfbase import print_mo_table
@@ -158,7 +158,7 @@ 

Example 1: Hexaaqua-Iron(III) cation

The ASF package assumes that molecular systems are represented as PySCF Mole objects. The first step is therefore to initialize the hexaaqua-iron(III) complex as follows:

-
[ ]:
+
[3]:
 
mol = M(
@@ -194,8 +194,8 @@ 

1.1. Setting up the molecular system

1.2. Initializing the ASF class

Next, we prepare an ASF class instance that will later compute the single-orbital entropies and pair information based on an approximate DMRG-CI calculation. We start with an unrestricted Hartree-Fock calculation using the convenient stable_scf function from the asf.scf module. Using the from_preselection method, the selection of the initial space and instantiation of the ASFDMRG is carried out with one function call.

-
-
[ ]:
+
+
[4]:
 

Inspecting the single-orbital densities (w) and single-orbital entropy (S) for the initial space, we notice that all orbitals display very low entropies. For comparison, the default entropy threshold applied by find_one_entropy is ca. 0.139 and the minimal threshold applied to select the reasonable set of spaces is 0.07. We can therefore expect that at least one of the three criteria mentioned above is not met and the collection of reasonable spaces is empty.

-
-
[ ]:
+
+
[5]:
 
print_mo_table(orbital_densities=sf.one_orbital_density(), mo_list=sf.mo_list.tolist(), selections={"initial": sf.mo_list})
 
+
+
+
+
+
+ MO    w( )    w(↑)    w(↓)    w(⇅)       S  sel
+ 27   0.000   0.004   0.004   0.992   0.053  initial
+ 28   0.001   0.005   0.005   0.990   0.066  initial
+ 29   0.001   0.005   0.004   0.990   0.065  initial
+ 30   0.001   0.004   0.004   0.991   0.061  initial
+ 31   0.002   0.004   0.004   0.990   0.065  initial
+ 32   0.002   0.004   0.004   0.990   0.064  initial
+ 33   0.002   0.004   0.004   0.989   0.070  initial
+ 34   0.001   0.005   0.004   0.990   0.065  initial
+ 35   0.001   0.004   0.004   0.990   0.063  initial
+ 36   0.001   0.005   0.005   0.989   0.073  initial
+ 37   0.001   0.005   0.004   0.991   0.062  initial
+ 38   0.001   0.005   0.005   0.990   0.068  initial
+ 39   0.001   0.998   0.000   0.001   0.016  initial
+ 40   0.001   0.998   0.000   0.001   0.016  initial
+ 41   0.000   1.000   0.000   0.000   0.001  initial
+ 42   0.000   1.000   0.000   0.000   0.001  initial
+ 43   0.000   1.000   0.000   0.000   0.001  initial
+ 44   0.988   0.006   0.005   0.001   0.078  initial
+ 45   0.991   0.004   0.004   0.001   0.059  initial
+ 46   0.991   0.004   0.004   0.001   0.061  initial
+ 47   0.991   0.004   0.004   0.001   0.061  initial
+ 48   0.990   0.004   0.004   0.002   0.068  initial
+ 49   0.990   0.004   0.004   0.002   0.064  initial
+ 50   0.990   0.004   0.004   0.002   0.064  initial
+ 51   0.991   0.004   0.004   0.001   0.060  initial
+ 52   0.990   0.004   0.004   0.001   0.063  initial
+ 53   0.991   0.004   0.004   0.001   0.062  initial
+ 54   0.991   0.004   0.004   0.001   0.057  initial
+ 55   0.992   0.004   0.004   0.000   0.052  initial
+ 56   0.996   0.002   0.002   0.000   0.030  initial
+
+
+

1.3. Searching for multiple spaces

Following the explanations outlined above, it is unsurprising if find_many does not suggest any non-trivial active space. Indeed, this is the case if we strictly apply the three criteria mentioned above without exemption for the minimal space, i.e. with keep_minimal=False.

-

1.4. Searching for a single active space

@@ -250,8 +326,8 @@

1.4. Searching for a single active space"unfiltered" extends the search to the large set of unfiltered spaces if the selection attempt with the reasonable spaces was unsuccessful. Similarly to options 1)-3) in this enumeration, it will first try to select an unfiltered space with a minimal entropy above the given threshold that maximizes the pair information sum and if it fails, then attempts to find the unfiltered space with the highest minimal entropy below the entropy threshold.

The fallback_mode argument determines to which point this sequence should be executed if the “strict” search does not yield a result. By default it is set to “minimal”, i.e. at most the “minimal” fallback search is run before an exception is thrown. "unfiltered" is an expert option that is disabled by default, as the active spaces returned thereby are not at all likely to lead to converging CASSCF calculations.

-

1.5. Visualizing the results

To visualize the suggested (5, 5) space, we generate molecular orbital images with Jmol via the pictures_Jmol utility function.

-
@@ -331,7 +439,7 @@

Example 2: Hydroxyl radical

2.1. Setting up the molecular system

2.3. Searching for a single active space

As expected, applying the search criteria without a fallback does not yield a suggestion for an active space.

-

2.4. Visualizing the results

-
diff --git a/notebooks/open_shell/open_shell.ipynb b/notebooks/open_shell/open_shell.ipynb index 4d2e1b2..dde3caf 100644 --- a/notebooks/open_shell/open_shell.ipynb +++ b/notebooks/open_shell/open_shell.ipynb @@ -33,9 +33,16 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "id": "11b148c6", - "metadata": {}, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:15:03.638823Z", + "iopub.status.busy": "2024-04-30T15:15:03.638449Z", + "iopub.status.idle": "2024-04-30T15:15:03.829980Z", + "shell.execute_reply": "2024-04-30T15:15:03.829466Z" + } + }, "outputs": [], "source": [ "# Suppress PySCF warning...\n", @@ -45,9 +52,16 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "id": "9b2d20c2-7148-4bf9-a6e5-d4760d4ddb91", - "metadata": {}, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:15:03.832421Z", + "iopub.status.busy": "2024-04-30T15:15:03.832014Z", + "iopub.status.idle": "2024-04-30T15:15:04.090270Z", + "shell.execute_reply": "2024-04-30T15:15:04.089739Z" + } + }, "outputs": [], "source": [ "from asf.asfbase import print_mo_table\n", @@ -73,9 +87,16 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "id": "bf51d818", - "metadata": {}, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:15:04.092720Z", + "iopub.status.busy": "2024-04-30T15:15:04.092312Z", + "iopub.status.idle": "2024-04-30T15:15:04.099920Z", + "shell.execute_reply": "2024-04-30T15:15:04.099533Z" + } + }, "outputs": [], "source": [ "mol = M(\n", @@ -118,10 +139,60 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "id": "6afa97dc-4e1b-4e79-9ade-f68ccfc05776", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:15:04.101949Z", + "iopub.status.busy": "2024-04-30T15:15:04.101614Z", + "iopub.status.idle": "2024-04-30T15:20:27.024844Z", + "shell.execute_reply": "2024-04-30T15:20:27.024363Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> Initiating a UHF calculation.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "converged SCF energy = -1717.17935339354 = 8.7538697 2S+1 = 6.0012898\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " wavefunction is stable in the internal stability analysis\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> The calculated SCF solution is converged and stable.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> Selected an initial space of 29 electrons and 30 orbitals.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -1717.36168588841 E(CI) = -138.313507713937 S^2 = 8.7500000\n" + ] + } + ], "source": [ "mf = stable_scf(mol)\n", "sf = ASFDMRG.from_preselection(MP2NatorbPreselection(mf), maxM=150)\n", @@ -139,10 +210,56 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "id": "dee9bd10-8baf-4595-bad7-75b32fc6908f", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:20:27.027955Z", + "iopub.status.busy": "2024-04-30T15:20:27.027113Z", + "iopub.status.idle": "2024-04-30T15:20:27.989138Z", + "shell.execute_reply": "2024-04-30T15:20:27.988671Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 27 0.000 0.004 0.004 0.992 0.053 initial\n", + " 28 0.001 0.005 0.005 0.990 0.066 initial\n", + " 29 0.001 0.005 0.004 0.990 0.065 initial\n", + " 30 0.001 0.004 0.004 0.991 0.061 initial\n", + " 31 0.002 0.004 0.004 0.990 0.065 initial\n", + " 32 0.002 0.004 0.004 0.990 0.064 initial\n", + " 33 0.002 0.004 0.004 0.989 0.070 initial\n", + " 34 0.001 0.005 0.004 0.990 0.065 initial\n", + " 35 0.001 0.004 0.004 0.990 0.063 initial\n", + " 36 0.001 0.005 0.005 0.989 0.073 initial\n", + " 37 0.001 0.005 0.004 0.991 0.062 initial\n", + " 38 0.001 0.005 0.005 0.990 0.068 initial\n", + " 39 0.001 0.998 0.000 0.001 0.016 initial\n", + " 40 0.001 0.998 0.000 0.001 0.016 initial\n", + " 41 0.000 1.000 0.000 0.000 0.001 initial\n", + " 42 0.000 1.000 0.000 0.000 0.001 initial\n", + " 43 0.000 1.000 0.000 0.000 0.001 initial\n", + " 44 0.988 0.006 0.005 0.001 0.078 initial\n", + " 45 0.991 0.004 0.004 0.001 0.059 initial\n", + " 46 0.991 0.004 0.004 0.001 0.061 initial\n", + " 47 0.991 0.004 0.004 0.001 0.061 initial\n", + " 48 0.990 0.004 0.004 0.002 0.068 initial\n", + " 49 0.990 0.004 0.004 0.002 0.064 initial\n", + " 50 0.990 0.004 0.004 0.002 0.064 initial\n", + " 51 0.991 0.004 0.004 0.001 0.060 initial\n", + " 52 0.990 0.004 0.004 0.001 0.063 initial\n", + " 53 0.991 0.004 0.004 0.001 0.062 initial\n", + " 54 0.991 0.004 0.004 0.001 0.057 initial\n", + " 55 0.992 0.004 0.004 0.000 0.052 initial\n", + " 56 0.996 0.002 0.002 0.000 0.030 initial\n", + "\n" + ] + } + ], "source": [ "print_mo_table(orbital_densities=sf.one_orbital_density(), mo_list=sf.mo_list.tolist(), selections={\"initial\": sf.mo_list})" ] @@ -159,10 +276,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "3c18319f-7feb-46a5-914a-47ae697aa8c5", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:20:27.991354Z", + "iopub.status.busy": "2024-04-30T15:20:27.991029Z", + "iopub.status.idle": "2024-04-30T15:20:56.167090Z", + "shell.execute_reply": "2024-04-30T15:20:56.166542Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Active spaces matching criteria 1) - 3): {}\n" + ] + } + ], "source": [ "spaces_strict = sf.find_many(keep_minimal=False)\n", "print(f\"Active spaces matching criteria 1) - 3): {spaces_strict}\")" @@ -178,10 +310,33 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "ae319bc3-0d5a-41f5-8262-81f464e2c8b7", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:20:56.169250Z", + "iopub.status.busy": "2024-04-30T15:20:56.168840Z", + "iopub.status.idle": "2024-04-30T15:21:24.623554Z", + "shell.execute_reply": "2024-04-30T15:21:24.622986Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Active spaces matching criteria 1) - 3) including minimal space:\n", + "{(5, 5): [MOListInfo(mo_list=[39, 40, 41, 42, 43],\n", + " nel=5,\n", + " minimal=True,\n", + " pairinfo_sum=-0.00010668105447022536,\n", + " max_increment=0.0005160499019355715,\n", + " min_decrement=-0.00028700342817654953,\n", + " min_entropy=0.0008159031440486565,\n", + " min_edge_sum=5.051198487799289e-05)]}\n" + ] + } + ], "source": [ "spaces_minimal = sf.find_many()\n", "print(f\"Active spaces matching criteria 1) - 3) including minimal space:\")\n", @@ -207,10 +362,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "id": "322fc3fd-b0bd-4701-99e9-d8ff4963c5fe", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:21:24.625606Z", + "iopub.status.busy": "2024-04-30T15:21:24.625429Z", + "iopub.status.idle": "2024-04-30T15:21:52.161079Z", + "shell.execute_reply": "2024-04-30T15:21:52.160612Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> Could not determine active space with FALLBACK_MODE='strict'.\n" + ] + } + ], "source": [ "FALLBACK_MODE = \"strict\"\n", "\n", @@ -231,10 +401,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "id": "92ecd3f1-03a3-49b8-8f0d-876892bebdff", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:21:52.163229Z", + "iopub.status.busy": "2024-04-30T15:21:52.162844Z", + "iopub.status.idle": "2024-04-30T15:22:19.876687Z", + "shell.execute_reply": "2024-04-30T15:22:19.876163Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> Could not determine active space with FALLBACK_MODE='below_threshold'.\n" + ] + } + ], "source": [ "FALLBACK_MODE = \"below_threshold\"\n", "\n", @@ -255,10 +440,26 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "id": "315662dc-d087-40c2-bc05-9b6070945971", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:19.878919Z", + "iopub.status.busy": "2024-04-30T15:22:19.878610Z", + "iopub.status.idle": "2024-04-30T15:22:47.342781Z", + "shell.execute_reply": "2024-04-30T15:22:47.342248Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ActiveSpace: 5 electrons in 5 orbitals\n", + " active MO indices: [39, 40, 41, 42, 43]\n" + ] + } + ], "source": [ "FALLBACK_MODE = \"minimal\"\n", "\n", @@ -281,10 +482,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "id": "d512bc20-5812-4ace-9173-e4a5ff273731", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:47.344976Z", + "iopub.status.busy": "2024-04-30T15:22:47.344582Z", + "iopub.status.idle": "2024-04-30T15:22:48.962900Z", + "shell.execute_reply": "2024-04-30T15:22:48.962396Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# If plots have been generated in a previous run of the Notebook, they will be reused here.\n", "# Set redo_plots = True, if new orbital images should be created regardless of existing files.\n", @@ -320,9 +539,16 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "id": "74ca66d9-79bc-4b9d-bddd-d70bb25dcd2f", - "metadata": {}, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:48.964999Z", + "iopub.status.busy": "2024-04-30T15:22:48.964652Z", + "iopub.status.idle": "2024-04-30T15:22:48.969727Z", + "shell.execute_reply": "2024-04-30T15:22:48.969332Z" + } + }, "outputs": [], "source": [ "mol2 = M(\n", @@ -346,10 +572,54 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "id": "2ad9ad15-5612-42fe-a3f8-b2ba0c51d6e9", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:48.971420Z", + "iopub.status.busy": "2024-04-30T15:22:48.971255Z", + "iopub.status.idle": "2024-04-30T15:22:49.398654Z", + "shell.execute_reply": "2024-04-30T15:22:49.398183Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> Initiating a UHF calculation.\n", + "converged SCF energy = -75.3251000879719 = 0.75481361 2S+1 = 2.0048078\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " wavefunction is stable in the internal stability analysis\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> The calculated SCF solution is converged and stable.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Selected an initial space of 7 electrons and 8 orbitals.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -75.4134819010619 E(CI) = -19.6073402951632 S^2 = 0.7500000\n" + ] + } + ], "source": [ "mf2 = stable_scf(mol2)\n", "sf2 = ASFCI.from_preselection(MP2PairinfoPreselection(mf2))\n", @@ -367,10 +637,34 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "id": "d44fe786-9ccd-42ec-a24f-504b9af1c609", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:49.402640Z", + "iopub.status.busy": "2024-04-30T15:22:49.401410Z", + "iopub.status.idle": "2024-04-30T15:22:49.416830Z", + "shell.execute_reply": "2024-04-30T15:22:49.416396Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 1 0.002 0.005 0.003 0.990 0.065 initial\n", + " 2 0.004 0.006 0.005 0.986 0.089 initial\n", + " 3 0.008 0.006 0.005 0.982 0.111 initial\n", + " 4 0.006 0.992 0.001 0.001 0.054 initial\n", + " 5 0.982 0.006 0.005 0.008 0.111 initial\n", + " 6 0.986 0.005 0.005 0.003 0.087 initial\n", + " 7 0.991 0.004 0.004 0.001 0.061 initial\n", + " 8 0.993 0.006 0.000 0.000 0.044 initial\n", + "\n" + ] + } + ], "source": [ "print_mo_table(orbital_densities=sf2.one_orbital_density(), mo_list=sf2.mo_list.tolist(), selections={\"initial\": sf2.mo_list})" ] @@ -387,10 +681,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "id": "7de8b642-e41b-4a65-b2b7-c7a03470f93e", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:49.420392Z", + "iopub.status.busy": "2024-04-30T15:22:49.419260Z", + "iopub.status.idle": "2024-04-30T15:22:49.445456Z", + "shell.execute_reply": "2024-04-30T15:22:49.445018Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " - Could not determine active space with FALLBACK_MODE='strict'\n" + ] + } + ], "source": [ "FALLBACK_MODE = \"strict\"\n", "\n", @@ -411,10 +720,40 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "id": "6fafc9b7-e54d-4930-b42f-85befce06b57", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:49.448546Z", + "iopub.status.busy": "2024-04-30T15:22:49.447729Z", + "iopub.status.idle": "2024-04-30T15:22:49.471435Z", + "shell.execute_reply": "2024-04-30T15:22:49.470994Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{(3, 3): [MOListInfo(mo_list=[3, 4, 5],\n", + " nel=3,\n", + " minimal=False,\n", + " pairinfo_sum=0.049605184211571146,\n", + " max_increment=0.01161009638630002,\n", + " min_decrement=0.05675525149820802,\n", + " min_entropy=0.11114300331610966,\n", + " min_edge_sum=0.025155391886761906)],\n", + " (5, 5): [MOListInfo(mo_list=[2, 3, 4, 5, 6],\n", + " nel=5,\n", + " minimal=False,\n", + " pairinfo_sum=0.08238531870552537,\n", + " max_increment=0.011971120285746428,\n", + " min_decrement=0.033731576276164014,\n", + " min_entropy=0.08664494471001796,\n", + " min_edge_sum=0.016453630596191718)]}\n" + ] + } + ], "source": [ "pprint(sf2.find_many(keep_minimal=False))" ] @@ -429,10 +768,26 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "id": "24b1384a-7509-455e-b439-de7b10d03366", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:49.474692Z", + "iopub.status.busy": "2024-04-30T15:22:49.473834Z", + "iopub.status.idle": "2024-04-30T15:22:49.497458Z", + "shell.execute_reply": "2024-04-30T15:22:49.497023Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ActiveSpace: 3 electrons in 3 orbitals\n", + " active MO indices: [3, 4, 5]\n" + ] + } + ], "source": [ "FALLBACK_MODE = \"below_threshold\"\n", "\n", @@ -453,10 +808,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "id": "4ca8c414-fa4a-4995-ac7e-404c74c72505", - "metadata": {}, - "outputs": [], + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:49.500584Z", + "iopub.status.busy": "2024-04-30T15:22:49.499766Z", + "iopub.status.idle": "2024-04-30T15:22:49.867737Z", + "shell.execute_reply": "2024-04-30T15:22:49.867253Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "redo_plots = True\n", "\n", @@ -490,7 +863,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.7" + "version": "3.11.9" } }, "nbformat": 4, diff --git a/notebooks/oxygen/oxygen.html b/notebooks/oxygen/oxygen.html index 460a223..d984ff3 100644 --- a/notebooks/oxygen/oxygen.html +++ b/notebooks/oxygen/oxygen.html @@ -4,7 +4,7 @@ - Simple functions for ground and excited states — Active Space Finder 0.0.1.dev1+gc2b82c8 documentation + Simple functions for ground and excited states — Active Space Finder 0.0.1.dev1+gda924f1 documentation @@ -17,7 +17,7 @@ - + @@ -43,7 +43,7 @@
- 0.0.1.dev1+gc2b82c8 + 0.0.1.dev1+gda924f1
@@ -108,7 +108,7 @@

Example: the electronic states of molecular oxygen

Using suitable wrapper functions to choose active spaces of a specific size defined by the user.

-
[ ]:
+
[1]:
 
-
[ ]:
+
[2]:
 
from pathlib import Path
@@ -144,25 +144,129 @@ 

Example: the electronic states of molecular oxygen

There are two variants of the wrapper function to find general active spaces: find_from_mol and find_from_scf. The former accepts a Mole objects containing a molecular definition and performs the entire active space selection, including an SCF calculation. It is usually performed as a UHF calculation even if the molecule does not have any unpaired electrons. Stability analysis is used to help the UHF calculation converge to a broken-symmetry solution, which helps with the initial active space selection. It is also possible to start from a converged RHF or UHF solution directly using find_from_scf, which carries out the same steps as find_from_mol with the exception of the SCF calculation itself.

-
-
[ ]:
+
+
[3]:
 
help(find_from_mol)
 
-
-
[ ]:
+
+
+
+
+
+Help on function find_from_mol in module asf.wrapper:
+
+find_from_mol(mol: pyscf.gto.mole.Mole, max_norb: Optional[int] = None, min_norb: Optional[int] = None, entropy_threshold: float = 0.13862943611198905, max_scf_restarts: int = 5, scf_kwargs: Optional[dict[str, Any]] = None, verbose: bool = True, **kwargs) -> asf.asfbase.ActiveSpace
+    Select an active space with an entropy threshold, starting from a Molecule.
+
+    This function attempts to calculate a stable UHF solution for the Mole object provided.
+    Subsequently, find_from_scf(...) is called to calculate MP2 natural orbitals, and to
+    select an active space from those.
+
+    For more details, please refer to find_from_scf(...).
+
+    Args:
+        mol:                Mole instance containing the molecular data.
+        max_norb:           Maximum number of active orbitals per root.
+        min_norb:           Minimum number of active orbitals per root.
+        entropy_threshold:  Entropy threshold to select a single active space. Among all reasonable
+                            active spaces, a space with the lowest entropy above this threshold and
+                            with maximal pair information sum is selected as the final choice.
+        max_scf_restarts:   Maximal number of times to restart when an unconverged or unstable
+                            solution is found.
+        scf_kwargs:         Dictionary of options to be set for the SCF object.
+                            Note: this function deviates from PySCF defaults for a few settings.
+        stability_analysis: Perform a stability analysis of the SCF solution if True.
+                            Re-start the SCF calculation once of the solution is unstable.
+        verbose:            Print information if set to True.
+        **kwargs:           Keyword arguments to be passed to find_from_scf(...).
+
+    Returns:
+        Active space suggestion as provided by find_from_scf(...).
+
+    Raises:
+        SCFError: SCF calculation failed to converge or is unstable.
+
+
+
+
+
[4]:
 
help(find_from_scf)
 
+
+
+
+
+
+Help on function find_from_scf in module asf.wrapper:
+
+find_from_scf(mf: pyscf.scf.hf.SCF, max_norb: Optional[int] = None, min_norb: Optional[int] = None, entropy_threshold: float = 0.13862943611198905, states: Union[int, list[tuple[int, int]], NoneType] = None, sort_mos: bool = False, mp2_kwargs: Optional[dict[str, Any]] = None, switch_dmrg: int = 12, dmrg_kwargs: Optional[dict[str, Any]] = None, fci_kwargs: Optional[dict[str, Any]] = None, verbose: bool = True, ci_nroots: int = 1) -> asf.asfbase.ActiveSpace
+    Select an active space with an entropy threshold, starting from an SCF calculation.
+
+    The function executes the following steps:
+        1)  Calculate MP2 natural orbitals using the SCF object provided in the input.
+        2)  Select an initial set of MP2 natural orbitals based on their eigenvalues.
+        3)  Perform a DMRGCI or CASCI calculation (depending on the number of active orbitals in
+            the initial space) using the previously determined orbital subset.
+        4)  Among all sensible active spaces, select a solution such that the entropies of all
+            active orbitals are above the entropy threshold, and simultaneously the pair
+            information sum is maximized.
+
+    The output of the function is an ActiveSpace instance that contains:
+        - the number of active electrons,
+        - the list of MP2 natural orbitals selected for the active space,
+        - and the MO coefficient matrix containing all (active and inactive) MP2 natural orbitals.
+
+    The columns representing the inactive orbitals in the MO coefficient matrix are ordered
+    according to the convention of PySCF: occupied MOs to the left and virtual MOs to the right.
+    By default, the original ordering of the MP2 natural orbitals is preserved. This can be
+    changed by setting sort_mos to True: then, the columns of the MO coefficients are reordered
+    such that they can be passed directly to CASCI/CASSCF without any further sorting.
+
+    This function does not provide active spaces for individual excited electronic states.
+    However, it can be used to obtain active space suggestions for state-averaged calculations.
+    If a value is provided for 'states', the function performs active space selections for all spin
+    and electronic states, and returns a representation of the combined active space.
+
+    Args:
+        mf:                 RHF or UHF object containing converged orbitals.
+        max_norb:           Maximum number of active orbitals per root.
+        min_norb:           Minimum number of active orbitals per root.
+        entropy_threshold:  Entropy threshold to select a single active space. Among all reasonable
+                            active spaces, a space with the lowest entropy above this threshold and
+                            with maximal pair information sum is selected as the final choice.
+        states:             Electronic states to construct the active space for.
+                            None (default): Ground state for the same spin as in mf.
+                            Integer n: lowest n electronic states, same spin as in mf.
+                            List of Tuples [(s, n)]: lowest n electronic states for each spin s.
+        sort_mos:           If True, reorder the MO columns as occupied, active, virtual.
+        mp2_kwargs:         Keyword arguments for MP2 orbital selection (see
+                            'MP2NatorbPreselection').
+        switch_dmrg:        Number of orbitals to switch between the regular FCI solver and DMRG.
+        dmrg_kwargs:        Further keyword arguments to be passed to the DMRG fcisolver.
+        fci_kwargs:         Further keyword arguments to be passed to CASCI.fcisolver.
+        verbose:            Print information if set to True.
+        ci_nroots:          Number of CI roots to use in CI/DMRG calculation. When several roots
+                            are requested the CI solver may occasionally converge on the wrong
+                            eigenvector. Use this option to solve for more roots to improve
+                            convergence. This option has no direct consequence for the active space
+                            selection.
+
+    Returns:
+        Active space including MO indices of active orbitals and MO coefficients
+
+
+

We start with a molecule definition of oxygen in its (triplet) ground state.

-
-
[ ]:
+
+
[5]:
 
mol = Mole()
@@ -176,27 +280,99 @@ 

Example: the electronic states of molecular oxygen

+
+
[5]:
+
+
+
+
+<pyscf.gto.mole.Mole at 0x7f093b097dd0>
+
+

All that is required now for an active space selection is one function call:

-
-
[ ]:
+
+
[6]:
 
active_space = find_from_mol(mol)
 
+
+
+
+
+
+
+--------------------------------------------------------------------------------
+Calculating UHF orbitals
+--------------------------------------------------------------------------------
+
+-> Initiating a UHF calculation.
+converged SCF energy = -149.49029917455  <S^2> = 2.0338703  2S+1 = 3.0224958
+<class 'pyscf.scf.uhf.UHF'> wavefunction is stable in the internal stability analysis
+-> The calculated SCF solution is converged and stable.
+
+--------------------------------------------------------------------------------
+Calculating MP2 natural orbitals
+--------------------------------------------------------------------------------
+
+
+-> Selected initial orbital window of 12 electrons in 11 MP2 natural orbitals.
+
+--------------------------------------------------------------------------------
+Running calculation
+--------------------------------------------------------------------------------
+
+spin = 2, number of roots = 1
+total number of roots calculated = 1
+
+CASCI E = -149.643455131932  E(CI) = -47.2494800504790  S^2 = 2.0000000
+
+Orbital selection for state 0:
+
+ MO    w( )    w(↑)    w(↓)    w(⇅)       S  sel
+  2   0.000   0.002   0.001   0.996   0.027
+  3   0.001   0.004   0.003   0.992   0.055
+  4   0.001   0.034   0.002   0.963   0.173    a
+  5   0.001   0.034   0.002   0.963   0.173    a
+  6   0.007   0.012   0.015   0.967   0.180    a
+  7   0.004   0.963   0.004   0.030   0.180    a
+  8   0.004   0.963   0.004   0.030   0.180    a
+  9   0.964   0.017   0.011   0.008   0.192    a
+ 10   0.988   0.009   0.002   0.001   0.072
+ 11   0.988   0.009   0.002   0.001   0.072
+ 12   0.992   0.004   0.004   0.001   0.055
+
+
+--------------------------------------------------------------------------------
+Active space selection finished
+--------------------------------------------------------------------------------
+
+-> Selected an active space of 8 electrons in 6 orbitals.
+
+

The returned object contains the number of active MOs and electrons, the matrix of MO coeffients and a list of active orbital indices referring to the aforementioned matrix.

-
-
[ ]:
+
+
[7]:
 
print(active_space)
 
+
+
+
+
+
+ActiveSpace: 8 electrons in 6 orbitals
+  active MO indices: [4, 5, 6, 7, 8, 9]
+
+

Below, we plot the active orbitals that were found.

-
-
[ ]:
+
+
[8]:
 
pictures_Jmol(
@@ -210,9 +386,16 @@ 

Example: the electronic states of molecular oxygen

+
+
+
+
+../../_images/notebooks_oxygen_oxygen_13_0.png +
+

The selected active space can be used to set up a CASSCF calculation. Note that it is important to use the orbitals returned by the ASF in the object active_space - not the orbitals obtained from SCF or elsewhere!

-
-
[ ]:
+
+
+
+
+
+
+CASSCF energy = -149.570669531984
+CASCI E = -149.570669531984  E(CI) = -21.8747875720197  S^2 = 2.0000000
+
+

A CASSCF calculation converging in a small number of iterations is often a good sign. In general, it is advisable to inspect converged CASSCF orbitals visually in order to verify that they indeed form the expected active space. In our case, that would mean comparing them to the guess orbitals determined by the active space finder.

Here, however, we will employ a simple numerical criterion by performing a singular value decomposition of the overlap matrix between the guess and the converged active orbitals. The following function reports the smallest singular value - if it is close to one, that is a good sign. A value close to zero indicates that an orbital may have rotated out, while intermediate values indicate some degree of mixing.

-
-
[ ]:
+
+
[10]:
 
compare_active_spaces(mc, active_space.mo_coeff, active_space.mo_list)
 
+
+
[10]:
+
+
+
+
+0.9962126627975154
+
+

The functions find_from_mol / find_from_scf can also be employed to find active spaces for state-averaged CASSCF calculations of multiple electronic states. This functionality is relatively simple, determining active spaces for each electronic state in isolation, and then forming the union of the MO sets. States can be specified in one of two ways:

  1. Using states: int. in that case, the active space will be determined for a number states of states with the multiplicity inferred from the Mole or SCF object.

  2. Using states: list[tuple[int, int]]. the first integer in each tuple specifies the number of electrons (spin in PySCF conventions), the second integer the number of electronic states of that spin. In this case, the union is formed over the active spaces for all states of all spin multiplicities requested. Below this will be demonstrated for one triplet and three singlet states of oxygen:

-
-
[ ]:
+
+
[11]:
 
active_space = find_from_mol(mol, states=[(0, 3), (2, 1)])
 
+
+
+
+
+
+
+--------------------------------------------------------------------------------
+Calculating UHF orbitals
+--------------------------------------------------------------------------------
+
+-> Initiating a UHF calculation.
+converged SCF energy = -149.49029917455  <S^2> = 2.0338703  2S+1 = 3.0224958
+<class 'pyscf.scf.uhf.UHF'> wavefunction is stable in the internal stability analysis
+-> The calculated SCF solution is converged and stable.
+
+--------------------------------------------------------------------------------
+Calculating MP2 natural orbitals
+--------------------------------------------------------------------------------
+
+
+-> Selected initial orbital window of 12 electrons in 11 MP2 natural orbitals.
+
+--------------------------------------------------------------------------------
+Running calculation
+--------------------------------------------------------------------------------
+
+spin = 0, number of roots = 3
+total number of roots calculated = 3
+
+
+WARN: Mulitple states found in CASCI solver. First state is used to compute the Fock matrix and natural orbitals in active space.
+
+CASCI state   0  E = -149.599227710433  E(CI) = -47.2052526289797  S^2 = 0.0000000
+CASCI state   1  E = -149.599227710068  E(CI) = -47.2052526286144  S^2 = 0.0000000
+CASCI state   2  E = -149.577342732763  E(CI) = -47.1833676513098  S^2 = 0.0000000
+
+Orbital selection for state 0:
+
+ MO    w( )    w(↑)    w(↓)    w(⇅)       S  sel
+  2   0.000   0.001   0.001   0.997   0.025
+  3   0.001   0.003   0.003   0.994   0.045
+  4   0.021   0.008   0.008   0.964   0.192    a
+  5   0.021   0.008   0.008   0.964   0.192    a
+  6   0.007   0.012   0.012   0.969   0.170    a
+  7   0.067   0.410   0.410   0.114   1.159    a
+  8   0.067   0.410   0.410   0.114   1.159    a
+  9   0.968   0.012   0.012   0.008   0.176    a
+ 10   0.991   0.004   0.004   0.001   0.062
+ 11   0.991   0.004   0.004   0.001   0.062
+ 12   0.993   0.003   0.003   0.001   0.051
+
+
+Orbital selection for state 1:
+
+ MO    w( )    w(↑)    w(↓)    w(⇅)       S  sel
+  2   0.000   0.001   0.001   0.997   0.025
+  3   0.001   0.003   0.003   0.994   0.045
+  4   0.002   0.027   0.027   0.945   0.258    a
+  5   0.002   0.027   0.027   0.945   0.258    a
+  6   0.007   0.012   0.012   0.969   0.170    a
+  7   0.404   0.073   0.073   0.451   1.107    a
+  8   0.404   0.073   0.073   0.451   1.107    a
+  9   0.968   0.012   0.012   0.008   0.176    a
+ 10   0.991   0.004   0.004   0.001   0.063
+ 11   0.991   0.004   0.004   0.001   0.063
+ 12   0.993   0.003   0.003   0.001   0.051
+
+
+Orbital selection for state 2:
+
+ MO    w( )    w(↑)    w(↓)    w(⇅)       S  sel
+  2   0.001   0.002   0.002   0.995   0.040
+  3   0.006   0.003   0.003   0.987   0.083
+  4   0.028   0.006   0.006   0.959   0.204    a
+  5   0.028   0.006   0.006   0.959   0.204    a
+  6   0.008   0.012   0.012   0.969   0.173    a
+  7   0.459   0.008   0.008   0.525   0.771    a
+  8   0.459   0.008   0.008   0.525   0.771    a
+  9   0.968   0.011   0.011   0.009   0.177    a
+ 10   0.991   0.004   0.004   0.001   0.058
+ 11   0.991   0.004   0.004   0.001   0.058
+ 12   0.992   0.003   0.003   0.001   0.052
+
+
+--------------------------------------------------------------------------------
+Running calculation
+--------------------------------------------------------------------------------
+
+spin = 2, number of roots = 1
+total number of roots calculated = 1
+
+CASCI E = -149.643455131954  E(CI) = -47.2494800505006  S^2 = 2.0000000
+
+Orbital selection for state 0:
+
+ MO    w( )    w(↑)    w(↓)    w(⇅)       S  sel
+  2   0.000   0.002   0.001   0.996   0.027
+  3   0.001   0.004   0.003   0.992   0.055
+  4   0.001   0.034   0.002   0.963   0.173    a
+  5   0.001   0.034   0.002   0.963   0.173    a
+  6   0.007   0.012   0.015   0.967   0.180    a
+  7   0.004   0.963   0.004   0.030   0.180    a
+  8   0.004   0.963   0.004   0.030   0.180    a
+  9   0.964   0.017   0.011   0.008   0.192    a
+ 10   0.988   0.009   0.002   0.001   0.072
+ 11   0.988   0.009   0.002   0.001   0.072
+ 12   0.992   0.004   0.004   0.001   0.055
+
+
+--------------------------------------------------------------------------------
+Active space selection finished
+--------------------------------------------------------------------------------
+
+-> Selected an active space of 8 electrons in 6 orbitals.
+
+

The recommended active space is the same as for triplet oxygen; note that the table printed by the wrapper can be inspected for the orbital occupations in each state.

Below, a state-averaged CASSCF calculation is performed with four states: the triplet, the two doubly degenerate lowest singlet states, and the third singlet state.

-
-
[ ]:
+
+
[12]:
 
mc = CASSCF(mol, ncas=active_space.norb, nelecas=active_space.nel)
@@ -269,43 +586,281 @@ 

Example: the electronic states of molecular oxygen

+
+
+
+
+
+CASSCF energy = -149.538540696948
+CASCI E = -149.538540696948  E(CI) = -21.9089593706585  S^2 = 0.5000000
+CASCI state-averaged energy = -149.538540696948
+CASCI energy for each state
+  State 0 weight 0.25  E = -149.570469324468 S^2 = 2.0000000
+  State 1 weight 0.25  E = -149.537342839017 S^2 = 0.0000000
+  State 2 weight 0.25  E = -149.537342839002 S^2 = 0.0000000
+  State 3 weight 0.25  E = -149.509007785306 S^2 = 0.0000000
+
+

The main parameter controlling the size of the selected space is the entropy threshold, controlled via the parameter entropy_threshold of the find_from_mol and find_from_scf functions.

If you know the size of the desired active space and only need to select the correct orbitals, it is possible to do so via the functions sized_space_from_mol and sized_space_from_scf. The only difference between the two functions is that the former performs an SCF calculation, while the latter expects an object with an SCF solution as its input. These wrapper functions currently support only one electronic state at a time.

-
-
[ ]:
+
+
[13]:
 
help(sized_space_from_mol)
 
-
-
[ ]:
+
+
+
+
+
+Help on function sized_space_from_mol in module asf.wrapper:
+
+sized_space_from_mol(mol: pyscf.gto.mole.Mole, size: Union[int, tuple[int, int]], max_scf_restarts: int = 5, scf_kwargs: Optional[dict[str, Any]] = None, verbose: bool = True, **kwargs) -> asf.asfbase.ActiveSpace
+    Select an active space of certain size starting from a molecule.
+
+    This function attempts to calculate a stable UHF solution for the Mole object provided.
+    Subsequently, sized_space_from_scf(...) is called to calculate MP2 natural orbitals, and to
+    select an active space from those.
+
+    For more details, please refer to sized_space_from_scf(...).
+
+    Args:
+        mol:                Mole instance containing the molecular data.
+        size:               Requested number of active orbitals M, or number of active electrons N
+                            and number of active orbitals as a CAS tuple (N, M).
+        max_scf_restarts:   Maximal number of times to restart when an unconverged or unstable
+                            solution is found.
+        scf_kwargs:         Dictionary of options to be set for the SCF object.
+                            Note: this function deviates from PySCF defaults for a few settings.
+        stability_analysis: Perform a stability analysis of the SCF solution if True.
+                            Re-start the SCF calculation once of the solution is unstable.
+        verbose:            Print information if set to True.
+        **kwargs:           Keyword arguments to be passed to sized_space_from_scf(...).
+
+    Returns:
+        Active space suggestion as provided by sized_space_from_scf(...).
+
+    Raises:
+        SCFError: SCF calculation failed to converge or is unstable.
+
+
+
+
+
[14]:
 
help(sized_space_from_scf)
 
+
+
+
+
+
+Help on function sized_space_from_scf in module asf.wrapper:
+
+sized_space_from_scf(mf: pyscf.scf.hf.SCF, size: Union[int, tuple[int, int]], state: Union[int, tuple[int, int], NoneType] = None, sort_mos: bool = False, mp2_kwargs: Optional[dict[str, Any]] = None, switch_dmrg: int = 12, dmrg_kwargs: Optional[dict[str, Any]] = None, fci_kwargs: Optional[dict[str, Any]] = None, verbose: bool = True, ci_nroots: int = 1) -> asf.asfbase.ActiveSpace
+    Select an active space of certain size starting from an SCF calculation.
+
+    The function executes the following steps:
+        1)  Calculate MP2 natural orbitals using the SCF object provided in the input.
+        2)  Select an initial set of MP2 natural orbitals based on their eigenvalues.
+        3)  Perform a DMRGCI or CASCI calculation (depending on the number of active orbitals in
+            the initial space) using the previously determined orbital subset.
+        4)  Select the final active space based on the pair information.
+
+    The output of the function is an ActiveSpace instance that contains:
+        - the number of active electrons,
+        - the list of MP2 natural orbitals selected for the active space,
+        - and the MO coefficient matrix containing all (active and inactive) MP2 natural orbitals.
+
+    The columns representing the inactive orbitals in the MO coefficient matrix are ordered
+    according to the convention of PySCF: occupied MOs to the left and virtual MOs to the right.
+    By default, the original ordering of the MP2 natural orbitals is preserved. This can be
+    changed by setting reorder_mos to True: then, the columns of the MO coefficients are reordered
+    such that they can be passed directly to CASCI/CASSCF without any further sorting.
+
+    This function does not provide active spaces suggestions for state-averaged calculations, but
+    for individual (excited) electronic states only. By default an active space is suggested for
+    the ground state in the same spin configuration as the given SCF calculation. If a value is
+    provided for 'state', the function performs an active space selection for the specific spin and
+    electronic state.
+
+    Args:
+        mf:                 RHF or UHF object containing converged orbitals.
+        size:               Requested number of active orbitals M, or number of active electrons N
+                            and number of active orbitals as a CAS tuple (N, M).
+        state:              Electronic state to construct the active space for.
+                            None (default): Ground state for the same spin as in mf.
+                            Integer n: electronic state n (indexed from 0), same spin as in mf.
+                            Tuple (s, n): electronic state n (indexed from 0) for spin s.
+        sort_mos:           If True, reorder the MO columns as occupied, active, virtual.
+        mp2_kwargs:         Keyword arguments for MP2 orbital selection (see
+                            'MP2NatorbPreselection').
+        switch_dmrg:        Number of orbitals to switch between the regular FCI solver and DMRG.
+        dmrg_kwargs:        Further keyword arguments to be passed to the DMRG fcisolver.
+        fci_kwargs:         Further keyword arguments to be passed to CASCI.fcisolver.
+        verbose:            Print information if set to True.
+        ci_nroots:          Number of CI roots to use in CI/DMRG calculation. When several roots
+                            are requested the CI solver may occasionally converge on the wrong
+                            eigenvector. Use this option to solve for more roots to improve
+                            convergence. This option has no direct consequence for the active space
+                            selection.
+
+    Returns:
+        Active space including MO indices of active orbitals and MO coefficients
+
+
+

It is possible to specify the size of an active space either via the number of orbitals by providing an integer, or by providing both the number of active electrons and orbitals as a tuple (electrons, orbitals). If only the number of orbitals is provided, the number of electrons is determined by the active space finder.

For example, the following function call constrains the number of active orbitals to four and chooses an active space with a suitable number of electrons, resulting in a (6, 4) space:

-
-
[ ]:
+
+
[15]:
 
sized_space_from_mol(mol, size=4)
 
+
+
+
+
+
+
+--------------------------------------------------------------------------------
+Calculating UHF orbitals
+--------------------------------------------------------------------------------
+
+-> Initiating a UHF calculation.
+converged SCF energy = -149.49029917455  <S^2> = 2.0338703  2S+1 = 3.0224958
+<class 'pyscf.scf.uhf.UHF'> wavefunction is stable in the internal stability analysis
+-> The calculated SCF solution is converged and stable.
+
+--------------------------------------------------------------------------------
+Calculating MP2 natural orbitals
+--------------------------------------------------------------------------------
+
+
+-> Selected initial orbital window of 12 electrons in 11 MP2 natural orbitals.
+
+--------------------------------------------------------------------------------
+Running calculation
+--------------------------------------------------------------------------------
+
+spin = 2, requested root = 0
+total number of roots calculated = 1
+
+CASCI E = -149.643455131926  E(CI) = -47.2494800504734  S^2 = 2.0000000
+
+Orbital selection for state 0:
+
+ MO    w( )    w(↑)    w(↓)    w(⇅)       S  sel
+  2   0.000   0.002   0.001   0.996   0.027
+  3   0.001   0.004   0.003   0.992   0.055
+  4   0.001   0.034   0.002   0.963   0.173    a
+  5   0.001   0.034   0.002   0.963   0.173    a
+  6   0.007   0.012   0.015   0.967   0.180
+  7   0.004   0.963   0.004   0.030   0.180    a
+  8   0.004   0.963   0.004   0.030   0.180    a
+  9   0.964   0.017   0.011   0.008   0.192
+ 10   0.988   0.009   0.002   0.001   0.072
+ 11   0.988   0.009   0.002   0.001   0.072
+ 12   0.992   0.004   0.004   0.001   0.055
+
+
+--------------------------------------------------------------------------------
+Active space selection finished
+--------------------------------------------------------------------------------
+
+-> Selected an active space of 6 electrons in 4 orbitals.
+
+
+
+
[15]:
+
+
+
+
+ActiveSpace(nel=6, mo_list=[4, 5, 7, 8], mo_coeff=...)
+
+

Likewise, it is possible to specify six electrons and four orbitals explicitly:

-
-
[ ]:
+
+
[16]:
 
sized_space_from_mol(mol, size=(6, 4))
 
+
+
+
+
+
+
+--------------------------------------------------------------------------------
+Calculating UHF orbitals
+--------------------------------------------------------------------------------
+
+-> Initiating a UHF calculation.
+converged SCF energy = -149.49029917455  <S^2> = 2.0338703  2S+1 = 3.0224958
+<class 'pyscf.scf.uhf.UHF'> wavefunction is stable in the internal stability analysis
+-> The calculated SCF solution is converged and stable.
+
+--------------------------------------------------------------------------------
+Calculating MP2 natural orbitals
+--------------------------------------------------------------------------------
+
+
+-> Selected initial orbital window of 12 electrons in 11 MP2 natural orbitals.
+
+--------------------------------------------------------------------------------
+Running calculation
+--------------------------------------------------------------------------------
+
+spin = 2, requested root = 0
+total number of roots calculated = 1
+
+CASCI E = -149.643455130938  E(CI) = -47.2494800494852  S^2 = 2.0000000
+
+Orbital selection for state 0:
+
+ MO    w( )    w(↑)    w(↓)    w(⇅)       S  sel
+  2   0.000   0.002   0.001   0.996   0.027
+  3   0.001   0.004   0.003   0.992   0.055
+  4   0.001   0.034   0.002   0.963   0.173    a
+  5   0.001   0.034   0.002   0.963   0.173    a
+  6   0.007   0.012   0.015   0.967   0.180
+  7   0.004   0.963   0.004   0.030   0.180    a
+  8   0.004   0.963   0.004   0.030   0.180    a
+  9   0.964   0.017   0.011   0.008   0.192
+ 10   0.988   0.009   0.002   0.001   0.072
+ 11   0.988   0.009   0.002   0.001   0.072
+ 12   0.992   0.004   0.004   0.001   0.055
+
+
+--------------------------------------------------------------------------------
+Active space selection finished
+--------------------------------------------------------------------------------
+
+-> Selected an active space of 6 electrons in 4 orbitals.
+
+
+
+
[16]:
+
+
+
+
+ActiveSpace(nel=6, mo_list=[4, 5, 7, 8], mo_coeff=...)
+
+

Note that the sized_space functions attempt to choose active spaces from a set of sensible suggestions determined internally. In consequence, if the user requests an active space size that is not considered sensible, the function will raise an ActiveSpaceSelectionError exception.

diff --git a/notebooks/oxygen/oxygen.ipynb b/notebooks/oxygen/oxygen.ipynb index f1d893a..e3ca4ed 100644 --- a/notebooks/oxygen/oxygen.ipynb +++ b/notebooks/oxygen/oxygen.ipynb @@ -20,8 +20,15 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 1, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:51.637471Z", + "iopub.status.busy": "2024-04-30T15:22:51.637315Z", + "iopub.status.idle": "2024-04-30T15:22:51.822972Z", + "shell.execute_reply": "2024-04-30T15:22:51.822386Z" + } + }, "outputs": [], "source": [ "# Suppress PySCF warning...\n", @@ -31,8 +38,15 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 2, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:51.825383Z", + "iopub.status.busy": "2024-04-30T15:22:51.825141Z", + "iopub.status.idle": "2024-04-30T15:22:52.079664Z", + "shell.execute_reply": "2024-04-30T15:22:52.079128Z" + } + }, "outputs": [], "source": [ "from pathlib import Path\n", @@ -64,18 +78,136 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 3, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:52.082196Z", + "iopub.status.busy": "2024-04-30T15:22:52.081721Z", + "iopub.status.idle": "2024-04-30T15:22:52.085125Z", + "shell.execute_reply": "2024-04-30T15:22:52.084636Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Help on function find_from_mol in module asf.wrapper:\n", + "\n", + "find_from_mol(mol: pyscf.gto.mole.Mole, max_norb: Optional[int] = None, min_norb: Optional[int] = None, entropy_threshold: float = 0.13862943611198905, max_scf_restarts: int = 5, scf_kwargs: Optional[dict[str, Any]] = None, verbose: bool = True, **kwargs) -> asf.asfbase.ActiveSpace\n", + " Select an active space with an entropy threshold, starting from a Molecule.\n", + " \n", + " This function attempts to calculate a stable UHF solution for the Mole object provided.\n", + " Subsequently, find_from_scf(...) is called to calculate MP2 natural orbitals, and to\n", + " select an active space from those.\n", + " \n", + " For more details, please refer to find_from_scf(...).\n", + " \n", + " Args:\n", + " mol: Mole instance containing the molecular data.\n", + " max_norb: Maximum number of active orbitals per root.\n", + " min_norb: Minimum number of active orbitals per root.\n", + " entropy_threshold: Entropy threshold to select a single active space. Among all reasonable\n", + " active spaces, a space with the lowest entropy above this threshold and\n", + " with maximal pair information sum is selected as the final choice.\n", + " max_scf_restarts: Maximal number of times to restart when an unconverged or unstable\n", + " solution is found.\n", + " scf_kwargs: Dictionary of options to be set for the SCF object.\n", + " Note: this function deviates from PySCF defaults for a few settings.\n", + " stability_analysis: Perform a stability analysis of the SCF solution if True.\n", + " Re-start the SCF calculation once of the solution is unstable.\n", + " verbose: Print information if set to True.\n", + " **kwargs: Keyword arguments to be passed to find_from_scf(...).\n", + " \n", + " Returns:\n", + " Active space suggestion as provided by find_from_scf(...).\n", + " \n", + " Raises:\n", + " SCFError: SCF calculation failed to converge or is unstable.\n", + "\n" + ] + } + ], "source": [ "help(find_from_mol)" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 4, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:52.087043Z", + "iopub.status.busy": "2024-04-30T15:22:52.086680Z", + "iopub.status.idle": "2024-04-30T15:22:52.089852Z", + "shell.execute_reply": "2024-04-30T15:22:52.089366Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Help on function find_from_scf in module asf.wrapper:\n", + "\n", + "find_from_scf(mf: pyscf.scf.hf.SCF, max_norb: Optional[int] = None, min_norb: Optional[int] = None, entropy_threshold: float = 0.13862943611198905, states: Union[int, list[tuple[int, int]], NoneType] = None, sort_mos: bool = False, mp2_kwargs: Optional[dict[str, Any]] = None, switch_dmrg: int = 12, dmrg_kwargs: Optional[dict[str, Any]] = None, fci_kwargs: Optional[dict[str, Any]] = None, verbose: bool = True, ci_nroots: int = 1) -> asf.asfbase.ActiveSpace\n", + " Select an active space with an entropy threshold, starting from an SCF calculation.\n", + " \n", + " The function executes the following steps:\n", + " 1) Calculate MP2 natural orbitals using the SCF object provided in the input.\n", + " 2) Select an initial set of MP2 natural orbitals based on their eigenvalues.\n", + " 3) Perform a DMRGCI or CASCI calculation (depending on the number of active orbitals in\n", + " the initial space) using the previously determined orbital subset.\n", + " 4) Among all sensible active spaces, select a solution such that the entropies of all\n", + " active orbitals are above the entropy threshold, and simultaneously the pair\n", + " information sum is maximized.\n", + " \n", + " The output of the function is an ActiveSpace instance that contains:\n", + " - the number of active electrons,\n", + " - the list of MP2 natural orbitals selected for the active space,\n", + " - and the MO coefficient matrix containing all (active and inactive) MP2 natural orbitals.\n", + " \n", + " The columns representing the inactive orbitals in the MO coefficient matrix are ordered\n", + " according to the convention of PySCF: occupied MOs to the left and virtual MOs to the right.\n", + " By default, the original ordering of the MP2 natural orbitals is preserved. This can be\n", + " changed by setting sort_mos to True: then, the columns of the MO coefficients are reordered\n", + " such that they can be passed directly to CASCI/CASSCF without any further sorting.\n", + " \n", + " This function does not provide active spaces for individual excited electronic states.\n", + " However, it can be used to obtain active space suggestions for state-averaged calculations.\n", + " If a value is provided for 'states', the function performs active space selections for all spin\n", + " and electronic states, and returns a representation of the combined active space.\n", + " \n", + " Args:\n", + " mf: RHF or UHF object containing converged orbitals.\n", + " max_norb: Maximum number of active orbitals per root.\n", + " min_norb: Minimum number of active orbitals per root.\n", + " entropy_threshold: Entropy threshold to select a single active space. Among all reasonable\n", + " active spaces, a space with the lowest entropy above this threshold and\n", + " with maximal pair information sum is selected as the final choice.\n", + " states: Electronic states to construct the active space for.\n", + " None (default): Ground state for the same spin as in mf.\n", + " Integer n: lowest n electronic states, same spin as in mf.\n", + " List of Tuples [(s, n)]: lowest n electronic states for each spin s.\n", + " sort_mos: If True, reorder the MO columns as occupied, active, virtual.\n", + " mp2_kwargs: Keyword arguments for MP2 orbital selection (see\n", + " 'MP2NatorbPreselection').\n", + " switch_dmrg: Number of orbitals to switch between the regular FCI solver and DMRG.\n", + " dmrg_kwargs: Further keyword arguments to be passed to the DMRG fcisolver.\n", + " fci_kwargs: Further keyword arguments to be passed to CASCI.fcisolver.\n", + " verbose: Print information if set to True.\n", + " ci_nroots: Number of CI roots to use in CI/DMRG calculation. When several roots\n", + " are requested the CI solver may occasionally converge on the wrong\n", + " eigenvector. Use this option to solve for more roots to improve\n", + " convergence. This option has no direct consequence for the active space\n", + " selection.\n", + " \n", + " Returns:\n", + " Active space including MO indices of active orbitals and MO coefficients\n", + "\n" + ] + } + ], "source": [ "help(find_from_scf)" ] @@ -89,9 +221,27 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 5, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:52.091809Z", + "iopub.status.busy": "2024-04-30T15:22:52.091413Z", + "iopub.status.idle": "2024-04-30T15:22:52.098722Z", + "shell.execute_reply": "2024-04-30T15:22:52.098320Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "mol = Mole()\n", "mol.atom = \"O2.xyz\"\n", @@ -112,9 +262,106 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 6, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:52.100700Z", + "iopub.status.busy": "2024-04-30T15:22:52.100273Z", + "iopub.status.idle": "2024-04-30T15:22:53.584227Z", + "shell.execute_reply": "2024-04-30T15:22:53.583706Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "--------------------------------------------------------------------------------\n", + "Calculating UHF orbitals\n", + "--------------------------------------------------------------------------------\n", + "\n", + "-> Initiating a UHF calculation.\n", + "converged SCF energy = -149.49029917455 = 2.0338703 2S+1 = 3.0224958\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " wavefunction is stable in the internal stability analysis\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> The calculated SCF solution is converged and stable.\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Calculating MP2 natural orbitals\n", + "--------------------------------------------------------------------------------\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "-> Selected initial orbital window of 12 electrons in 11 MP2 natural orbitals.\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Running calculation\n", + "--------------------------------------------------------------------------------\n", + "\n", + "spin = 2, number of roots = 1\n", + "total number of roots calculated = 1\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -149.643455131932 E(CI) = -47.2494800504790 S^2 = 2.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Orbital selection for state 0:\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 2 0.000 0.002 0.001 0.996 0.027 \n", + " 3 0.001 0.004 0.003 0.992 0.055 \n", + " 4 0.001 0.034 0.002 0.963 0.173 a\n", + " 5 0.001 0.034 0.002 0.963 0.173 a\n", + " 6 0.007 0.012 0.015 0.967 0.180 a\n", + " 7 0.004 0.963 0.004 0.030 0.180 a\n", + " 8 0.004 0.963 0.004 0.030 0.180 a\n", + " 9 0.964 0.017 0.011 0.008 0.192 a\n", + " 10 0.988 0.009 0.002 0.001 0.072 \n", + " 11 0.988 0.009 0.002 0.001 0.072 \n", + " 12 0.992 0.004 0.004 0.001 0.055 \n", + "\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Active space selection finished\n", + "--------------------------------------------------------------------------------\n", + "\n", + "-> Selected an active space of 8 electrons in 6 orbitals.\n" + ] + } + ], "source": [ "active_space = find_from_mol(mol)" ] @@ -128,9 +375,25 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 7, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:53.586624Z", + "iopub.status.busy": "2024-04-30T15:22:53.586312Z", + "iopub.status.idle": "2024-04-30T15:22:53.589187Z", + "shell.execute_reply": "2024-04-30T15:22:53.588735Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ActiveSpace: 8 electrons in 6 orbitals\n", + " active MO indices: [4, 5, 6, 7, 8, 9]\n" + ] + } + ], "source": [ "print(active_space)" ] @@ -144,9 +407,27 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 8, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:53.592070Z", + "iopub.status.busy": "2024-04-30T15:22:53.591229Z", + "iopub.status.idle": "2024-04-30T15:22:54.170224Z", + "shell.execute_reply": "2024-04-30T15:22:54.169654Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "pictures_Jmol(\n", " mol=mol, mo_coeff=active_space.mo_coeff, mo_list=active_space.mo_list, mo_index_title=\" \"\n", @@ -167,9 +448,31 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 9, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:54.172275Z", + "iopub.status.busy": "2024-04-30T15:22:54.171974Z", + "iopub.status.idle": "2024-04-30T15:22:54.398457Z", + "shell.execute_reply": "2024-04-30T15:22:54.397911Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASSCF energy = -149.570669531984\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -149.570669531984 E(CI) = -21.8747875720197 S^2 = 2.0000000\n" + ] + } + ], "source": [ "mc = CASSCF(mol, ncas=active_space.norb, nelecas=active_space.nel)\n", "# Before carrying out the CASSCF calculation, the orbital coefficient matrix columns need to be\n", @@ -190,9 +493,27 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 10, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:54.401800Z", + "iopub.status.busy": "2024-04-30T15:22:54.400971Z", + "iopub.status.idle": "2024-04-30T15:22:54.406723Z", + "shell.execute_reply": "2024-04-30T15:22:54.406289Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9962126627975154" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "compare_active_spaces(mc, active_space.mo_coeff, active_space.mo_list)" ] @@ -210,9 +531,210 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 11, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:22:54.409804Z", + "iopub.status.busy": "2024-04-30T15:22:54.408976Z", + "iopub.status.idle": "2024-04-30T15:23:01.033022Z", + "shell.execute_reply": "2024-04-30T15:23:01.032514Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "--------------------------------------------------------------------------------\n", + "Calculating UHF orbitals\n", + "--------------------------------------------------------------------------------\n", + "\n", + "-> Initiating a UHF calculation.\n", + "converged SCF energy = -149.49029917455 = 2.0338703 2S+1 = 3.0224958\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " wavefunction is stable in the internal stability analysis\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> The calculated SCF solution is converged and stable.\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Calculating MP2 natural orbitals\n", + "--------------------------------------------------------------------------------\n", + "\n", + "\n", + "-> Selected initial orbital window of 12 electrons in 11 MP2 natural orbitals.\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Running calculation\n", + "--------------------------------------------------------------------------------\n", + "\n", + "spin = 0, number of roots = 3\n", + "total number of roots calculated = 3\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "WARN: Mulitple states found in CASCI solver. First state is used to compute the Fock matrix and natural orbitals in active space.\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI state 0 E = -149.599227710433 E(CI) = -47.2052526289797 S^2 = 0.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI state 1 E = -149.599227710068 E(CI) = -47.2052526286144 S^2 = 0.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI state 2 E = -149.577342732763 E(CI) = -47.1833676513098 S^2 = 0.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Orbital selection for state 0:\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 2 0.000 0.001 0.001 0.997 0.025 \n", + " 3 0.001 0.003 0.003 0.994 0.045 \n", + " 4 0.021 0.008 0.008 0.964 0.192 a\n", + " 5 0.021 0.008 0.008 0.964 0.192 a\n", + " 6 0.007 0.012 0.012 0.969 0.170 a\n", + " 7 0.067 0.410 0.410 0.114 1.159 a\n", + " 8 0.067 0.410 0.410 0.114 1.159 a\n", + " 9 0.968 0.012 0.012 0.008 0.176 a\n", + " 10 0.991 0.004 0.004 0.001 0.062 \n", + " 11 0.991 0.004 0.004 0.001 0.062 \n", + " 12 0.993 0.003 0.003 0.001 0.051 \n", + "\n", + "\n", + "Orbital selection for state 1:\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 2 0.000 0.001 0.001 0.997 0.025 \n", + " 3 0.001 0.003 0.003 0.994 0.045 \n", + " 4 0.002 0.027 0.027 0.945 0.258 a\n", + " 5 0.002 0.027 0.027 0.945 0.258 a\n", + " 6 0.007 0.012 0.012 0.969 0.170 a\n", + " 7 0.404 0.073 0.073 0.451 1.107 a\n", + " 8 0.404 0.073 0.073 0.451 1.107 a\n", + " 9 0.968 0.012 0.012 0.008 0.176 a\n", + " 10 0.991 0.004 0.004 0.001 0.063 \n", + " 11 0.991 0.004 0.004 0.001 0.063 \n", + " 12 0.993 0.003 0.003 0.001 0.051 \n", + "\n", + "\n", + "Orbital selection for state 2:\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 2 0.001 0.002 0.002 0.995 0.040 \n", + " 3 0.006 0.003 0.003 0.987 0.083 \n", + " 4 0.028 0.006 0.006 0.959 0.204 a\n", + " 5 0.028 0.006 0.006 0.959 0.204 a\n", + " 6 0.008 0.012 0.012 0.969 0.173 a\n", + " 7 0.459 0.008 0.008 0.525 0.771 a\n", + " 8 0.459 0.008 0.008 0.525 0.771 a\n", + " 9 0.968 0.011 0.011 0.009 0.177 a\n", + " 10 0.991 0.004 0.004 0.001 0.058 \n", + " 11 0.991 0.004 0.004 0.001 0.058 \n", + " 12 0.992 0.003 0.003 0.001 0.052 \n", + "\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Running calculation\n", + "--------------------------------------------------------------------------------\n", + "\n", + "spin = 2, number of roots = 1\n", + "total number of roots calculated = 1\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -149.643455131954 E(CI) = -47.2494800505006 S^2 = 2.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Orbital selection for state 0:\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 2 0.000 0.002 0.001 0.996 0.027 \n", + " 3 0.001 0.004 0.003 0.992 0.055 \n", + " 4 0.001 0.034 0.002 0.963 0.173 a\n", + " 5 0.001 0.034 0.002 0.963 0.173 a\n", + " 6 0.007 0.012 0.015 0.967 0.180 a\n", + " 7 0.004 0.963 0.004 0.030 0.180 a\n", + " 8 0.004 0.963 0.004 0.030 0.180 a\n", + " 9 0.964 0.017 0.011 0.008 0.192 a\n", + " 10 0.988 0.009 0.002 0.001 0.072 \n", + " 11 0.988 0.009 0.002 0.001 0.072 \n", + " 12 0.992 0.004 0.004 0.001 0.055 \n", + "\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Active space selection finished\n", + "--------------------------------------------------------------------------------\n", + "\n", + "-> Selected an active space of 8 electrons in 6 orbitals.\n" + ] + } + ], "source": [ "active_space = find_from_mol(mol, states=[(0, 3), (2, 1)])" ] @@ -228,9 +750,73 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 12, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:01.036609Z", + "iopub.status.busy": "2024-04-30T15:23:01.035591Z", + "iopub.status.idle": "2024-04-30T15:23:01.846499Z", + "shell.execute_reply": "2024-04-30T15:23:01.846002Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASSCF energy = -149.538540696948\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -149.538540696948 E(CI) = -21.9089593706585 S^2 = 0.5000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI state-averaged energy = -149.538540696948\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI energy for each state\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " State 0 weight 0.25 E = -149.570469324468 S^2 = 2.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " State 1 weight 0.25 E = -149.537342839017 S^2 = 0.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " State 2 weight 0.25 E = -149.537342839002 S^2 = 0.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " State 3 weight 0.25 E = -149.509007785306 S^2 = 0.0000000\n" + ] + } + ], "source": [ "mc = CASSCF(mol, ncas=active_space.norb, nelecas=active_space.nel)\n", "# The solvers for each spin need to be set up individually.\n", @@ -258,18 +844,129 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 13, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:01.849878Z", + "iopub.status.busy": "2024-04-30T15:23:01.849028Z", + "iopub.status.idle": "2024-04-30T15:23:01.853957Z", + "shell.execute_reply": "2024-04-30T15:23:01.853515Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Help on function sized_space_from_mol in module asf.wrapper:\n", + "\n", + "sized_space_from_mol(mol: pyscf.gto.mole.Mole, size: Union[int, tuple[int, int]], max_scf_restarts: int = 5, scf_kwargs: Optional[dict[str, Any]] = None, verbose: bool = True, **kwargs) -> asf.asfbase.ActiveSpace\n", + " Select an active space of certain size starting from a molecule.\n", + " \n", + " This function attempts to calculate a stable UHF solution for the Mole object provided.\n", + " Subsequently, sized_space_from_scf(...) is called to calculate MP2 natural orbitals, and to\n", + " select an active space from those.\n", + " \n", + " For more details, please refer to sized_space_from_scf(...).\n", + " \n", + " Args:\n", + " mol: Mole instance containing the molecular data.\n", + " size: Requested number of active orbitals M, or number of active electrons N\n", + " and number of active orbitals as a CAS tuple (N, M).\n", + " max_scf_restarts: Maximal number of times to restart when an unconverged or unstable\n", + " solution is found.\n", + " scf_kwargs: Dictionary of options to be set for the SCF object.\n", + " Note: this function deviates from PySCF defaults for a few settings.\n", + " stability_analysis: Perform a stability analysis of the SCF solution if True.\n", + " Re-start the SCF calculation once of the solution is unstable.\n", + " verbose: Print information if set to True.\n", + " **kwargs: Keyword arguments to be passed to sized_space_from_scf(...).\n", + " \n", + " Returns:\n", + " Active space suggestion as provided by sized_space_from_scf(...).\n", + " \n", + " Raises:\n", + " SCFError: SCF calculation failed to converge or is unstable.\n", + "\n" + ] + } + ], "source": [ "help(sized_space_from_mol)" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 14, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:01.857158Z", + "iopub.status.busy": "2024-04-30T15:23:01.856321Z", + "iopub.status.idle": "2024-04-30T15:23:01.861208Z", + "shell.execute_reply": "2024-04-30T15:23:01.860769Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Help on function sized_space_from_scf in module asf.wrapper:\n", + "\n", + "sized_space_from_scf(mf: pyscf.scf.hf.SCF, size: Union[int, tuple[int, int]], state: Union[int, tuple[int, int], NoneType] = None, sort_mos: bool = False, mp2_kwargs: Optional[dict[str, Any]] = None, switch_dmrg: int = 12, dmrg_kwargs: Optional[dict[str, Any]] = None, fci_kwargs: Optional[dict[str, Any]] = None, verbose: bool = True, ci_nroots: int = 1) -> asf.asfbase.ActiveSpace\n", + " Select an active space of certain size starting from an SCF calculation.\n", + " \n", + " The function executes the following steps:\n", + " 1) Calculate MP2 natural orbitals using the SCF object provided in the input.\n", + " 2) Select an initial set of MP2 natural orbitals based on their eigenvalues.\n", + " 3) Perform a DMRGCI or CASCI calculation (depending on the number of active orbitals in\n", + " the initial space) using the previously determined orbital subset.\n", + " 4) Select the final active space based on the pair information.\n", + " \n", + " The output of the function is an ActiveSpace instance that contains:\n", + " - the number of active electrons,\n", + " - the list of MP2 natural orbitals selected for the active space,\n", + " - and the MO coefficient matrix containing all (active and inactive) MP2 natural orbitals.\n", + " \n", + " The columns representing the inactive orbitals in the MO coefficient matrix are ordered\n", + " according to the convention of PySCF: occupied MOs to the left and virtual MOs to the right.\n", + " By default, the original ordering of the MP2 natural orbitals is preserved. This can be\n", + " changed by setting reorder_mos to True: then, the columns of the MO coefficients are reordered\n", + " such that they can be passed directly to CASCI/CASSCF without any further sorting.\n", + " \n", + " This function does not provide active spaces suggestions for state-averaged calculations, but\n", + " for individual (excited) electronic states only. By default an active space is suggested for\n", + " the ground state in the same spin configuration as the given SCF calculation. If a value is\n", + " provided for 'state', the function performs an active space selection for the specific spin and\n", + " electronic state.\n", + " \n", + " Args:\n", + " mf: RHF or UHF object containing converged orbitals.\n", + " size: Requested number of active orbitals M, or number of active electrons N\n", + " and number of active orbitals as a CAS tuple (N, M).\n", + " state: Electronic state to construct the active space for.\n", + " None (default): Ground state for the same spin as in mf.\n", + " Integer n: electronic state n (indexed from 0), same spin as in mf.\n", + " Tuple (s, n): electronic state n (indexed from 0) for spin s.\n", + " sort_mos: If True, reorder the MO columns as occupied, active, virtual.\n", + " mp2_kwargs: Keyword arguments for MP2 orbital selection (see\n", + " 'MP2NatorbPreselection').\n", + " switch_dmrg: Number of orbitals to switch between the regular FCI solver and DMRG.\n", + " dmrg_kwargs: Further keyword arguments to be passed to the DMRG fcisolver.\n", + " fci_kwargs: Further keyword arguments to be passed to CASCI.fcisolver.\n", + " verbose: Print information if set to True.\n", + " ci_nroots: Number of CI roots to use in CI/DMRG calculation. When several roots\n", + " are requested the CI solver may occasionally converge on the wrong\n", + " eigenvector. Use this option to solve for more roots to improve\n", + " convergence. This option has no direct consequence for the active space\n", + " selection.\n", + " \n", + " Returns:\n", + " Active space including MO indices of active orbitals and MO coefficients\n", + "\n" + ] + } + ], "source": [ "help(sized_space_from_scf)" ] @@ -285,9 +982,116 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 15, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:01.864333Z", + "iopub.status.busy": "2024-04-30T15:23:01.863514Z", + "iopub.status.idle": "2024-04-30T15:23:03.329817Z", + "shell.execute_reply": "2024-04-30T15:23:03.329309Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "--------------------------------------------------------------------------------\n", + "Calculating UHF orbitals\n", + "--------------------------------------------------------------------------------\n", + "\n", + "-> Initiating a UHF calculation.\n", + "converged SCF energy = -149.49029917455 = 2.0338703 2S+1 = 3.0224958\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " wavefunction is stable in the internal stability analysis\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> The calculated SCF solution is converged and stable.\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Calculating MP2 natural orbitals\n", + "--------------------------------------------------------------------------------\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "-> Selected initial orbital window of 12 electrons in 11 MP2 natural orbitals.\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Running calculation\n", + "--------------------------------------------------------------------------------\n", + "\n", + "spin = 2, requested root = 0\n", + "total number of roots calculated = 1\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -149.643455131926 E(CI) = -47.2494800504734 S^2 = 2.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Orbital selection for state 0:\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 2 0.000 0.002 0.001 0.996 0.027 \n", + " 3 0.001 0.004 0.003 0.992 0.055 \n", + " 4 0.001 0.034 0.002 0.963 0.173 a\n", + " 5 0.001 0.034 0.002 0.963 0.173 a\n", + " 6 0.007 0.012 0.015 0.967 0.180 \n", + " 7 0.004 0.963 0.004 0.030 0.180 a\n", + " 8 0.004 0.963 0.004 0.030 0.180 a\n", + " 9 0.964 0.017 0.011 0.008 0.192 \n", + " 10 0.988 0.009 0.002 0.001 0.072 \n", + " 11 0.988 0.009 0.002 0.001 0.072 \n", + " 12 0.992 0.004 0.004 0.001 0.055 \n", + "\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Active space selection finished\n", + "--------------------------------------------------------------------------------\n", + "\n", + "-> Selected an active space of 6 electrons in 4 orbitals.\n" + ] + }, + { + "data": { + "text/plain": [ + "ActiveSpace(nel=6, mo_list=[4, 5, 7, 8], mo_coeff=...)" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "sized_space_from_mol(mol, size=4)" ] @@ -301,9 +1105,116 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 16, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:03.333303Z", + "iopub.status.busy": "2024-04-30T15:23:03.332432Z", + "iopub.status.idle": "2024-04-30T15:23:04.736919Z", + "shell.execute_reply": "2024-04-30T15:23:04.736396Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "--------------------------------------------------------------------------------\n", + "Calculating UHF orbitals\n", + "--------------------------------------------------------------------------------\n", + "\n", + "-> Initiating a UHF calculation.\n", + "converged SCF energy = -149.49029917455 = 2.0338703 2S+1 = 3.0224958\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " wavefunction is stable in the internal stability analysis\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> The calculated SCF solution is converged and stable.\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Calculating MP2 natural orbitals\n", + "--------------------------------------------------------------------------------\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "-> Selected initial orbital window of 12 electrons in 11 MP2 natural orbitals.\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Running calculation\n", + "--------------------------------------------------------------------------------\n", + "\n", + "spin = 2, requested root = 0\n", + "total number of roots calculated = 1\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -149.643455130938 E(CI) = -47.2494800494852 S^2 = 2.0000000\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Orbital selection for state 0:\n", + "\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO w( ) w(↑) w(↓) w(⇅) S sel\n", + " 2 0.000 0.002 0.001 0.996 0.027 \n", + " 3 0.001 0.004 0.003 0.992 0.055 \n", + " 4 0.001 0.034 0.002 0.963 0.173 a\n", + " 5 0.001 0.034 0.002 0.963 0.173 a\n", + " 6 0.007 0.012 0.015 0.967 0.180 \n", + " 7 0.004 0.963 0.004 0.030 0.180 a\n", + " 8 0.004 0.963 0.004 0.030 0.180 a\n", + " 9 0.964 0.017 0.011 0.008 0.192 \n", + " 10 0.988 0.009 0.002 0.001 0.072 \n", + " 11 0.988 0.009 0.002 0.001 0.072 \n", + " 12 0.992 0.004 0.004 0.001 0.055 \n", + "\n", + "\n", + "--------------------------------------------------------------------------------\n", + "Active space selection finished\n", + "--------------------------------------------------------------------------------\n", + "\n", + "-> Selected an active space of 6 electrons in 4 orbitals.\n" + ] + }, + { + "data": { + "text/plain": [ + "ActiveSpace(nel=6, mo_list=[4, 5, 7, 8], mo_coeff=...)" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "sized_space_from_mol(mol, size=(6, 4))" ] @@ -332,7 +1243,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.7" + "version": "3.11.9" } }, "nbformat": 4, diff --git a/notebooks/pbenzyne/pbenzyne.html b/notebooks/pbenzyne/pbenzyne.html index ccc4e29..b152f8f 100644 --- a/notebooks/pbenzyne/pbenzyne.html +++ b/notebooks/pbenzyne/pbenzyne.html @@ -4,7 +4,7 @@ - Suggest multiple active spaces — Active Space Finder 0.0.1.dev1+gc2b82c8 documentation + Suggest multiple active spaces — Active Space Finder 0.0.1.dev1+gda924f1 documentation @@ -17,7 +17,7 @@ - + @@ -43,7 +43,7 @@
- 0.0.1.dev1+gc2b82c8 + 0.0.1.dev1+gda924f1
@@ -108,7 +108,7 @@

Suggest multiple active spaces

Example: the para-benzyne diradical

-
[ ]:
+
[1]:
 
# Suppress PySCF warning...
@@ -118,7 +118,7 @@ 

Example: the para-benzyne diradical -
[ ]:
+
[2]:
 
from pathlib import Path
@@ -136,7 +136,7 @@ 

Example: the para-benzyne diradical

In the ASF package, molecular systems are represented as PySCF Mole objects. The first step is therefore to initialize the example molecule as follows:

-
[ ]:
+
[3]:
 
mol = Mole(
@@ -153,14 +153,25 @@ 

1. Define the molecule as a PySCF object

2. Perform a UHF calculation

This is intentional even for singlet states, as a broken-symmetry solution helps with active space selection. The function stable_scf incorporates checks for convergence and stability of the solution. SCF calculations are restarted if an unconverged or unstable solution is encountered. The stability analysis often helps with nudging the orbitals towards a broken-symmetry solution, but it does not always work out.

-
-
[ ]:
+
+
[4]:
 
mf = stable_scf(mol)
 
+
+
+
+
+
+-> Initiating a UHF calculation.
+converged SCF energy = -229.093693646044  <S^2> = 2.3863578e-10  2S+1 = 1
+<class 'pyscf.scf.uhf.UHF'> wavefunction is stable in the internal stability analysis
+-> The calculated SCF solution is converged and stable.
+
+

Side note: the ASF package contains wrapper that perfom some of the steps outlined below (semi-)automatically in one function:

Custom preselection approaches may be implemented by deriving from asf.asfbase.Preselection.

-
-
[ ]:
+
+
[5]:
 

4. Run multi-reference single point calculation

ASFCI / ASFDMRG are two important low-level interface classes for the functionality of the ASF to perform single-point calculations. Here, a DMRG calculation is set up using the initial active space previously determined.

5. Find active spaces

@@ -238,7 +266,7 @@

5. Find active spaces

This interactive example focuses on the usage of find_many(). See other tutorials for how find_one_sized or find_one_entropy can be employed. Internally, find_many() first determines a large number of candidate spaces (via unfiltered_pairinfo_spaces()) and then applies up to three selection criteria to select spaces most likely to converge to a reasonable solution.

Molecular orbital visualization

@@ -289,8 +331,8 @@

Molecular orbital visualizationpictures_Jmol has run, there should be several images named mo_[index].png in the current directory. The function show_mos_grid from the utility module arranges the orbital images in a grid. The MO index lists seen in the previous step can also be passed to only show the MOs of the active space of interest. Note: MO indices in Jmol are indexed from one, not from zero. Thus, the annotation from Jmol is disabled and show_mos_grid annotates each orbital image with the MO index that is consistent with the ASF (0-indexed).

-

Pairinfo

The ASF package also provides methods to visualize pair information which is a key metric in the active space search. Below, draw_pair_information() is employed to plot a graph of the pair information from the DMRG calculation. Note that the sign of the cumulant is inverted, so that the most energy-lowering interactions correspond to the largest pair information. In the resulting graph plot, the molecular orbitals are represented as nodes and the pair information as edges. Edges corresponding to energy-lowering interactions are colored red, while energy-raising interactions are shown in blue (cf. ‘seismic’ color map). By default the color of the nodes indicates the summed pair information per orbital using a sequential color map (‘RdPu’), however any per-orbital-quantity, such as single-orbital entropies, can be passed instead via the orbital_info argument.

-
diff --git a/notebooks/pbenzyne/pbenzyne.ipynb b/notebooks/pbenzyne/pbenzyne.ipynb index 3ad74bd..5bebbb4 100644 --- a/notebooks/pbenzyne/pbenzyne.ipynb +++ b/notebooks/pbenzyne/pbenzyne.ipynb @@ -11,8 +11,15 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 1, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:06.359090Z", + "iopub.status.busy": "2024-04-30T15:23:06.358932Z", + "iopub.status.idle": "2024-04-30T15:23:06.552742Z", + "shell.execute_reply": "2024-04-30T15:23:06.552163Z" + } + }, "outputs": [], "source": [ "# Suppress PySCF warning...\n", @@ -22,8 +29,15 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 2, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:06.555217Z", + "iopub.status.busy": "2024-04-30T15:23:06.554959Z", + "iopub.status.idle": "2024-04-30T15:23:06.919258Z", + "shell.execute_reply": "2024-04-30T15:23:06.918664Z" + } + }, "outputs": [], "source": [ "from pathlib import Path\n", @@ -47,8 +61,15 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 3, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:06.921933Z", + "iopub.status.busy": "2024-04-30T15:23:06.921324Z", + "iopub.status.idle": "2024-04-30T15:23:06.927274Z", + "shell.execute_reply": "2024-04-30T15:23:06.926786Z" + } + }, "outputs": [], "source": [ "mol = Mole(\n", @@ -71,9 +92,45 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 4, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:06.929301Z", + "iopub.status.busy": "2024-04-30T15:23:06.928913Z", + "iopub.status.idle": "2024-04-30T15:23:08.690251Z", + "shell.execute_reply": "2024-04-30T15:23:08.689672Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> Initiating a UHF calculation.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "converged SCF energy = -229.093693646044 = 2.3863578e-10 2S+1 = 1\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " wavefunction is stable in the internal stability analysis\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-> The calculated SCF solution is converged and stable.\n" + ] + } + ], "source": [ "mf = stable_scf(mol)" ] @@ -108,9 +165,25 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 5, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:08.694056Z", + "iopub.status.busy": "2024-04-30T15:23:08.693154Z", + "iopub.status.idle": "2024-04-30T15:23:14.893867Z", + "shell.execute_reply": "2024-04-30T15:23:14.893340Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ActiveSpace: 20 electrons in 18 orbitals\n", + " active MO indices: [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27]\n" + ] + } + ], "source": [ "# If set to True, determine the initial active space using pair information derived from\n", "# Moller-Plesset theory (more complicated procedure).\n", @@ -138,8 +211,15 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 6, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:14.897098Z", + "iopub.status.busy": "2024-04-30T15:23:14.896238Z", + "iopub.status.idle": "2024-04-30T15:23:14.900207Z", + "shell.execute_reply": "2024-04-30T15:23:14.899767Z" + } + }, "outputs": [], "source": [ "sf = ASFDMRG(\n", @@ -160,9 +240,24 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 7, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:23:14.903419Z", + "iopub.status.busy": "2024-04-30T15:23:14.902587Z", + "iopub.status.idle": "2024-04-30T15:24:34.969530Z", + "shell.execute_reply": "2024-04-30T15:24:34.969069Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CASCI E = -229.378728980730 E(CI) = -65.3065648982403 S^2 = 0.0000000\n" + ] + } + ], "source": [ "sf.calculate()" ] @@ -187,8 +282,15 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 8, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:24:34.971914Z", + "iopub.status.busy": "2024-04-30T15:24:34.971560Z", + "iopub.status.idle": "2024-04-30T15:24:36.537122Z", + "shell.execute_reply": "2024-04-30T15:24:36.536610Z" + } + }, "outputs": [], "source": [ "active_spaces = sf.find_many()" @@ -230,9 +332,30 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 9, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:24:36.539591Z", + "iopub.status.busy": "2024-04-30T15:24:36.539253Z", + "iopub.status.idle": "2024-04-30T15:24:36.542574Z", + "shell.execute_reply": "2024-04-30T15:24:36.542101Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(2, 2): [19, 20]\n", + "(4, 4): [18, 19, 20, 21]\n", + "(6, 6): [17, 18, 19, 20, 21, 22]\n", + "(8, 8): [15, 17, 18, 19, 20, 21, 22, 24]\n", + "(10, 9): [14, 15, 17, 18, 19, 20, 21, 22, 24]\n", + "(12, 12): [14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25]\n", + "(14, 14): [13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]\n" + ] + } + ], "source": [ "for nel, nmo in active_spaces.keys():\n", " for mo_info in active_spaces[(nel, nmo)]:\n", @@ -256,9 +379,27 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 10, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:24:36.544642Z", + "iopub.status.busy": "2024-04-30T15:24:36.544326Z", + "iopub.status.idle": "2024-04-30T15:24:37.568985Z", + "shell.execute_reply": "2024-04-30T15:24:37.568335Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# If plots have been generated in a previous run of the Notebook, they will be reused here.\n", "# Set redo_plots = True, if new orbital images should be created regardless of existing files.\n", @@ -288,9 +429,52 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 11, + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-30T15:24:37.571113Z", + "iopub.status.busy": "2024-04-30T15:24:37.570779Z", + "iopub.status.idle": "2024-04-30T15:24:37.824137Z", + "shell.execute_reply": "2024-04-30T15:24:37.823614Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " MO orb. value\n", + " 10 0.0089\n", + " 11 0.0106\n", + " 12 0.0191\n", + " 13 0.0257\n", + " 14 0.0466\n", + " 15 0.0833\n", + " 16 0.0504\n", + " 17 0.1997\n", + " 18 0.1953\n", + " 19 0.9945\n", + " 20 0.9991\n", + " 21 0.1907\n", + " 22 0.2170\n", + " 23 0.0411\n", + " 24 0.0765\n", + " 25 0.0400\n", + " 26 0.0284\n", + " 27 0.0256\n" + ] + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "pairinfo = -sf.diagonal_cumulant(full_space=False)\n", "draw_pair_information(pair_info=pairinfo, orbital_labels=sf.mo_list)" @@ -313,7 +497,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.7" + "version": "3.11.9" } }, "nbformat": 4, diff --git a/objects.inv b/objects.inv index 7739682f15d01d3399cbb574d757d3f964a2f3d3..52028a8e16640f1cfa327345c2f9911be3c05c28 100644 GIT binary patch delta 18 ZcmaE$`9O0*Fnda(rIAUR;l`*o5dcKH2Au!^ delta 18 ZcmaE$`9O0*Fnh95l7&&S#m1;M5dcJf2A%)_ diff --git a/py-modindex.html b/py-modindex.html index 646d86e..59d5afd 100644 --- a/py-modindex.html +++ b/py-modindex.html @@ -3,7 +3,7 @@ - Python Module Index — Active Space Finder 0.0.1.dev1+gc2b82c8 documentation + Python Module Index — Active Space Finder 0.0.1.dev1+gda924f1 documentation @@ -15,7 +15,7 @@ - + @@ -40,7 +40,7 @@
- 0.0.1.dev1+gc2b82c8 + 0.0.1.dev1+gda924f1
diff --git a/search.html b/search.html index 3ca268a..df528f4 100644 --- a/search.html +++ b/search.html @@ -3,7 +3,7 @@ - Search — Active Space Finder 0.0.1.dev1+gc2b82c8 documentation + Search — Active Space Finder 0.0.1.dev1+gda924f1 documentation @@ -16,7 +16,7 @@ - + @@ -40,7 +40,7 @@
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diff --git a/searchindex.js b/searchindex.js index 02b38c1..1794828 100644 --- a/searchindex.js +++ b/searchindex.js @@ -1 +1 @@ -Search.setIndex({"alltitles": {"1. Define the molecule as a PySCF object": [[7, "1.-Define-the-molecule-as-a-PySCF-object"]], "1.1. Setting up the molecular system": [[5, "1.1.-Setting-up-the-molecular-system"]], "1.2. Initializing the ASF class": [[5, "1.2.-Initializing-the-ASF-class"]], "1.3. Searching for multiple spaces": [[5, "1.3.-Searching-for-multiple-spaces"]], "1.4. Searching for a single active space": [[5, "1.4.-Searching-for-a-single-active-space"]], "1.5. Visualizing the results": [[5, "1.5.-Visualizing-the-results"]], "2. Perform a UHF calculation": [[7, "2.-Perform-a-UHF-calculation"]], "2.1. Setting up the molecular system": [[5, "2.1.-Setting-up-the-molecular-system"]], "2.2. Initializing the ASF class": [[5, "2.2.-Initializing-the-ASF-class"]], "2.3. Searching for a single active space": [[5, "2.3.-Searching-for-a-single-active-space"]], "2.4. Visualizing the results": [[5, "2.4.-Visualizing-the-results"]], "3. Determine an initial active space": [[7, "3.-Determine-an-initial-active-space"]], "4. Run multi-reference single point calculation": [[7, "4.-Run-multi-reference-single-point-calculation"]], "5. Find active spaces": [[7, "5.-Find-active-spaces"]], "6. 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Define the molecule as a PySCF object": [[7, "1.-Define-the-molecule-as-a-PySCF-object"]], "1.1. Setting up the molecular system": [[5, "1.1.-Setting-up-the-molecular-system"]], "1.2. Initializing the ASF class": [[5, "1.2.-Initializing-the-ASF-class"]], "1.3. Searching for multiple spaces": [[5, "1.3.-Searching-for-multiple-spaces"]], "1.4. Searching for a single active space": [[5, "1.4.-Searching-for-a-single-active-space"]], "1.5. Visualizing the results": [[5, "1.5.-Visualizing-the-results"]], "2. Perform a UHF calculation": [[7, "2.-Perform-a-UHF-calculation"]], "2.1. Setting up the molecular system": [[5, "2.1.-Setting-up-the-molecular-system"]], "2.2. Initializing the ASF class": [[5, "2.2.-Initializing-the-ASF-class"]], "2.3. Searching for a single active space": [[5, "2.3.-Searching-for-a-single-active-space"]], "2.4. Visualizing the results": [[5, "2.4.-Visualizing-the-results"]], "3. Determine an initial active space": [[7, "3.-Determine-an-initial-active-space"]], "4. 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