{ "cells": [ { "cell_type": "markdown", "id": "bbe10cfb", "metadata": {}, "source": [ "# 1. Single Point Calculation\n", "\n", "Quantum dynamics requires a potential that computes the energy and forces.\n", "\n", "PySCIVR supports the following potentials (see [pyscivr.potentials](https://tsumura-m.github.io/PySCIVR/pyscivr.potentials.html) for details):\n", "\n", "- `ASEPotential`: a wrapper of [ASE](https://docs.ase-lib.org/) calculators for PySCIVR. Any quantum chemistry program supported by ASE, as well as neural network potentials such as MACE, can be used.\n", "\n", "- `DFTPotential`: DFT energies and forces computed by [PySCF](https://pyscf.org/).\n", "\n", "- `ZeroPotential`: returns zero for any geometry. Used for calculations that do not require the potential energy, such as pure rotation.\n", "\n", "- `H2SplinePotential`: an analytical potential of H2 obtained by cubic spline interpolation of a CCSD(T)/aug-cc-pV5Z scan (0.4–1.5 Å, 0.02 Å spacing).\n", "\n", "Examples for some of them are shown below." ] }, { "cell_type": "markdown", "id": "32b2fd7d", "metadata": {}, "source": [ "## H2SplinePotential\n", "\n", "No additional setup is required.\n", "\n", "As in [ASE](https://docs.ase-lib.org/), PySCIVR uses Å for length and eV for energy\n", "(see [pyscivr.units](https://tsumura-m.github.io/PySCIVR/pyscivr.units.html) for details).\n", "\n", "Note that the input geometry is given in Å, and the output energy and forces are in eV and eV/Å, respectively." ] }, { "cell_type": "code", "execution_count": 1, "id": "255db5a7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from pyscivr.potentials import H2SplinePotential\n", "\n", "pot_h2 = H2SplinePotential()\n", "\n", "ener_list = []\n", "r_list = np.linspace(0.4, 1.5, 12)\n", "\n", "for r in r_list:\n", " posi = np.array([[0.0, 0.0, 0.0], [0.0, 0.0, r]])\n", " ener, forces = pot_h2.energy_forces(posi)\n", " ener_list.append(ener)\n", "\n", "plt.xlabel(\"Bond length (Å)\")\n", "plt.ylabel(\"Energy (eV)\")\n", "plt.title(\"H2 Potential (CCSD(T)/aug-cc-pV5Z + Cubic Spline)\")\n", "plt.plot(r_list, ener_list)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b7db4755", "metadata": {}, "source": [ "Batches of geometries are also supported.\n", "`ASEPotential` and `DFTPotential` also accept batches, but the geometries are evaluated sequentially inside." ] }, { "cell_type": "code", "execution_count": 2, "id": "57a44334", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "posi_list = np.array([[[0.0, 0.0, 0.0], [0.0, 0.0, r]] for r in r_list])\n", "ener_list_batch_spline, _ = pot_h2.energy_forces(posi_list)\n", "\n", "plt.xlabel(\"Bond length (Å)\")\n", "plt.ylabel(\"Energy (eV)\")\n", "plt.title(\"H2 Potential (CCSD(T)/aug-cc-pV5Z + Cubic Spline)\")\n", "plt.plot(r_list, ener_list_batch_spline)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "64dcb8de", "metadata": {}, "source": [ "The following examples (`ASEPotential` with MACE-ANI-CC and ORCA, and `DFTPotential`) require additional\n", "packages or external programs. They are not needed in the other tutorials, which run without any additional setup,\n", "so these examples can be skipped." ] }, { "cell_type": "markdown", "id": "353a12e9", "metadata": {}, "source": [ "## ASEPotential with MACE-ANI-CC\n", "\n", "Here, the MACE-ANI-CC neural network potential is used.\n", "ASE and the MACE-related packages are required, which can be installed by\n", "\n", "```bash\n", "uv sync --extra ase\n", "```\n", "\n", "The MACE model is loaded onto the CPU here.\n", "\n", "Note that MACE-ANI-CC is trained for organic molecules and is not suitable for the dissociation of H2.\n", "It is used here only to demonstrate the usage.\n", "\n", "Reference:\n", "\n", "D. P. Kovács, I. Batatia, E. S. Arany, and G. Csányi, \"Evaluation of the MACE force field architecture: From medicinal chemistry to materials science,\" J. Chem. Phys. **159**, 044118 (2023)." ] }, { "cell_type": "code", "execution_count": 3, "id": "0ef9ecbb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cuequivariance or cuequivariance_torch is not available. Cuequivariance acceleration will be disabled.\n", "Using ANI couple cluster model for MACECalculator, see https://doi.org/10.1063/5.0155322\n" ] }, { "data": { "image/png": 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MhJqmHgF1OLup3gIAANgh1DSRbscm4NuZliulZZamehsAAHAMoaaJtG0ZIsEBvmZI996MvKZ6GwAAcAyhpon4+fpI1zj61QAA4Cz+4oYWLVokX3zxhdkeN26cjBw5ssLxvXv3yty5c2Xfvn1SVlYmb731lrhrv5rfDmRJUkq2nHNKgqtvBwAAj+aWNTWdO3eWwYMHy2+//SZbtmypcGzHjh3Sp08f2bNnj/Tr18+c564Y1g0AgJfX1Jx22mnm8dVXX1U69vDDD8vEiRNlxowZ4u5YrRsAAC8PNTX5+uuv5ZVXXpH77rtP/P39ZcKECXLSSSdVeW5hYaF5WGVlZblkWPeOlBwpK7OIr6+PU98fAABv4vRQM3/+fFm7dm2Vx+6++245+eSTa3x9SkqKPPHEE3LFFVfI4cOHZeDAgfLjjz9Kt27dKp07ffp0mTZtmrhKx5hQCfDzkbyiUjmYVSBtW4S47F4AAPB0Tg81Xbt2leLi4iqPRUVF1fr6uLg4mTp1qlx11VXm+YEDB2T58uVy7733Vjr3/vvvN+fa19S0b99enCXAz1c6x4bJH4dzzCR8hBoAADwo1Jx55pnm0VBDhgyRtLQ02/PU1FQJDy9v5jleUFCQebiSNkFpqNEmqGEnxrv0XgAA8GRu2afmyy+/lIULF8r69eslOTnZjIB66KGHpGPHjvLggw/K2WefbToRa/NTRkaG6Vfj3p2FD5lQAwAAvCzUJCQkmKHa9sO1w8LCzNeePXuakKPz2Ghz1YgRI1xeG1MTFrYEAMCLQ80pp5xiHjWFHmufGnfXLeGvhS0tFov4+DACCgAAr5l8z5NoR2EdyZ1VUCKpOX8NLwcAAI5FqGliQf5+0jGmvOlsx2H61QAA0FQINU6chC+JzsIAADQZQo1TQ022M94OAACvRKhxAha2BACg6RFqnKCbmaumfA0oAADQNAg1TtA1vryjcFpOkRzJLXLGWwIA4HUINU4QGuhvW/dpRyq1NQAANAVCjdMn4SPUAADQFAg1TpIYxwgoAACaEqHGyTU1dBYGAKBpEGqculo3oQYAgKZCqHHyBHwHMwsku6DYWW8LAIDXINQ4SVRIgMRHBJltmqAAAHA8Qo0T0a8GAICmQ6hxImYWBgCg6RBqnKgrq3UDANBkCDVOxMKWAAA0HUKNC0LN3iN5kl9U6sy3BgDA4xFqnCgmPEhahgaIxSKSzBpQAAA4FKHGRZ2FCTUAADgWocbJElnYEgCAJkGocVG/mqSUbGe/NQAAHo1Q46LlEpJScpz91gAAeDRCjYv61PyZnidFJWXOfnsAADwWocbJEiKDJCLIX0rLLLI7PdfZbw8AgMci1DiZj4/PXzMLH6YJCgAARyHUuAAzCwMA4HiEGheu1s0IKAAAHIdQ48IRUDsYAQUAgMMQalw4AmpnWq6UlDICCgAARyDUuEDbFiESHOBrhnTvPZLvilsAAMDjEGpcUei+PtI1zjoCipmFAQBwBEKNq0dAsVo3AAAOQahxkW4J5f1qdjBXDQAADkGocRHWgAIAwLEINW4wrLuszOKq2wAAwGMQalykY3SoBPj5SH5xqRzIZAQUAAAeGWoyMjJk9+7d5pGVlVXpuMVikZSUFMnPb75hwN/PV7rEWmcWZg0oAAA8MtS8+OKLMmzYMOnRo4e8/fbbFY6tWrVK2rZtK7169ZLY2Fi5/vrrpbS0VJp1ExSdhQEA8MxQM23aNFNLc+mll1Y69sgjj8hDDz0khw4dkr1798onn3wiGzdulOaI5RIAAHAcf2lmBgwYID///LNs27ZNdu7cKcHBwdKlSxdpjljYEgCAZhxq0tPTJTu76ll0W7VqZUJKTe6++24ZNWqULFu2THJzc+XZZ5+VuLi4Ks8tLCw0D6uq+ue4y7Bu7Sfk4+Pj6lsCAKDZcnqoee655+T999+v8tjChQvljDPOqPH1o0ePlqlTp8pNN91kmqAGDRpk+tcMHTq00rnTp083TVnuqnNsmPj6iGQXlEhqdqHER9Yc6AAAgBv1qXn66adtI5uOf9QWaLQ249dff5WLLrrIVrOjzVGbN2+u8vz7779fMjMzbQ/tg+NOgvz9pFNMmNlmBBQAAB7YUVibpzTkaPOSdXh3UVGRaZ4ZOHCgPProo7J161ZZsWKFrF692tTWVCUoKEgiIyMrPNyNrQmKhS0BAPC8ULN8+XIzpPunn36Sd955x2xv377d1kSlYefyyy+X559/Xl599VVTW9NcsVwCAAAePPrp73//u3lUpVOnTrJo0SLxFNYRULpcAgAA8LCaGm/SLf7Yat2EGgAAGoVQ42Jd4so7CqfnFklGbpGrbwcAgGaLUONioYH+0q5liNmmtgYAgIYj1LiBbrZJ+KqelBAAANSOUONWw7rpLAwAQEMRatyos3ByKqEGAICGItS4gcRjw7qpqQEAoOEINW7U/HQoq0CyCopdfTsAADRLhBo3EBkcIAmRQWY7mflqAABoEEKNm/WrYWFLAAAahlDjZk1QzFUDAEDDEGrcBKt1AwDQOIQaN5uAbwfDugEAaBBCjZvollDep2bfkXzJKypx9e0AANDsEGrcRHRYoHlYLCI7U3NdfTsAADQ7hBo3QmdhAAAajlDjRljYEgCAhiPUuBEWtgQAoOEINW44AR8joAAAqD9CjRvpdmxhyz/T86SwpNTVtwMAQLNCqHEj8RFBEhHsL6VlFtmdlufq2wEAoFkh1LgRHx+fv/rVpGS7+nYAAGhWCDXuOrMwq3UDAFAvhBo3w2rdAAA0DKHGXSfgO5zj6lsBAKBZIdS4aajZlZYrJaVlrr4dAACaDUKNm2nbIkRCAvykqLRM9mQwAgoAgLoi1LgZX18f6RofZraT6CwMAECdEWrceWZhQg0AAHVGqHFDrNYNAED9EWrcEKt1AwBQf4QaN66pSU7JlbIyi6tvBwCAZoFQ44Y6RIdKoJ+v5BeXyv6j+a6+HQAAmgVCjRvy9/OVLnHlI6DoLAwAQN0QatxUVxa2BACgXgg1boqFLQEAqB9CjZtiYUsAAOqHUNMMFra0WBgBBQBAbQg1bqpTbKj4+fpIdmGJpGQXuvp2AABwe/7ihvLz8+Xtt9+WX3/9Vbp37y433HCDhISE2I5/+OGHsnLlSmnTpo1MmTJFoqOjxdME+ftJx5hQ2ZmaK0mHcyQhMtjVtwQAgFtzy5qas88+W7Zt2yZ9+/aVDz74QC699FLbsXfeeccEmR49esjWrVvloosuEk+VGFfeBJWUku3qWwEAwPNqarZs2SKff/657Nq1y/T16NKli4wYMcKEDEdZunSpqYVRGmhat24thYWFEhQUJC+88IK89NJLctlll8nkyZOlc+fOsn79ehk8eLB4mm4J4bJq62HmqgEAwJE1NatWrZJBgwbJhAkTZPv27RIfHy+tWrUy27pPj2mTkCNYA436+eef5aSTTjKBRmntzOmnn15+876+5n01aFVFg1BWVlaFR3PCCCgAAJqgpkabgbTp58QTT6zyuIabZ599Vs4999warzNnzhz58ssvqzx2//33mz40VsnJyXL77bfLggULbH1tNKiEh5c3y6iIiAg5evRoldebPn26TJs2TZorVusGAKAJQs1bb71V43ENOxpYaqOhxVrrcryYmBjbtvapueSSS8z7WpuWtLOwBprU1FQTZlRKSooMGzas2pA0depU23OtqWnfvr00F13jwsXHRyQjt0jScwolJrzqcgMAAPXsU/Pwww/Ltddea/qxNJQGlNr6v+ioJ+1LM3fuXBk6dGiFY0OGDDGjn+69915JS0uTtWvXyosvvljldTQ8VRegmoOQQD9p1zJE9mbkm341hBoAABw0+unAgQPSp08fMzrp3XffNc1BTWHUqFESFhYmb7zxhumvo48jR47YgtVTTz0l559/vvTr10/+9re/mc7Knop+NQAANEFNjTYF6cgjrSnRpiYdfXTllVfKddddJwMHDhRH+de//iWlpaUV9llrXLSW5/fff5dvv/3WdCi2dhr2VNqv5ottKYyAAgCgFj6WRszBr8O6582bJ/Pnzzd9XaobheQutE9NVFSUZGZmSmRkpDQHH2zcK/d+uFnOTIyVd28Y5OrbAQDAbT+/fRv7JvoGubm5prkITbdaNxPwAQBQs3qHmvT0dHn55Zfl1FNPNcO3/f395euvv5bvv/++vpdCHXQ9FmoOZxVKVkExZQYAgCP61IwdO1Y+++wzM4PwI488IhdeeKEJNWg6kcEB0ioyWA5lFZh+Nad2aElxAwBQhXolktNOO01eeeUVM5swnLtcggk1hwk1AAA4pPnp7rvvtgUanRVY12Gy0vWX0LQzC9OvBgAAcWxHYZ0nRmfrveuuuyrU4qBpsFwCAAC1a1CHmFmzZsnGjRulbdu2DXk56okJ+AAAaKKamry8PImOjrY91/WXYmNjG3Ip1GNY974j+ZJXVEKZAQDgqFCjC0h+9NFHZluXStCmqJEjRzbkUqiDlmGBEhMWaLaTU3IpMwAAHBVqZs+ebdZl8vHxkRYtWsju3btl5syZDbkU6tuvJjWbMgMAwFF9arQvzZo1a8xMwrrKgi6RgKYf1v39rgxJOpxDUQMA0JiaGu0cXFBQUGGfLo1gDTR6TM9B00iMsw7rJtQAANComhqtlTnllFNk6NChZvi2deTT/v37Zd26dfLNN9/ITTfdVNfLoZ66JUSYr8mEGgAAGr9Kt456WrZsmZl4T1foVp07d5bhw4fLmDFjJDQ0VNxZc1yl2yolq0AGPvW5+PqI/P74eRLk7+fqWwIAwK0+v+vVp0ZDy4QJE8wDzhUXESSRwf6SVVAiu9Jy5aRWzSuUAQDglqOf4Hw60oyZhQEAqB6hpjnOLMwIKAAAKiHUNLNh3WoHnYUBAKiEUNOMdGW1bgAAHBtq1q5d25CXwUFrQGlH4ZLSMsoTAIDGhpq77rpLTj31VJk7d26lCfnQdNpEhUhooJ8Ul1rkz4w8ihoAgMaGmo0bN8qbb75pJt07+eST5YEHHpB9+/Y15FKoB19fH+lqnVmYzsIAADimT02/fv3MopY6Ed+nn35qJuEbN26c7Nixo6GXRD2aoJJTWS4BAACHhBrtV3P11VfLWWedJRdccIEkJyfLueeeax5oOonHRkAlHWa1bgAAGr1Kt64BpdMV33bbbTJnzhwJDAw0+6+55hp56qmnGnJJ1BELWwIA4MBQ8+6775qOwsfz9fWVpKSkhlwS9V3YMjVHysospp8NAABoYKjRhaW++uqrCvu05uaEE06QsLAwyrUJtW8ZIoH+vlJQXCb7j+ZL+2j3XkQUAAC3DjUPPvigfPfdd9KnTx/z/OeffzbbBw4ckPnz59Ovpgn5+/lKl9gw2XYoW5JSsgk1AAA0pqNwp06d5IMPPpBNmzaZx/vvvy/du3c3w7zvvvvuhlwS9WBd2JJh3QAANDLUfPzxx3L++efbnuvop//85z8yatQo+eOPPxpySTRgYUvWgAIAoJGhJjExUV599VWxWCzm8corr5j+NEFBQVJcXNyQS6IBC1smsbAlAACNCzXz5s2TRYsWSWRkpERERMjixYvNPqVhB85pftKaGg2VAACggR2Fe/ToYfrSZGZmio+Pjwk3VjfffDPl2sQ6xYSJn6+P5BSWyOGsQmkVFUyZAwC8XoNqaqwhRodx2wcaOIcO6e4UUz6UW0dAAQCABjY/6Uinbdu2UX4uxAgoAAAc0PzUu3dvufDCC2XChAmmT43VP/7xj4ZcDg0cAbXyt8Oyg4UtAQBoeKgJDw+X0aNHS25urnnAdSOgdhxmtW4AABocap5//nlKz12an+hTAwBAw/vUFBUVycyZM2XixIm2fa+99po4UllZmezbt09KSkrqdcxbdI0LFx8fkSN5xZKeU+jq2wEAoHmGmttuu80M6dZ1nqxuueUWh93U66+/Lq1atZLTTjtNWrduLR9++GGdjnmT4AA/ad/SOgKKJigAABoUapYtWyYvv/yy7bmjJ4DTWpjt27fL3r175Y033pDrrrvO1M7UdszbdLM1QRFqAABoUKjx8/MzD6udO3dK27ZtHVaajz/+uLRs2dJsDxo0yCy9YA0uNR3z2pmFDzNXDQAADeooPGbMGNOnRm3cuFHuueceueKKK+r02kOHDsnRo0erPNahQwcJDS1vUrF66KGHTNOWv3/lW63pmCosLDQPq6ysLPHIUMOwbgAAGhZqZsyYIQ8//LB069ZNrrrqKrn44ovliSeeqNNrZ8+eLUuWLKny2Ny5c01fGSsNSxpEtB/N8Wo6ZjV9+nSZNm2aeKpuCeVzBCUxrBsAAPGxuOGKiHpLt99+u6SmppqFM+1rYmo6Vpeamvbt25s1qzxheYfsgmLp+egqs/3LI6MkKiTA1bcEAIDD6ee3Ls1U2+e3f0OHdK9YsUKSk5OltLTUtv/BBx8UR5g0aZL89ttvpiPwjh07zL7ExEQTYGo6drygoCDz8FQRwQHSOipYDmYWmBW7+3Us72sEAIA3alCoGTdunOkbM2LEiAodhh1lw4YNpoZl7Nixtn1ff/21JCQk1HjMG2m/mvJQk02oAQB4tQaFmtWrV8uePXtso5Ac7ZdffmnQMW9dA2ptUhr9agAAXq9BQ7p79eolaWlpXl947oARUAAANHKVbh3xNH78eAkODrbtZ5Vu1y1syQgoAIC3a1Co0blkLrzwwmrnm4HzJMaVh5r9R/Mlt7BEwoIa9CMFAKDZY5XuZq5lWKDEhgdKWk6RJKfmSK92LVx9SwAAuH+fmhtuuMG2/cILL1Q4dtFFFznurtCwfjWsAQUA8GL1CjVz5syxbd91110Vjn3yySeOuyvUewSUYmFLAIA3a9DoJ7hnTQ2dhQEA3oxQ4wG6HQs12qcGAABvVe+OwhMnTqxyG66TeGxY95/puVJQXCrBAY6f5RkAAI8KNbrqdVXbVT2H88SFB0lksL9kFZTIrrRcObl181+sEwCAJg019913X73fAE3Px8dHuiVEyI9/HjEjoAg1AABvRJ8aD+tXwwgoAIC3ItR43Fw12a6+FQAAXIJQ4yGYgA8A4O0INR5C+9Qo7ShcXFrm6tsBAMDpCDUeok1UsIQF+klxqUX+TM9z9e0AAOB0hBoPGgHVlX41AAAvRqjxIPSrAQB4M0KNB2FhSwCANyPUeBAWtgQAeDNCjYcubFlaZnH17QAA4FSEGg/SPjpUAv19pbCkTPYfyXf17QAA4FSEGg/i5+sjXeOsyyUwszAAwLsQajwMI6AAAN6KUONhWNgSAOCtCDUehlADAPBWhBoPbX5KTskRi4URUAAA70Go8TAdY8LE39dHcgpL5FBWgatvBwAApyHUeBgd0t0pNsxsJx3OcfXtAADgNIQaD5RoG9ZNqAEAeA9CjQfqllAeanYQagAAXoRQ49Fz1TABHwDAexBqPHlhS0ZAAQC8CKHGA+lSCT4+IkfziiU9t8jVtwMAgFMQajxQcICfdIgONduMgAIAeAtCjYfPLEy/GgCAtyDUeKiutlDDsG4AgHcg1HiobvER5itz1QAAvAWhxkOxsCUAwNu4ZajJzc2VGTNmyMSJE+W5556TnJzKTSiHDh2SK664Qv7zn/+45B6bS/NTanahZOYVu/p2AADwzlBz9tlnm9AyfPhw+eyzz+SSSy6pdM5tt90m27dvNw9UFh7kL22igs32jlQm4QMAeD5/cUMff/yxxMXFme0LLrhA4uPjpbCwUIKCgsy++fPnywknnCAREeX9RlC1xIQIOZBZYIZ19+sYTTEBADyaW9bUWAON2rBhg/To0cMWaPbv3y9vvvmmPProo7VeR4NQVlZWhYc3YWFLAIA3cXpNzWuvvSZr1qyp8tgjjzwiPXv2tD3XpqUpU6bI4sWLbftuueUWmTlzpi3k1GT69Okybdo08VYsbAkA8CZODzUDBgyQ2NjYKo8lJCTYtrds2SJjxoyRBQsWSL9+/cy+9evXy7p16+SZZ54xzzdu3CibNm2SyMhImTRpUqXr3X///TJ16lTbc62pad++vXjfBHzMVQMA8HxODzUaUKwhpToaVC6//HJZuHChDB482La/a9eu8uqrr9qep6enS4cOHUxQqorW5tSlRsfTF7bcfzRfcgtLJCzILbtQAQDgEG75KXfeeeeZfjXPP/+8bd8bb7xh9o0dO7ZCh2Ltb9O3b18X3al7axEaKLHhQZKWUyjJqTnSq10LV98SAADeFWpef/11KS0trbAvJCSk0nm33367aXpCzU1QGmp0BBShBgDgydwy1IwePbpO5/Xv37/J78UTOguv25nOcgkAAI/nlkO64fh+NazWDQDwdIQarwk1jIACAHg2Qo2XrNa9JyNPCoor9lMCAMCTEGo8XGx4oESFBEiZRWRnaq6rbwcAgCZDqPFwPj4+f03Cl0oTFADAcxFqvGm5hMOs1g0A8FyEGi+QeKxfTRKdhQEAHoxQ4wUYAQUA8AaEGi9g7VOzKy1XikvLXH07AAA0CUKNF2gdFSxhgX5SUmaRP9MZAQUA8EyEGi8ZAUUTFADA0xFqvKyz8OqtKWKxWFx9OwAAOByhxktc2reN+PiILN20T+Z9t9vVtwMAgMMRarzEkG5xct95J5ntxz/eKp//ftjVtwQAgEMRarzIpKFd5KqB7c2SCZPf+0m2Hshy9S0BAOAwhBov6zD82CU95IzEGMkrKpXr5/8gh7MKXH1bAAA4BKHGywT4+cor4/uZ0VAHMwtMsMkrKnH1bQEA0GiEGi+kq3bPnThAYsICZcv+LJny/s9Sqm1SAAA0Y4QaL9U+OlTe+Hs/CfT3ldVbD8vT//3d1bcEAECjEGq8WL+O0fLc2F5m+821u2Th93+6+pYAAGgwQo2Xu6RPW5l6zglm++F//yZrk1JdfUsAADQIoQYy+exEGdO3relXc+u7myTpcDalAgBodgg1MEO9p1/WUwZ2ipbswhK5dt4PkppdSMkAAJoVQg2MIH8/ef3qftIpJlT2HcmXSQs2SkFxKaUDAGg2CDWwaRkWKG9PHGCGfP+056j8Y8kvUsZQbwBAM0GoQQVd4sJNjU2An498vPmg/Gv1H5QQAKBZINSgksFdYuSp0T3N9qwvd8iHP+6jlAAAbo9Qgypd3r+93Da8q9m+f9lmWb8znZICALg1Qg2qdfc5J8qFvVpLcalFblrwo+xMzaG0AABui1CD6n85fH1kxuW9pU/7FpKZXyzXzftBjuQWUWIAALdEqEGNggP85M2/95e2LUJkd3qeqbEpLGGoNwDA/RBqUKu4iCCZe+0AiQjylw27M+T+Zb+KxcKq3gAA90KoQZ2ckBAhs8efKn6+PrJs036Z9cUOSg4A4FYINaizoSfEyWOXdDfbM1b/IR/9coDSAwC4DUIN6mX8oI5yw5mdzbbOOPzjn0coQQCAWyDUoN7uv+BkGXlyghSVlMmkdzbK3ow8ShEA4HKEGtSb9qt56ao+0r1NpKTnFplVvXXINwAArkSoQYOEBvrLnGsGSKvIYNmRkiO3LdwkxaVllCYAwGXcNtQUFxfLjh07pKCgoMrjaWlpsnnzZvn555+dfm8o1yoqWOZM7C+hgX7yvx1p8vC/tzDUGwDgMm4Zal588UVp3bq1nH/++dKmTRtZtGhRhbBz7bXXSseOHWX8+PEyceJEl96rt+veJkpevqqv+PqIvLdhr7y5dqerbwkA4KXcMtTk5OTI7t27JSkpSRYsWCA33XSTlJaWz2I7e/Zs+fXXX2Xfvn3mKzU1rjfi5AR58MJTzPb0/26Tz7YccvUtAQC8kFuGmgceeEDCw8PNdu/evU2gsc5g++abb8pDDz1kgs+hQ3x4uotrz+gkVw/uKPpjunPxT/LrvkxX3xIAwMv4WJw83/3evXslPT29ymOJiYm2MGN19dVXS9u2beXpp582z0NCQmT06NHy3XffSVZWlpxxxhmybNkyCQgIqHS9wsJC87DS89u3by+ZmZkSGRnp8O/N25WUlsn18zfK13+kSnxEkKy47Qxp0yLE1bcFAGjm9PM7Kiqq1s9vf6felYjMnTvXhJCqvP766zJo0CCzrVnrjjvuMF+ffPJJ2zmBgYEm5GjzVF5enpx++ummz80111xT6XrTp0+XadOmNeF3A3v+fr4y6299Zeyr62T74WyzqveHt5wu4UFO/zUDAHghp9fU1EVZWZlMmjTJjHyaP3+++Pn52Y7169fPND9deuml5vn1118vXbt2lf/7v/+rdB1qalxj35E8uXT2d5KWUyjDT4wzq3xr4AEAwKNqaupCRzTpcO5Zs2aZzsCqe/fupolJw47WwOg3l5KSYmp9Vq5cWeV1goKCzAPO1a5lqLx1TX+58vV18uX2VHnik9/l0YvL14wCAMCramq0Ccq+L4xatWqVxMfHm+aoGTNmyPLly02wufXWW+Wiiy5yaNKDY3z660G5deEmsz3t4u5yzemdKFoAQL3V9fPbLUNNUyHUON+rXyXLM59tM/PY6AzEw0+Kd8FdAAC84fObjg5oUjef1UWu6N9Oyiwity/aJL8fzKLEAQBNglCDJuXj4yNPXNpTTusSI7lFpXL9vB8kJavqpS8AAGgMQg2aXKC/r7w2oZ90iQuTA5kFcsM7GyWvqISSBwA4FKEGThEVGiBzJw6QlqEBsnlfpty1+Gcp0zYpAAAchFADp+kYEyZv/L2/BPr5ysrfDsszK7dR+gAAhyHUwKkGdIqWZ8f2Mtuvf71T3tuwh58AAMAhCDVwukv7tpU7R3Yz2w+t2CL/S0rjpwAAaDRCDVxiyohuckmfNlJSZpFbFv4oO1Ky+UkAABqFUAOXDfV+5rJe0r9jS8kuKJFr5/0g6TkVZ5EGAKA+CDVwmeAAP3n96n7SITpU9mbky6QFP0pBcSk/EQBAgxBq4FIx4UHy9sQBEhnsLz/+eUTu+XCzWd8LAID6ItTA5RLjw83kfP6+PvKfXw7IVW+uNwEHAID6INTALZyeGGuGeuscNut3Zshlr34nN8z/QbYdYq0oAEDdsEo33Mr+o/ny4po/5MMf95lFMH18RC7u3UbuGnmCdIoNc/XtAQDceJVuQg3cUnJqjvxr1R/yya8HzXNtmrpiQHu54+xu0ioq2NW3BwBwIkJNIwoF7mPL/kx5ftV2+Wp7qnke5O8r15zeSW4+q6tEhwW6+vYAAE5AqGlEocD9bNiVIc+t3CY/7C7vQBwe5C83Duki1w/pbLYBAJ6LUNOIQoF70qHeX/2RKs99tl22HizvQKy1NbcO6yoTBnc0894AADwPoaYRhQL3VlZmkU+3HDR9bnam5Zp9raOC5Y4R3eTyfu3E349BfQDgSQg1jSgUNA8lpWWydNM+eXFNkhzILDD7OseGyV3nnCAX9Wwtvr4+rr5FAIADEGoaUShoXnRphYXf75HZX+6QjNwis+/k1pFyz7knyPAT4806UwCA5otQ04hCQfOUU1gib/9vl7z5zU7JLiwx+3TBzHvOPVEGdYlx9e0BABqIUNOIQkHzdiS3SF77JlnmfbtbCkvKzL6hJ8TJPaNOlJ7tolx9ewCAeiLUNKJQ4BkOZxXIy18kyfsb9kqJTk8sIhf0bCVTzznRrDcFAGgeCDWNKBR4lj/Tc+WFNUmy4uf9oguAa//hy05tJ1NGdpN2LUNdfXsAgFoQahpRKPBM2w9ly4xV22XV1sPmuS6e+bdBHeS24YkSFxHk6tsDAFSDUNOIQoFn+2nPEXlu5Xb5LjndPA8N9JPrzugsNw7tIlEhAa6+PQDAcQg1VSDUwN63O9Lk2ZXb5Ze9R83zyGB/uXlYV7n29M4SEsjsxADgLgg1jSgUeNfSC6u3HjaLZv5xOMfs06aoyWcnyrgBHSTQn9mJAcDVCDWNKBR4n9Iyi3z0y3751+o/ZG9GvtnXrmWI3DXyBLm0b1vxY3ZiAHAZQk0jCgXeq6ikTBZv3Csvf54kKdmFZl+3+HC5e9SJcm73BGYnBgAXINQ0olCA/KJSmb9ut7z6VbJk5hebAundLkruOfckObNbLAUEwOsUlpTK0bxiOZJXZJakOZJbvq0Tnh6x23/14I4y8pQEh743oaYRhQJYaaB5a+1OmfO/XZJXVGr2ndYlRi7u00YGd4mRTjGh1N4AaLYBJcMEkvKAkpFXJEdzi8zX44OKnqtL0dTF/eefJDed1dWh90uoaUShAMdLyymUV75MlnfX/ylFpeVLL6hWkcFyWtcYE3Q05LSPDiHkAHB6QLGvNcnIOxZIbIFF9xXLUVsNS5HkHvsjrb60e2HL0EBpERog0WGBZts8wgIlOixAWoQGSt/2LaRbQoRDv0dCTSMKBajO/qP58sEPe2XdznT5ec/RCgFHtW0RYsLN4C7RJuwwYzGAuo7EzC8uNbXDWfkl5qv1kWW3fcQusJTXoDQ8oPj5+kiLkIDyQGIfVExYCTBhRZ9rUCkPMAESGRwgvi4YOEGoaUShAHXtd7NpzxFZl5wu6zXk7D1qW2PKSmtuBneOKa/N6RojraNCKFzAQ5WVWSS7oESyCoqrDSXlx0ps+7Ps9heXVvz/o74BpeWxIFJec3Jsu8rAUr4vItjfJQGlIQg1jSgUoCHyikpk4+4jJuBoTc7mfZlmqLg97YOjNTkacPRrQmQwhQ242QhI+1BiCx228FEimXn2AeWv49mFJWZ9ucbQcKIzm+sjUh/B/hWeRx/X1GN9HhHUfAJKQxBqGlEogCNop7qNuzNMwFmfnC6/7s+U4zKOdIkNk8F2fXJYgwpoOP0jIudYTYnWmGRbvxZan5eU147YH7N9La890SagxgoO8C0PIcEBFQJJha/HhRXrti7b4uPjueGkoQg1jSgUoCnof54/aMhJLq/J+e1AVqW/6hLjw03A0ZqcQZ2jJSachTbhRYGksGLIKK/9sHtud8w+lGgfFP3a0L4lVdGaj7+CyF8BxBZWQv/aPv68IH+WWXG0Zh1q9KZnzZolv/76q3Tv3l3uuOMO881Yv7GXXnpJNm/eLC1atJDrrrtOBg8eXKfrEmrgTvSvwg27ykOONln9fqhyyDkxIcLWVKUhR6uZAXduujl6rCOrtROrdViwfRCpVJNSUFLn4cJ1ocubaE1IhAaOY1+1/0hEhe3yr/bHraFFnzOLuHtp1qFm0KBBMmrUKOnRo4fMmzdPcnNz5ZtvvjHHrrrqKsnIyJAbb7xRkpOT5YknnpDffvtNOnToUOt1CTVwZ/oBsH5nhgk4+th2KLvCca2RPqlV5LGmqmgZ1DnG/LUINFVH+PKRNnaTrB2/bTdMuD7zmNQ1kNiCSNCxABJSfSCxP5+aEs/TrEPNkSNHpGXLlmY7LS1N4uLipKCgQIKCgmTo0KGm5mbs2LFSWloqXbp0kRUrVkjfvn1rvS6hBs1Jek5heU2OdjxOTpeklPIFN+1DTvc2kbbRVQM6R5uqcMCe/hevYcN+ojXrtgkkFcJJ+Vc9p6C44nQFdaV9VVtYR9uYr+XbkXaho7zJhkACLwk19v7973/Lo48+Kj/99JN5vnXrVhk/frzExMTI/v37ZeLEifLPf/6zytcWFhaah32htG/fnj41aJZSswvl+13lAUeDzs7U3EofJj3aRpmanEFdoqVDdKi0igqR8CB/l90zHK+guNQEEp0QMj2nSNKPTaZmX5NiZoa1CysNHSoc4OdjG2GjwcQ6RLjlcdvuMI8JPJvbhpqXX35ZVq5cWeWxJ598Unr37m17vmXLFrn00ktl6dKltv333XeffP/993LzzTfL9u3bZf78+bJu3TqJj4+vdD0NQ9OmTau0n47C8AQpWQXlI6vMI0N2pVUMOVYaahIig6RVVLC0igyRVlFBZiZkHU5u9kUFS2xYEB9ELpzb5Gh+samZSzMhpVDSsgtNWDHPNbzkHvuaU2SGDTd0RI615sQ2h4l5lE++VlVgCWMkDtyE24Ya7eC7Z8+eKo9ph9/Y2PLFAjdt2iTjxo2TRYsWSf/+/c0+vdWQkBD5/fffpXPnzmbfJZdcIuedd57ccsstla5HTQ28ycHM/PKAk5whP+09IgczC0wHzLrw9/WR+IggSYgKltZRxwLPsdCj29Z9wQGM6qjrnEUaQP6qTTkWWKz7csv3676M3MJKQ/1rE+jnKzHhgeYRHRYk0fbBxG7bfip7fnbwhlDj9HrpXr16mUdNtCZGOwQvWbJE+vXrZ9uvY/f1m0pKSjKhpqSkRHbt2mXrf3M87YOjD8Ab6GzFo/u2Mw+r3MISOZRVIIczC8xX89DtzAI5fOy5NmvpTMgHMgvMo7yht2r6IWkNOxVqe+y+6jmeNs9GSWmZacqpHFIqPrceb8hcJ1puMWEaVIIkLjyoPLSElX+NNQEmyByPjQgyw409rYwBR3DLPjVaW6OPxMRE2z5tZtJ+NG+99ZZMnTrV1N5ooGnXrp2sWbOmTuGFjsJA1R/YqTmFfwWdzAI5aBeEDmcVmlqgunYcDfL3rRR27Gt+9KG1QgF+vhVep/8V6Vwl2v9D19QqLi2TklJ9Xlbhudku0ecWKS6z2z52TnXbRXbXM89LLFJS9te2ub653l/vX1hSZutcW9//KbUcYsODKgSSGNtzDSq6r/y51qwcXx4AmkHzU13897//NSOb7I0cOVKCg8unlD906JBpgtIaGu1rU9e/WAg1QMPofxM6wZm1tkcDz0Fb6DlW+5NVYAJAXeg/WV1IT//zsYaS4xcHdTd6z9onpWINSnWhJYj+KIADNetQ01QINUDTKiwplZSsQhNwNPTYN3tZg1BKdkGdR+NoXx+twdBRODp/ib+vrwT4l+/TfiX+ftbjFZ8HHnuNv+1Y+X5/u+0Ac73y61qvoa+x39Zj1gCj/VKYkA1wDbftUwPAc+mkZ+2jQ82jptE+OuRY+55oi8tfIaJyqKDfCID6INQAcCqdw6S82YZO/AAci55pAADAIxBqAACARyDUAAAAj0CoAQAAHoFQAwAAPAKhBgAAeARCDQAA8AiEGgAA4BEINQAAwCMQagAAgEcg1AAAAI9AqAEAAB6BUAMAADyCV63SbbFYzNesrCxX3woAAKgj6+e29XO8Ol4VarKzs83X9u3bu/pWAABAAz7Ho6Kiqj3uY6kt9niQsrIyOXDggERERIiPj49DE6QGpb1790pkZKTDruttKEfK0Z3w+0g5uhNv/320WCwm0LRp00Z8favvOeNVNTVaEO3atWuy6+svmjf+sjka5Ug5uhN+HylHd+LNv49RNdTQWNFRGAAAeARCDQAA8AiEGgcICgqSRx55xHwF5ehq/D5Sju6E30fK0Zm8qqMwAADwXNTUAAAAj0CoAQAAHoFQAwAAPAKhph7eeOMN6dWrl3m8/fbbtZ6fn58vgwYNkquuuqoxPyOPM2vWLOnRo4f06dNH3n333RrP/fnnn+XCCy+UTp06mTmG1q1b57T7dHcvvviiKce+ffvKokWLqj0vLy9Pbr/9djnllFOkZ8+ect9990lJSYlT79VdLV++3Pxe6eO2226r9fyZM2dK9+7d5dRTT5XFixc75R6bgyVLltjK8Y477qjx3MOHD8stt9wiJ598sowYMUK+/PJLp92nu3vvvfds5Th16tQ6vSY9Pd38P1BbuXsN7SiM2n377beW2NhYy+rVqy1r1qwx2xs3bqzxNVOmTLGMGTPGMmLECIr4mC+++MKSkJBg+fLLLy2fffaZJTo62rJly5YqyyclJcUcf+aZZyx//PGHZe/evZaCggLK0mKxrFq1ytK6dWvL119/bfn0008tLVu2tPz+++9Vls20adMsQ4YMsfz666/md7ZHjx6W119/nXK0WCy5ubnm9+rxxx+3XHnllTWWiZZz27ZtLWvXrrV8/PHHlhYtWliSkpIoR7tyfPTRRy3jx4+vsUyuvfZay2uvvWbZunWr+T0MCwuzHDx4kHK0K8cHH3zQcs0119SpTK666irLpZdeWmu5ewtqaupowYIFMmnSJBk5cqT56+LGG2+U+fPnV3v+2rVrzV8kl19+uaPyp0d45513zF/Ew4YNk3PPPVeuueaaastRa3TOPvtsuffee6Vbt27mrxeGzf9VjpMnT5ahQ4fK+eefLxMmTDD7qhIcHGymV7fW1LRq1UpCQkKa8KfcfISGhprfqxYtWtR6rpbvlClT5MwzzzS1h1oDW12Ze2s51mXG17feektuuukmU1Oj/6fGxcXJ7t27nXKfnlSOaunSpab8zjrrrCa/t+aCUFNHu3btMv8IrXRb91UlNzdX/vnPf8rLL7/smJ+Sl5bj5s2bpUuXLjJ8+HBT5a/VsQUFBU68W88ox7vvvtusG9OyZUuJjo42AUdDEJquzFE9+3V71q9fL6WlpdK7d2+KrJ5SU1NlxowZMn36dMrODqGmjoqLi8Xf/6+lsgICAqSoqKjKczXQ6AdwbGxsXS/vNepTjtoX5IMPPpBHH33U9BnR/jRPPfWUE+/WM8pRw3VGRoZ89dVXsmbNGtmwYYO8//77Trxb7ytz1G7r1q3y97//3dQ2UHNYf1rj/fTTT5vaHXjpgpaN0bZtW/nzzz9tz3W7usUxtRPxihUr5M477zSdhbXm5rTTTqOTaz3LUfdrk4m1alX/Ec+bN8/RP1qPL0ftDKudCLVDsbrhhhvM7ycd2JuuzCG1DgDQpnkdKDBgwACKq54yMzNl2bJl8t1335nnOTk5JnRffPHF8tFHH3l1eVJTU0f6yzJ37lw5cuSIeej26NGjqzw3KSnJVKvq4/HHHzf/aPWDBeXlOGfOHNMckpaWZvokVFeOY8aMkW+++cacq6N1/vvf/8qJJ55IMR4rxzfffFOys7MlJSXFfDhUV446ckzLTstQm+9WrVplmvVQ/zLXEZD6AaL95RYuXFhtmaN6WlOo/7a19lVHh6L+dJVu7Ydk/Zy56667TB/FOXPmUJyu7qncXJSUlJje6MHBweZx/fXXW8rKysyxTz75xDJq1KgqX/fee+8x+slOcXGx6a1vLcdbb73VdmzZsmWW//f//p/tuZavHg8NDbVERERYhg8fbklNTW26H3IzUlRUZLniiits5Th58mTbsQ8++MAyevRo2/Pdu3dbBg4caAkPDzdlqaPxMjIyXHTn7uWXX34xI5p0JFNISIjZnjt3rjm2aNEiy9ixY23nFhYWWi677DJbmd95550uvHP3smnTJlN2UVFR5ndMtxcsWGCO6ddx48bZztWReDriSc+xPnQkJCyWDRs2VCpH/T1U+ns5YcKEKotp5syZjH46hrWf6kn/MlYRERG2fdrEpPvj4+MrnW9tfqJ/TUVa+6IdBsPDwyv0odGy0t789nSfLlFmfy7qX45aw6Dn0gb/F62y11oXe9qhOiwsrNpy1Kp/7Vuj56Cc9i3SGsOqylHLUP8ftP4fqB1cCwsLK5yrx3SUnrerqhy1c7/+mz2+HO1Zm59atmwp3o5QAwAAPAJ9agAAgEcg1AAAAI9AqAEAAB6BUAMAADwCoQYAAHgEQg0AAPAIhBoAzYbOiKwru1elrKxMrrzySqfey9VXX+209wNQO+apAeAQf/vb38zkYT4+PmaCsLFjx8qIESMcWro6yZiut3T06NFKx3QZCJ3ATb82BZ3cTAOVTu9vvZdWrVqZrwDcAzU1ABxCF9jTEKO1JYmJiWZdpI0bN3pM6ZaWlprvEYD7YpVuAA5z/vnnmwU01ZIlS8yie/379zfPdTmCl156SQ4cOCBnnHGGXHfddWbZBm3GufHGG82ifLrCfWBgoNx7772mFkTt2bNHZs6caZbKGD9+fJ3vRZcumTVrlmzbtk26du0qkydPNtPI1/Z+es8vvviieT+tmXnhhRdk/vz58uSTT5raGq2BUtYV4zdt2lTldQA4HzU1ABzm1ltvNR/6ujJ9+/bt5aKLLjL7dc0aXZFZm42GDBkir776qtxzzz3mmDYXvffee/LII4+Y1+nq7dZ+M7r+0plnnmkCRq9evWTKlCl1ug8NHyNHjjRrDOnqxUeOHDGBq67vp01o+n633367/Pvf/zbHzjrrLPHz85Nx48aZh9KAVNV1ALgGfWoAOIT2Z9EaFV0Acv/+/aa24/3335eBAwfKihUr5Pnnn5f//e9/5tzk5GTp06ePqU3RPimRkZGSkZEhLVq0MAv3tW7d2izWuXz5cpk9e7asWbPGvO6HH36Qc845p9Y+NZ988ompjTn99NNtxz/++GNTC6OLf1b3ftq8pIFr9erVld5PA4yer19VTfcNwDVofgLQJM1PGlg02CxcuNCszNyxY0fbebqttSJag6N0FWINBsq6Qraq6nV1cfDgQXMf1hoVpdsRERGm1qe699Palg4dOtheY/1eqlPddQC4BqEGQJPQ2pqgoCCz3b17d3niiSdMbYZ++K9cudIEhpCQkBpHD+nrnnvuOVM7orUwq1atqtN7ay2Q1gZpU1dCQkKFYzW938knnywzZswwo7i0j4y1xkYFBASYQKQdhrUZCoD7IdQAcGifGq290M7AO3bskM8//9zs12ag4cOHm9CgDx0VZe1oWxPtUNyvXz855ZRTzIgqDRR1oZ2TtflJQ5H25dHwpJ2E33zzzRpfpyFIX6P3qJ2LtW+OhhulQUbvZejQoaaZqS73D8C5CDUAHEI732ro0E620dHRpvOs9l+x0hCwefNm0zSkNSnWGhQNHO+++26Fa33wwQcVrrthwwYzuV7fvn2rra3R0GH/Oq0ZmjRpkmzZssU0C2lNT13eb+nSpfL999+bWhkdsaU1RVbat+fbb7+VzMzMWq8DwPnoKAwAdnTo9k8//WQ6B//444+yePFiGTVqFGUENAOEGgCwoyO0Dh06ZEY2aY1SfHw85QM0E4QaAADgEZh8DwAAeARCDQAA8AiEGgAA4BEINQAAwCMQagAAgEcg1AAAAI9AqAEAAB6BUAMAADwCoQYAAIgn+P9jjv0iPZv+1AAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from pyscivr.potentials import mace_anicc_potential\n", "\n", "import warnings\n", "warnings.filterwarnings(\"ignore\") # Ignore warnings from MACE\n", "\n", "r_list = np.linspace(0.4, 1.5, 12)\n", "posi_list = np.array([[[0.0, 0.0, 0.0], [0.0, 0.0, r]] for r in r_list])\n", "\n", "pot_mace = mace_anicc_potential(['H', 'H'], device='cpu', num_threads=1)\n", "\n", "ener_list_batch_mace, _ = pot_mace.energy_forces(posi_list)\n", "\n", "plt.xlabel(\"Bond length\")\n", "plt.ylabel(\"Energy (eV)\")\n", "plt.title(\"H2 Potential (MACE-ANI-CC)\")\n", "plt.plot(r_list, ener_list_batch_mace)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1d82e9a8", "metadata": {}, "source": [ "## ASEPotential with ORCA\n", "\n", "Here, ORCA is used through its ASE calculator. Calculators of other programs supported by ASE can be used in the same way.\n", "\n", "In addition to\n", "\n", "```bash\n", "uv sync --extra ase\n", "```\n", "\n", "ORCA must be installed separately (free for academic use after registration at https://www.faccts.de/orca/).\n", "Replace `path_to_orca` below with the full path to your ORCA executable.\n", "\n", "Reference:\n", "\n", "F. Neese, F. Wennmohs, U. Becker, and C. Riplinger, \"The ORCA quantum chemistry program package,\" J. Chem. Phys. **152**, 224108 (2020)." ] }, { "cell_type": "code", "execution_count": 4, "id": "ff307c7d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from ase.calculators.orca import ORCA, OrcaProfile\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from pyscivr.potentials import ASEPotential\n", "\n", "import contextlib\n", "import io\n", "\n", "with contextlib.redirect_stdout(io.StringIO()): # Suppress output from ASE\n", "\n", " r_list = np.linspace(0.4, 1.5, 12)\n", " posi_list = np.array([[[0.0, 0.0, 0.0], [0.0, 0.0, r]] for r in r_list])\n", "\n", " path_to_orca = \"/path/to/orca\" # Replace with the actual path to your ORCA executable\n", " profile = OrcaProfile(command=path_to_orca)\n", " calc = ORCA(profile=profile,\n", " charge=0, mult=1,\n", " orcasimpleinput=\"B3LYP def2-SVP TightSCF engrad\",\n", " directory=\"orca_work\")\n", " pot_orca = ASEPotential(symbols=['H', 'H'], calc=calc)\n", "\n", " ener_list_batch_orca, _ = pot_orca.energy_forces(posi_list)\n", "\n", " plt.xlabel(\"Bond length\")\n", " plt.ylabel(\"Energy (eV)\")\n", " plt.title(\"H2 Potential (ORCA B3LYP/def2-SVP)\")\n", " plt.plot(r_list, ener_list_batch_orca)\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "2c7dc79e", "metadata": {}, "source": [ "## DFTPotential\n", "\n", "Here, DFT calculations with PySCF are used. PySCF can be installed by\n", "\n", "```bash\n", "uv sync --extra pyscf\n", "```\n", "\n", "Reference:\n", "\n", "Q. Sun et al., \"The Python simulations of chemistry framework: 10 years of an open-source quantum chemistry project,\" J. Chem. Phys. **165**, 102502 (2026)." ] }, { "cell_type": "code", "execution_count": 5, "id": "0571e792", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from pyscivr.potentials import DFTPotential\n", "\n", "r_list = np.linspace(0.4, 1.5, 12)\n", "posi_list = np.array([[[0.0, 0.0, 0.0], [0.0, 0.0, r]] for r in r_list])\n", "\n", "pot_dft = DFTPotential(symbols=['H', 'H'], xc='B3LYP', basis='def2-SVP', charge=0, spin=0)\n", "\n", "ener_list_batch_dft, _ = pot_dft.energy_forces(posi_list)\n", "\n", "plt.xlabel(\"Bond length\")\n", "plt.ylabel(\"Energy (eV)\")\n", "plt.title(\"H2 Potential (DFT B3LYP/def2-SVP)\")\n", "plt.plot(r_list, ener_list_batch_dft)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8da0a352", "metadata": {}, "source": [ "## Compare the results from MACE, ORCA, and DFT calculations" ] }, { "cell_type": "code", "execution_count": 6, "id": "56f68b29", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(r_list, ener_list_batch_spline, label='Spline (CCSD(T)/aug-cc-pV5Z)')\n", "plt.plot(r_list, ener_list_batch_mace, label='MACE-ANI-CC')\n", "plt.plot(r_list, ener_list_batch_orca, label='ORCA (B3LYP/def2-SVP)')\n", "plt.plot(r_list, ener_list_batch_dft, label='DFT (B3LYP/def2-SVP)')\n", "plt.xlabel(\"Bond length (Å)\")\n", "plt.ylabel(\"Energy (eV)\")\n", "plt.title(\"H2 Potential Comparison\")\n", "plt.legend()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "pyscivr (3.13.11)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.11" } }, "nbformat": 4, "nbformat_minor": 5 }