{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Compare Sr $5s5s \\rightarrow 5snl$ matrix elements with NIST" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-07-27T11:05:47.981466Z", "iopub.status.busy": "2026-07-27T11:05:47.981371Z", "iopub.status.idle": "2026-07-27T11:05:49.925111Z", "shell.execute_reply": "2026-07-27T11:05:49.924696Z" } }, "outputs": [], "source": [ "# %matplotlib widget\n", "\n", "import logging\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import rydstate\n", "\n", "logging.getLogger(\"rydstate\").setLevel(logging.ERROR)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## NIST reference values\n", "\n", "The NIST ASD line strength of an E1 transition is $S = |\\langle J \\Vert d \\Vert J' \\rangle|^2$ in atomic units $(e\\,a_0)^2$,\n", "so it is directly comparable to the square of rydstate's reduced matrix elements." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-07-27T11:05:49.926677Z", "iopub.status.busy": "2026-07-27T11:05:49.926478Z", "iopub.status.idle": "2026-07-27T11:05:49.929358Z", "shell.execute_reply": "2026-07-27T11:05:49.929010Z" } }, "outputs": [], "source": [ "# {(n, s_tot): S in (e a0)^2} from https://physics.nist.gov/PhysRefData/ASD/lines_form.html (retrieved 2026-07-24)\n", "nist_s = {\n", " (5, 0): 2.91e1,\n", " (6, 0): 7.1e-2,\n", " (7, 0): 1.3e-1,\n", " (8, 0): 3.5e-1,\n", " (9, 0): 2.09e-1,\n", " (10, 0): 1.2e-1,\n", " (11, 0): 6.3e-2,\n", " (12, 0): 4.0e-2,\n", " (13, 0): 2.57e-2,\n", " (14, 0): 1.89e-2,\n", " (15, 0): 1.4e-2,\n", " (16, 0): 1.0e-2,\n", " (17, 0): 7.9e-3,\n", " (18, 0): 6.6e-3,\n", " (19, 0): 5.0e-3,\n", " (20, 0): 4.01e-3,\n", "}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bare vs. full operator\n", "\n", "The full matrix element (including the symmetry factor $\\sqrt{2}$) is used automatically if \"electric_dipole\" is specified.\n", "The symmetry factor applies because exactly one of the two states, the $5s5s$ ground state, has both of its valence\n", "electrons in the same shell, see `RydbergKet.valence_electrons_are_in_the_same_shell`.\n", "\n", "The $\\sqrt{2}$ enters every contribution to the matrix element, so it cannot be switched off via the `part` argument\n", "(`part=\"rydberg\"` selects only the contribution of the Rydberg electron, but still includes the $\\sqrt{2}$).\n", "To compute the bare values for comparison, we therefore overwrite the cached\n", "`valence_electrons_are_in_the_same_shell` of the ground state, i.e. we treat the two valence electrons\n", "as distinguishable." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "n_max = 30\n", "matrix_elements: dict[str, dict[tuple[int, float], float]] = {}\n", "\n", "for potential in [\"coulomb\", \"fei_2009\"]:\n", " basis_ns = rydstate.BasisSQDT(\"Sr88\", n=(0, n_max), l_r=(0, 0), potential_class=potential)\n", " ground_state = basis_ns.sort_states(\"nu\").states[0]\n", " basis_np = rydstate.BasisSQDT(\"Sr88\", n=(0, n_max), l_r=(1, 1), potential_class=potential)\n", "\n", " matrix_elements[potential + \" - full\"] = {\n", " (state.n, state.calc_exp_qn(\"s_tot\")): state.calc_reduced_matrix_element(\n", " ground_state, \"electric_dipole\", unit=\"e a0\"\n", " )\n", " for state in basis_np.states\n", " }\n", "\n", " for ket in ground_state.rydberg_kets: # ignore the symmetry factor for the bare matrix elements\n", " ket.__dict__[\"valence_electrons_are_in_the_same_shell\"] = False\n", " matrix_elements[potential + \" - bare\"] = {\n", " (state.n, state.calc_exp_qn(\"s_tot\")): state.calc_reduced_matrix_element(\n", " ground_state, \"electric_dipole\", unit=\"e a0\"\n", " )\n", " for state in basis_np.states\n", " }\n", " for ket in ground_state.rydberg_kets: # restore the cached property\n", " del ket.__dict__[\"valence_electrons_are_in_the_same_shell\"]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison plot\n", "\n", "Left: the matrix elements themselves.\n", "Right: the ratio of the calculated matrix elements to the NIST values." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-07-27T11:50:48.766690Z", "iopub.status.busy": "2026-07-27T11:50:48.766530Z", "iopub.status.idle": "2026-07-27T11:50:49.136541Z", "shell.execute_reply": "2026-07-27T11:50:49.136078Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax_me, ax_ratio) = plt.subplots(1, 2, figsize=(12, 5))\n", "\n", "colors = [\"C0\", \"C0\", \"C1\", \"C1\", \"C2\", \"C2\", \"C3\", \"C3\"]\n", "linestyles = [\"-\", \"--\", \"-\", \"--\", \"-\", \"--\", \"-\", \"--\"]\n", "markers = [\"o\", \"s\", \"x\", \"s\", \"^\", \"v\", \"o\", \"s\", \"^\", \"v\"]\n", "\n", "s_tot = 0\n", "s_tot_label = rf\"$s_{{tot}}={s_tot}$\"\n", "n_nist = sorted(n for (n, _s_tot) in nist_s if _s_tot == s_tot)\n", "\n", "for label, me in matrix_elements.items():\n", " n_list = [n for (n, _s_tot) in me if _s_tot == s_tot]\n", " style = {\"color\": colors.pop(0), \"linestyle\": linestyles.pop(0), \"marker\": markers.pop(0), \"markersize\": 4}\n", " ax_me.plot(n_list, [abs(me[(n, s_tot)]) for n in n_list], **style, label=f\"{label}, {s_tot_label}\")\n", " ax_ratio.plot(n_nist, np.abs([me[(n, s_tot)] / np.sqrt(nist_s[(n, s_tot)]) for n in n_nist]), **style)\n", "\n", "ax_me.plot(\n", " n_nist,\n", " [np.sqrt(nist_s[(n, s_tot)]) for n in n_nist],\n", " color=\"k\",\n", " linestyle=\"none\",\n", " marker=\"X\",\n", " markeredgecolor=\"black\",\n", " fillstyle=\"none\",\n", " label=f\"NIST, {s_tot_label}\",\n", ")\n", "\n", "ax_me.set_xscale(\"log\")\n", "ax_me.set_yscale(\"log\")\n", "ax_me.set_xticks([5, 6, 8, 10, 15, 20], labels=[\"5\", \"6\", \"8\", \"10\", \"15\", \"20\"])\n", "ax_me.set_xlabel(\"principal quantum number $n$\")\n", "ax_me.set_ylabel(r\"$\\sqrt{S_\\mathrm{calc}} = |\\langle 5s_{1/2} \\Vert d \\Vert np_j \\rangle|$ ($e\\,a_0$)\")\n", "ax_me.legend()\n", "\n", "ax_ratio.axhline(1, color=\"gray\", lw=0.8)\n", "ax_ratio.set_xlabel(\"principal quantum number $n$\")\n", "ax_ratio.set_ylabel(r\"$\\sqrt{S_\\mathrm{calc}} / \\sqrt{S_\\mathrm{NIST}}$\")\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "rydstate (3.12.7)", "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": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 2 }