{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Représentation graphique des orbitales atomiques\n", "\n", "##### Germain Salvato-Vallverdu [germain.vallverdu@univ-pau.fr](germain.vallverdu@univ-pau.fr)\n", "\n", "1. [Parties Radiales](#2.-Parties-radiales)\n", "2. [Parties angulaires](#2.-Parties-angulaires)\n", "3. [Orbitales atomiques](#3.-Orbitales-atomiques)\n", "\n", "Un site avec de nombreuses visualisations : [orbitron gallery](http://winter.group.shef.ac.uk/orbitron/)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "import numpy as np\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Parties radiales\n", "\n", "### Expressions des parties radiales\n", "\n", "Experssion analytique des parties radiales des orbitales atomiques d'un ion hydrogènpïde de numéro atomique $Z$ :\n", "\n", "\\begin{align*}\n", " R_{10}(r) & = 2 \\left(\\frac{Z}{a_o}\\right)^{3/2} \\exp\\left(-\\frac{Zr}{a_o}\\right) \\\\\n", " R_{20}(r) & = \\frac{1}{2\\sqrt{2}} \\left(\\frac{Z}{a_o}\\right)^{3/2} \\left(2 - \\frac{Zr}{a_o}\\right) \\exp\\left(-\\frac{Zr}{2a_o}\\right) \\\\\n", " R_{21}(r) & = \\frac{1}{2\\sqrt{6}} \\left(\\frac{Z}{a_o}\\right)^{5/2} r \\exp\\left(-\\frac{Zr}{2a_o}\\right) \\\\\n", " R_{30}(r) & = \\frac{2}{81\\sqrt{3}} \\left(\\frac{Z}{a_o}\\right)^{3/2} \\left(27 - \\frac{18Zr}{a_o} + \\frac{2Z^2r^2}{{a_o}^2}\\right) \\exp\\left(-\\frac{Zr}{3a_o}\\right) \\\\\n", " R_{31}(r) & = \\frac{4}{81\\sqrt{6}} \\left(\\frac{Z}{a_o}\\right)^{5/2} \\left(6r - \\frac{Zr^2}{a_o}\\right) \\exp\\left(-\\frac{Zr}{3a_o}\\right) \\\\\n", " R_{32}(r) & = \\frac{4}{81\\sqrt{30}} \\left(\\frac{Z}{a_o}\\right)^{7/2} r^2 \\exp\\left(-\\frac{Zr}{3a_o}\\right)\n", "\\end{align*}" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def radial1s(r, Z=1, ao=0.529):\n", " rho = Z * r / ao\n", " return 2 * np.sqrt(Z/ao)**3 * np.exp(- rho)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def radial2s(r, Z=1, ao=0.529):\n", " rho = Z * r / ao\n", " return 1 / (2 * np.sqrt(2)) * (Z/ao)**(3/2) * (2 - rho) * np.exp(- rho / 2)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def radial2p(r, Z=1, ao=0.529):\n", " rho = Z * r / ao\n", " return 1 / (2 * np.sqrt(6)) * (Z/ao)**(3/2) * rho * np.exp(- rho / 2)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def radial3s(r, Z=1, ao=0.529):\n", " rho = Z * r / ao\n", " return 2 / (81 * np.sqrt(3)) * (Z/ao)**(3/2) * (27 - 18*rho + 2*rho**2) * np.exp(- rho / 3)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def radial3p(r, Z=1, ao=0.529):\n", " rho = Z * r / ao\n", " return 4 / (81 * np.sqrt(6)) * (Z/ao)**(3/2) * (6 * rho - rho**2) * np.exp(- rho / 3)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def radial3d(r, Z=1, ao=0.529):\n", " rho = Z * r / ao\n", " return 4 / (81 * np.sqrt(30)) * (Z/ao)**(3/2) * rho**2 * np.exp(- rho / 3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vérification de la condition de normalisation." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9999141329571536" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "r = np.linspace(0, 20, 200)\n", "np.trapz(r**2 * radial1s(r)**2, x=r)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Représentation graphique\n", "\n", "Représentation graphiques de la fonction d'onde et de la densité de probabilité de présence radiale." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(\n", " ncols=3, nrows=3,\n", " figsize=(12, 12), sharex=True, sharey=True, \n", " gridspec_kw=dict(wspace=.06, hspace=.06)\n", ")\n", "[ax.grid(False) for ax in axes.flatten()]\n", "\n", "#plt.rcParams[\"font.size\"] = 12\n", "size = 18\n", "\n", "r = np.linspace(0, 15, 400)\n", "\n", "axes[0, 0].plot(r, radial1s(r), label=r\"$\\phi_{1s}$\")\n", "axes[0, 0].plot(r, r**2 * radial1s(r)**2, label=r\"$r^2 \\left\\vert\\phi_{1s}\\right\\vert^2$\")\n", "\n", "axes[1, 0].plot(r, radial2s(r), label=r\"$\\phi_{2s}$\")\n", "axes[1, 0].plot(r, r**2 * radial2s(r)**2, label=r\"$r^2 \\left\\vert\\phi_{2s}\\right\\vert^2$\")\n", "\n", "axes[1, 1].plot(r, radial2p(r), label=r\"$\\phi_{2p}$\")\n", "axes[1, 1].plot(r, r**2 * radial2p(r)**2, label=r\"$r^2 \\left\\vert\\phi_{2p}\\right\\vert^2$\")\n", "\n", "axes[2, 0].plot(r, radial3s(r), label=r\"$\\phi_{3s}$\")\n", "axes[2, 0].plot(r, r**2 * radial3s(r)**2, label=r\"$r^2 \\left\\vert\\phi_{3s}\\right\\vert^2$\")\n", "\n", "axes[2, 1].plot(r, radial3p(r), label=r\"$\\phi_{3p}$\")\n", "axes[2, 1].plot(r, r**2 * radial3p(r)**2, label=r\"$r^2 \\left\\vert\\phi_{3p}\\right\\vert^2$\")\n", "\n", "axes[2, 2].plot(r, radial3d(r), label=r\"$\\phi_{3d}$\")\n", "axes[2, 2].plot(r, r**2 * radial3d(r)**2, label=r\"$r^2 \\left\\vert\\phi_{3d}\\right\\vert^2$\")\n", "\n", "for i in range(3):\n", " axes[i, 0].set_ylabel(\"n = %d\" % (i + 1), fontsize=size)\n", " for j in range(3):\n", " if j > i:\n", " axes[i, j].axis(\"off\")\n", " \n", " else:\n", " axes[i, j].plot([0, 15], [0, 0], linewidth=.5, color=\"C7\", label=\"\")\n", " axes[i, j].legend(fontsize=size, frameon=False)\n", " if i == 2:\n", " axes[i, j].set_xlabel(\"r ($\\AA$)\", fontsize=size)\n", " if i == j:\n", " axes[i, j].set_title(\"$\\ell$ = %d\" % j, fontsize=size)\n", " if j > 0:\n", " axes[i, j].yaxis.set_visible(False)\n", "\n", "\n", "axes[0, 0].set_ylim((-.3, 1.05))\n", "axes[0, 0].set_xlim((0, 14.9))\n", "fig.suptitle(\"Parties radiales des orbitales atomiques\", fontsize=size, y=.96)\n", "\n", "fig.savefig(\"AO_radial.pdf\", bbox_inches=\"tight\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Parties angulaires\n", "\n", "### Expressions des parties angulaires\n", "\n", "Harmoniques spéhriques $Y^m_{\\ell}(\\theta, \\varphi)$\n", "\n", "\\begin{align*}\n", " Y_0^0 & = \\frac{1}{\\sqrt{4\\pi}} \\\\\n", " Y_1^0 & = \\sqrt{\\frac{3}{4\\pi}} \\cos\\theta & \n", " Y_1^{\\pm1} & = \\mp\\sqrt{\\frac{3}{2\\pi}} \\sin\\theta \\, e^{\\pm i\\varphi} \\\\\n", " Y_2^0 & = \\sqrt{\\frac{5}{16\\pi}} \\left(3\\cos^2\\theta-1\\right) &\n", " Y_2^{\\pm 1} & = \\mp \\sqrt{\\frac{15}{4\\pi}} \\sin\\theta\\cos\\theta \\, e^{\\pm i\\varphi} &\n", " Y_2^{\\pm 2} & = \\sqrt{\\frac{15}{4\\pi}} \\sin^2\\theta \\, e^{\\pm 2i\\varphi} \\\\\n", " Y_3^0 & = \\sqrt{\\frac{7}{16\\pi}} \\left(5\\cos^3\\theta - 3\\cos\\theta\\right) &\n", " Y_3^{\\pm 1} & = \\mp \\sqrt{\\frac{21}{64\\pi}} \\sin\\theta\\left(5\\cos^2\\theta - 1\\right) \\, e^{\\pm i\\varphi} &\n", " Y_3^{\\pm 2} & = \\sqrt{\\frac{105}{16\\pi}} \\sin^2\\theta\\cos\\theta \\, e^{\\pm 2i\\varphi} \\\\\n", " & & & & Y_3^{\\pm 3} & = \\mp \\sqrt{\\frac{35}{64\\pi}} \\sin^3\\theta \\, e^{\\pm 3i\\varphi}\n", "\\end{align*}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Les fonctions pour m=0 sont réelles :" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def Y00(theta, phi):\n", " return 1 / np.sqrt(4 * np.pi)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def Y10(theta, phi):\n", " return np.sqrt(3 / (4 * np.pi)) * np.cos(theta)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "def Y20(theta, phi):\n", " return np.sqrt(5 / (16 * np.pi)) * (3 * np.cos(theta)**2 - 1)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "def Y30(theta, phi):\n", " return np.sqrt(7 / (16 * np.pi)) * (5 * np.cos(theta)**3 - 3 * np.cos(theta))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On peut construire des fonctions réelles en combinant des fonctions de même valeur de m. Par exemple :\n", "\n", "\\begin{equation*}\n", " \\frac{1}{\\sqrt 2} \\left(-Y_1^1 + Y_1^{-1}\\right) = \\sqrt{\\frac{3}{2\\pi}} \\sin\\theta\\cos\\varphi\n", "\\end{equation*}" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def Y11x(theta, phi):\n", " \"\"\" 1 / sqrt(2) (-Y_1^1 + Y_1^-1) \"\"\"\n", " return np.sqrt(3 / (4 * np.pi)) * np.sin(theta) * np.cos(phi)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "def Y21xz(theta, phi):\n", " \"\"\" 1 / sqrt(2) (-Y_2^1 + Y_2^-1) \"\"\"\n", " return np.sqrt(15 / (2 * np.pi)) * np.sin(theta) * np.cos(theta) * np.cos(phi)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def Y31xz2(theta, phi):\n", " \"\"\" 1 / sqrt(2) (-Y_3^1 + Y_3^-1) \"\"\"\n", " return np.sqrt(21 / (32 * np.pi)) * np.sin(theta) * (5 * np.cos(theta)**2 - 1) * np.cos(phi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Représentation graphique\n", "\n", "On représentera deux fonctions réelles pour chaque valeurs de $\\ell$." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "def pos_neg_part(fonction, theta, phi=0):\n", " \"\"\" return the positive and negative part of the fonction \"\"\"\n", " r = fonction(theta, phi)\n", " ix = np.where(r >= 0)\n", " xp = r[ix] * np.sin(theta[ix])\n", " zp = r[ix] * np.cos(theta[ix])\n", " ix = np.where(r < 0)\n", " xn = -r[ix] * np.sin(theta[ix])\n", " zn = -r[ix] * np.cos(theta[ix])\n", " return xp, zp, xn, zn" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(\n", " ncols=4, nrows=2,\n", " figsize=(14, 8), sharex=True, sharey=True, \n", " gridspec_kw=dict(wspace=.05, hspace=.05)\n", ")\n", "\n", "for ax in axes.flatten():\n", " ax.grid(False)\n", " ax.set_aspect(\"equal\")\n", " ax.set_xlim(-lim, lim)\n", " ax.set_ylim(-lim, lim)\n", "\n", "npts = 500\n", "lim = .8\n", "a = .6\n", "cp = \"C0\" # positive\n", "cn = \"C3\" # negative\n", "co = \"C7\" # nodal\n", "theta = np.linspace(0, 2 * np.pi, npts)\n", "\n", "# s\n", "x = Y00(theta, phi=0) * np.sin(theta)\n", "z = Y00(theta, phi=0) * np.cos(theta)\n", "axes[0, 0].fill(x, z, color=cp, alpha=a)\n", "axes[0, 0].plot(x, z, color=cp)\n", "axes[0, 0].set_title(\"$ns$, $\\ell=0$\", fontsize=16)\n", "axes[0, 0].set_xlabel(\"x / $\\AA$\", fontsize=14)\n", "axes[0, 0].text(.45, .65, \"$ns$\", fontsize=14)\n", "axes[1, 0].axis(\"off\")\n", "\n", "# p\n", "xp, zp, xn, zn = pos_neg_part(Y10, theta)\n", "axes[0, 1].fill(xp, zp, alpha=a, color=cp)\n", "axes[0, 1].plot(xp, zp, color=cp)\n", "axes[0, 1].fill(xn, zn, color=cn, alpha=a)\n", "axes[0, 1].plot(xn, zn, color=cn)\n", "axes[0, 1].plot((-lim, lim), (0, 0), color=co, lw=.5)\n", "axes[0, 1].set_title(\"$np$, $\\ell=1$\", fontsize=16)\n", "axes[0, 1].text(.45, .65, \"$np_z$\", fontsize=14)\n", "axes[0, 1].yaxis.set_visible(False)\n", "\n", "xp, zp, xn, zn = pos_neg_part(Y11x, theta)\n", "axes[1, 1].fill(xp, zp, color=cp, alpha=a)\n", "axes[1, 1].plot(xp, zp, color=cp)\n", "axes[1, 1].fill(xn, zn, color=cn, alpha=a)\n", "axes[1, 1].plot(xn, zn, color=cn)\n", "axes[1, 1].plot((0, 0), (-lim, lim), color=co, lw=.5)\n", "axes[1, 1].set_xlabel(\"x / $\\AA$\", fontsize=14)\n", "axes[1, 1].set_ylabel(\"z / $\\AA$\", fontsize=14)\n", "axes[1, 1].text(.45, .65, \"$np_x$\", fontsize=14)\n", "\n", "# d\n", "xp, zp, xn, zn = pos_neg_part(Y20, theta)\n", "axes[0, 2].fill(xp, zp, color=cp, alpha=a)\n", "axes[0, 2].plot(xp, zp, color=cp)\n", "axes[0, 2].fill(xn, zn, color=cn, alpha=a)\n", "axes[0, 2].plot(xn, zn, color=cn)\n", "theta0 = np.arccos(1 / np.sqrt(3))\n", "axes[0, 2].plot((-np.sin(theta0), np.sin(theta0)), (-np.cos(theta0), np.cos(theta0)), color=co, lw=.5)\n", "axes[0, 2].plot((-np.sin(theta0), np.sin(theta0)), (np.cos(theta0), -np.cos(theta0)), color=co, lw=.5)\n", "axes[0, 2].set_title(\"$nd$, $\\ell=2$\", fontsize=16)\n", "axes[0, 2].text(.45, .65, \"$nd_{z^2}$\", fontsize=14)\n", "axes[0, 2].yaxis.set_visible(False)\n", "\n", "xp, zp, xn, zn = pos_neg_part(Y21xz, theta)\n", "axes[1, 2].fill(xp, zp, color=cp, alpha=a)\n", "axes[1, 2].plot(xp, zp, color=cp)\n", "axes[1, 2].fill(xn, zn, color=cn, alpha=a)\n", "axes[1, 2].plot(xn, zn, color=cn)\n", "axes[1, 2].plot((0, 0), (-lim, lim), color=co, lw=.5)\n", "axes[1, 2].plot((-lim, lim), (0, 0), color=co, lw=.5)\n", "axes[1, 2].set_xlabel(\"x / $\\AA$\", fontsize=14)\n", "axes[1, 2].text(.45, .65, \"$nd_{xz}$\", fontsize=14)\n", "axes[1, 2].yaxis.set_visible(False)\n", "\n", "# f\n", "xp, zp, xn, zn = pos_neg_part(Y30, theta)\n", "axes[0, 3].fill(xp, zp, color=cp, alpha=a)\n", "axes[0, 3].plot(xp, zp, color=cp)\n", "axes[0, 3].fill(xn, zn, color=cn, alpha=a)\n", "axes[0, 3].plot(xn, zn, color=cn)\n", "axes[0, 3].plot((-lim, lim), (0, 0), color=co, lw=.5)\n", "theta0 = np.arccos(np.sqrt(3/5))\n", "axes[0, 3].plot((-np.sin(theta0), np.sin(theta0)), (-np.cos(theta0), np.cos(theta0)), color=co, lw=.5)\n", "axes[0, 3].plot((-np.sin(theta0), np.sin(theta0)), (np.cos(theta0), -np.cos(theta0)), color=co, lw=.5)\n", "axes[0, 3].set_title(\"$nf$, $\\ell=3$\", fontsize=16)\n", "axes[0, 3].text(.45, .65, \"$nf_{z^3}$\", fontsize=14)\n", "axes[0, 3].yaxis.set_visible(False)\n", "\n", "xp, zp, xn, zn = pos_neg_part(Y31xz2, theta)\n", "axes[1, 3].fill(xp, zp, color=cp, alpha=a)\n", "axes[1, 3].plot(xp, zp, color=cp)\n", "axes[1, 3].fill(xn, zn, color=cn, alpha=a)\n", "axes[1, 3].plot(xn, zn, color=cn)\n", "axes[1, 3].plot((0, 0), (-lim, lim), color=co, lw=.5)\n", "theta0 = np.arccos(np.sqrt(1/5))\n", "axes[1, 3].plot((-np.sin(theta0), np.sin(theta0)), (-np.cos(theta0), np.cos(theta0)), color=co, lw=.5)\n", "axes[1, 3].plot((-np.sin(theta0), np.sin(theta0)), (np.cos(theta0), -np.cos(theta0)), color=co, lw=.5)\n", "axes[1, 3].set_xlabel(\"x / $\\AA$\", fontsize=14)\n", "axes[1, 3].text(.45, .65, \"$nf_{xz^2}$\", fontsize=14)\n", "axes[1, 3].yaxis.set_visible(False)\n", "\n", "# layout\n", "axes[0, 0].set_ylabel(\"z / $\\AA$\", fontsize=14)\n", "fig.suptitle(\"Parties angulaires des orbitales atomiques\", fontsize=18)\n", "fig.savefig(\"OA_angular.pdf\", bbox_inches=\"tight\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Orbitales atomiques\n", "\n", "L'expression générale des orbitales atomiques fait intervenir une partie radiale et une partie angulaire et est caractérisée par les trois nombres quantiques $(n, \\ell, m_{\\ell})$ :\n", "\\begin{equation*}\n", "\\Psi_{n, \\ell, m_{\\ell}}(r, \\theta, \\varphi) = R_{n, \\ell} (r) \\, Y_{\\ell}^{m_{\\ell}}(\\theta, \\varphi)\n", "\\end{equation*}\n", "\n", "On représente la densité électronique associée à différentes orbitales atomiques dans le plan $(xOz)$." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "def sample(fonction, rmax=10, ntry=10000, phi=0):\n", " \"\"\" échantillonage de la densité de probabilité de présence associée à une OA \"\"\"\n", " x = np.random.uniform(-rmax, rmax, ntry)\n", " z = np.random.uniform(-rmax, rmax, ntry)\n", " r = np.sqrt(x**2 + z**2)\n", " theta = np.arccos(z / r) # le theta des sphériques\n", "\n", " rho = fonction(r, theta, phi=phi)**2\n", " rnd = np.random.rand(ntry)\n", " ix = np.where(rho > rnd)\n", " return x[ix], z[ix]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Orbitales atomiques de symétrie sphérique" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "def OA1s(r, theta, phi, ao=0.529, Z=1):\n", " return radial1s(r, Z, ao) * Y00(theta, phi)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "def OA2s(r, theta, phi, ao=0.529, Z=1):\n", " return radial2s(r, Z, ao) * Y00(theta, phi)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "def OA3s(r, theta, phi, ao=0.529, Z=1):\n", " return radial3s(r, Z, ao) * Y00(theta, phi)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1s (2220,)\n", "2s (2450,)\n", "3s (2716,)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(\n", " ncols=3, nrows=1,\n", " figsize=(12, 4), sharex=True, sharey=True, \n", " gridspec_kw=dict(wspace=.05, hspace=.05)\n", ")\n", "\n", "# select ntry such as you get about the same amout of points for each case\n", "\n", "# 1s\n", "x, z = sample(OA1s, ntry=1000000, rmax=10)\n", "axes[0].scatter(x, z, s=4, color=\"C7\")\n", "axes[0].set(aspect=\"equal\")\n", "\n", "print(\"1s\", x.shape)\n", "\n", "# 2s\n", "x, z = sample(OA2s, ntry=6000000, rmax=12)\n", "axes[1].scatter(x, z, s=4, color=\"C7\")\n", "axes[1].set(aspect=\"equal\")\n", "axes[1].grid(False)\n", "axes[1].yaxis.set_visible(False)\n", "print(\"2s\", x.shape)\n", "\n", "# 3s\n", "x, z = sample(OA3s, ntry=20000000, rmax=14)\n", "axes[2].scatter(x, z, s=4, color=\"C7\")\n", "axes[2].set(aspect=\"equal\")\n", "print(\"3s\", x.shape)\n", "rmax = 10\n", "axes[2].set_xlim((-rmax, rmax))\n", "axes[2].set_ylim((-rmax, rmax))\n", "axes[2].grid(False)\n", "axes[2].yaxis.set_visible(False)\n", "\n", "axes[0].set_ylabel(\"z / $\\AA$\", fontsize=14)\n", "axes[0].grid(False)\n", "axes[0].yaxis.set_visible(False)\n", "for i in range(3):\n", " axes[i].set_xlabel(\"x / $\\AA$\", fontsize=14)\n", " axes[i].set_title(\"%ds\" % (i+1), fontsize=14)\n", "fig.suptitle(\"Densité électroniques (OA de type s)\", fontsize=18, y=1.05)\n", "fig.savefig(\"nuage_electronique_s.pdf\", bbox_inches=\"tight\")" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1s (2265,)\n", "2s (2609,)\n", "3s (2667,)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# select ntry such as you get about the same amout of points for each case\n", "\n", "rmax = 11\n", "\n", "fig = plt.figure(figsize=(12, 12))\n", "r = np.linspace(0, 15, 400)\n", "for i, OA in enumerate([(radial1s, \"1s\"), (radial2s, \"2s\"), (radial3s, \"3s\")]):\n", " fonction, label = OA\n", " ax = fig.add_subplot(3, 3, i + 1)\n", " ax.plot(r, fonction(r), color=\"C0\")\n", " ax.plot(-r, fonction(r), color=\"C0\")\n", " ax.plot((-rmax, rmax), (0, 0), color=\"C7\", linewidth=.5)\n", " ax.set_ylim((-.3, 4))\n", " ax.set_xlim((-rmax, rmax))\n", " ax.xaxis.set_visible(False)\n", " ax.set_title(label, fontsize=16)\n", " ax.grid(False)\n", " if i == 0:\n", " ax.set_ylabel(\"Fonction d'onde\", fontsize=14)\n", " if i > 0:\n", " ax.yaxis.set_visible(False)\n", "\n", " ax = fig.add_subplot(3, 3, 7 + i)\n", " ax.plot(r, r**2 * fonction(r)**2, color=\"C1\")\n", " ax.plot(-r, r**2 * fonction(r)**2, color=\"C1\")\n", " ax.set_xlim((-rmax, rmax))\n", " ax.set_ylim((-.05, 1))\n", " ax.plot((-rmax, rmax), (0, 0), color=\"C7\", linewidth=.5)\n", " ax.set_xlabel(\"x / $\\AA$\", fontsize=14)\n", " ax.grid(False)\n", " if i == 0:\n", " ax.set_ylabel(\"Densité de probabilité\\nde présence\", fontsize=14)\n", " if i > 0:\n", " ax.yaxis.set_visible(False)\n", "\n", "# 1s\n", "x, z = sample(OA1s, ntry=1000000, rmax=10)\n", "ax = fig.add_subplot(3, 3, 4)\n", "ax.scatter(x, z, s=4, alpha=1, color=\"C7\")\n", "ax.set_xlim((-rmax, rmax))\n", "ax.set(aspect=\"equal\")\n", "ax.xaxis.set_visible(False)\n", "ax.set_ylabel(\"z / $\\AA$\", fontsize=14)\n", "ax.grid(False)\n", "print(\"1s\", x.shape)\n", "\n", "# 2s\n", "x, z = sample(OA2s, ntry=6000000, rmax=12)\n", "ax = fig.add_subplot(3, 3, 5, sharey=ax)\n", "ax.scatter(x, z, s=4, alpha=1, color=\"C7\")\n", "ax.set_xlim((-rmax, rmax))\n", "ax.set(aspect=\"equal\")\n", "ax.yaxis.set_visible(False)\n", "ax.xaxis.set_visible(False)\n", "ax.grid(False)\n", "print(\"2s\", x.shape)\n", "\n", "# 3s\n", "x, z = sample(OA3s, ntry=20000000, rmax=14)\n", "ax = fig.add_subplot(3, 3, 6, sharey=ax)\n", "ax.scatter(x, z, s=4, alpha=1, color=\"C7\")\n", "ax.set_xlim((-rmax, rmax))\n", "ax.set(aspect=\"equal\")\n", "ax.yaxis.set_visible(False)\n", "ax.xaxis.set_visible(False)\n", "ax.grid(False)\n", "print(\"3s\", x.shape)\n", "\n", "ax.set_xlim((-rmax, rmax))\n", "ax.set_ylim((-rmax, rmax))\n", "\n", "fig.suptitle(\"Densité électroniques (OA de type s)\", fontsize=18, y=.95)\n", "fig.savefig(\"AO_s.pdf\", bbox_inches=\"tight\")\n", "fig.subplots_adjust(wspace=.05, hspace=.05)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Orbitales atomiques p, d et f" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "def OA2pz(r, theta, phi, ao=0.529, Z=1):\n", " return radial2p(r, Z, ao) * Y10(theta, phi)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "def OA3pz(r, theta, phi, ao=0.529, Z=1):\n", " return radial3p(r, Z, ao) * Y10(theta, phi)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "def OA3dz2(r, theta, phi, ao=0.529, Z=1):\n", " return radial3d(r, Z, ao) * Y20(theta, phi)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "def OA4fz3(r, theta, phi, ao=0.529, Z=1):\n", " rho = Z * r / ao\n", " radial = 1 / (768 * np.sqrt(35)) * (Z/ao)**(3/2) * rho**3 * np.exp(- rho / 4)\n", " return radial * Y30(theta, phi)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1s (1829,)\n", "2s (1674,)\n", "2p (1962,)\n", "3p (2647,)\n", "3d (3074,)\n", "4f (4733,)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(\n", " ncols=2, nrows=3,\n", " figsize=(10, 15), sharex=True, sharey=True, \n", " gridspec_kw=dict(wspace=.05, hspace=.05)\n", ")\n", "[ax.grid(False) for ax in axes.flatten()]\n", "\n", "lim = 20\n", "co = \"C3\"\n", "\n", "# 1s\n", "x, z = sample(OA1s, ntry=1200000, rmax=12)\n", "axes[0, 0].scatter(x, z, s=4, color=\"C7\")\n", "axes[0, 0].set(aspect=\"equal\")\n", "axes[0, 0].text(10, 10, \"$1s$\", fontsize=16)\n", "print(\"1s\", x.shape)\n", "\n", "# 2s\n", "x, z = sample(OA2s, ntry=4000000, rmax=12)\n", "axes[0, 1].scatter(x, z, s=4, color=\"C7\")\n", "axes[0, 1].set(aspect=\"equal\")\n", "axes[0, 1].text(10, 10, \"$2s$\", fontsize=16)\n", "print(\"2s\", x.shape)\n", "\n", "# 2p\n", "x, z = sample(OA2pz, ntry=5000000, rmax=15)\n", "axes[1, 0].scatter(x, z, s=4, color=\"C7\")\n", "axes[1, 0].set_aspect(\"equal\")\n", "axes[1, 0].plot((-lim, lim), (0, 0), color=co, lw=.5)\n", "axes[1, 0].text(10, 11, \"$2p_z$\", fontsize=16)\n", "print(\"2p\", x.shape)\n", "\n", "# 3p\n", "x, z = sample(OA3pz, ntry=15000000, rmax=15)\n", "axes[1, 1].scatter(x, z, s=4, color=\"C7\")\n", "axes[1, 1].set_aspect(\"equal\")\n", "axes[1, 1].plot((-lim, lim), (0, 0), color=co, lw=.5)\n", "axes[1, 1].text(10, 10, \"$3p_z$\", fontsize=16)\n", "print(\"3p\", x.shape)\n", "\n", "# 3dz2\n", "x, z = sample(OA3dz2, ntry=15000000, rmax=15)\n", "axes[2, 0].scatter(x, z, s=4, color=\"C7\")\n", "axes[2, 0].set_aspect(\"equal\")\n", "theta0 = np.arccos(np.sqrt(1/3))\n", "axes[2, 0].plot(\n", " (-lim * np.sin(theta0), lim * np.sin(theta0)), \n", " (-lim * np.cos(theta0), lim * np.cos(theta0)), \n", " color=co, lw=.5\n", ")\n", "axes[2, 0].plot(\n", " (-lim * np.sin(theta0), lim * np.sin(theta0)), \n", " (lim * np.cos(theta0), -lim * np.cos(theta0)), \n", " color=co, lw=.5\n", ")\n", "axes[2, 0].text(10, 10, \"$3d_{z^2}$\", fontsize=16)\n", "print(\"3d\", x.shape)\n", "\n", "# 4fz3\n", "x, z = sample(OA4fz3, ntry=40000000, rmax=15)\n", "axes[2, 1].scatter(x, z, s=4, color=\"C7\")\n", "axes[2, 1].set_aspect(\"equal\")\n", "theta0 = np.arccos(np.sqrt(3/5))\n", "axes[2, 1].plot(\n", " (-lim * np.sin(theta0), lim * np.sin(theta0)), \n", " (-lim * np.cos(theta0), lim * np.cos(theta0)), \n", " color=co, lw=.5\n", ")\n", "axes[2, 1].plot(\n", " (-lim * np.sin(theta0), lim * np.sin(theta0)), \n", " (lim * np.cos(theta0), -lim * np.cos(theta0)), \n", " color=co, lw=.5\n", ")\n", "axes[2, 1].plot((-lim, lim), (0, 0), color=co, lw=.5)\n", "axes[2, 1].text(10, 10, \"$4f_{z^3}$\", fontsize=16)\n", "print(\"4f\", x.shape)\n", "\n", "# layout\n", "axes[1, 1].set_xlim((-14, 14))\n", "axes[1, 1].set_ylim((-14, 14))\n", "axes[0, 0].set_ylabel(\"z / $\\AA$\", fontsize=14)\n", "axes[1, 0].set_ylabel(\"z / $\\AA$\", fontsize=14)\n", "axes[2, 0].set_ylabel(\"z / $\\AA$\", fontsize=14)\n", "axes[2, 0].set_xlabel(\"x / $\\AA$\", fontsize=14)\n", "axes[2, 1].set_xlabel(\"x / $\\AA$\", fontsize=14)\n", "\n", "fig.suptitle(\"Densité électronique des orbitales atomique\", fontsize=18, y=.92)\n", "fig.savefig(\"AO_densite_electronique.pdf\", bbox_inches=\"tight\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 1 }