{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 自洽场迭代流程\n", "\n", "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/bud-primordium/AtomSCF/blob/main/docs/source/tutorials/03-scf.ipynb)\n", "\n", "## 学习目标\n", "\n", "- 理解自洽场(SCF)循环的核心逻辑\n", "- 掌握密度泛函理论(DFT-LDA)的实现\n", "- 观察能量收敛过程并分析轨道能量\n", "\n", "## SCF 循环原理\n", "\n", "多电子体系的波函数通过迭代求解自洽方程:\n", "\n", "1. **初始猜测**:给定初始电子密度 $n_0(r)$\n", "2. **构造有效势**:$V_{\\mathrm{eff}}[n] = V_{\\mathrm{ext}} + V_{\\mathrm{H}}[n] + V_{\\mathrm{xc}}[n]$\n", "3. **求解轨道**:本征值问题得到新的波函数 $\\psi_i$\n", "4. **更新密度**:$n_{\\mathrm{new}} = \\sum_i f_i |\\psi_i|^2$\n", "5. **检查收敛**:若 $|E_{\\mathrm{new}} - E_{\\mathrm{old}}| < \\epsilon$,结束;否则混合密度后返回步骤 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 理论基础:自洽场迭代算法\n", "\n", "Kohn-Sham 方程的自洽求解流程:\n", "\n", "### 迭代步骤\n", "\n", "1. **初始化**:设定初始密度 $n^{(0)}(r)$(类氢猜测)\n", "2. **构造有效势**:\n", "\n", "$$V_{\\text{eff}}^{(k)}[n] = V_{\\text{ext}} + V_H[n^{(k)}] + V_{xc}[n^{(k)}]$$\n", "\n", "其中 Hartree 势:\n", "\n", "$$V_H(r) = \\int \\frac{n(r')}{|r-r'|}d^3r'$$\n", "\n", "3. **求解本征问题**:\n", "\n", "$$\\left[-\\frac{1}{2}\\nabla^2 + V_{\\text{eff}}^{(k)}\\right]\\psi_i = \\varepsilon_i\\psi_i$$\n", "\n", "4. **更新密度**:\n", "\n", "$$n^{(k+1)}(r) = \\sum_i f_i |\\psi_i(r)|^2$$\n", "\n", "5. **密度混合**(加速收敛):\n", "\n", "$$n^{(k+1)} \\leftarrow \\alpha n^{(k+1)} + (1-\\alpha)n^{(k)}$$\n", "\n", "6. **收敛判据**:$\\|n^{(k+1)} - n^{(k)}\\| < \\epsilon$ 或 $|E^{(k+1)} - E^{(k)}| < \\epsilon$\n", "\n", "**代码实现**:`run_lsda_pz81(cfg)` 函数执行完整 SCF 循环\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2025-12-04T04:13:20.671880Z", "iopub.status.busy": "2025-12-04T04:13:20.671578Z", "iopub.status.idle": "2025-12-04T04:13:20.678998Z", "shell.execute_reply": "2025-12-04T04:13:20.678888Z" } }, "outputs": [], "source": [ "# 环境配置\n", "import sys\n", "\n", "if \"google.colab\" in sys.modules:\n", " !pip install -q git+https://github.com/bud-primordium/AtomSCF.git" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2025-12-04T04:13:20.683497Z", "iopub.status.busy": "2025-12-04T04:13:20.683400Z", "iopub.status.idle": "2025-12-04T04:13:38.711040Z", "shell.execute_reply": "2025-12-04T04:13:38.710909Z" } }, "outputs": [], "source": [ "# 配置中文字体(避免乱码)\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "\n", "# 跨平台中文字体配置\n", "matplotlib.rcParams['font.sans-serif'] = [\n", " 'Arial Unicode MS', # macOS\n", " 'WenQuanYi Micro Hei', # Linux\n", " 'SimHei', # Windows\n", " 'DejaVu Sans' # Fallback\n", "]\n", "matplotlib.rcParams['axes.unicode_minus'] = False\n", "\n", "# 清除字体缓存(重要!)\n", "try:\n", " import matplotlib.font_manager as fm\n", " fm._load_fontmanager(try_read_cache=False)\n", "except Exception:\n", " pass\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2025-12-04T04:13:38.716056Z", "iopub.status.busy": "2025-12-04T04:13:38.715971Z", "iopub.status.idle": "2025-12-04T04:13:38.889554Z", "shell.execute_reply": "2025-12-04T04:13:38.889445Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from atomscf.grid import radial_grid_linear\n", "from atomscf.scf import SCFConfig, run_lsda_pz81\n", "\n", "plt.style.use('seaborn-v0_8-darkgrid')\n", "plt.rcParams['figure.figsize'] = (12, 5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Al 原子自洽计算\n", "\n", "铝(Z=13)电子组态:1s² 2s² 2p⁶ 3s² 3p¹" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2025-12-04T04:13:38.894426Z", "iopub.status.busy": "2025-12-04T04:13:38.894344Z", "iopub.status.idle": "2025-12-04T04:13:38.899492Z", "shell.execute_reply": "2025-12-04T04:13:38.899425Z" } }, "outputs": [], "source": [ "# 生成网格\n", "r, w = radial_grid_linear(n=800, rmin=1e-5, rmax=30.0)\n", "\n", "# 配置 Al 原子(Z=13,自动使用 default_occupations)\n", "cfg = SCFConfig(\n", " Z=13,\n", " r=r,\n", " w=w,\n", " maxiter=50,\n", " tol=1e-6,\n", " mix_alpha=0.3, # 密度混合系数\n", " spin_mode=\"LSDA\", # 自旋极化\n", ")\n", "\n", "print(\"配置信息:\")\n", "print(f\" 原子: Al (Z={cfg.Z})\")\n", "print(f\" 网格点数: {len(r)}\")\n", "print(f\" 收敛阈值: {cfg.tol:.0e} Hartree\")\n", "print(f\" 自旋模式: {cfg.spin_mode}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 运行 LSDA-PZ81 自洽计算\n", "\n", "使用 Perdew-Zunger 1981 交换关联泛函:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2025-12-04T04:13:38.903989Z", "iopub.status.busy": "2025-12-04T04:13:38.903911Z", "iopub.status.idle": "2025-12-04T04:13:45.236327Z", "shell.execute_reply": "2025-12-04T04:13:45.236018Z" } }, "outputs": [], "source": [ "# 执行自洽计算\n", "result = run_lsda_pz81(cfg)\n", "\n", "print(\"\\n收敛结果:\")\n", "print(f\" 收敛状态: {'成功' if result.converged else '失败'}\")\n", "print(f\" 迭代次数: {result.iterations}\")\n", "\n", "# 安全访问能量(可能为 None)\n", "E_total = result.energies.get('E_total', 0.0) if result.energies else 0.0\n", "E_kin = result.energies.get('E_kin', 0.0) if result.energies else 0.0\n", "\n", "print(f\" 总能量: {E_total:.6f} Hartree\")\n", "print(f\" 总能量: {E_total * 27.211:.3f} eV\")\n", "\n", "print(\"\\n能量分解:\")\n", "print(f\" 动能: {E_kin:.6f} Ha\")\n", "print(f\" 外势能: {result.energies.get('E_ext', 0.0) if result.energies else 0.0:.6f} Ha\")\n", "print(f\" Hartree 能: {result.energies.get('E_H', 0.0) if result.energies else 0.0:.6f} Ha\")\n", "print(f\" 交换关联能: {result.energies.get('E_xc', 0.0) if result.energies else 0.0:.6f} Ha\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 轨道能量分析\n", "\n", "输出所有占据轨道的本征能量:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2025-12-04T04:13:45.247841Z", "iopub.status.busy": "2025-12-04T04:13:45.247700Z", "iopub.status.idle": "2025-12-04T04:13:45.255472Z", "shell.execute_reply": "2025-12-04T04:13:45.255370Z" } }, "outputs": [], "source": [ "from atomscf.occupations import default_occupations\n", "\n", "# 获取 Al 的默认占据配置\n", "occ_specs = default_occupations(cfg.Z)\n", "\n", "print(\"轨道能量 (Hartree):\")\n", "print(\"\\nl 轨道 占据数 能量 (Ha) 能量 (eV)\")\n", "print(\"-\" * 55)\n", "\n", "for spec in occ_specs:\n", " l = spec.l\n", " n_idx = spec.n_index\n", " spin = spec.spin\n", " occ = spec.f_per_m * (2 * l + 1) # 总占据数\n", " \n", " # 获取对应的能量(使用字符串 \"up\" 或 \"down\")\n", " energies_l_spin = result.eps_by_l_sigma.get((l, spin), [])\n", " \n", " if n_idx < len(energies_l_spin):\n", " eps = energies_l_spin[n_idx]\n", " label = spec.label if hasattr(spec, 'label') else f\"{n_idx+1}{'spdf'[l]}\"\n", " print(f\"{l} {label:6s} {occ:>5.1f} {eps:>10.6f} {eps*27.211:>10.3f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 电子密度可视化\n", "\n", "绘制总电子密度分布:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2025-12-04T04:13:45.260245Z", "iopub.status.busy": "2025-12-04T04:13:45.260153Z", "iopub.status.idle": "2025-12-04T04:13:45.683650Z", "shell.execute_reply": "2025-12-04T04:13:45.683546Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 5))\n", "\n", "# 左图:总密度(线性刻度)\n", "n_total = result.n_up + result.n_dn\n", "ax1.plot(r, n_total, 'b-', linewidth=2)\n", "ax1.fill_between(r, 0, n_total, alpha=0.2)\n", "ax1.set_xlabel('r (Bohr)', fontsize=12)\n", "ax1.set_ylabel('n(r) (1/Bohr³)', fontsize=12)\n", "ax1.set_title('总电子密度分布', fontsize=14)\n", "ax1.set_xlim(0, 2)\n", "ax1.grid(alpha=0.3)\n", "\n", "# 右图:总密度(对数刻度)\n", "ax2.semilogy(r, n_total + 1e-12, 'b-', linewidth=2)\n", "ax2.set_xlabel('r (Bohr)', fontsize=12)\n", "ax2.set_ylabel('n(r) (1/Bohr³)', fontsize=12)\n", "ax2.set_title('总电子密度分布(对数刻度)', fontsize=14)\n", "ax2.set_xlim(0, 2)\n", "ax2.grid(alpha=0.3, which='both')\n", "\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# 验证总电子数\n", "N_total = np.sum(n_total * w * 4 * np.pi * r**2)\n", "print(f\"\\n电子数积分: {N_total:.2f} (理论值: 13)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 占据轨道波函数\n", "\n", "可视化所有占据轨道:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2025-12-04T04:13:45.721709Z", "iopub.status.busy": "2025-12-04T04:13:45.721586Z", "iopub.status.idle": "2025-12-04T04:13:46.013199Z", "shell.execute_reply": "2025-12-04T04:13:46.013060Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n", "\n", "# 获取占据配置\n", "occ_specs = default_occupations(cfg.Z)\n", "\n", "# 分组:s 和 p 轨道\n", "s_orbitals = [spec for spec in occ_specs if spec.l == 0]\n", "p_orbitals = [spec for spec in occ_specs if spec.l == 1]\n", "\n", "# s 轨道\n", "ax = axes[0]\n", "for spec in s_orbitals:\n", " u_list = result.u_by_l_sigma.get((spec.l, spec.spin), [])\n", " if spec.n_index < len(u_list):\n", " u = u_list[spec.n_index]\n", " occ = spec.f_per_m * (2 * spec.l + 1)\n", " label = f\"{spec.n_index+1}s_{spec.spin} (occ={occ:.1f})\"\n", " ax.plot(r, u, label=label, linewidth=2)\n", "\n", "ax.set_xlabel('r (Bohr)', fontsize=11)\n", "ax.set_ylabel('u(r)', fontsize=11)\n", "ax.set_title('s 轨道波函数', fontsize=12)\n", "ax.set_xlim(0, 8)\n", "ax.legend(fontsize=9)\n", "ax.grid(alpha=0.3)\n", "\n", "# p 轨道\n", "ax = axes[1]\n", "for spec in p_orbitals:\n", " u_list = result.u_by_l_sigma.get((spec.l, spec.spin), [])\n", " if spec.n_index < len(u_list):\n", " u = u_list[spec.n_index]\n", " occ = spec.f_per_m * (2 * spec.l + 1)\n", " label = f\"{spec.n_index+1}p_{spec.spin} (occ={occ:.1f})\"\n", " ax.plot(r, u, label=label, linewidth=2)\n", "\n", "ax.set_xlabel('r (Bohr)', fontsize=11)\n", "ax.set_ylabel('u(r)', fontsize=11)\n", "ax.set_title('p 轨道波函数', fontsize=12)\n", "ax.set_xlim(0, 10)\n", "ax.legend(fontsize=9)\n", "ax.grid(alpha=0.3)\n", "\n", "# 所有轨道叠加\n", "ax = axes[2]\n", "for spec in occ_specs:\n", " u_list = result.u_by_l_sigma.get((spec.l, spec.spin), [])\n", " if spec.n_index < len(u_list):\n", " u = u_list[spec.n_index]\n", " label = f\"{spec.n_index+1}{'spdf'[spec.l]}_{spec.spin}\"\n", " linestyle = '-' if spec.l == 0 else '--'\n", " ax.plot(r, u, label=label, linewidth=1.5, linestyle=linestyle)\n", "\n", "ax.set_xlabel('r (Bohr)', fontsize=11)\n", "ax.set_ylabel('u(r)', fontsize=11)\n", "ax.set_title('所有轨道叠加', fontsize=12)\n", "ax.set_xlim(0, 10)\n", "ax.legend(fontsize=8, ncol=2)\n", "ax.grid(alpha=0.3)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SCF 收敛特性\n", "\n", "自洽迭代的收敛速度取决于:\n", "- 密度混合系数 `mix_alpha`(0.2-0.5 较稳定)\n", "- 初始猜测质量(类氢轨道 vs Thomas-Fermi)\n", "- 系统复杂度(电子数、开壳层程度)\n", "\n", "典型迭代次数:\n", "- 轻元素(He, Li):5-15 次\n", "- 中等元素(Al, Si):10-25 次\n", "- 开壳层体系:15-40 次\n", "\n", "## 下一步\n", "\n", "- **[04-hartree-fock.ipynb](04-hartree-fock.ipynb)**:学习 HF 方法的显式交换积分\n", "- **[05-dft-xc.ipynb](05-dft-xc.ipynb)**:深入理解 LDA 交换关联泛函" ] } ], "metadata": { "kernelspec": { "display_name": "2-3 (3.11.11)", "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": "3.12.2" } }, "nbformat": 4, "nbformat_minor": 4 }