{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 光电效应法测定普朗克常量\n", "\n", "> [@Maxwell Jay](https://github.com/MaxwellJay256), 2024.4.12\n", "\n", "### 程序说明\n", "\n", "#### 最小二乘法\n", "\n", "本程序通过最小二乘法从 $U_c$ 和 $\\nu$ 的关系中拟合出普朗克常量 $h$,并计算其与普朗克常量标准值 $h_0$ 的相对误差。\n", "共有 3 组实验数据(3 种光阑孔直径),每组分别进行一次拟合。\n", "最后会对 3 次实验测得的普朗克常量取一次平均值,并计算相对误差。\n", "\n", "#### 作图法\n", "\n", "本程序会将数据点和拟合直线绘制在同一张图上。\n", "3 组实验会分别生成 3 张图片,图片保存在当前目录下。\n", "\n", "### 使用方法\n", "\n", "1. 将实验的原始数据记录按如下格式填入该目录下的 [`data.csv`](./data.csv) 文件。\n", "\n", "| 光阑孔直径 | $\\lambda$ = 365.0 nm | 404.7 nm | 435.8 nm | 546.1 nm | 577.0 nm |\n", "| :---------: | :------------------: | :------: | :------: | :------: | :------: |\n", "| 2 mm | | | | | |\n", "| 4 mm | | | | | |\n", "| 8 mm | | | | | | \n", "\n", "2. 运行以下 Python 程序即可。计算结果会通过终端输出,生成的图片会保存在当前目录下。" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Planck constant: 6.62607015e-34\n", "Elementary charge: 1.602176634e-19\n", "2mm: k = -0.409, h = 6.549e-34, r = -0.988\n", "Error: -1.165%\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "4mm: k = -0.406, h = 6.504e-34, r = -0.988\n", "Error: -1.849%\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "8mm: k = -0.391, h = 6.261e-34, r = -0.987\n", "Error: -5.513%\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Average h: 6.438e-34, Error: -2.842%\n" ] } ], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "from scipy.constants import Planck, e # scipy 库中的普朗克常量和元电荷\n", "from scipy.stats import linregress # 线性回归函数\n", "print(f\"Planck constant: {Planck}\")\n", "print(f\"Elementary charge: {e}\")\n", "import csv\n", "\n", "def read_csv(fileName: str) -> list:\n", " '''\n", " 读取 csv 文件\n", " '''\n", " with open(fileName, 'r') as f:\n", " reader = csv.reader(f)\n", " data = list(reader)\n", " return data\n", "\n", "# 读取 data.csv\n", "fileName = 'data.csv'\n", "data = read_csv(fileName) # data 是一个二维列表,第 1 - 3 行分别是 2 mm, 4 mm, 8 mm 下测得的 5 组截止电压\n", "data = np.array(data, dtype=float) # 将 data 转换为 numpy 数组\n", "\n", "# 实验参数\n", "nu = [8.216, 7.410, 6.882, 5.492, 5.196] # 实验中使用的光频率,x10^14 Hz\n", "d = [2, 4, 8] # 光阑孔直径(mm)\n", "\n", "# x_avg = np.mean(nu) # nu 的平均值\n", "# x2_avg = np.mean(np.square(nu)) # nu^2 的平均值\n", "# y_avg = np.zeros(3) # Uc 的平均值\n", "# xy_avg = np.zeros(3) # Uc * nu 的平均值\n", "k = np.zeros(3) # Uc 与 nu 的斜率\n", "r = np.zeros(3) # 相关系数\n", "h = np.zeros(3) # 普朗克常数计算值\n", "for i in range(0, 3):\n", " # 1. 使用最小二乘法计算普朗克常数\n", " # 使用 np.polyfit 直接得到斜率,懒得手动计算最小二乘法的中间步骤了\n", " k[i] = np.polyfit(nu, data[i], 1)[0]\n", " r[i] = np.corrcoef(nu, data[i])[0, 1] # 计算相关系数\n", " # 以下是手动最小二乘法的步骤\n", " # y_avg[i] = np.mean(data[i])\n", " # xy_avg[i] = np.mean(np.multiply(nu, data[i]))\n", " # k[i] = (x_avg * y_avg[i] - xy_avg[i]) / (x_avg ** 2 - x2_avg)\n", " # r[i] = (xy_avg[i] - x_avg * y_avg[i]) / np.sqrt((x2_avg - x_avg ** 2) * (np.mean(np.square(data[i])) - y_avg[i] ** 2))\n", " h[i] = - k[i] * e * (10 ** -14)\n", " print(f\"{d[i]}mm: k = {k[i]:.3f}, h = {h[i]:.3e}, r = {r[i]:.3f}\")\n", " error = (h[i] - Planck) / Planck * 100 # 计算相对误差\n", " print(f\"Error: {error:.3f}%\")\n", "\n", " # 2. 使用作图法计算普朗克常数\n", " plt.figure()\n", " plt.plot(nu, data[i], 'ro')\n", " plt.xlabel('$\\\\nu$ ($\\\\times 10^{14}$ Hz)')\n", " plt.ylabel('$U_c$ (V)')\n", " slope, intercept, r_value, p_value, std_err = linregress(nu, data[i]) # 用 linregress 拟合直线\n", " x = np.linspace(5, 9, 100)\n", " y = slope * x + intercept\n", " plt.plot(x, y)\n", " plt.title(f\"{d[i]} mm\")\n", " plt.savefig(f\"{d[i]}mm.png\")\n", " plt.show()\n", "\n", "# 取 3 次实验的普朗克常数平均值\n", "h_avg = np.mean(h)\n", "error = (h_avg - Planck) / Planck * 100\n", "print(f\"Average h: {h_avg:.3e}, Error: {error:.3f}%\")\n" ] } ], "metadata": { "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": "3.12.1" } }, "nbformat": 4, "nbformat_minor": 2 }