diff --git a/AtomicPhysics/EmpiricalMass.ipynb b/AtomicPhysics/EmpiricalMass.ipynb index 7d649902755e1f45d34e025d7fb536c1093a0aa8..92b364542747aa1f533424ece927e7cd0b8c1889 100644 --- a/AtomicPhysics/EmpiricalMass.ipynb +++ b/AtomicPhysics/EmpiricalMass.ipynb @@ -21,7 +21,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -53,22 +53,22 @@ "\n", "# Hacemos una función para el Z donde la masa es mÃnima\n", "def Zmin(A):\n", - " return round((mn - mp + 4*a_a/c**2)/(2*a_c/(c**2*A**(1/3)) + 8*a_a/c**2/A))" + " return round((mn - mp + 4*a_a/c**2)/(2*a_c/(c**2*A**(1/3)) + 8*a_a/c**2/A),1)" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Para A = 16 el valor de Z es 8\n", - "Para A = 121 el valor de Z es 52\n", - "Para A = 122 el valor de Z es 52\n", - "Para A = 208 el valor de Z es 83\n" + "Para A = 16 el valor de Z es 7.7\n", + "Para A = 121 el valor de Z es 51.7\n", + "Para A = 122 el valor de Z es 52.1\n", + "Para A = 208 el valor de Z es 83.3\n" ] } ], diff --git a/LabAvanzado1/BlackBody/code/BlackBody.ipynb b/LabAvanzado1/BlackBody/code/BlackBody.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..21d59fadeb4e9239da9d23ad9fef8fa6b88c672e --- /dev/null +++ b/LabAvanzado1/BlackBody/code/BlackBody.ipynb @@ -0,0 +1,199 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Carga Especifica del Electrón" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": {}, + "outputs": [], + "source": [ + "# Importamos las librerias necesarias\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": {}, + "outputs": [], + "source": [ + "# Leemos los datos\n", + "blackbody = pd.read_excel('../data/parte1.ods')\n", + "lesliecube = pd.read_excel('../data/parte2.ods')\n", + "\n", + "# Pasamos la temperatura a Kelvin\n", + "blackbody['T'] = blackbody['T'] + 273.15\n", + "lesliecube['T'] = lesliecube['T'] + 273.15\n", + "\n", + "# Pasamos el potencial de volts a 1E-4 V\n", + "blackbody['V'] = blackbody['V'] * 1E-4\n", + "lesliecube['V'] = lesliecube['V'] * 1E-4\n", + "\n", + "# Separamos blackbody en subida (primeros 13) y bajada \n", + "blackbody_subida = blackbody[:13]\n", + "blackbody_bajada = blackbody[13:]\n", + "\n", + "# Definimos la temp ambiente\n", + "T_ambiente = 297.15 # K" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Black Body Boltzmann Law" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": {}, + "outputs": [], + "source": [ + "# Definimos una función teórica para la ley de Stefan-Boltzmann\n", + "def stefan_boltzmann(T):\n", + " sigma = 5.67e-8 # Constante de Stefan-Boltzmann en W/(m^2 K^4)\n", + " return sigma * T**4\n", + "\n", + "# Definimos una función para calcular el error porcentual\n", + "def error_porcentual(valor_real, valor_teorico):\n", + " return np.abs(valor_real - valor_teorico) / valor_teorico * 100\n", + "\n", + "# Definimos una función para calcular el error porcentual de la ley de Stefan-Boltzmann\n", + "def error_stefan_boltzmann(T, valor_real):\n", + " valor_teorico = stefan_boltzmann(T)\n", + " return error_porcentual(valor_real, valor_teorico)" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Resultado del ajuste lineal: V = 5.24e-15 (T^4 - T_amb^4) + -2.08e-05\n", + "Resultado del ajuste lineal: V = 4.84e-15 (T^4 - T_amb^4) + 3.08e-04\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 800x700 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Ajustamos la ley de Stefan-Boltzmann a los datos experimentales e imprimimos las estimaciones\n", + "ajuste_subida = np.polyfit(blackbody_subida['T']**4 - T_ambiente**4, blackbody_subida['V'], 1)\n", + "print('Resultado del ajuste lineal: V = {:.2e} (T^4 - T_amb^4) + {:.2e}'.format(ajuste_subida[0], ajuste_subida[1]))\n", + "ajuste_bajada = np.polyfit(blackbody_bajada['T']**4 - T_ambiente**4, blackbody_bajada['V'], 1)\n", + "print('Resultado del ajuste lineal: V = {:.2e} (T^4 - T_amb^4) + {:.2e}'.format(ajuste_bajada[0], ajuste_bajada[1]))\n", + "\n", + "# Graficamos potencial vs temperatura a la cuarta potencia\n", + "plt.figure(figsize=(8, 7))\n", + "plt.plot(blackbody_subida['T']**4 - T_ambiente**4, blackbody_subida['V'], 'o', label='Datos experimentales (subida)')\n", + "plt.plot(blackbody_bajada['T']**4 - T_ambiente**4, blackbody_bajada['V'], 'o', label='Datos experimentales (bajada)')\n", + "plt.plot(blackbody['T']**4 - T_ambiente**4, np.polyval(ajuste_subida, blackbody['T']**4-T_ambiente**4), label=r'Ajuste lineal (subida) $V = {:.2e} \\Delta T^4 + {:.2e}$'.format(ajuste_subida[0], ajuste_subida[1]))\n", + "plt.plot(blackbody['T']**4 - T_ambiente**4, np.polyval(ajuste_bajada, blackbody['T']**4-T_ambiente**4), label=r'Ajuste lineal (bajada) $V = {:.2e} \\Delta T^4 + {:.2e}$'.format(ajuste_bajada[0], ajuste_bajada[1]))\n", + "# plt.plot(blackbody['T']**4 - T_ambiente**4, blackbody['V'], 'o', label='Datos experimentales')\n", + "# plt.plot(blackbody['T']**4 - T_ambiente**4, np.polyval(ajuste, blackbody['T']**4-T_ambiente**4), label=r'Ajuste lineal $V = {:.2e} \\Delta T^4 + {:.2e}$'.format(ajuste[0], ajuste[1]))\n", + "# plt.plot(blackbody['T']**4 - T_ambiente**4, stefan_boltzmann(blackbody['T']), label='Ley de Stefan-Boltzmann')\n", + "plt.xlabel('Temperatura$^4$ - $T_0^4$ ($K^4$)')\n", + "plt.ylabel('Potencial (V)')\n", + "plt.title('Potencial vs Temperatura a la cuarta potencia')\n", + "plt.legend()\n", + "plt.grid()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Leslie's Cube" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Resultado del ajuste lineal (cara 1): V = 1.84e-13 (T^4 - T_amb^4) + 2.57e-04\n", + "Resultado del ajuste lineal (cara 2): V = 1.15e-14 (T^4 - T_amb^4) + 2.12e-04\n", + "Resultado del ajuste lineal (cara 3): V = 8.40e-14 (T^4 - T_amb^4) + 4.96e-05\n", + "Resultado del ajuste lineal (cara 4): V = 2.13e-13 (T^4 - T_amb^4) + 1.31e-05\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 800x700 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 7))\n", + "colores = ['b', 'g', 'r', 'c']\n", + "# Realizamos el proceso para cada una de las caras C={1,2,3,4}\n", + "for i in range(1, 5):\n", + " # Seleccionamos los datos correspondientes a la cara i\n", + " lesliecube_i = lesliecube[lesliecube['C'] == i]\n", + " # Ajustamos la ley de Stefan-Boltzmann a los datos experimentales e imprimimos las estimaciones\n", + " ajuste = np.polyfit(lesliecube_i['T']**4 - T_ambiente**4, lesliecube_i['V'], 1)\n", + " print('Resultado del ajuste lineal (cara {}): V = {:.2e} (T^4 - T_amb^4) + {:.2e}'.format(i, ajuste[0], ajuste[1]))\n", + " # Graficamos potencial vs temperatura a la cuarta potencia\n", + " plt.plot(lesliecube_i['T']**4 - T_ambiente**4, lesliecube_i['V'], 'o', color=colores[i-1])\n", + " plt.plot(lesliecube_i['T']**4 - T_ambiente**4, np.polyval(ajuste, lesliecube_i['T']**4-T_ambiente**4), label=r'Ajuste lineal (cara {}) $V = {:.2e} \\Delta T^4 + {:.2e}$'.format(i, ajuste[0], ajuste[1]), color=colores[i-1])\n", + " # plt.plot(lesliecube_i['T']**4 - T_ambiente**4, stefan_boltzmann(lesliecube_i['T']), label='Ley de Stefan-Boltzmann')\n", + "plt.xlabel('Temperatura$^4$ - $T_0^4$ ($K^4$)')\n", + "plt.ylabel('Potencial (V)')\n", + "plt.title('Potencial vs Temperatura a la cuarta potencia (Leslie cube)')\n", + "plt.legend()\n", + "plt.grid()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "SimpleLabs", + "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": "3.13.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/LabAvanzado1/BlackBody/data/parte1.ods b/LabAvanzado1/BlackBody/data/parte1.ods new file mode 100644 index 0000000000000000000000000000000000000000..56abf4189202213e2f31133baaac84c3dfd098d5 Binary files /dev/null and b/LabAvanzado1/BlackBody/data/parte1.ods differ diff --git a/LabAvanzado1/BlackBody/data/parte2.ods b/LabAvanzado1/BlackBody/data/parte2.ods new file mode 100644 index 0000000000000000000000000000000000000000..5241fc596e4a4c754f4d93f23f6a371d88055788 Binary files /dev/null and b/LabAvanzado1/BlackBody/data/parte2.ods differ diff --git a/SolidState/GraphenePhonons.ipynb b/SolidState/GraphenePhonons.ipynb index cb92a20c14d1e9f10503d5ef60776cf575d90ced..4dea90e2db5489eecb5cb02b7b5062ff3603cf3c 100644 --- a/SolidState/GraphenePhonons.ipynb +++ b/SolidState/GraphenePhonons.ipynb @@ -378,7 +378,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "base", "language": "python", "name": "python3" },