diff --git a/LabAvanzado1/EfectoFotoelectrico/code/fotoelectrico.ipynb b/LabAvanzado1/EfectoFotoelectrico/code/fotoelectrico.ipynb index 7930dcbb25e1118fca5bf27785fe8bef24fd2672..5a57e406f9d1b18373dbee70f05a0c25c123a42c 100644 --- a/LabAvanzado1/EfectoFotoelectrico/code/fotoelectrico.ipynb +++ b/LabAvanzado1/EfectoFotoelectrico/code/fotoelectrico.ipynb @@ -4,22 +4,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Efecto Fotoelectrico" + "# Efecto Fotoelectrico\n" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 31, "metadata": {}, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "C:\\Users\\nicom\\AppData\\Local\\Temp\\ipykernel_2784\\3256740604.py:20: FutureWarning: Dropping of nuisance columns in DataFrame reductions (with 'numeric_only=None') is deprecated; in a future version this will raise TypeError. Select only valid columns before calling the reduction.\n", - " datos['U'] = datos[['U1', 'U2', 'U3', 'U4', 'U5']].mean(axis=1)\n" - ] - }, { "data": { "text/html": [ @@ -54,61 +46,49 @@ " <tbody>\n", " <tr>\n", " <th>0</th>\n", - " <td>578</td>\n", - " <td>0.227</td>\n", - " <td>0.231</td>\n", - " <td>0.221</td>\n", - " <td>0.220</td>\n", - " <td>0.210</td>\n", - " <td>0.2220</td>\n", - " <td>518685.121107</td>\n", - " </tr>\n", - " <tr>\n", - " <th>1</th>\n", - " <td>436</td>\n", - " <td>0.197</td>\n", - " <td>0.200</td>\n", - " <td>0.199</td>\n", - " <td>0.202</td>\n", - " <td>0.197</td>\n", - " <td>0.1990</td>\n", - " <td>687614.678899</td>\n", + " <td>405</td>\n", + " <td>1.334</td>\n", + " <td>1.318</td>\n", + " <td>1.265</td>\n", + " <td>1.320</td>\n", + " <td>1.325</td>\n", + " <td>1.3124</td>\n", + " <td>7.402469e+14</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>546</td>\n", - " <td>0.197</td>\n", - " <td>0.202</td>\n", - " <td></td>\n", - " <td>NaN</td>\n", - " <td>NaN</td>\n", - " <td>0.1995</td>\n", - " <td>549084.249084</td>\n", + " <td>0.729</td>\n", + " <td>0.731</td>\n", + " <td>0.721</td>\n", + " <td>0.725</td>\n", + " <td>0.741</td>\n", + " <td>0.7294</td>\n", + " <td>5.490842e+14</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", - " <td>405</td>\n", - " <td>NaN</td>\n", - " <td>NaN</td>\n", - " <td>NaN</td>\n", - " <td>NaN</td>\n", - " <td>NaN</td>\n", - " <td>NaN</td>\n", - " <td>740246.913580</td>\n", + " <td>578</td>\n", + " <td>0.565</td>\n", + " <td>0.563</td>\n", + " <td>0.559</td>\n", + " <td>0.560</td>\n", + " <td>0.560</td>\n", + " <td>0.5614</td>\n", + " <td>5.186851e+14</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ - " lambda U1 U2 U3 U4 U5 U f\n", - "0 578 0.227 0.231 0.221 0.220 0.210 0.2220 518685.121107\n", - "1 436 0.197 0.200 0.199 0.202 0.197 0.1990 687614.678899\n", - "2 546 0.197 0.202 NaN NaN 0.1995 549084.249084\n", - "3 405 NaN NaN NaN NaN NaN NaN 740246.913580" + " lambda U1 U2 U3 U4 U5 U f\n", + "0 405 1.334 1.318 1.265 1.320 1.325 1.3124 7.402469e+14\n", + "2 546 0.729 0.731 0.721 0.725 0.741 0.7294 5.490842e+14\n", + "3 578 0.565 0.563 0.559 0.560 0.560 0.5614 5.186851e+14" ] }, - "execution_count": 17, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } @@ -122,6 +102,9 @@ "# Cargamos los datos\n", "datos = pd.read_csv('../data/datos.csv', usecols=[0,1,2,3,4,5])\n", "\n", + "# Quitamos la tercera fila\n", + "datos = datos.drop(1)\n", + "\n", "# Definimos constantes\n", "h = 6.626e-34 # Constante de Planck\n", "dh = 0.001e-34 # Incertidumbre de la constante de Planck\n", @@ -131,40 +114,156 @@ "dc = 0.001e8 # Incertidumbre de la velocidad de la luz\n", "dU = 0.001 # Incertidumbre de la diferencia de potencial\n", "dL = 1e-9 # Incertidumbre de la longitud de onda\n", + "W = 2.3 # Trabajo de extracción del sodio en eV\n", + "W = W * e # Trabajo de extracción del sodio en J\n", "\n", "# Agregamos el promedio\n", "datos['U'] = datos[['U1', 'U2', 'U3', 'U4', 'U5']].mean(axis=1)\n", "\n", "# Calculamos la frecuencia a partir de lambda\n", - "datos['f'] = c / datos['lambda']\n", + "datos['f'] = c / (datos['lambda']*1e-9)\n", "\n", "datos.head()" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 26, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "La pendiente es 3.27e-15 J·s\n", + "El error respecto a la constante de Planck es -20.97\n" + ] } ], "source": [ + "# Realizamos un ajuste lineal del potencial en función de la frecuencia\n", + "m, b = np.polyfit(datos['f'], datos['U'], 1)\n", + "# dm = np.sqrt(np.sum((datos['U'] - m*datos['f'] - b)**2) / (len(datos) - 2) / np.sum((datos['f'] - datos['f'].mean())**2))\n", + "\n", "# Graficamos el potencial en función de la frecuencia\n", "plt.errorbar(datos['f'], datos['U'], xerr=c/datos['lambda']**2*dL, yerr=dU, fmt='o')\n", + "plt.plot(datos['f'], m*datos['f'] + b, label='Ajuste lineal')\n", "plt.xlabel('Frecuencia (Hz)')\n", "plt.ylabel('Potencial (V)')\n", "plt.title('Potencial en función de la frecuencia')\n", "plt.grid()\n", - "plt.show()\n" + "plt.show()\n", + "\n", + "# Calculamos el error de la pendiente respecto a la constante de Planck\n", + "error_m = (e*m - h)/h*100\n", + "print(f'La pendiente es {m:.2e} J·s')\n", + "print(f'El error respecto a la constante de Planck es {error_m:.2f}')" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-1.7659727449092632e-19" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "El intercepto es -1.77e-19 J\n", + "El error respecto al valor reportado es 52.07\n" + ] + } + ], + "source": [ + "# EnergÃa cinetica de los electrones en funcion de la frecuencia\n", + "datos['K'] = e*datos['U']\n", + "\n", + "# Realizamos un ajuste lineal de la energÃa cinetica en función de la frecuencia\n", + "m, b = np.polyfit(datos['f'], datos['K'], 1)\n", + "# dm = np.sqrt(np.sum((datos['K'] - m*datos['f'] - b)**2) / (len(datos) - 2) / np.sum((datos['f'] - datos['f'].mean())**2))\n", + "\n", + "# Graficamos la energÃa cinetica en función de la frecuencia\n", + "plt.errorbar(datos['f'], datos['K'], xerr=c/datos['lambda']**2*dL, yerr=de, fmt='o')\n", + "plt.plot(datos['f'], m*datos['f'] + b, label='Ajuste lineal')\n", + "plt.xlabel('Frecuencia (Hz)')\n", + "plt.ylabel('EnergÃa cinética (J)')\n", + "plt.title('EnergÃa cinética en función de la frecuencia')\n", + "plt.grid()\n", + "plt.show()\n", + "\n", + "# Calculamos el error del intercepto (funcion trabajo) respecto al valor reportado \n", + "error_b = (W + b)/W*100\n", + "print(f'El intercepto es {b:.2e} J')\n", + "print(f'El error respecto al valor reportado es {error_b:.2f}')" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Graficamos la linea ajustada y ponemos el punto de corte con el eje x y el punto (0,W)\n", + "plt.errorbar(datos['f'], datos['K'], xerr=c/datos['lambda']**2*dL, yerr=de, fmt='o')\n", + "plt.plot(datos['f'], m*datos['f'] + b, label='Ajuste lineal')\n", + "plt.plot([W,b], [0,0], \"o\", label='Punto de corte')\n", + "plt.xlabel('Frecuencia (Hz)')\n", + "plt.ylabel('EnergÃa cinética (J)')\n", + "plt.title('EnergÃa cinética en función de la frecuencia')\n", + "plt.grid()\n", + "plt.show()\n", + "\n" ] } ], diff --git a/LabAvanzado1/EfectoFotoelectrico/data/datos.csv b/LabAvanzado1/EfectoFotoelectrico/data/datos.csv index 2e008a7a02939c4ae8a69664b79d2103456c488a..e505f4bf9f3601861e4301b7d3b553023477c21f 100644 --- a/LabAvanzado1/EfectoFotoelectrico/data/datos.csv +++ b/LabAvanzado1/EfectoFotoelectrico/data/datos.csv @@ -1,5 +1,5 @@ -lambda,U1,U2,U3,U4,U5,t -578,0.227,0.231,0.221,0.220,0.210,4mins -436,0.197,0.200,0.199,0.202,0.197,3mins -546,0.197, 0.202, -405 \ No newline at end of file +lambda,U1,U2,U3,U4,U5 +405,1.334,1.318,1.265,1.320,1.325 +436,0.543,0.629,0.529,0.583,0.590 +546,0.729,0.731,0.721,0.725,0.741 +578,0.565,0.563,0.559,0.560,0.560 \ No newline at end of file