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b/statics/physics/modern-phys-lab/counting/40-2.csv @@ -0,0 +1,1049 @@ +Spectrum Name: +Description: +Student ID: +Detector Used: +Comments: +Acquisition Mode:,MCS Internal +High Voltage:,650 +Conversion Gain:,1024 +Coarse Gain:,1 +Fine Gain:,1.73 +Upper Discriminator:,731 +Lower Discriminator:,591 +Calibration Coefficients:Elapsed Real Time:,0.0 +Elapsed Live Time:,0.0 +Start Time:,February 17, 2025, 03:09:06 +End Time:,February 17, 2025, 03:09:47 +ROIs: +ROI:,Low,High,Gross,Net,FWHM,Centroid + +1,36,38,168,12,0,37 +2,96,206,5336,-215,0,151 +3,299,300,94,-2,0,299 + +Channel Data: +Channel,Energy,Counts +0,,50 +1,,47 +2,,48 +3,,39 +4,,43 +5,,43 +6,,45 +7,,43 +8,,52 +9,,57 +10,,71 +11,,59 +12,,40 +13,,42 +14,,46 +15,,47 +16,,46 +17,,45 +18,,53 +19,,46 +20,,53 +21,,56 +22,,54 +23,,49 +24,,52 +25,,47 +26,,53 +27,,40 +28,,39 +29,,38 +30,,37 +31,,44 +32,,55 +33,,55 +34,,54 +35,,45 +36,,55 +37,,56 +38,,57 +39,,45 +40,,39 +41,,51 +42,,50 +43,,51 +44,,46 +45,,49 +46,,48 +47,,44 +48,,49 +49,,52 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np.array([int(line.split(',,')[1]) for line in lines]) + +all_data = { + '200': read_file('200'), + '100': read_file('100-1') + read_file('100-2'), + '40': sum([read_file(f'40-{i}') for i in range(1, 6)]) +} + +for time in all_data: + data = all_data[time] + + mean = np.mean(data) + print(f'Found sample mean {mean}') + + stdev = np.stdev(mean, ddof=1) \ No newline at end of file diff --git a/statics/physics/modern-phys-lab/diffraction.py b/statics/physics/modern-phys-lab/diffraction.py index cbd3efa..42e7a95 100644 --- a/statics/physics/modern-phys-lab/diffraction.py +++ b/statics/physics/modern-phys-lab/diffraction.py @@ -1,24 +1,23 @@ import numpy as np import matplotlib.pyplot as plt -# Current units: pixels -# Format: d[0 = small, 1 = large][voltage][0 = inner, 1 = outer] -diameter_measured = np.array([ - [[570, 646], [567, 725], [623, 750], [730, 866], [800, 962], [861, 1051]], - [[968, 1090], [1034, 1147], [1036, 1183], [1311, 1461], [1405, 1624], [1476, 1600]] -]) -diameter_error = 100 - +# Units: V voltages = np.array(np.arange(5000, 2500 - 1, -500)) #-1 to include 2500 voltages_inv_sqrt = 1 / np.sqrt(voltages) # New units: m -diameter_measured = diameter_measured / 19440 -diameter_measured_error = 100 / 19440 +diameter_measured_error = 0.02 # Average inner and outer # New format: d[0 = small, 1 = large][voltage] -diameter_measured = np.average(diameter_measured, axis=2) +diameter_measured = np.array([ + [0.0, 0.024, 0.022, 0.019, 0.02], + [0.0, 0.04, 0.0385, 0.036, 0.035] +]) + +diameter_error = 100 +print(diameter_measured[0][4]) + # Find actual diameter L = 138 / 1000 @@ -40,19 +39,28 @@ for size in range(len(diameter_measured)): # Trendlines line = np.polynomial.Polynomial.fit(voltages_inv_sqrt, diameter_measured[size], deg=1) - ax.plot(voltages_inv_sqrt, line(voltages_inv_sqrt), label='Trendline', linestyle='--', color='purple') + ax.plot(voltages_inv_sqrt, line(voltages_inv_sqrt), label=f'Trendline', linestyle='--', color='purple') ax.legend() + # D_E + d = (0.123 if size == 1 else 0.213) * 10**(-9) + + # error + delta = sum(1 / diameter_actual_error[size]**2) * sum((voltages_inv_sqrt ** 2) / (diameter_actual_error[size] ** 2)) - sum(voltages_inv_sqrt / (diameter_actual_error[size] ** 2))**2 + slope_error = np.sqrt((1 / delta) * sum(1 / diameter_actual_error[size]**2)) + + alpha = np.sqrt(2) * L * (6.63 * 10**(-34)) / (d * np.sqrt((9.1093837 * 10**(-31)) * (1.60217663 * 10**(-19)))) + ax=axs[size][1] ax.set_xlabel(r'$1/\sqrt{U_0}$') ax.set_ylabel(f'$D_E$ ({size_name}) (meters)') - ax.set_title(r'$1/\sqrt{U_0}$ ' + f'vs $D_E$ ({size_name})') + ax.set_title(r'$1/\sqrt{U_0}$ ' + f'vs $D_E$ ($\\alpha = {alpha:0.6f}$), ({size_name})') #ax.scatter(voltages_inv_sqrt, diameter_measured[size], label='Data') - ax.errorbar(voltages_inv_sqrt, diameter_actual[size], fmt='o', yerr=diameter_actual_error, capsize=5) + ax.errorbar(voltages_inv_sqrt, diameter_actual[size], fmt='o', yerr=diameter_actual_error[size], capsize=5) # Trendlines line = np.polynomial.Polynomial.fit(voltages_inv_sqrt, diameter_actual[size], deg=1) - ax.plot(voltages_inv_sqrt, line(voltages_inv_sqrt), label='Trendline', linestyle='--', color='purple') + ax.plot(voltages_inv_sqrt, line(voltages_inv_sqrt), label=f'Trendline {line.convert()} (err {slope_error:0.4f})', linestyle='--', color='purple') ax.legend() plt.show() \ No newline at end of file