diff options
Diffstat (limited to 'tutorials')
| -rw-r--r-- | tutorials/module_4/Spectroscopy problem.md | 4 | ||||
| -rw-r--r-- | tutorials/module_4/spectroscopy_problem/spectroscopy.py | 27 |
2 files changed, 18 insertions, 13 deletions
diff --git a/tutorials/module_4/Spectroscopy problem.md b/tutorials/module_4/Spectroscopy problem.md index 5252d46..29d26f5 100644 --- a/tutorials/module_4/Spectroscopy problem.md +++ b/tutorials/module_4/Spectroscopy problem.md @@ -99,7 +99,7 @@ Calibrate wavelength by converting the length dimension from pixels to nm. $$ \lambda_p=I+C_1p+C_2p^2+C_3p^3 $$ -- Solve for C1 C2 and C3, use $I=195.54$ +- Solve for C1, C2 and C3, use $I=195.54$ Well-known/defined Hg lines: @@ -154,5 +154,3 @@ $$ $$ n_{1,2}=\frac{\int_{\lambda_0-\Delta\lambda}^{\lambda_0+\Delta\lambda} I(\lambda)d\lambda}{\frac{1}{4\pi}hv_{1,2}A_{1,2}l}\tag{1} $$ - -|
\ No newline at end of file diff --git a/tutorials/module_4/spectroscopy_problem/spectroscopy.py b/tutorials/module_4/spectroscopy_problem/spectroscopy.py index 404e5ca..1ef6579 100644 --- a/tutorials/module_4/spectroscopy_problem/spectroscopy.py +++ b/tutorials/module_4/spectroscopy_problem/spectroscopy.py @@ -15,7 +15,7 @@ Problem: - Interpolate and convert x-axis from pixels to nm (true wavelength) using Hg lamp data (using data in file: **Lampa_Calibrare_Mercur.xlsx**) - Find response function of the spectrometer using the tungsten lamp data from file: "**Calibrare Intensitate Oxigen.xlsx**)": $R=\frac{I_{measured}}{I_{true}}$ (where True is computed by Planck's law of radiation (see notes in the pptx above) - Convert y-axis from Intensity [a.u.] into Intensity in [W/(cm^2*sr*nm)] by dividing the measured Oxygen spectrum with the response function: $I_{oxygen, true}=\frac{I_{oxygen, measured}}{R}$ -- Once the spectra is in real units: compute the density of one of the oxygen lines by integrating underneath one of the peaks (see equation from Slide 39 - bottom). We will give all of the constants that are in this equation (see the "I**ntensity_Calibration_Oxygen_Discharge_Solution.xlsx**") +- Once the spectra is in real units: compute the density of one of the oxygen lines by integrating underneath one of the peaks (see equation from Slide 39 - bottom). We will give all of the constants that are in this equation (see the "Intensity_Calibration_Oxygen_Discharge_Solution.xlsx") """ import numpy as np @@ -118,7 +118,7 @@ I_Ox_measured = df_Ox['I_Plasma Oxygen [a.u.]']-df_Ox['I_Background [a.u.]'] I_Ox_true = R * I_Ox_measured -# Plot Hg intensity-wavelength plot +# Plot Hg spectra [a.u.] plot plt.figure(figsize=(8,5)) plt.plot(wavelength, I_Ox_measured, linestyle='-') plt.xlabel('Wavelength [$nm$]') @@ -128,7 +128,7 @@ plt.title('Wavelength-Intensity ($Ox_{measured}$)') plt.grid(True) plt.show() -# Plot Hg intensity-wavelength plot +# Plot Hg spectra real units plot plt.figure(figsize=(8,5)) plt.plot(wavelength, I_Ox_true, linestyle='-') plt.xlabel('Wavelength [$nm$]') @@ -141,17 +141,24 @@ plt.show() # %% Calculate Dencity of Ox at upper state -from scipy.interpolate import interp1d -from scipy.integrate import quad +from scipy.integrate import simpson -# Create an interpolated callable function -I_Ox_true = interp1d(wavelength, I_Ox_true, kind='linear', - fill_value=0, bounds_error=False) +I_Ox_true = I_Ox_true.to_numpy() -# Now integrate +# Integrate numerator delta = 1 peak = 846.5 bound_lower = peak - delta bound_upper = peak + delta -numerator, err = quad(I_Ox_true, bound_lower, bound_upper) +mask = (wavelength >= bound_lower) & (wavelength <= bound_upper) +wavelength_trimmed = wavelength[mask] +I_Ox_trimmed = I_Ox_true[mask] +numerator = simpson(I_Ox_trimmed, wavelength_trimmed) + +v = c/(peak*10**(-9)) +A = 3.6e6 # 1/s +l = 0.015 # m + +n = numerator / (1/(4*np.pi)*h*v*A*l) + |