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Diffstat (limited to 'tutorials/module_4/Spectroscopy problem.md')
| -rw-r--r-- | tutorials/module_4/Spectroscopy problem.md | 83 |
1 files changed, 25 insertions, 58 deletions
diff --git a/tutorials/module_4/Spectroscopy problem.md b/tutorials/module_4/Spectroscopy problem.md index 18feeb9..5252d46 100644 --- a/tutorials/module_4/Spectroscopy problem.md +++ b/tutorials/module_4/Spectroscopy problem.md @@ -101,12 +101,34 @@ $$ $$ - Solve for C1 C2 and C3, use $I=195.54$ + +Well-known/defined Hg lines: + +Wavelengths [nm] +365.015 +435.833 +546.074 +576.960 +579.006 + + + +| Pixel peak | Wavelength (Literature) | +| ---------- | ----------------------- | +| | | + + + + + + Calibrate the y-axis +- Using Tungsten (W) - Find the response function of the spectrometer $$ R(\lambda)=\frac{I_{measured}}{I_{true}} $$ -- $I_{measured}$ => Intensity array from Mercury (Hg) +- $I_{measured}$ => Intensity array from Tungsten (W) - $I_{true}$ => Data from tungsten lamp using planks law of radiation $$ I_{\lambda,\Omega}(T)= \epsilon (\frac{2hc^2}{\lambda^5}\frac{1}{e^{hc/kT}-1}) @@ -124,7 +146,7 @@ I_{meas}^{plasma}(\lambda) = \frac{I_{meas}^{W}(\lambda)}{I_{true}^{W}(\lambda)} $$ - Measure the densities of an excited state of oxygen using $I(\lambda)$ +Measure the densities of an excited state of oxygen using $I(\lambda)$ $$ I(\lambda)=\frac{1}{4\pi}hvAnl\phi(\lambda-\lambda_0) $$ @@ -133,59 +155,4 @@ $$ n_{1,2}=\frac{\int_{\lambda_0-\Delta\lambda}^{\lambda_0+\Delta\lambda} I(\lambda)d\lambda}{\frac{1}{4\pi}hv_{1,2}A_{1,2}l}\tag{1} $$ - - -||Intensity||||Air <br>Wavelength (Å)||||Spectrum||||Reference|| -|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---| -|| | | | | | | | | | | | | | | | -|||||||||||||||| -|20|2026.860|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|400 [P](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable4.htm#2052.828)|2052.828|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|20|2224.711|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|10|2252.786|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|60|2260.294|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|400 [P](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable4.htm#2262.223)|2262.223|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|10|2263.634|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|1000 [P](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable3.htm#2536.517),c|2536.517|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|25|2652.039|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|40|2653.679|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|400 [P](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable4.htm#2847.675)|2847.675|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|30|2916.250|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|25|2947.074|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|250 [P](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable3.htm#2967.280)|2967.280|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|70|3021.498|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|90|3125.668|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|80|3131.548|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|80|3131.839|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|12|3208.169|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|10|3532.594|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|10|3605.762|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|600 [P](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable3.htm#3650.153)|3650.153|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|70|3654.836|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|50|3663.279|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|1000 [P](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable4.htm#3983.931),c|3983.931|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|400 [P](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable3.htm#4046.563)|4046.563|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|60|4339.223|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|100|4347.494|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|1000 [P](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable3.htm#4358.328)|4358.328|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|12 c|5128.442|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|15|5204.768|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|80 [P](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable4.htm#5425.253)|5425.253|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|500 [P](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable3.htm#5460.735)|5460.735|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|200 [P](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable4.htm#5677.105)|5677.105|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|50|5769.598|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|60|5790.663|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|12|5871.279|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|20 c|5888.939|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|15|6146.435|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|250 [P](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable4.htm#6149.475),c|6149.475|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|25|7081.90|Hg I|[F54](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#F54)| -|6|7346.508|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|250 [P](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable4.htm#7944.555)|7944.555|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|6 h|9520.198|Hg II|[SR01](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#SR01)| -|200 [P](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable3.htm#10139.76)|10139.76|Hg I|[BAL50](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#BAL50)| -|50|13570.21|Hg I|[H53](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#H53)| -|40|13673.51|Hg I|[H53](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#H53)| -|50|15295.82|Hg I|[H53](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#H53)| -|50|17072.79|Hg I|[H53](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#H53)| -|25|23253.07|Hg I|[PBT55](https://www.physics.nist.gov/PhysRefData/Handbook/Tables/mercurytable7.htm#PBT55)|
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