# Difference: 20170208_MsciSpectroscopyMeeting (10 vs. 11)

#### Revision 1108 Feb 2017 - JamesAngthopo

Line: 1 to 1

 META TOPICPARENT name="StewartBoogertSpectroscopy2016"
Error propagation
• Assumed the photoelectrons distribution is a p.d.f therefore assumed error on the number of photoelectrons to be
Changed:
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%BEGINLATEX% $$\sigma^2=\sqrt{N_{PE}}$$
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%BEGINLATEX% $$\sigma=\sqrt{N_{PE}}$$
%ENDLATEX%
• Plot showing the data and the gaussian fit for micrometer setting of 4.00mm and 6.00mm:
• Plot showing the error for Helium lamp at 6.0mm:

• The table shows the value, and the error on the location of the peak.
Changed:
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 micrometer setting (mm) PeakError
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 micrometer setting (mm) width on guassian

 1.3103e+06 764 2.44 847763 764 2.79
• Equation used for :
%BEGINLATEX%
Changed:
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\chi ^2=\sum_{n=1}^{N}\frac{(x_i-\mu)^2}{\sigma_i^2}
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\chi ^2=\sum_{n=1}^{N}\frac{(y_i-f(y_i;a,b,c))^2}{\sigma_i^2}
%ENDLATEX%
Changed:
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• Since the poisson distribution is assumed .
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• is the observed value, is the expected values, is the error.
• Since the poisson distribution is assumed where is the gaussian mean.

• Therefore if it is a poisson distribution, the equation below is true.
Line: 112 to 111

 META FILEATTACHMENT attachment="Vega_0290_LB.png" attr="" comment="Lorentzian + background fit to the peak in Vega, centered at 2.90mm" date="1486504541" name="Vega_0290_LB.png" path="Vega_0290_LB.png" size="67753" user="zyvb951" version="1" attachment="Vega_0290_LB_zoomed.png" attr="" comment="Lorentzian + background fit to the peak in Vega, centered at 2.90mm" date="1486504573" name="Vega_0290_LB_zoomed.png" path="Vega_0290_LB_zoomed.png" size="64577" user="zyvb951" version="1" attachment="latex03a997fac068f011fe898c85c33cec0b.png" attr="h" comment="" date="1486507121" name="latex03a997fac068f011fe898c85c33cec0b.png" user="zyvb137" version="1"
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Line: 120 to 118

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