Difference: 20170308_MSciSpectroscopyMeeting (3 vs. 4)

Revision 408 Mar 2017 - WilliamBurrows

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META TOPICPARENT name="StewartBoogertSpectroscopy2016"
$\sigma_0$ Error
  • $\chi^2$ equation used
Line: 8 to 8
 
  • Returned plot of gaussian fit with error bars:

Calib_Cd_0300.png
Calib_He_0400.png
  • Cadmim at micrometer setting of 03.00mm had $\chi^2$ value of 8541.6015 abd Helium at micrometer setting of 4.00 had a $\chi^2$ value of 88793.4233.
Deleted:
<
<

RMS Error

  • Fit-data difference as a function of intensity for G*C fits to lamp lines:
    Inensity_diff.png

  • RMS equation used:
\begin{equation} x_{\rm{rms}} = \sqrt{ \bigg( \frac{1}{N} \sum_{i = i}^{N} x_i^2 \bigg) } \end{equation}

  • RMS values of data in 20 bins of width 1003796 PE:
    RMS_diff.png

  • Form of the fit:
\begin{equation} f(x; C_1, C_0) = C_1x + C_0 \end{equation}

  • Fitted parameter values:
Parameter Value
$C_1$ 6.27E-03 $\pm$ 2.14E-03
$C_0$ 1.72E05 $\pm$ 2.48E04
 Convolutions

  • Gaussian equation:
Line: 57 to 36
 
$N_{\rm{DOF}}$ 115 114
$\chi^2 /$ $N_{\rm{DOF}}$ 1.18E04 3.98E03
Added:
>
>		RMS Error

  • Fit-data difference as a function of intensity for G*C fits to lamp lines:
    Inensity_diff.png

  • RMS equation used:
\begin{equation} x_{\rm{rms}} = \sqrt{ \bigg( \frac{1}{N} \sum_{i = i}^{N} x_i^2 \bigg) } \end{equation}

  • RMS values of data in 20 bins of width 1003796 PE:
    RMS_diff.png

  • Form of the fit:
\begin{equation} f(x; C_1, C_0) = C_1x + C_0 \end{equation}

  • Fitted parameter values:
Parameter Value
$C_1$ 6.27E-03 $\pm$ 2.14E-03
$C_0$ 1.72E05 $\pm$ 2.48E04

 -- WillBurrows - 07 Mar 2017
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META FILEATTACHMENT attachment="chivals.pdf" attr="" comment="shows values for all cadmium and helium data" date="1488959177" name="chivals.pdf" path="chivals.pdf" size="30690" user="zyvb137" version="1"
META FILEATTACHMENT attachment="Part_spec.pdf" attr="" comment="sigam0 for 60000 instead of 5000" date="1488959358" name="Part_spec.pdf" path="Part_spec.pdf" size="286063" user="zyvb137" version="1"
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META FILEATTACHMENT attachment="Postage_y_f.pdf" attr="" comment="'Postage stamp' plot of all y-fit differences" date="1488969037" name="Postage_y_f.pdf" path="Postage_y_f.pdf" size="54083" user="zyvb951" version="2"
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