Badboys/compton

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(List of Figures)
(List of Figures)
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== List of Figures ==
 
== List of Figures ==
  
Fig. 1 - Experimental Setup
+
'''Fig. 1''' - Experimental Setup
  
Fig. 2 - Compton Interaction
+
'''Fig. 2''' - Compton Interaction
  
Fig. 3 - Feynman Diagram of Compton Scattering
+
'''Fig. 3''' - Feynman Diagram of Compton Scattering
  
 
== Introduction ==
 
== Introduction ==

Revision as of 05:25, 3 April 2008

Compton Effect

Barrett Nibling, Adolfo Gomez, Micheal Bouchey

April 2, 2008


Contents

Abstract

The Compton effect is the decrease in energy of a gamma ray photon when it interacts with matter. In this experiment 137-Cs gamma rays, emitted at approximately 0.662 MeV, strike an aluminum rod to produce measurable differences in the recorded energy of scattered gamma rays. The set of procedures is designed to investigate the experimental techniques used to measure the effects of Compton scattering. Using a NaI(T1), photomultiplier tube, ADC/MCA system, and a goniometer - data was collected at various incident angles. Calculated results agree with measured results within an accepted error value of XXXORALCOMPTONXXX.

List of Figures

Fig. 1 - Experimental Setup

Fig. 2 - Compton Interaction

Fig. 3 - Feynman Diagram of Compton Scattering

Introduction

intro here

Theory

Theory here

Example Math:


 Sin(\theta_{inc})+ Sin(\theta_{diff})=\frac{m \lambda}{d}
,



 Sin(\theta_{diff})=\frac{m \lambda}{d}.


\lambda = \frac{d Sin(\theta_{diff})}{m}.

Procedure

procedure here



Example Image:

Spectroscopy2.jpg

Schematic of Spectroscopy Apparatus

Results

Data here

Results 1

Example Table

The First Order Spectrum:

Helium, d=1/600mm, m=1
Color θdiff (degrees) λ (nm) Error (nm) Published λ (nm)
Purple 15.6 448.0 \pm2.0 447.148
Teal 16.4 470.3 \pm2.0 471.314
Green 17.2 492.6 \pm2.0 492.193
Green 17.5 500.9 \pm2.0 501.567
Yellow//Orange 20.7 588.8 \pm2.0 587.562
Red 23.6 666.9 \pm2.0 667.815
Dim Red 25.1 706.7 \pm1.9 ???

Results 2

Error Analysis

For the error analysis, there are two variable associated with an error, θd and θi.

The partial errors for each of the variable are calculated from the formulas


\frac{\delta \lambda}{\delta \theta_{d}}=\frac{d}{m}Cos(\theta_{d})Sin({\delta \theta_{d}}),

and,


\frac{\delta \lambda}{\delta \theta_{i}}=\frac{d}{m}Cos(\theta_{i}) Sin({\delta \theta_{i}}).

Then the total error is the sum of the two partial derivatives added in quadrature,


\delta \lambda=\frac{d}{m} \sqrt{(\frac{\delta \lambda}{\delta \theta_{i}})^{2}+(\frac{\delta \lambda}{\delta \theta_{d}})^{2}}.

The values for δθd and δθi used are half the value of the smallest unit of measure on the device, .05 degrees.

Conclusion

conclusion here

References

[1]

[2]

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