# Difference between revisions of "Doppler Broadening"

(45 intermediate revisions by the same user not shown) | |||

Line 1: | Line 1: | ||

− | =Theory of | + | Spent fuel casket density: |

− | == Photon emmision along direction of fission fragment | + | |

+ | =Theory of Doppler Broadening= | ||

+ | == Photon emmision along direction of fission fragment velocity== | ||

<math>E_{shift} = E_{photon} \frac{1-\beta \cos(\theta_{photon}^i)}{\sqrt{1-\beta_i^2}}</math> = amount of energy the gamma ray was shifted by | <math>E_{shift} = E_{photon} \frac{1-\beta \cos(\theta_{photon}^i)}{\sqrt{1-\beta_i^2}}</math> = amount of energy the gamma ray was shifted by | ||

Line 18: | Line 20: | ||

'''Our Calculations'''<br> | '''Our Calculations'''<br> | ||

− | For example for energy E=2617 keV and the fragment velocity v=<math>10^9</math> cm/s(speed of light c=3x<math>10^{10}</math> cm/s, <math>\beta</math>=0.033)<br> | + | For example for energy E=2617 keV and the fragment velocity v=<math>10^9</math> cm/s(speed of light c=3x<math>10^{10}</math> cm/s, <math>\beta</math>=0.033, <math>\sqrt{1-\beta^2}</math>=0.999455352)<br> |

We obtained the following results for different angles between the direction of the fission fragment propagation and the direction of the gamma emission<br> | We obtained the following results for different angles between the direction of the fission fragment propagation and the direction of the gamma emission<br> | ||

− | <math>\theta</math>=<math>0^0</math><br> | + | (i) <math>\theta</math>=<math>0^0</math><br> |

<math>E_{shift}</math>=2532.02 keV<br> | <math>E_{shift}</math>=2532.02 keV<br> | ||

− | <math>\theta</math>=<math>90^0</math><br> | + | (ii) <math>\theta</math>=<math>90^0</math><br> |

<math>E_{shift}</math>=2618.43 keV<br> | <math>E_{shift}</math>=2618.43 keV<br> | ||

+ | |||

+ | (iii) <math>\theta</math>=<math>180^0</math><br> | ||

+ | |||

+ | <math>E_{shift}</math>=2704.83 keV<br> | ||

+ | |||

+ | FWHM(for energy 2617 keV)=2.5 keV(experimental data)<br> | ||

+ | |||

+ | Energy difference <math>E_{shift180^0}</math>-<math>E_{shift90^0}</math>=172.8 keV. This result shows us that we do not have Doppler Shift.<br> | ||

== Photon emission off fission fragment velocity axis== | == Photon emission off fission fragment velocity axis== | ||

= Cf-252 Fission = | = Cf-252 Fission = | ||

+ | The table below from http://www-aix.gsi.de/~wolle/ identifies gamma energies (in keV) for several fission fragments of Cf-252. | ||

+ | |||

+ | [[Image:Cf-252_FF_Egamma_Table.gif]][[Image:Cf-252_FF_Egamma_Table1.jpg]] | ||

+ | [[Image:Cf-252_FF_Egamma_Table2.jpg]][[Image:Cf-252_FF_Egamma_Table3.jpg]] | ||

+ | |||

+ | |||

==Photon Spectra from Cf-252 == | ==Photon Spectra from Cf-252 == | ||

+ | =Measurements in the Beam test lab with HpGe and BC408 = | ||

+ | [[June 15,2007 Cf-252 measurements with HpGe & neutron sensitive scintillators in coincidence]]<br> | ||

+ | [[June 19,2007 Cf-252 measurements with HpGe & neutron sensitive scintillators in coincidence]]<br> | ||

+ | [[June 19,2007 Cf-252 measurements of gamma-spectrum using HpGe ungated]]<br> | ||

+ | [[June 19, gamma-singles spectra of a Cf-252 source]]<br> | ||

+ | [[June 25,2007 Cf-252 measurements of gamma-spectrum using HpGe ungated]]<br> | ||

+ | [[June 25,2007 Cf-252 measurements of total gamma-spectrum using HpGe ungated]]<br> | ||

+ | [[June 27,2007 Cf-252 measurements with HpGe detector and BC408]]<br> | ||

+ | [[July 3,2007 Cf-252 without lead container measurements with HpGe & fast plastic scintillators in coincidence]]<br> | ||

+ | [[July 6, 2007 Neutron Capture in lead]]<br> | ||

+ | [[July 10, 2007 Division of gated to ungated spectra of Cf-252]]<br> | ||

+ | [[July 11, 2007 Experimental setup]]<br> | ||

− | |||

− | + | [[Results and Discussion]]<br> | |

− | + | == Measurements at the IAC == | |

− | + | [[Image:HuntsIACgraphs.pdf]]<br> | |

− | [[ | + | [[Image:promptg02_cf252_IAC.pdf]] |

− | [[ | + | |

− | [[ | + | =Details of Cf-252 Source= |

+ | The manufacturers description of the source [[Image:CF-252-Description.pdf]]<br> | ||

+ | Gamma and Neutron activity curves[[Image:CF-252-gamma-n-activitycurves.pdf]] |

## Latest revision as of 07:48, 7 December 2008

Spent fuel casket density:

# Theory of Doppler Broadening

## Photon emmision along direction of fission fragment velocity

= amount of energy the gamma ray was shifted by

where

=- for an excited fragment in det-2

is the polar emission angle of excited fragment and the fragment velocity

**Our Calculations**

For example for energy E=2617 keV and the fragment velocity v=

We obtained the following results for different angles between the direction of the fission fragment propagation and the direction of the gamma emission

(i)

(ii)

(iii)

FWHM(for energy 2617 keV)=2.5 keV(experimental data)

Energy difference

## Photon emission off fission fragment velocity axis

# Cf-252 Fission

The table below from http://www-aix.gsi.de/~wolle/ identifies gamma energies (in keV) for several fission fragments of Cf-252.

## Photon Spectra from Cf-252

# Measurements in the Beam test lab with HpGe and BC408

June 15,2007 Cf-252 measurements with HpGe & neutron sensitive scintillators in coincidence

June 19,2007 Cf-252 measurements with HpGe & neutron sensitive scintillators in coincidence

June 19,2007 Cf-252 measurements of gamma-spectrum using HpGe ungated

June 19, gamma-singles spectra of a Cf-252 source

June 25,2007 Cf-252 measurements of gamma-spectrum using HpGe ungated

June 25,2007 Cf-252 measurements of total gamma-spectrum using HpGe ungated

June 27,2007 Cf-252 measurements with HpGe detector and BC408

July 3,2007 Cf-252 without lead container measurements with HpGe & fast plastic scintillators in coincidence

July 6, 2007 Neutron Capture in lead

July 10, 2007 Division of gated to ungated spectra of Cf-252

July 11, 2007 Experimental setup

## Measurements at the IAC

File:HuntsIACgraphs.pdf

File:Promptg02 cf252 IAC.pdf

# Details of Cf-252 Source

The manufacturers description of the source File:CF-252-Description.pdf

Gamma and Neutron activity curvesFile:CF-252-gamma-n-activitycurves.pdf