Photofission neutron rate - Revision history

Burgjeff: /* calculation */

2017-07-04T19:14:02Z

calculation

2016-12-24T04:40:21Z

calculation

2016-12-24T04:39:47Z

calculation

2016-12-24T04:39:34Z

calculation

2016-12-24T04:33:38Z

calculation

2016-12-24T01:36:00Z

calculation

2016-12-24T01:35:27Z

calculation

2016-12-20T06:05:35Z

calculation

2016-12-20T06:04:53Z

calculation

2016-12-20T06:04:34Z

calculation

← Older revision		Revision as of 19:14, 4 July 2017
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	<math>\frac{ N_{fiss} }{N_{fiss}+N_{1n} }=0.40</math>		<math>\frac{ N_{fiss} }{N_{fiss}+N_{1n} }=0.40</math>
		+
		+
		+	So, the nuber of fissions per measurble neutron is:
		+
		+	<math>\frac{ N_{fiss} }{N_{fiss}+N_{1n} }=0.40</math>
		+

@@ Line 14: / Line 14: @@
 <math>k</math> is an arbitrary constant of proportionality which depends on target thickness, atoms/gram, units, ect.
-<math>\sigma_{1n}</math> and <math>\sigma_{fiss}</math>  are the cross-sections for 1n knockout and photofission.
+<math>\sigma_{1n}</math> and <math>\sigma_{fiss}</math>  are the cross-sections for 1n knockout and photofission, respectively.
 <math>\epsilon_{1n}(E_{\gamma})</math> is the fraction of <math>(\gamma,1n)</math> neutrons that are above the 0.5 MeV detection threshold.

@@ Line 12: / Line 12: @@
 where,
-<math>k</math> is an arbitrary constant of proportionality, which depends on target thickness, atoms/gram, units, ect.
+<math>k</math> is an arbitrary constant of proportionality which depends on target thickness, atoms/gram, units, ect.
 <math>\sigma_{1n}</math> and <math>\sigma_{fiss}</math>  are the cross-sections for 1n knockout and photofission.

@@ Line 4: / Line 4: @@
 =calculation=
-<math>N_{1n}\propto \int \sigma_{1n}(E_{\gamma})*\epsilon_{1n}(E_{\gamma})*\gamma(E_{\gamma})dE_{\gamma} </math>
+The number of neutrons from 1n knockout and photofission are given by:
-<math>N_{fiss}\propto \int \sigma_{fiss}(E_{\gamma})*\epsilon_{fiss}*\gamma(E_{\gamma})*\bar{\nu}(E{\gamma})dE_{\gamma} </math>
+<math>N_{1n}=k \int \sigma_{1n}(E_{\gamma})*\epsilon_{1n}(E_{\gamma})*\gamma(E_{\gamma})dE_{\gamma} </math>
 where,
 <math>\sigma_{1n}</math> and <math>\sigma_{fiss}</math>  are the cross-sections for 1n knockout and photofission.

← Older revision		Revision as of 04:33, 24 December 2016
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	<math>\gamma(E_{\gamma})</math> is the bremsstrahlung photon energy distribution.		<math>\gamma(E_{\gamma})</math> is the bremsstrahlung photon energy distribution.

−	<math>\bar{\nu}(E{\gamma}) </math> is the photofission neutron multiplicity as a function of incident photon energy.	+	<math>\bar{\nu}(E{\gamma}) </math> is the mean photofission neutron multiplicity as a function of incident photon energy.

← Older revision		Revision as of 01:36, 24 December 2016
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	<math>\gamma(E_{\gamma})</math> is the bremsstrahlung photon energy distribution.		<math>\gamma(E_{\gamma})</math> is the bremsstrahlung photon energy distribution.
		+
		+	<math>\bar{\nu}(E{\gamma}) </math> is the photofission neutron multiplicity as a function of incident photon energy.
		+


	<math>\frac{ N_{fiss} }{N_{fiss}+N_{1n} }=0.40</math>		<math>\frac{ N_{fiss} }{N_{fiss}+N_{1n} }=0.40</math>

−	~~<math>\bar{\nu}(E{\gamma}) </math>~~

@@ Line 6: / Line 6: @@
 <math>N_{1n}\propto \int \sigma_{1n}(E_{\gamma})*\epsilon_{1n}(E_{\gamma})*\gamma(E_{\gamma})dE_{\gamma} </math>
-<math>N_{fiss}\propto \int \sigma_{fiss}(E_{\gamma})*\epsilon_{fiss}*\gamma(E_{\gamma})dE_{\gamma} </math>
+<math>N_{fiss}\propto \int \sigma_{fiss}(E_{\gamma})*\epsilon_{fiss}*\gamma(E_{\gamma})*\bar{\nu}(E{\gamma})dE_{\gamma} </math>
 where,
@@ Line 20: / Line 20: @@
 <math>\frac{ N_{fiss} }{N_{fiss}+N_{1n} }=0.40</math>

@@ Line 14: / Line 14: @@
 <math>\epsilon_{1n}(E_{\gamma})</math> is the fraction of <math>(\gamma,1n)</math> neutrons that are above the 0.5 MeV detection threshold.
-<math>\epsilon_{fiss} </math> is a constant equal to the fraction of <math>(\gamma,fiss)</math> neutrons above threshold, equal to 0.85.
+<math>\epsilon_{fiss} </math> is a constant equal to the fraction of <math>(\gamma,fiss)</math> neutrons above the 0.5 MeV threshold, which is equal to 0.85.
 <math>\gamma(E_{\gamma})</math> is the bremsstrahlung photon energy distribution.