TF SPIM e-gamma - Revision history

Foretony: /* Contributions as function of Z */

2018-04-13T16:34:52Z

Contributions as function of Z

2015-09-30T18:57:59Z

Bremsstrahlung in GEANT 4

2015-09-30T18:54:42Z

2015-09-30T18:44:41Z

2014-10-21T16:52:48Z

Moseley's Law

2014-10-21T16:50:51Z

Moseley's Law

2014-10-21T16:48:39Z

Moseley's Law

2014-10-21T16:40:25Z

Moseley's Law

2014-10-14T16:54:15Z

Bremsstrahlung

2014-10-14T16:49:26Z

Bremsstrahlung

@@ Line 770: / Line 770: @@
 At low energy (keV), the photo-electric effect dominant while at high energies (> 1 MeV) pair production starts to dominate.  Compton scattering dominates in the intermediate energy region.
-[[Image:SPIM_PhotoAbsorptionPhysicsProcess-vs-Z.jpg | 400 px]]
+[[Image:SPIM_PhotoAbsorptionPhysicsProcess-vs-Z.jpg | 400 px]][[Image:SPIM_PhotoAbsorptionPhysicsProcess-vs-Z_a.jpg | 400 px]]
 [[Simulations_of_Particle_Interactions_with_Matter]]

@@ Line 228: / Line 228: @@
 : see  [http://www.nndc.bnl.gov National Nuclear Data Center]:
-; Note: Soft photons are photons created in the scattering process which have less energy than the energy of the particles participating in the interaction.  Soft photon are not energtic enough to be detected.
+; Note: Soft photons are photons created in the scattering process which have less energy than the energy of the particles participating in the interaction.  Soft photons are not energtic enough to be detected.
 To improve simulation speed though, GEANT 4 actually uses a fit to the above cross sections such that

@@ Line 206: / Line 206: @@
 ;Examples of Radiation length
-;<math>\frac{1}{e} = \frac{1}{2.72} \sim \frac{1}{3}</math> : an electron has lost 1/3 of its original energy after traveling 1 radiation length (1 <math>X_0</math>) through the material
+;<math>\frac{1}{e} = \frac{1}{2.72} \sim \frac{1}{3}</math> : an electron has  1/3 of its original energy after traveling 1 radiation length (1 <math>X_0</math>) through the material
-;<math>\frac{1}{e^2}  \sim \frac{1}{7}</math> : an electron has lost 1/7 of its original energy after traveling 2 radiation lengths (2 <math>X_0</math>) through the material
+;<math>\frac{1}{e^2}  \sim \frac{1}{7}</math> : an electron has  1/7 of its original energy after traveling 2 radiation lengths (2 <math>X_0</math>) through the material
-;<math>\frac{1}{e^3}  \sim \frac{1}{20}</math> : an electron has lost 1/20 of its original energy after traveling 3 radiation lengths (3 <math>X_0</math>) through the material
+;<math>\frac{1}{e^3}  \sim \frac{1}{20}</math> : an electron has  1/20 of its original energy after traveling 3 radiation lengths (3 <math>X_0</math>) through the material
 ; After 2.3 radiation lengths the electron energy is down by a factor of 10 from its original value.

@@ Line 1: / Line 1: @@
 === Bremsstrahlung===
 ;Definition:  Radiation produced when a charged particle is deflected by the electric field of nuclei in a material.
@@ Line 49: / Line 48: @@
 : <math>N = \frac{ number\; atoms}{cm^3} = \frac{\rho N_a}{A} = \frac{density \;\times\; Avagadros\;\;Number}{Atomic number}</math>
 :<math>\left ( h \nu \right )</math> = Energy of emmitted photon
-:<math>\left ( \frac{d \sigma}{d \nu} \right )</math> = Probabitlity of Energy loss
+:<math>\left ( \frac{d \sigma}{d \nu} \right )</math> = Probability of Energy loss

@@ Line 319: / Line 319: @@
 |-
 |<math>L_{III}</math> || 2 || 1 || <math>\pm 1/2, \pm 3/2</math>||<math>2P_{3/2}</math> ||  248.4|| 247 || 575
 |-
 |}

@@ Line 308: / Line 308: @@
 {| border="3"  cellpadding="20" cellspacing="0"
-| Shell || n || Spect. Notation || colspan="3"| Binding Energy (eV)
+| Shell || n || <math>\ell</math> || m ||Spect. Notation || colspan="3"| Binding Energy (eV)
 |-
-| || || || Measured ||GEANT4 || Moseley
+| || <math>2n^2</math>|| || || || Measured ||GEANT4 || Moseley
 |-
-|<math>K</math> || 1 || <math>1S</math> || 3218  || 3178 || 3061
+|<math>K</math> || 1 ||  0 || <math>\pm 1/2</math>||  <math>1S</math> || 3218  || 3178 || 3061
 |-
-|<math>L_{I}</math> || 2 || <math>2S</math> ||  328 ||313.5 || 575
+|<math>L_{I}</math> || 2 || 0 || <math>\pm 1/2</math>||<math>2S</math> ||  328 ||313.5 || 575
 |-
-|<math>L_{II}</math> || 2 || <math>2P_{1/2}</math> ||  251 || 247  || 575
+|<math>L_{II}</math> || 2 || 1 || <math>\pm 1/2</math>||<math>2P_{1/2}</math> ||  251 || 247  || 575
 |-
-|<math>L_{III}</math> || 2 || <math>2P_{3/2}</math> ||  248.4|| 247 || 575
+|<math>L_{III}</math> || 2 || 1 || <math>\pm 1/2, \pm 3/2</math>||<math>2P_{3/2}</math> ||  248.4|| 247 || 575
 |-
 |}

@@ Line 301: / Line 301: @@
 |K || 1 || <math>1S_0</math> ||  || 3
 |-
-|L || 2 || <math>2P_{3/2} , 2P_{1/2}</math> ||  3P_{3/2}|| 5
+|L || 2 || <math>2P_{3/2} , 2P_{1/2}</math> ||  <math>3P_{3/2}</math>|| 5
 |-
 |}

← Older revision		Revision as of 16:54, 14 October 2014
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	[[Image:SPIM_Bethe-Brem_Eloss-vs-Energy.jpg \| 600 px]]		[[Image:SPIM_Bethe-Brem_Eloss-vs-Energy.jpg \| 600 px]]

		+
		+	The energy loss, due to collisions, of a proton is overlaid for comparison.

	;Critical Energy<math> E_C</math>:		;Critical Energy<math> E_C</math>:

@@ Line 17: / Line 17: @@
 :<math>Z</math> = Atomic number = number of protons in target material
 : <math>\gamma = \frac{100 m_ec^2 h \nu}{E_0 E Z^{1/3}}</math> = charge screening parameter
-Coulomb correction to using the Born approximation (approximation assumes the incident particle is a plane wave interacting with a static E-field the correction accounts for changes iin the plane wave due to the presence of the field)  Charge screening and the coulomb correction are different effects that have been shown to be additive/independent. [[File:Haug_2008.pdf]]
+Coulomb correction to using the Born approximation (approximation assumes the incident particle is a plane wave interacting with a static E-field, the correction accounts for changes in the plane wave due to the presence of the field).  Charge screening and the coulomb correction are different effects that have been shown to be additive/independent. [[File:Haug_2008.pdf]]
 :<math>f(Z) = (Z \alpha)^2 \sum_1^{\infty} \frac{1}{ n [ n^2 + (Z \alpha)^2]}</math>
 : <math>\sim (Z \alpha)^2 \left \{ \frac{1}{1+(Z \alpha)^2} +0.20206 - 0.0369(Z \alpha)^2 + 0.0083 (Z \alpha)^4 - 0.002 (Z \alpha)^6\right \}</math>