CERN Program Library Long Writeup W5013 - CERNLIB ...

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may set: f(ɛ) = g(ɛ) = α 1 = f 1 (ɛ) = [ ] 1 2∑ ɛ + ɛ = α i f i (E) for ɛ 0 >ɛ>1 [ i=1 1 − ɛ ] sin2 θ 1+ɛ 2 rejection function 1 α 2 = 1 ln(1/ɛ 0 ) 2 (1 − ɛ2 0) 1 2ɛ f 2 (ɛ) = ɛ ln(1/ɛ 0 ) 1 − ɛ 2 The value of ɛ corresponding to the minimum photon energy (backward scattering) is given by: ɛ 0 = 1 1+2E/m e Given a set of random numbers r i uniformly distributed in [0,1], the sampling procedure for ɛ is the following: 1. decide which element of the f(ɛ) distribution to sample from. Let α T =(α 1 + α 2 )r 0 .Ifα 1 ≥ α T select f 1 (ɛ), otherwise select f 2 (ɛ); 2. sample ɛ from the distributions corresponding to f 1 or f 2 .Forf 1 this is simply achieved by: ɛ = ɛ 0 e α 1 r 1 For f 2 , we change variables and use: ɛ ′ = { max(r2 ,r 3 ) for E/m ≥ (E/m +1)r 4 r 5 Then, ɛ = ɛ 0 +(1− ɛ 0 )ɛ ′ ; for all other cases 3. calculate sin 2 θ =max(0,t(2 − t)) where t = m e (1 − ɛ)/E ′ 4. test the rejection function, if r 6 ≤ g(ɛ) accept ɛ, otherwise return to step 1. After the successful sampling of ɛ, GCOMP generates the polar angles of the scattered photon with respect to the direction of the parent photon. The azimuthal angle, φ, is generated isotropically and θ is as defined above. The momentum vector of the scattered photon is then calculated according to kinematic considerations. Both vectors are then transformed into the GEANT coordinate system. 3 Restriction The differential cross-section is only valid for those collisions in which the energy of the recoil electron is large compared with its binding energy (which is ignored). However, as pointed out by Rossi [18], this has a negligible effect because of the small number of recoil electrons produced at very low energies. PHYS221 – 2 218
GEANT 3.16 GEANT User’s Guide PHYS230 Origin : L.Urbán Submitted: 26.10.84 Revision : J. Chwastowski Revised: 16.12.93 Documentation : 1 Subroutines Total cross-section for photoelectric effect CALL GPHINI GPHINI steers initialisation of the constants. It calls GHPRIN for initialisation of the atom decay rates, GHSLIN to initialise atomic shell potentials and ionisation energies and GPHXIN for the initialisation of the cross-section constants. It is called by GPHOTI. CALL GPHRIN Initialisation of the atom decay rates. The routine is called by GPHINI. CALL GSHLIN Initialisation of the atomic shell potentials and ionisation energies. GSHLIN is called by GPHINI. CALL GPHXIN Initialisation of the cross-section constants for elements with Z ≤ 100. It is called by GPHINI. CALL GPHXSI GPHXSI is called by GPHYSI for every tracking medium. It calculates the cross-section coefficients. The results of the calculations are stored in the photoelectric effect constants bank created by this routine. CALL GFSHDC GFSHDC calls GFRDT, GNRDT and GFSDPR for the probabilities of atomic state transitions and the transition energies and stores them in the ZEBRA bank. It is called by GPHXSI. CALL GFSHLS GFSHLS returns the shell potentials in eV for an atom. It is called by GFSHDC. CALL GFRDT GFRDT returns probability distribution and energies of the atomic radiative transitions. It is called by GFSHDC. CALL GNFRDT GNFRDT returns probability distribution and energies of the non-radiative atomic transitions. It is called by GFSHDC. CALL GFSDPR GFSDPR returns probability of the shell radiative decay. It is called by GFSHDC. CALL GPHOTI GPHOTI calculates the total cross-section for the photoelectric effect. It tabulates the mean free path, λ = 1/Σ (in cm), as a function of the medium and the energy. If Z ≤ 100 then it calls the function GPHSG1 for the total cross-section. Otherwise GPHSIG function is used. GPHOTI is called at initialisation time by GPHYSI. 219 PHYS230 – 1
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CERN Program Library Long Writeup W
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Chapter 1: Catalog of Geant section
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IOPA500 KINE001 KINE100 KINE199 KIN
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Geant 3.21 GEANT User’s Guide AAA
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The routines made available for GEA
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AAAA Bibliography [1] H.J. Klein an
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2 Event simulation framework The fr
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GUDIGI GUOUT GTRIGC UGLAST GLAST GU
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Particles JPART Materials JMATE/JTM
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3 Summary of GEANT data records 3.1
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3.4 User applications KEY N I VAR S
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SUBROUTINE UGEOM + (’TGT ’,2,
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LQ(JHEAD-1) user link IQ(JHEAD+1) I
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CALL GDOPEN(3) CALL GDRAWC(’ALEF
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SHAD EDGE when HIDE is ON, selects
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x1xxxx 1xxxxx add the text EVENT NR
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2 Volumes with contents A volume ca
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ITRA NUMBV HITS NHITS (INTEGER) is
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ln(∫ σ γ dE/norm.factor) -4 -6
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VALUE = GBFSIG (T,C) GBFSIG calcula
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VALUE = GBRSGM (Z,T,BCUT) Z T BCUT
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VECT,SNEXT,SAFETY Compute distance
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VECT,SNEXT,SAFETY Compute distance
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VECT,SNEXT,SAFETY Compute SFIELD,SM
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CALL GRKUTA (CHARGE,STEP,VECT,VOUT*
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Print matrixes’ specifications. 5
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