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geant4/source/materials/include/G4DensityEffectCalculator.hh
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//
// ********************************************************************
// * License and Disclaimer *
// * *
// * The Geant4 software is copyright of the Copyright Holders of *
// * the Geant4 Collaboration. It is provided under the terms and *
// * conditions of the Geant4 Software License, included in the file *
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// * include a list of copyright holders. *
// * *
// * Neither the authors of this software system, nor their employing *
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// * work make any representation or warranty, express or implied, *
// * regarding this software system or assume any liability for its *
// * use. Please see the license in the file LICENSE and URL above *
// * for the full disclaimer and the limitation of liability. *
// * *
// * This code implementation is the result of the scientific and *
// * technical work of the GEANT4 collaboration. *
// * By using, copying, modifying or distributing the software (or *
// * any work based on the software) you agree to acknowledge its *
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/*
* Interface to calculation of the Fermi density effect as per the method
* described in:
*
* R. M. Sternheimer, M. J. Berger, and S. M. Seltzer. Density
* effect for the ionization loss of charged particles in various sub-
* stances. Atom. Data Nucl. Data Tabl., 30:261, 1984.
*
* Which (among other Sternheimer references) builds on:
*
* R. M. Sternheimer. The density effect for ionization loss in
* materials. Phys. Rev., 88:851­859, 1952.
*
* The returned values of delta are directly from the Sternheimer calculation,
* and not Sternheimer's popular three-part approximate parameterization
* introduced in the same paper.
*
* Author: Matthew Strait <straitm@umn.edu> 2019
*/
#ifndef G4DensityEffectCalculator_HH
#define G4DensityEffectCalculator_HH
#include "globals.hh"
class G4Material;
class G4DensityEffectCalculator
{
public:
G4DensityEffectCalculator(const G4Material*, G4int);
~G4DensityEffectCalculator();
// The Sternheimer 'x' defined as log10(p/m) == log10(beta*gamma).
G4double ComputeDensityCorrection(G4double x);
private:
/*
* Given a material defined in 'par' with a plasma energy, mean excitation
* energy, and set of atomic energy levels ("oscillator frequencies") with
* occupation fractions ("oscillation strengths"), solve for the Sternheimer
* adjustment factor (Sternheimer 1984 eq 8) and record (into 'par') the values
* of the adjusted oscillator frequencies and Sternheimer constants l_i.
* After doing this, 'par' is ready for a calculation of delta for an
* arbitrary particle energy. Returns true on success, false on failure.
*/
G4double FermiDeltaCalculation(G4double x);
G4double Newton(G4double x0, G4bool first);
G4double DFRho(G4double);
G4double FRho(G4double);
G4double DEll(G4double);
G4double Ell(G4double);
G4double DeltaOnceSolved(G4double);
const G4Material* fMaterial;
G4int fVerbose{0};
G4int fWarnings{0};
// Number of energy levels. If a single element, this is the number
// of subshells. If several elements, this is the sum of the number
// of subshells. In principle, could include levels for molecular
// orbitals or other non-atomic states. The last level is always
// the conduction band. If the material is an insulator, set the
// oscillator strength for that level to zero and the energy to
// any value.
const G4int nlev;
G4double fConductivity;
// Current Sternheimer 'x' defined as log10(p/m) == log10(beta*gamma).
G4double sternx;
// The plasma energy of the material in eV, which is simply
// 28.816 sqrt(density Z/A), with density in g/cc.
G4double plasmaE;
// The mean excitation energy of the material in eV, i.e. the 'I' in the
// Bethe energy loss formula.
G4double meanexcite;
// Sternheimer's "oscillator strengths", which are simply the fraction
// of electrons in a given energy level. For a single element, this is
// the fraction of electrons in a subshell. For a compound or mixture,
// it is weighted by the number fraction of electrons contributed by
// each element, e.g. for water, oxygen's electrons are given 8/10 of the
// weight.
G4double* sternf;
// Energy levels. Can be found for free atoms in, e.g., T. A. Carlson.
// Photoelectron and Auger Spectroscopy. Plenum Press, New York and London,
// 1985. Available in a convenient form in G4AtomicShells.cc.
//
// Sternheimer 1984 implies that the energy level for conduction electrons
// (the final element of this array) should be set to zero, although the
// computation could be run with other values.
G4double* levE;
/***** Results of intermediate calculations *****/
// The Sternheimer parameters l_i which appear in Sternheimer 1984 eq(1).
G4double* sternl;
// The adjusted energy levels, as found using Sternheimer 1984 eq(8).
G4double* sternEbar;
};
#endif