// // ******************************************************************** // * 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 * // * LICENSE and available at http://cern.ch/geant4/license . These * // * include a list of copyright holders. * // * * // * Neither the authors of this software system, nor their employing * // * institutes,nor the agencies providing financial support for this * // * 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 * // * use in resulting scientific publications, and indicate your * // * acceptance of all terms of the Geant4 Software license. * // ******************************************************************** /* * 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 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