KaliVeda
1.13/01
Heavy-Ion Analysis Toolkit
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Reaction parameters for heavy-ion collisions from systematics of Wilcke et al.
Definition at line 20 of file KVWilckeReactionParameters.h.
Static Public Member Functions | |
static Double_t | BSS_V0 (Int_t zp, Int_t ap, Int_t zt, Int_t at) |
static Double_t | ChargeRadius_Myers (Int_t Z, Int_t A) |
static Double_t | delta_bar_Myers (Int_t Z, Int_t A) |
delta_bar, Eq.(8) in W.D. Myers, Phys. Lett. B 30, 451 (1969) More... | |
static Double_t | epsilon_bar_Myers (Int_t Z, Int_t A) |
epsilon_bar, Eq.(7) in W.D. Myers, Phys. Lett. B 30, 451 (1969) More... | |
static Double_t | InteractionRadius (Int_t aproj, Int_t atarg) |
static Double_t | MatterHalfDensityRadius (Int_t A) |
static Double_t | NLDSurfaceTensionCoefficient (Int_t Z, Int_t A) |
static Double_t | r0_Wilcke (Int_t aproj, Int_t atarg) |
static Double_t | RLDCriticalAngularMomentum (Int_t z, Int_t a) |
static Double_t | SharpRadius (Int_t A) |
static Double_t | SWaveFusionBarrierRadius (Int_t zp, Int_t ap, Int_t zt, Int_t at) |
static Double_t | TKESymFiss (Int_t Z, Int_t A) |
Private Member Functions | |
void | init () |
Private Attributes | |
Int_t | AC |
Int_t | AP |
Double_t | ASYMMFISSIONTKE |
TKE of completely relaxed events in strongly damped collisions. More... | |
Int_t | AT |
Mass number of the projectile, target. More... | |
Double_t | BSS_K |
Double_t | BSS_N |
Double_t | CBAR |
Double_t | CP |
Double_t | CT |
Matter half-density radii. More... | |
TF1 * | fBSS |
BSS Coulomb potential for heavy-ions. More... | |
TF1 * | fCentPot |
TF1 * | fCMThetaQuart |
CM quarter point angle. More... | |
Double_t | FISSIONTKE |
TKE for symmetric fission of combined system. More... | |
TF1 * | fLmax |
Grazing angular momentum. More... | |
TF1 * | fPotential |
total (nuclear+coulomb) potential for heavy-ions More... | |
TF1 * | fProx |
Nuclear proximity potential for heavy-ions. More... | |
TF1 * | fSigmaFus |
Fusion cross section. More... | |
TF1 * | fSigmaR |
Reaction cross section. More... | |
Double_t | GAMMA |
Nuclear liquid drop surface-tension coefficient. More... | |
Double_t | LCRIT |
The maximum critical angular momentum for fusion. More... | |
Double_t | MU |
Int_t | NC |
Int_t | NP |
Int_t | NT |
Neutron number of the projectile, target. More... | |
Double_t | PROXFACTOR |
Proximity potential factor. More... | |
Double_t | R0 |
Double_t | RBARRIER |
Fusion barrier radius RB for s-waves. More... | |
Double_t | RCP |
Double_t | RCT |
Double_t | RCTOTAL |
Coulomb radius. More... | |
Double_t | RINT |
Double_t | RP |
Double_t | RT |
Sharp radius. More... | |
Double_t | V0 |
BSS potential at r=0. More... | |
Double_t | VC_RINT |
BSS Coulomb potential at Rint. More... | |
Double_t | VRB |
The total conservative potential at r=RB for s-waves. More... | |
Int_t | ZC |
Int_t | ZP |
Int_t | ZT |
Atomic number of the projectile, target. More... | |
Static Private Attributes | |
static Double_t | a1_Myers = 15.677 |
volume energy coefficient More... | |
static Double_t | a2_Myers = 22.0 |
surface energy coefficient More... | |
static Double_t | c1_Myers = 0.745 |
Coulomb energy coefficient. More... | |
static Double_t | e2_Wilcke = 1.438 |
e**2 = 1.438 is value used by Wilcke et al. More... | |
static Double_t | J_Myers = 35.0 |
symmetry energy coefficient More... | |
static Double_t | K_Myers = 300.0 |
compressibility coefficient More... | |
static Double_t | L_Myers = 99.0 |
density-symmetry coefficient More... | |
static Double_t | M_Myers = 4.5 |
symmetry anharmonicity coefficient More... | |
static Double_t | mu_Wilcke = 931.5 |
mu = 931.5 is value used by Wilcke et al. More... | |
static Double_t | Q_Myers = 25.0 |
effective surface stiffness More... | |
static Double_t | r0_Myers = 1.16 |
nuclear radius constant More... | |
#include <KVWilckeReactionParameters.h>
KVWilckeReactionParameters::KVWilckeReactionParameters | ( | ) |
Default constructor.
Definition at line 86 of file KVWilckeReactionParameters.cpp.
KVWilckeReactionParameters::KVWilckeReactionParameters | ( | const KVNucleus & | proj, |
const KVNucleus & | targ | ||
) |
Definition at line 96 of file KVWilckeReactionParameters.cpp.
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Destructor.
Definition at line 107 of file KVWilckeReactionParameters.cpp.
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Corrected V0 formula (2.24) from Bondorf et al. Phys. Rep. C15, 83 (1974) In Wilcke et al. there is a mistake: (RCT**1/3 + RCP**1/3)**3 instead of (RCT**3+RCP**3)**1/3 The Wilcke formula gives negative V0 values and an incorrect form of potential. The actual values in Wilcke correspond to the correct Bondorf formula
Definition at line 107 of file KVWilckeReactionParameters.h.
Total heavy-ion potential (nuclear proximity+coulomb+centrifugal) at distance r x[0] = r l[0] = angular momentum
Definition at line 153 of file KVWilckeReactionParameters.h.
Charge (Coulomb) radius for nucleus charge Z mass A
Definition at line 102 of file KVWilckeReactionParameters.h.
delta_bar, Eq.(8) in W.D. Myers, Phys. Lett. B 30, 451 (1969)
Definition at line 147 of file KVWilckeReactionParameters.cpp.
Definition at line 329 of file KVWilckeReactionParameters.h.
Centre of mass energy from projectile E/A in laboratory
Definition at line 306 of file KVWilckeReactionParameters.h.
epsilon_bar, Eq.(7) in W.D. Myers, Phys. Lett. B 30, 451 (1969)
Definition at line 133 of file KVWilckeReactionParameters.cpp.
Coulomb parameter
Definition at line 259 of file KVWilckeReactionParameters.h.
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Definition at line 370 of file KVWilckeReactionParameters.h.
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For beam energy e_sur_a [MeV/nucleon] and impact parameter b [fm], calculate the equivalent angular momentum [hbar]
Definition at line 163 of file KVWilckeReactionParameters.h.
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Definition at line 362 of file KVWilckeReactionParameters.h.
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Definition at line 366 of file KVWilckeReactionParameters.h.
Bass reaction cross-section [mb] for incident energy [MeV/nucleon].
Definition at line 352 of file KVWilckeReactionParameters.cpp.
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Definition at line 215 of file KVWilckeReactionParameters.h.
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Total (nuclear+coulomb+centrifugal) potential for given beam energy (E/A) and impact parameter (fm)
Definition at line 200 of file KVWilckeReactionParameters.h.
Total (nuclear+coulomb+centrifugal) potential for given angular momentum (hbar)
Definition at line 209 of file KVWilckeReactionParameters.h.
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Definition at line 293 of file KVWilckeReactionParameters.h.
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Definition at line 374 of file KVWilckeReactionParameters.h.
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Calculate cross-section [mb] for a given beam energy [MeV/nucleon] and maximum entrance channel angular momentum [hbar]
Definition at line 175 of file KVWilckeReactionParameters.h.
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Calculate cross-section [mb] for a given maximum entrance channel impact parameter [fm]
Definition at line 188 of file KVWilckeReactionParameters.h.
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Definition at line 378 of file KVWilckeReactionParameters.h.
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Returns total kinetic energy of completely relaxed events in strongly damped collisions
Definition at line 233 of file KVWilckeReactionParameters.h.
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Definition at line 325 of file KVWilckeReactionParameters.h.
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For beam energy e_sur_a [MeV/nucleon] and angular momentum l [hbar], calculate the equivalent impact parameter [fm]
Definition at line 169 of file KVWilckeReactionParameters.h.
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Definition at line 297 of file KVWilckeReactionParameters.h.
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Calculate maximum entrance channel angular momentum [hbar] for a given cross-section [mb] and beam energy [MeV/nucleon] (sharp cut-off approximatin)
Definition at line 181 of file KVWilckeReactionParameters.h.
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Calculate maximum entrance channel impact parameter [fm] for a given cross-section [mb] (sharp cut-off approximation)
Definition at line 194 of file KVWilckeReactionParameters.h.
Double_t KVWilckeReactionParameters::GetMaximumAngularMomentumWithPocket | ( | ) |
Retuns maximum angular momentum for which a pocket exists in the interaction potential which corresponds to a lower potential energy than the maximum Double_t lmin, lmax; lmin = 0; lmax = 200; Double_t l = lmin; while (lmax > lmin) { if (PotentialPocketRadius(l) > 0.) { if (lmax - lmin == 2.0) return l; lmin = l; } else { if (l < 1) return 0; lmax = l; } if (lmax - lmin == 1.0) return lmin; l = TMath::Nint((lmin + lmax) / 2.); } return 0;
Definition at line 284 of file KVWilckeReactionParameters.cpp.
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reduced mass number
Definition at line 357 of file KVWilckeReactionParameters.h.
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Definition at line 219 of file KVWilckeReactionParameters.h.
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Definition at line 311 of file KVWilckeReactionParameters.h.
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Definition at line 382 of file KVWilckeReactionParameters.h.
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Definition at line 223 of file KVWilckeReactionParameters.h.
Definition at line 26 of file KVWilckeReactionParameters.cpp.
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Interaction radius [fm]
Definition at line 78 of file KVWilckeReactionParameters.h.
Asymptotic wave number in the centre-of-mass system
Definition at line 264 of file KVWilckeReactionParameters.h.
Definition at line 289 of file KVWilckeReactionParameters.h.
Matter half-density radius for nucleus mass A with width parameter b=1fm
Definition at line 94 of file KVWilckeReactionParameters.h.
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Nuclear liquid-drop surface-tension coefficient J. Blocki, J. Randrup, W.J. Swiatecki, and C.F. Tsang, Ann. Phys. (N. Y.) 105, 427 (1977)
Definition at line 238 of file KVWilckeReactionParameters.h.
Total heavy-ion potential (nuclear proximity+coulomb) at distance r
Definition at line 148 of file KVWilckeReactionParameters.h.
Find position (radial distance between centres) at which total potential has a maximum for the given angular momentum. Returns -1.0 if no maximum.
Definition at line 325 of file KVWilckeReactionParameters.cpp.
Find position (radial distance between centres) at which total potential has a minimum for the given angular momentum. Returns -1.0 if no pocket.
Definition at line 240 of file KVWilckeReactionParameters.cpp.
Definition at line 184 of file KVWilckeReactionParameters.cpp.
Laboratory energy of projectile elastically scattered at quarter-point angle
Definition at line 283 of file KVWilckeReactionParameters.h.
Quarter-point angle in the laboratory of projectile
Definition at line 277 of file KVWilckeReactionParameters.h.
Nuclear proximity potential for nuclei separated by r J. Blocki, J. Randrup, W.J. Swiatecki, and C.F. Tsang Ann. Phys. (N. Y.) 105, 427-462 (1977)
< Matter half-density radii
Definition at line 128 of file KVWilckeReactionParameters.h.
C.M. quarter point angle as a function of laboratory E/A of projectile
Definition at line 269 of file KVWilckeReactionParameters.h.
R0 [fm]
Definition at line 84 of file KVWilckeReactionParameters.h.
S. Cohen, F. Plasil and W.J. Swiatecki, Ann. Phys. (N. Y.) 82, 557 (1974) Rotating Liquid Drop model critical angular momentum Only y_I is returned (normally valid for fissility parameter > 0.81) as no parameterisation for y_II is given in the paper ???
Definition at line 164 of file KVWilckeReactionParameters.cpp.
void KVWilckeReactionParameters::SetEntranceChannel | ( | const KVNucleus & | proj, |
const KVNucleus & | targ | ||
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(Re)set entrance channel to calculate
Definition at line 117 of file KVWilckeReactionParameters.cpp.
Equivalent sharp radius of nucleus mass A
Definition at line 89 of file KVWilckeReactionParameters.h.
Fusion cross section in mb
Definition at line 315 of file KVWilckeReactionParameters.h.
Reaction X-section from Lmax in mb
Definition at line 301 of file KVWilckeReactionParameters.h.
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Fusion barrier radius for s-waves
Definition at line 245 of file KVWilckeReactionParameters.h.
Total kinetic energy for symmetric fission V.E. Viola, Jr., Nucl. Data Sect. A1, 391 (1966)
Definition at line 227 of file KVWilckeReactionParameters.h.
BSS Coulomb potential for heavy ions with separation r
Definition at line 119 of file KVWilckeReactionParameters.h.
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volume energy coefficient
Definition at line 50 of file KVWilckeReactionParameters.h.
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surface energy coefficient
Definition at line 51 of file KVWilckeReactionParameters.h.
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Definition at line 27 of file KVWilckeReactionParameters.h.
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Definition at line 24 of file KVWilckeReactionParameters.h.
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TKE of completely relaxed events in strongly damped collisions.
Definition at line 42 of file KVWilckeReactionParameters.h.
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Mass number of the projectile, target.
Definition at line 24 of file KVWilckeReactionParameters.h.
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Definition at line 39 of file KVWilckeReactionParameters.h.
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Definition at line 39 of file KVWilckeReactionParameters.h.
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Coulomb energy coefficient.
Definition at line 57 of file KVWilckeReactionParameters.h.
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Definition at line 34 of file KVWilckeReactionParameters.h.
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Definition at line 33 of file KVWilckeReactionParameters.h.
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Matter half-density radii.
Definition at line 33 of file KVWilckeReactionParameters.h.
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e**2 = 1.438 is value used by Wilcke et al.
Definition at line 36 of file KVWilckeReactionParameters.h.
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BSS Coulomb potential for heavy-ions.
Definition at line 60 of file KVWilckeReactionParameters.h.
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Definition at line 67 of file KVWilckeReactionParameters.h.
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CM quarter point angle.
Definition at line 63 of file KVWilckeReactionParameters.h.
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TKE for symmetric fission of combined system.
Definition at line 41 of file KVWilckeReactionParameters.h.
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Grazing angular momentum.
Definition at line 64 of file KVWilckeReactionParameters.h.
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total (nuclear+coulomb) potential for heavy-ions
Definition at line 62 of file KVWilckeReactionParameters.h.
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Nuclear proximity potential for heavy-ions.
Definition at line 61 of file KVWilckeReactionParameters.h.
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Fusion cross section.
Definition at line 66 of file KVWilckeReactionParameters.h.
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Reaction cross section.
Definition at line 65 of file KVWilckeReactionParameters.h.
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Nuclear liquid drop surface-tension coefficient.
Definition at line 43 of file KVWilckeReactionParameters.h.
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symmetry energy coefficient
Definition at line 52 of file KVWilckeReactionParameters.h.
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compressibility coefficient
Definition at line 53 of file KVWilckeReactionParameters.h.
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density-symmetry coefficient
Definition at line 54 of file KVWilckeReactionParameters.h.
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The maximum critical angular momentum for fusion.
Definition at line 46 of file KVWilckeReactionParameters.h.
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symmetry anharmonicity coefficient
Definition at line 55 of file KVWilckeReactionParameters.h.
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Definition at line 29 of file KVWilckeReactionParameters.h.
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mu = 931.5 is value used by Wilcke et al.
Definition at line 37 of file KVWilckeReactionParameters.h.
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Definition at line 26 of file KVWilckeReactionParameters.h.
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Definition at line 23 of file KVWilckeReactionParameters.h.
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Neutron number of the projectile, target.
Definition at line 23 of file KVWilckeReactionParameters.h.
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Proximity potential factor.
Definition at line 44 of file KVWilckeReactionParameters.h.
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effective surface stiffness
Definition at line 56 of file KVWilckeReactionParameters.h.
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Definition at line 31 of file KVWilckeReactionParameters.h.
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nuclear radius constant
Definition at line 58 of file KVWilckeReactionParameters.h.
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Fusion barrier radius RB for s-waves.
Definition at line 45 of file KVWilckeReactionParameters.h.
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Definition at line 35 of file KVWilckeReactionParameters.h.
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Definition at line 35 of file KVWilckeReactionParameters.h.
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Coulomb radius.
Definition at line 35 of file KVWilckeReactionParameters.h.
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Definition at line 30 of file KVWilckeReactionParameters.h.
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Definition at line 32 of file KVWilckeReactionParameters.h.
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Sharp radius.
Definition at line 32 of file KVWilckeReactionParameters.h.
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BSS potential at r=0.
Definition at line 38 of file KVWilckeReactionParameters.h.
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BSS Coulomb potential at Rint.
Definition at line 40 of file KVWilckeReactionParameters.h.
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The total conservative potential at r=RB for s-waves.
Definition at line 47 of file KVWilckeReactionParameters.h.
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Definition at line 25 of file KVWilckeReactionParameters.h.
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Definition at line 22 of file KVWilckeReactionParameters.h.
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Atomic number of the projectile, target.
Definition at line 22 of file KVWilckeReactionParameters.h.