Advanced Multi-Physics (AMP)
On-Line Documentation
Functions | Variables
AMP::Constants Namespace Reference

Functions

constexpr Units a0 ("m", 5.2917721090380e-11)
 Bohr radius: h_bar^2/(k_e*me*e^2) or r_e/alpha^2.
 
constexpr Units alpha ("", 7.297352569311e-3)
 fine-structure constant: e^2/(4*pi*eplison0*h_bar*c)
 
constexpr Units alpha_1 ("", 137.03599908421)
 inverse fine-structure constant: (4*pi*eplison0*h_bar*c)/e^2
 
constexpr Units b ("m*K", 2.897771955e-3)
 Wien wavelength displacement law constant.
 
constexpr Units b_entropy ("m*K", 3.002916077e-3)
 Wien entropy displacement law constant.
 
constexpr Units bf ("Hz*K^-1", 5.878925757e10)
 Wien frequency displacement law constant.
 
constexpr Units c ("m*s^-1", 299792458)
 speed of light in vacuum
 
constexpr Units c1L ("W*m^2*sr^-1", 1.1910429723971884140794892e-16)
 first radiation constant for spectral radiance: 2*h*c/sr
 
constexpr Units c2 ("m*K", 1.438776877e-2)
 second radiation constant: h*c/kB
 
constexpr Units ca ("W*m^2", 3.741771852e-16)
 first radiation constant: 2*pi*h*c^2
 
constexpr Units dnu_Cs ("Hz", 9192631770)
 hyperfine transition frequency of 133Cs
 
constexpr Units e ("C", 1.602176634e-19)
 elementary charge
 
constexpr Units Eh ("J", 4.359744722207185e-18)
 Hartree energy: alpha^2*c^2*me.
 
constexpr Units epsilon0 ("F*m^-1", 8.854187812813e-12)
 vacuum electric permittivity
 
constexpr Units F ("C*mol^-1", 96485.3321233100184)
 Faraday constant: NA*e.
 
constexpr Units Fermi_coupling ("GeV^-2", 1.16637876e-5)
 Fermi coupling constant: Gf/(h_bar*c^3)
 
constexpr Units G ("m^3 kg^-1 s^-2", 6.6743015e-11)
 Newtonian constant of gravitation.
 
constexpr Units G0 ("S", 7.748091729e-5)
 conductance quantum: 2*e^2/h
 
constexpr Units G0_1 ("ohm", 12906.40372)
 inverse conductance quantum: h/(2*e^2)
 
constexpr Units g_e ("", -2.0023193043625635)
 electron g-factor
 
constexpr Units g_mu ("", -2.002331841813)
 muon g-factor
 
constexpr Units g_p ("", 5.585694689316)
 proton g-factor
 
constexpr Units h ("J*Hz^-1", 6.62607015e-34)
 Planck constant.
 
constexpr Units h_bar ("J*s", 1.054571817e-34)
 reduced Planck constant: h/(2*pi)
 
constexpr Units HJ ("Hz*V^-1", 483597.8484e9)
 Josephson constant: 2*e/h.
 
constexpr Units I0 ("Wb", 2.067833848e-15)
 magnetic flux quantum: h/(2*e)
 
constexpr Units kB ("J*K^-1", 1.380649e-23)
 Boltzmann constant.
 
constexpr Units ke ("N*m^2*C^-2", 8.987551792314e9)
 Coulomb constant.
 
constexpr Units m_12C ("kg", 1.9926468799260e-26)
 atomic mass of carbon-12
 
constexpr Units M_12C ("kg*mol^-1", 11.999999995836e-3)
 molar mass of carbon-12
 
constexpr Units m_mu ("kg", 1.88353162742e-28)
 muon mass
 
constexpr Units m_t ("kg", 3.078453e-25)
 top quark mass
 
constexpr Units m_tau ("kg", 3.1675421e-27)
 tau mass
 
constexpr Units m_u ("kg", 1.6605390666050e-27)
 atomic mass constant: m_12C/12
 
constexpr Units M_u ("kg*mol^-1", 0.9999999996530e-3)
 molar mass constant: M_12C/12
 
constexpr Units me ("kg", 9.109383701528e-31)
 electron mass
 
constexpr Units mn ("kg", 1.6749274980495e-27)
 neutron mass
 
constexpr Units molar_Plank ("J*s*mol^-1", 3.9903127128934314e-10)
 molar Planck constant: NA*h
 
constexpr Units mp ("kg", 1.6726219236951e-27)
 proton mass
 
constexpr Units mp_me ("", 1836.1526734311)
 proton-to-electron mass ratio: mp/me
 
constexpr Units mu0 ("N*A^-2", 1.2566370621219e-6)
 vacuum magnetic permeability
 
constexpr Units mu_B ("J*T^-1", 9.274010078328e-24)
 Bohr magneton: e*h_bar/(2*me)
 
constexpr Units mu_N ("J*T^-1", 5.050783746115e-27)
 nuclear magneton: e*h_bar/(2*mp)
 
constexpr Units mW_mZ ("", 0.8815317)
 W-to-Z mass ratio: m_W/m_Z.
 
constexpr Units NA ("mol^-1", 6.02214076e23)
 Avogadro constant.
 
constexpr Units quantum_circulation ("m^2*s^-1", 3.636947551611e-4)
 quantum of circulation: h_bar/(2*me)
 
constexpr Units R ("J*mol^-1*K^-1", 8.31446261815324)
 molar gas constant: NA*kB
 
constexpr Units r_e ("m", 2.817940326213e-15)
 classical electron radius: e^2*k_e/(me*c^2)
 
constexpr Units R_inf ("m^-1", 10973731.56816021)
 Rydberg constant: alpha^2*me*c/(2*h)
 
constexpr Units RK ("ohm", 25812.80745)
 von Klitzing constant: h/e^2
 
constexpr Units Ry ("J", 2.179872361103542e-18)
 Rydberg unit of energy: Eh/2.
 
constexpr Units sigma ("W*m^-2*K^-4", 5.670374419e-8)
 Stefan-Boltzmann constant: pi^2*kB^4/(60*k_bar^3*c^2)
 
constexpr Units sigma_e ("m^2", 6.652458732160e-29)
 Thomson cross section: (8*pi/3)*r_e^2.
 
constexpr Units theta_W ("", 0.2229030)
 weak mixing angle: sin^2(theta)=1-(m_W/m_Z)^2
 
constexpr Units Vm_Si ("m^3*mol^-1", 1.20588319960e-5)
 molar volume of silicon
 
constexpr Units Z0 ("ohm", 376.73031366857)
 characteristic impedance of vacuum: mu0*c
 

Variables

constexpr double pi = 3.1415926535897932
 pi
 

Function Documentation

◆ a0()

constexpr Units AMP::Constants::a0 ( "m"  ,
5.2917721090380e-  11 
)
constexpr

Bohr radius: h_bar^2/(k_e*me*e^2) or r_e/alpha^2.

◆ alpha()

constexpr Units AMP::Constants::alpha ( ""  ,
7.297352569311e 3 
)
constexpr

fine-structure constant: e^2/(4*pi*eplison0*h_bar*c)

◆ alpha_1()

constexpr Units AMP::Constants::alpha_1 ( ""  ,
137.  03599908421 
)
constexpr

inverse fine-structure constant: (4*pi*eplison0*h_bar*c)/e^2

◆ b()

constexpr Units AMP::Constants::b ( "m*K"  ,
2.897771955e 3 
)
constexpr

Wien wavelength displacement law constant.

◆ b_entropy()

constexpr Units AMP::Constants::b_entropy ( "m*K"  ,
3.002916077e 3 
)
constexpr

Wien entropy displacement law constant.

◆ bf()

constexpr Units AMP::Constants::bf ( "Hz*K^-1"  ,
5.  878925757e10 
)
constexpr

Wien frequency displacement law constant.

◆ c()

constexpr Units AMP::Constants::c ( "m*s^-1"  ,
299792458   
)
constexpr

speed of light in vacuum

◆ c1L()

constexpr Units AMP::Constants::c1L ( "W*m^2*sr^-1"  ,
1.1910429723971884140794892e 16 
)
constexpr

first radiation constant for spectral radiance: 2*h*c/sr

◆ c2()

constexpr Units AMP::Constants::c2 ( "m*K"  ,
1.438776877e 2 
)
constexpr

second radiation constant: h*c/kB

◆ ca()

constexpr Units AMP::Constants::ca ( "W*m^2"  ,
3.741771852e 16 
)
constexpr

first radiation constant: 2*pi*h*c^2

◆ dnu_Cs()

constexpr Units AMP::Constants::dnu_Cs ( "Hz"  ,
9192631770   
)
constexpr

hyperfine transition frequency of 133Cs

◆ e()

constexpr Units AMP::Constants::e ( "C"  ,
1.602176634e-  19 
)
constexpr

elementary charge

◆ Eh()

constexpr Units AMP::Constants::Eh ( "J"  ,
4.359744722207185e 18 
)
constexpr

Hartree energy: alpha^2*c^2*me.

◆ epsilon0()

constexpr Units AMP::Constants::epsilon0 ( "F*m^-1"  ,
8.854187812813e 12 
)
constexpr

vacuum electric permittivity

◆ F()

constexpr Units AMP::Constants::F ( "C*mol^-1"  ,
96485.  3321233100184 
)
constexpr

Faraday constant: NA*e.

◆ Fermi_coupling()

constexpr Units AMP::Constants::Fermi_coupling ( "GeV^-2"  ,
1.16637876e 5 
)
constexpr

Fermi coupling constant: Gf/(h_bar*c^3)

◆ G()

constexpr Units AMP::Constants::G ( "m^3 kg^-1 s^-2"  ,
6.6743015e 11 
)
constexpr

Newtonian constant of gravitation.

◆ G0()

constexpr Units AMP::Constants::G0 ( "S"  ,
7.748091729e 5 
)
constexpr

conductance quantum: 2*e^2/h

◆ G0_1()

constexpr Units AMP::Constants::G0_1 ( "ohm"  ,
12906.  40372 
)
constexpr

inverse conductance quantum: h/(2*e^2)

◆ g_e()

constexpr Units AMP::Constants::g_e ( ""  ,
-2.  0023193043625635 
)
constexpr

electron g-factor

◆ g_mu()

constexpr Units AMP::Constants::g_mu ( ""  ,
-2.  002331841813 
)
constexpr

muon g-factor

◆ g_p()

constexpr Units AMP::Constants::g_p ( ""  ,
5.  585694689316 
)
constexpr

proton g-factor

◆ h()

constexpr Units AMP::Constants::h ( "J*Hz^-1"  ,
6.62607015e 34 
)
constexpr

Planck constant.

◆ h_bar()

constexpr Units AMP::Constants::h_bar ( "J*s"  ,
1.054571817e 34 
)
constexpr

reduced Planck constant: h/(2*pi)

◆ HJ()

constexpr Units AMP::Constants::HJ ( "Hz*V^-1"  ,
483597.  8484e9 
)
constexpr

Josephson constant: 2*e/h.

◆ I0()

constexpr Units AMP::Constants::I0 ( "Wb"  ,
2.067833848e 15 
)
constexpr

magnetic flux quantum: h/(2*e)

◆ kB()

constexpr Units AMP::Constants::kB ( "J*K^-1"  ,
1.380649e 23 
)
constexpr

Boltzmann constant.

◆ ke()

constexpr Units AMP::Constants::ke ( "N*m^2*C^-2"  ,
8.  987551792314e9 
)
constexpr

Coulomb constant.

◆ m_12C()

constexpr Units AMP::Constants::m_12C ( "kg"  ,
1.9926468799260e-  26 
)
constexpr

atomic mass of carbon-12

◆ M_12C()

constexpr Units AMP::Constants::M_12C ( "kg*mol^-1"  ,
11.999999995836e 3 
)
constexpr

molar mass of carbon-12

◆ m_mu()

constexpr Units AMP::Constants::m_mu ( "kg"  ,
1.88353162742e 28 
)
constexpr

muon mass

◆ m_t()

constexpr Units AMP::Constants::m_t ( "kg"  ,
3.078453e 25 
)
constexpr

top quark mass

◆ m_tau()

constexpr Units AMP::Constants::m_tau ( "kg"  ,
3.1675421e 27 
)
constexpr

tau mass

◆ m_u()

constexpr Units AMP::Constants::m_u ( "kg"  ,
1.6605390666050e-  27 
)
constexpr

atomic mass constant: m_12C/12

◆ M_u()

constexpr Units AMP::Constants::M_u ( "kg*mol^-1"  ,
0.9999999996530e-  3 
)
constexpr

molar mass constant: M_12C/12

◆ me()

constexpr Units AMP::Constants::me ( "kg"  ,
9.109383701528e 31 
)
constexpr

electron mass

◆ mn()

constexpr Units AMP::Constants::mn ( "kg"  ,
1.6749274980495e 27 
)
constexpr

neutron mass

◆ molar_Plank()

constexpr Units AMP::Constants::molar_Plank ( "J*s*mol^-1"  ,
3.9903127128934314e 10 
)
constexpr

molar Planck constant: NA*h

◆ mp()

constexpr Units AMP::Constants::mp ( "kg"  ,
1.6726219236951e 27 
)
constexpr

proton mass

◆ mp_me()

constexpr Units AMP::Constants::mp_me ( ""  ,
1836.  1526734311 
)
constexpr

proton-to-electron mass ratio: mp/me

◆ mu0()

constexpr Units AMP::Constants::mu0 ( "N*A^-2"  ,
1.2566370621219e 6 
)
constexpr

vacuum magnetic permeability

◆ mu_B()

constexpr Units AMP::Constants::mu_B ( "J*T^-1"  ,
9.274010078328e 24 
)
constexpr

Bohr magneton: e*h_bar/(2*me)

◆ mu_N()

constexpr Units AMP::Constants::mu_N ( "J*T^-1"  ,
5.050783746115e 27 
)
constexpr

nuclear magneton: e*h_bar/(2*mp)

◆ mW_mZ()

constexpr Units AMP::Constants::mW_mZ ( ""  ,
0.  8815317 
)
constexpr

W-to-Z mass ratio: m_W/m_Z.

◆ NA()

constexpr Units AMP::Constants::NA ( "mol^-1"  ,
6.  02214076e23 
)
constexpr

Avogadro constant.

◆ quantum_circulation()

constexpr Units AMP::Constants::quantum_circulation ( "m^2*s^-1"  ,
3.636947551611e 4 
)
constexpr

quantum of circulation: h_bar/(2*me)

◆ R()

constexpr Units AMP::Constants::R ( "J*mol^-1*K^-1"  ,
8.  31446261815324 
)
constexpr

molar gas constant: NA*kB

◆ r_e()

constexpr Units AMP::Constants::r_e ( "m"  ,
2.817940326213e 15 
)
constexpr

classical electron radius: e^2*k_e/(me*c^2)

◆ R_inf()

constexpr Units AMP::Constants::R_inf ( "m^-1"  ,
10973731.  56816021 
)
constexpr

Rydberg constant: alpha^2*me*c/(2*h)

◆ RK()

constexpr Units AMP::Constants::RK ( "ohm"  ,
25812.  80745 
)
constexpr

von Klitzing constant: h/e^2

◆ Ry()

constexpr Units AMP::Constants::Ry ( "J"  ,
2.179872361103542e 18 
)
constexpr

Rydberg unit of energy: Eh/2.

◆ sigma()

constexpr Units AMP::Constants::sigma ( "W*m^-2*K^-4"  ,
5.670374419e 8 
)
constexpr

Stefan-Boltzmann constant: pi^2*kB^4/(60*k_bar^3*c^2)

◆ sigma_e()

constexpr Units AMP::Constants::sigma_e ( "m^2"  ,
6.652458732160e-  29 
)
constexpr

Thomson cross section: (8*pi/3)*r_e^2.

◆ theta_W()

constexpr Units AMP::Constants::theta_W ( ""  ,
0.  2229030 
)
constexpr

weak mixing angle: sin^2(theta)=1-(m_W/m_Z)^2

◆ Vm_Si()

constexpr Units AMP::Constants::Vm_Si ( "m^3*mol^-1"  ,
1.20588319960e-  5 
)
constexpr

molar volume of silicon

◆ Z0()

constexpr Units AMP::Constants::Z0 ( "ohm"  ,
376.  73031366857 
)
constexpr

characteristic impedance of vacuum: mu0*c

Variable Documentation

◆ pi

constexpr double AMP::Constants::pi = 3.1415926535897932
constexpr

pi

Definition at line 11 of file Constants.h.



Advanced Multi-Physics (AMP)
Oak Ridge National Laboratory
Idaho National Laboratory
Los Alamos National Laboratory
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Last updated: Tue Mar 10 2026 13:06:42.
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