ablastr::constant::SI Namespace Reference

Variables
template<typename T>
constexpr auto	c_v = static_cast<T>(299'792'458)
	vacuum speed of light [m/s] (variable template)
template<typename T>
constexpr auto	epsilon_0_v = static_cast<T>(8.8541878188e-12)
	vacuum permittivity: dielectric permittivity of vacuum [F/m] (variable template)
template<typename T>
constexpr auto	mu0_v = static_cast<T>(1.2566370612685e-06)
template<typename T>
constexpr auto	q_e_v = static_cast<T>(1.602176634e-19)
	elementary charge [C] (variable template)
template<typename T>
constexpr auto	m_e_v = static_cast<T>(9.1093837139e-31)
	electron mass [kg] (variable template)
template<typename T>
constexpr auto	m_p_v = static_cast<T>(1.67262192595e-27)
	proton mass [kg] (variable template)
template<typename T>
constexpr auto	m_u_v = static_cast<T>(1.66053906892e-27)
	dalton: unified atomic mass unit [kg] (variable template)
template<typename T>
constexpr auto	hbar_v = static_cast<T>(1.0545718176461565e-34)
	reduced Planck Constant = h / tau [J*s] (variable template)
template<typename T>
constexpr auto	alpha_v = static_cast<T>(0.0072973525643330135)
template<typename T>
constexpr auto	r_e_v = static_cast<T>(2.8179403205e-15)
	classical electron radius = 1./(4*pi*epsilon_0) * q_e*q_e/(m_e*c*c) [m] (variable template)
template<typename T>
constexpr auto	xi_c2_v = static_cast<T>(1.1728865075613984e-35)
	xi times c2 = xi*c*c. This should be usable for single precision instead of xi; very close to smallest float32 number possible (1.2e-38) (variable template)
template<typename T>
constexpr auto	schwinger_field_v
	Schwinger electric field [V/m] (variable template)
template<typename T>
constexpr auto	kb_v = static_cast<T>(1.380649e-23)
	Boltzmann constant (exact) [J/K] (variable template)
template<typename T>
constexpr auto	eV_v = q_e_v<T>
	1 eV in [J] (variable template)
template<typename T>
constexpr auto	MeV_v = static_cast<T>(q_e_v<double> * 1e6)
	1 MeV in [J] (variable template)
template<typename T>
constexpr auto	eV_inv_c_v = static_cast<T>(eV_v<double> / c_v<double>)
	1 eV/c in [kg*m/s] (variable template)
template<typename T>
constexpr auto	MeV_inv_c_v = static_cast<T>(MeV_v<double> / c_v<double>)
	1 MeV/c in [kg*m/s] (variable template)
template<typename T>
constexpr auto	eV_inv_c2_v = static_cast<T>(eV_v<double> / (c_v<double> * c_v<double>))
	1 eV/c^2 in [kg] (variable template)
template<typename T>
constexpr auto	MeV_inv_c2_v = static_cast<T>(MeV_v<double> / (c_v<double> * c_v<double>))
	1 MeV/c^2 in [kg] (variable template)
template<typename T>
constexpr auto	sqrt_4_pi_fine_structure_v = static_cast<T>(0.3028221207690299)
	sqrt(4*pi*alpha) is a constant used for the Heaviside Lorentz unit system (variable template)
template<typename T>
constexpr auto	c2_v = static_cast<T>(c_v<double>*c_v<double>)
	square of the vacuum speed of light [m^2/s^2] (variable template)
template<typename T>
constexpr auto	inv_c_v = static_cast<T>(1.0/c_v<double>)
	inverse of the vacuum speed of light [s/m] (variable template)
template<typename T>
constexpr auto	inv_c2_v = static_cast<T>(1.0/c2_v<double>)
	inverse of the square of the vacuum speed of light [s^2/m^2] (variable template)
constexpr auto	c = c_v<amrex::Real>
	vacuum speed of light [m/s]
constexpr auto	epsilon_0 = epsilon_0_v<amrex::Real>
	vacuum permittivity: dielectric permittivity of vacuum [F/m]
constexpr auto	mu0 = mu0_v<amrex::Real>
	vacuum permeability: magnetic permeability of vacuum = 4.0e-7 * pi [H/m]
constexpr auto	q_e = q_e_v<amrex::Real>
	elementary charge [C]
constexpr auto	m_e = m_e_v<amrex::Real>
	electron mass [kg]
constexpr auto	m_p = m_p_v<amrex::Real>
	proton mass [kg]
constexpr auto	m_u = m_u_v<amrex::Real>
	dalton: unified atomic mass unit [kg]
constexpr auto	hbar = hbar_v<amrex::Real>
	reduced Planck Constant = h / tau [J*s]
constexpr auto	alpha = alpha_v<amrex::Real>
	fine-structure constant = mu0/(4*pi)*q_e*q_e*c/hbar [dimensionless]
constexpr auto	r_e = r_e_v<amrex::Real>
	classical electron radius = 1./(4*pi*epsilon_0) * q_e*q_e/(m_e*c*c) [m]
constexpr double	xi = 1.3050122383827227e-52
	xi: nonlinearity parameter of Heisenberg-Euler effective theory = (2.*alpha**2*epsilon_0**2*hbar**3)/(45.*m_e**4*c**5)
constexpr auto	xi_c2 = xi_c2_v<amrex::Real>
	xi times c2 = xi*c*c. This should be usable for single precision instead of xi; very close to smallest float32 number possible (1.2e-38)
template<typename T>
constexpr auto	schwinger_field = schwinger_field_v<amrex::Real>
	Schwinger electric field [V/m].
constexpr auto	kb = kb_v<amrex::Real>
	Boltzmann constant (exact) [J/K].
constexpr auto	eV = eV_v<amrex::Real>
	1 eV in [J]
constexpr auto	MeV = MeV_v<amrex::Real>
	1 MeV in [J]
constexpr auto	eV_inv_c = eV_inv_c_v<amrex::Real>
	1 eV/c in [kg*m/s]
constexpr auto	MeV_inv_c = MeV_inv_c_v<amrex::Real>
	1 MeV/c in [kg*m/s]
constexpr auto	eV_inv_c2 = eV_inv_c2_v<amrex::Real>
	1 eV/c^2 in [kg]
constexpr auto	MeV_inv_c2 = MeV_inv_c2_v<amrex::Real>
	1 MeV/c^2 in [kg]
constexpr auto	c2 = c2_v<amrex::Real>
	square of the vacuum speed of light [m^2/s^2]
constexpr auto	inv_c = inv_c_v<amrex::Real>
	inverse of the vacuum speed of light [s/m]
constexpr auto	inv_c2 = inv_c2_v<amrex::Real>
	inverse of the square of the vacuum speed of light [s^2/m^2]

Detailed Description

Physical constants

Values are the 2022 CODATA recommended values https://physics.nist.gov/cuu/Constants/index.html

New additions here should also be considered for addition to warpx_constants in WarpXUtil.cpp's makeParser, so that they're available in parsing and evaluation of PICMI expressions, as well as the corresponding Python definitions.

Note: _v suffix is used for variable templates (as in C++ 20's numbers library)

Variable Documentation

alpha

auto ablastr::constant::SI::alpha = alpha_v<amrex::Real>

constexpr

fine-structure constant = mu0/(4*pi)*q_e*q_e*c/hbar [dimensionless]

alpha_v

template<typename T>

auto ablastr::constant::SI::alpha_v = static_cast<T>(0.0072973525643330135)

constexpr

fine-structure constant = mu0/(4*pi)*q_e*q_e*c/hbar [dimensionless] (variable template) The value is calculated from the expression. This differs slightly from the CODATA2022 value 0.0072973525643.

c

auto ablastr::constant::SI::c = c_v<amrex::Real>

constexpr

vacuum speed of light [m/s]

c2

auto ablastr::constant::SI::c2 = c2_v<amrex::Real>

constexpr

square of the vacuum speed of light [m^2/s^2]

c2_v

template<typename T>

auto ablastr::constant::SI::c2_v = static_cast<T>(c_v<double>*c_v<double>)

constexpr

square of the vacuum speed of light [m^2/s^2] (variable template)

c_v

template<typename T>

auto ablastr::constant::SI::c_v = static_cast<T>(299'792'458)

constexpr

vacuum speed of light [m/s] (variable template)

epsilon_0

auto ablastr::constant::SI::epsilon_0 = epsilon_0_v<amrex::Real>

constexpr

vacuum permittivity: dielectric permittivity of vacuum [F/m]

epsilon_0_v

template<typename T>

auto ablastr::constant::SI::epsilon_0_v = static_cast<T>(8.8541878188e-12)

constexpr

vacuum permittivity: dielectric permittivity of vacuum [F/m] (variable template)

eV

auto ablastr::constant::SI::eV = eV_v<amrex::Real>

constexpr

1 eV in [J]

eV_inv_c

auto ablastr::constant::SI::eV_inv_c = eV_inv_c_v<amrex::Real>

constexpr

1 eV/c in [kg*m/s]

eV_inv_c2

auto ablastr::constant::SI::eV_inv_c2 = eV_inv_c2_v<amrex::Real>

constexpr

1 eV/c^2 in [kg]

eV_inv_c2_v

template<typename T>

auto ablastr::constant::SI::eV_inv_c2_v = static_cast<T>(eV_v<double> / (c_v<double> * c_v<double>))

constexpr

1 eV/c^2 in [kg] (variable template)

eV_inv_c_v

template<typename T>

auto ablastr::constant::SI::eV_inv_c_v = static_cast<T>(eV_v<double> / c_v<double>)

constexpr

1 eV/c in [kg*m/s] (variable template)

eV_v

template<typename T>

auto ablastr::constant::SI::eV_v = q_e_v<T>

constexpr

1 eV in [J] (variable template)

hbar

auto ablastr::constant::SI::hbar = hbar_v<amrex::Real>

constexpr

reduced Planck Constant = h / tau [J*s]

hbar_v

template<typename T>

auto ablastr::constant::SI::hbar_v = static_cast<T>(1.0545718176461565e-34)

constexpr

reduced Planck Constant = h / tau [J*s] (variable template)

inv_c

auto ablastr::constant::SI::inv_c = inv_c_v<amrex::Real>

constexpr

inverse of the vacuum speed of light [s/m]

inv_c2

auto ablastr::constant::SI::inv_c2 = inv_c2_v<amrex::Real>

constexpr

inverse of the square of the vacuum speed of light [s^2/m^2]

inv_c2_v

template<typename T>

auto ablastr::constant::SI::inv_c2_v = static_cast<T>(1.0/c2_v<double>)

constexpr

inverse of the square of the vacuum speed of light [s^2/m^2] (variable template)

inv_c_v

template<typename T>

auto ablastr::constant::SI::inv_c_v = static_cast<T>(1.0/c_v<double>)

constexpr

inverse of the vacuum speed of light [s/m] (variable template)

kb

auto ablastr::constant::SI::kb = kb_v<amrex::Real>

constexpr

Boltzmann constant (exact) [J/K].

kb_v

template<typename T>

auto ablastr::constant::SI::kb_v = static_cast<T>(1.380649e-23)

constexpr

Boltzmann constant (exact) [J/K] (variable template)

m_e

auto ablastr::constant::SI::m_e = m_e_v<amrex::Real>

constexpr

electron mass [kg]

m_e_v

template<typename T>

auto ablastr::constant::SI::m_e_v = static_cast<T>(9.1093837139e-31)

constexpr

electron mass [kg] (variable template)

m_p

auto ablastr::constant::SI::m_p = m_p_v<amrex::Real>

constexpr

proton mass [kg]

m_p_v

template<typename T>

auto ablastr::constant::SI::m_p_v = static_cast<T>(1.67262192595e-27)

constexpr

proton mass [kg] (variable template)

m_u

auto ablastr::constant::SI::m_u = m_u_v<amrex::Real>

constexpr

dalton: unified atomic mass unit [kg]

m_u_v

template<typename T>

auto ablastr::constant::SI::m_u_v = static_cast<T>(1.66053906892e-27)

constexpr

dalton: unified atomic mass unit [kg] (variable template)

MeV

auto ablastr::constant::SI::MeV = MeV_v<amrex::Real>

constexpr

1 MeV in [J]

MeV_inv_c

auto ablastr::constant::SI::MeV_inv_c = MeV_inv_c_v<amrex::Real>

constexpr

1 MeV/c in [kg*m/s]

MeV_inv_c2

auto ablastr::constant::SI::MeV_inv_c2 = MeV_inv_c2_v<amrex::Real>

constexpr

1 MeV/c^2 in [kg]

MeV_inv_c2_v

template<typename T>

auto ablastr::constant::SI::MeV_inv_c2_v = static_cast<T>(MeV_v<double> / (c_v<double> * c_v<double>))

constexpr

1 MeV/c^2 in [kg] (variable template)

MeV_inv_c_v

template<typename T>

auto ablastr::constant::SI::MeV_inv_c_v = static_cast<T>(MeV_v<double> / c_v<double>)

constexpr

1 MeV/c in [kg*m/s] (variable template)

MeV_v

template<typename T>

auto ablastr::constant::SI::MeV_v = static_cast<T>(q_e_v<double> * 1e6)

constexpr

1 MeV in [J] (variable template)

mu0

auto ablastr::constant::SI::mu0 = mu0_v<amrex::Real>

constexpr

vacuum permeability: magnetic permeability of vacuum = 4.0e-7 * pi [H/m]

mu0_v

template<typename T>

auto ablastr::constant::SI::mu0_v = static_cast<T>(1.2566370612685e-06)

constexpr

vacuum permeability: magnetic permeability of vacuum = 4.0e-7 * pi [H/m] (variable template) Note that this is adjusted from the CODATA2022 value, 1.25663706127e-06 So that the relation between mu0, epsilon_0, and c is exact

q_e

auto ablastr::constant::SI::q_e = q_e_v<amrex::Real>

constexpr

elementary charge [C]

q_e_v

template<typename T>

auto ablastr::constant::SI::q_e_v = static_cast<T>(1.602176634e-19)

constexpr

elementary charge [C] (variable template)

r_e

auto ablastr::constant::SI::r_e = r_e_v<amrex::Real>

constexpr

classical electron radius = 1./(4*pi*epsilon_0) * q_e*q_e/(m_e*c*c) [m]

r_e_v

template<typename T>

auto ablastr::constant::SI::r_e_v = static_cast<T>(2.8179403205e-15)

constexpr

classical electron radius = 1./(4*pi*epsilon_0) * q_e*q_e/(m_e*c*c) [m] (variable template)

schwinger_field

template<typename T>

auto ablastr::constant::SI::schwinger_field = schwinger_field_v<amrex::Real>

constexpr

Schwinger electric field [V/m].

schwinger_field_v

template<typename T>

auto ablastr::constant::SI::schwinger_field_v

constexpr

Initial value:

= static_cast<T>(
            (m_e_v<double>*m_e_v<double>)*(c_v<double>*c_v<double>*c_v<double>)/(hbar_v<double>*q_e_v<double>))

Schwinger electric field [V/m] (variable template)

sqrt_4_pi_fine_structure_v

template<typename T>

auto ablastr::constant::SI::sqrt_4_pi_fine_structure_v = static_cast<T>(0.3028221207690299)

constexpr

sqrt(4*pi*alpha) is a constant used for the Heaviside Lorentz unit system (variable template)

xi

double ablastr::constant::SI::xi = 1.3050122383827227e-52

constexpr

xi: nonlinearity parameter of Heisenberg-Euler effective theory = (2.*alpha**2*epsilon_0**2*hbar**3)/(45.*m_e**4*c**5)

xi_c2

auto ablastr::constant::SI::xi_c2 = xi_c2_v<amrex::Real>

constexpr

xi times c2 = xi*c*c. This should be usable for single precision instead of xi; very close to smallest float32 number possible (1.2e-38)

xi_c2_v

template<typename T>

auto ablastr::constant::SI::xi_c2_v = static_cast<T>(1.1728865075613984e-35)

constexpr

xi times c2 = xi*c*c. This should be usable for single precision instead of xi; very close to smallest float32 number possible (1.2e-38) (variable template)