Namespace containing several constants, physical and mathematical. More...

Variables
constexpr Numeric	pi = std::numbers::pi
	The following mathematical constants are generated in python Decimal package by the code:

constexpr Numeric	inv_pi = std::numbers::inv_pi
	Inverse of pi.

constexpr Numeric	two_pi = 2 * pi
	Two times pi.

constexpr Numeric	inv_two_pi = 0.5 * inv_pi
	Inverse of two pi.

constexpr Numeric	sqrt_pi = 1.0/std::numbers::inv_sqrtpi
	Square root of pi.

constexpr Numeric	inv_sqrt_pi = std::numbers::inv_sqrtpi
	Inverse of the square root of pi.

constexpr Numeric	euler = std::numbers::e
	Euler's number.

constexpr Numeric	inv_euler = 1.0 / euler
	Inverse of Euler's number.

constexpr Numeric	log10_euler = std::numbers::log10e
	Ten's logarithm of Euler's number.

constexpr Numeric	ln_10 = std::numbers::ln10
	Natural logarithm of 10.

constexpr Numeric	sqrt_2 = std::numbers::sqrt2
	Square root of 2.

constexpr Numeric	inv_sqrt_2 = 1.0 / sqrt_2
	Inverse of the square root of 2.

constexpr Numeric	ln_2 = std::numbers::ln2
	Natural logarithm of 2.

constexpr Numeric	inv_ln_2 = 1.0 / ln_2
	Inverse of the natural logarithm of 2.

constexpr Numeric	sqrt_ln_2
	Square root of natural logarithm of 2.

constexpr Numeric	inv_sqrt_ln_2
	Inverse of the square root of the natural logarithm of 2.

constexpr Numeric	Delta_nu_Cs = 9192631770
	Cesium-133 Unperturbed ground-state hyperfine transition frequency [Hz] From: https://en.wikipedia.org/wiki/2019_redefinition_of_SI_base_units Date: 2019-04-01.

constexpr Numeric	speed_of_light = 299792458
	Speed of light [m/s] From: https://en.wikipedia.org/wiki/2019_redefinition_of_SI_base_units Date: 2019-04-01.

constexpr Numeric	c = speed_of_light
	Speed of light convenience name [m/s].

constexpr Numeric	planck_constant = 6.62607015e-34
	Planck constant [J s] From: https://en.wikipedia.org/wiki/2019_redefinition_of_SI_base_units Date: 2019-04-01.

constexpr Numeric	h = planck_constant
	Planck constant convenience name [J s].

constexpr Numeric	reduced_planck_constant = h * inv_two_pi
	Reduced planck constant [J s].

constexpr Numeric	h_bar = reduced_planck_constant
	Reduced planck constant convenience name [J s].

constexpr Numeric	elementary_charge = 1.602176634e-19
	Elementary charge [C] From: https://en.wikipedia.org/wiki/2019_redefinition_of_SI_base_units Date: 2019-04-01.

constexpr Numeric	e = elementary_charge
	Elementary charge convenience name [C].

constexpr Numeric	boltzmann_constant = 1.380649e-23
	Boltzmann constant [J/K] From: https://en.wikipedia.org/wiki/2019_redefinition_of_SI_base_units Date: 2019-04-01.

constexpr Numeric	k = boltzmann_constant
	Boltzmann constant convenience name [J/K].

constexpr Numeric	avogadro_constant = 6.02214076e23
	Avogadro constant [1/mol] From: https://en.wikipedia.org/wiki/2019_redefinition_of_SI_base_units Date: 2019-04-01.

constexpr Numeric	NA = avogadro_constant
	Avogadro constant convenience name [1/mol].

constexpr Numeric	K_cd = 683
	Luminous efficacy of monochromatic 540 THz radiation [lm / W] From: https://en.wikipedia.org/wiki/2019_redefinition_of_SI_base_units Date: 2019-04-01.

constexpr Numeric	fine_structure_constant = 7.2973525693e-3
	Fine structure constant [-] From: https://physics.nist.gov/cgi-bin/cuu/Value?alph Date: 2019-06-18 Reported error: (11)

constexpr Numeric	alpha = fine_structure_constant
	Fine structure constant convenience name [-].

constexpr Numeric	rydberg_constant = 10973731.568160
	Rydberg constant [1/m] From: https://physics.nist.gov/cgi-bin/cuu/Value?ryd Date: 2016-06-18 Reported error: (21)

constexpr Numeric	R_inf = rydberg_constant
	Rydberg constant convenience name [1/m].

constexpr Numeric	magnetic_constant = 2 * h * alpha / (c * Math::pow2(e))
	Magnetic constant [H/m].

constexpr Numeric	mu_0 = magnetic_constant
	Magnetic constant convenience name [H/m].

constexpr Numeric	vacuum_permittivity = Math::pow2(e) / (2 * h * c * alpha)
	Vacuum permittivity [F/m].

constexpr Numeric	epsilon_0 = vacuum_permittivity
	Vacuum permittivity convenience name [F/m].

constexpr Numeric	electron_mass = 2 * h * R_inf / (c * Math::pow2(alpha))
	Mass of resting electron [kg].

constexpr Numeric	m_e = electron_mass
	Mass of resting electron convenience name [kg].

constexpr Numeric	unified_atomic_mass_unit = 1.66053906660e-27
	Unified atomic mass unit [kg] From: https://physics.nist.gov/cgi-bin/cuu/Value?ukg Date: 2020-02-18 Reported error: (50)

constexpr Numeric	m_u = unified_atomic_mass_unit
	Unified atomic mass unit convenience name [kg].

constexpr Numeric	mass_ratio_electrons_per_proton = 1'836.152'673'43
	Mass ratio of electrons to protons [-] From: https://physics.nist.gov/cgi-bin/cuu/Value?mpsme Date: 2020-01-08 Reported error: (11)

constexpr Numeric	proton_mass
	Mass of a proton [kg].

constexpr Numeric	mass_ratio_electrons_per_neutron = 1'838.683'661'73
	Mass ratio of electrons to protons [-] From: https://physics.nist.gov/cgi-bin/cuu/Value?mnsme Date: 2020-01-08 Reported error: (89)

constexpr Numeric	neutron_mass
	Mass of a neutron [kg].

constexpr Numeric	bohr_magneton = e * h_bar / (2 * m_e)
	Bohr magneton [J/T].

constexpr Numeric	ideal_gas_constant = k * NA
	Ideal gas constant [J/mol K].

constexpr Numeric	R = ideal_gas_constant
	Ideal gas constant convenience name [J/mol K].

constexpr Numeric	doppler_broadening_const_squared = 2'000 * R / Math::pow2(c)
	Doppler broadening constant squared [kg/T]^2.

constexpr Numeric	one_degree_in_radians = pi / 180
	One degree in radians.

constexpr Numeric	stefan_boltzmann_constant
	Stefan-Boltzmann constant [W/(K^4*m^2)].

constexpr Numeric	sigma = stefan_boltzmann_constant
	Stefan-Boltzmann constant convenience name [W/(K^4*m^2)].

constexpr Numeric	density_of_ice_at_0c = 0.9167e3
	Global constant, Density of water ice at 0C [kg/m3] source: http://en.wikipedia.org/wiki/Ice.

constexpr Numeric	denity_of_water_at_4c = 1e3
	Global constant, Density of liquid water +4C [kg/m3] source: http://en.wikipedia.org/wiki/Water.

constexpr Numeric	cosmic_microwave_background_temperature = 2.735
	Global constant, Planck temperature for cosmic background radiation [K].

constexpr Numeric	earth_radius = 6.3781e6
	Global constant, the radius of the Earth [m].

constexpr Numeric	temperature_at_0c = 273.15
	Global constant, Temperature in Celsius of 0 Kelvin.

Detailed Description

Namespace containing several constants, physical and mathematical.

Variable Documentation

◆ alpha

constexpr Numeric Constant::alpha = fine_structure_constant

inlineconstexpr

Fine structure constant convenience name [-].

Definition at line 177 of file arts_constants.h.

◆ avogadro_constant

constexpr Numeric Constant::avogadro_constant = 6.02214076e23

inlineconstexpr

Avogadro constant [1/mol] From: https://en.wikipedia.org/wiki/2019_redefinition_of_SI_base_units Date: 2019-04-01.

Definition at line 158 of file arts_constants.h.

◆ bohr_magneton

constexpr Numeric Constant::bohr_magneton = e * h_bar / (2 * m_e)

inlineconstexpr

Bohr magneton [J/T].

Definition at line 240 of file arts_constants.h.

Referenced by Zeeman::Model::Splitting().

◆ boltzmann_constant

constexpr Numeric Constant::boltzmann_constant = 1.380649e-23

inlineconstexpr

Boltzmann constant [J/K] From: https://en.wikipedia.org/wiki/2019_redefinition_of_SI_base_units Date: 2019-04-01.

Definition at line 149 of file arts_constants.h.

Referenced by setCji().

◆ c

constexpr Numeric Constant::c = speed_of_light

inlineconstexpr

Speed of light convenience name [m/s].

Definition at line 119 of file arts_constants.h.

Referenced by createBij(), dplanck_df(), dplanck_dt(), Conversion::freq2kaycm(), Conversion::freq2wavelen(), get_stepwise_f_partials(), Conversion::kaycm2freq(), planck(), Absorption::ReadFromHitran2001Stream(), Absorption::ReadFromHitran2004Stream(), Absorption::ReadFromHitranOnlineStream(), Absorption::ReadFromLBLRTMStream(), and Conversion::wavelen2freq().

◆ cosmic_microwave_background_temperature

constexpr Numeric Constant::cosmic_microwave_background_temperature = 2.735

inlineconstexpr

Global constant, Planck temperature for cosmic background radiation [K].

Author: Patrick Eriksson

Date: 08.04.2000

Definition at line 279 of file arts_constants.h.

◆ Delta_nu_Cs

constexpr Numeric Constant::Delta_nu_Cs = 9192631770

inlineconstexpr

Cesium-133 Unperturbed ground-state hyperfine transition frequency [Hz] From: https://en.wikipedia.org/wiki/2019_redefinition_of_SI_base_units Date: 2019-04-01.

Definition at line 110 of file arts_constants.h.

◆ denity_of_water_at_4c

constexpr Numeric Constant::denity_of_water_at_4c = 1e3

inlineconstexpr

Global constant, Density of liquid water +4C [kg/m3] source: http://en.wikipedia.org/wiki/Water.

Author: Jana Mendrok

Date: 2014-10-15

Definition at line 273 of file arts_constants.h.

◆ density_of_ice_at_0c

constexpr Numeric Constant::density_of_ice_at_0c = 0.9167e3

inlineconstexpr

Global constant, Density of water ice at 0C [kg/m3] source: http://en.wikipedia.org/wiki/Ice.

Author: Jana Mendrok

Date: 2014-10-15

Definition at line 266 of file arts_constants.h.

◆ doppler_broadening_const_squared

constexpr Numeric Constant::doppler_broadening_const_squared = 2'000 * R / Math::pow2(c)

inlineconstexpr

Doppler broadening constant squared [kg/T]^2.

Definition at line 249 of file arts_constants.h.

Referenced by Absorption::Lines::DopplerConstant().

◆ e

constexpr Numeric Constant::e = elementary_charge

inlineconstexpr

Elementary charge convenience name [C].

Definition at line 143 of file arts_constants.h.

Referenced by Conversion::angstrom2meter(), Conversion::hpa2bar(), Conversion::hz2ghz(), Conversion::kaycm_per_cmsquared2hz_per_msquared(), Conversion::pa2bar(), and Conversion::pa2hpa().

◆ earth_radius

constexpr Numeric Constant::earth_radius = 6.3781e6

inlineconstexpr

Global constant, the radius of the Earth [m].

Author: Patrick Eriksson

Date: 08.04.2000

Definition at line 285 of file arts_constants.h.

◆ electron_mass

constexpr Numeric Constant::electron_mass = 2 * h * R_inf / (c * Math::pow2(alpha))

inlineconstexpr

Mass of resting electron [kg].

Definition at line 202 of file arts_constants.h.

◆ elementary_charge

constexpr Numeric Constant::elementary_charge = 1.602176634e-19

inlineconstexpr

Elementary charge [C] From: https://en.wikipedia.org/wiki/2019_redefinition_of_SI_base_units Date: 2019-04-01.

Definition at line 140 of file arts_constants.h.

◆ epsilon_0

constexpr Numeric Constant::epsilon_0 = vacuum_permittivity

inlineconstexpr

Vacuum permittivity convenience name [F/m].

Definition at line 199 of file arts_constants.h.

◆ euler

constexpr Numeric Constant::euler = std::numbers::e

inlineconstexpr

Euler's number.

Definition at line 75 of file arts_constants.h.

◆ fine_structure_constant

constexpr Numeric Constant::fine_structure_constant = 7.2973525693e-3

inlineconstexpr

Fine structure constant [-] From: https://physics.nist.gov/cgi-bin/cuu/Value?alph Date: 2019-06-18 Reported error: (11)

Definition at line 174 of file arts_constants.h.

◆ h

constexpr Numeric Constant::h = planck_constant

inlineconstexpr

Planck constant convenience name [J s].

Definition at line 128 of file arts_constants.h.

Referenced by lm_hitran_2017::compabs(), lm_hitran_2017::convtp(), createBij(), dabsorption_nlte_rate_dF0(), dabsorption_nlte_rate_dT(), LineShape::SimpleFrequencyScaling::dNdf(), LineShape::SimpleFrequencyScaling::dNdF0(), LineShape::SimpleFrequencyScaling::dNdT(), dplanck_df(), dplanck_dt(), dstimulated_relative_emission_dF0(), dstimulated_relative_emission_dT(), Absorption::LineMixing::ecs_absorption_impl(), Absorption::LineMixing::eigenvalue_adaptation_of_relmat(), Absorption::Lines::F_mean(), lm_hitran_2017::hitran_lm_eigenvalue_approximation(), Conversion::hz2joule(), Conversion::joule2hz(), Conversion::joule2kaycm(), Conversion::kaycm2joule(), Absorption::LineMixing::SpeciesErrorCorrectedSuddenData::Omega(), LineShape::SimpleFrequencyScaling::operator()(), planck(), Absorption::LineMixing::PopulationAndDipole::PopulationAndDipole(), and Zeeman::Model::Splitting().

◆ h_bar

constexpr Numeric Constant::h_bar = reduced_planck_constant

inlineconstexpr

Reduced planck constant convenience name [J s].

Definition at line 134 of file arts_constants.h.

Referenced by Absorption::LineMixing::SpeciesErrorCorrectedSuddenData::Omega().

◆ ideal_gas_constant

constexpr Numeric Constant::ideal_gas_constant = k * NA

inlineconstexpr

Ideal gas constant [J/mol K].

Definition at line 243 of file arts_constants.h.

◆ inv_euler

constexpr Numeric Constant::inv_euler = 1.0 / euler

inlineconstexpr

Inverse of Euler's number.

Definition at line 78 of file arts_constants.h.

◆ inv_ln_2

constexpr Numeric Constant::inv_ln_2 = 1.0 / ln_2

inlineconstexpr

Inverse of the natural logarithm of 2.

Definition at line 96 of file arts_constants.h.

◆ inv_pi

constexpr Numeric Constant::inv_pi = std::numbers::inv_pi

inlineconstexpr

Inverse of pi.

Definition at line 60 of file arts_constants.h.

Referenced by lm_hitran_2017::compabs(), and LineShape::Lorentz::operator()().

◆ inv_sqrt_2

constexpr Numeric Constant::inv_sqrt_2 = 1.0 / sqrt_2

inlineconstexpr

Inverse of the square root of 2.

Definition at line 90 of file arts_constants.h.

Referenced by dtransmat4(), and transmat4().

◆ inv_sqrt_ln_2

constexpr Numeric Constant::inv_sqrt_ln_2

inlineconstexpr

Initial value:

=

1.201122408786449794857803286095221722566764028068699423868879896733837175546

Inverse of the square root of the natural logarithm of 2.

Definition at line 103 of file arts_constants.h.

◆ inv_sqrt_pi

constexpr Numeric Constant::inv_sqrt_pi = std::numbers::inv_sqrtpi

inlineconstexpr

Inverse of the square root of pi.

Definition at line 72 of file arts_constants.h.

◆ inv_two_pi

constexpr Numeric Constant::inv_two_pi = 0.5 * inv_pi

inlineconstexpr

Inverse of two pi.

Definition at line 66 of file arts_constants.h.

Referenced by Conversion::angcm2freq(), Conversion::angfreq2freq(), and Conversion::freq2angcm().

◆ k

constexpr Numeric Constant::k = boltzmann_constant

inlineconstexpr

Boltzmann constant convenience name [J/K].

Definition at line 152 of file arts_constants.h.

Referenced by boltzman_factor(), boltzman_ratio(), lm_hitran_2017::compabs(), lm_hitran_2017::convtp(), dabsorption_nlte_rate_dF0(), dabsorption_nlte_rate_dT(), dabsorption_nlte_rate_dTl(), dabsorption_nlte_rate_dTu(), dboltzman_ratio_dT(), dboltzman_ratio_dT_div_boltzmann_ratio(), LineShape::SimpleFrequencyScaling::dNdf(), LineShape::SimpleFrequencyScaling::dNdF0(), LineShape::SimpleFrequencyScaling::dNdT(), dnumber_density_dt(), dplanck_df(), dplanck_dt(), dstimulated_relative_emission_dF0(), dstimulated_relative_emission_dT(), Absorption::LineMixing::ecs_absorption_impl(), Absorption::LineMixing::eigenvalue_adaptation_of_relmat(), Absorption::Lines::F_mean(), lm_hitran_2017::hitran_lm_eigenvalue_approximation(), Conversion::kelvin2joule(), nlte_collision_factorsCalcFromCoeffs(), number_density(), Absorption::LineMixing::SpeciesErrorCorrectedSuddenData::Omega(), LineShape::SimpleFrequencyScaling::operator()(), planck(), Absorption::LineMixing::PopulationAndDipole::PopulationAndDipole(), and Absorption::LineMixing::SpeciesErrorCorrectedSuddenData::Q().

◆ K_cd

constexpr Numeric Constant::K_cd = 683

inlineconstexpr

Luminous efficacy of monochromatic 540 THz radiation [lm / W] From: https://en.wikipedia.org/wiki/2019_redefinition_of_SI_base_units Date: 2019-04-01.

Definition at line 167 of file arts_constants.h.

◆ ln_10

constexpr Numeric Constant::ln_10 = std::numbers::ln10

inlineconstexpr

Natural logarithm of 10.

Definition at line 84 of file arts_constants.h.

◆ ln_2

constexpr Numeric Constant::ln_2 = std::numbers::ln2

inlineconstexpr

Natural logarithm of 2.

Definition at line 93 of file arts_constants.h.

◆ log10_euler

constexpr Numeric Constant::log10_euler = std::numbers::log10e

inlineconstexpr

Ten's logarithm of Euler's number.

Definition at line 81 of file arts_constants.h.

◆ m_e

constexpr Numeric Constant::m_e = electron_mass

inlineconstexpr

Mass of resting electron convenience name [kg].

Definition at line 205 of file arts_constants.h.

◆ m_u

constexpr Numeric Constant::m_u = unified_atomic_mass_unit

inlineconstexpr

Unified atomic mass unit convenience name [kg].

Definition at line 215 of file arts_constants.h.

Referenced by Absorption::LineMixing::SpeciesErrorCorrectedSuddenData::Omega().

◆ magnetic_constant

constexpr Numeric Constant::magnetic_constant = 2 * h * alpha / (c * Math::pow2(e))

inlineconstexpr

Magnetic constant [H/m].

Definition at line 190 of file arts_constants.h.

◆ mass_ratio_electrons_per_neutron

constexpr Numeric Constant::mass_ratio_electrons_per_neutron = 1'838.683'661'73

inlineconstexpr

Mass ratio of electrons to protons [-] From: https://physics.nist.gov/cgi-bin/cuu/Value?mnsme Date: 2020-01-08 Reported error: (89)

Definition at line 233 of file arts_constants.h.

◆ mass_ratio_electrons_per_proton

constexpr Numeric Constant::mass_ratio_electrons_per_proton = 1'836.152'673'43

inlineconstexpr

Mass ratio of electrons to protons [-] From: https://physics.nist.gov/cgi-bin/cuu/Value?mpsme Date: 2020-01-08 Reported error: (11)

Definition at line 222 of file arts_constants.h.

Referenced by Zeeman::GetAdvancedModel().

◆ mu_0

constexpr Numeric Constant::mu_0 = magnetic_constant

inlineconstexpr

Magnetic constant convenience name [H/m].

Definition at line 193 of file arts_constants.h.

◆ NA

constexpr Numeric Constant::NA = avogadro_constant

inlineconstexpr

Avogadro constant convenience name [1/mol].

Definition at line 161 of file arts_constants.h.

◆ neutron_mass

constexpr Numeric Constant::neutron_mass

inlineconstexpr

Initial value:

=

electron_mass * mass_ratio_electrons_per_neutron

Constant::electron_mass

constexpr Numeric electron_mass

Mass of resting electron [kg].

Definition: arts_constants.h:202

Constant::mass_ratio_electrons_per_neutron

constexpr Numeric mass_ratio_electrons_per_neutron

Mass ratio of electrons to protons [-] From: https://physics.nist.gov/cgi-bin/cuu/Value?...

Definition: arts_constants.h:233

Mass of a neutron [kg].

Definition at line 236 of file arts_constants.h.

◆ one_degree_in_radians

constexpr Numeric Constant::one_degree_in_radians = pi / 180

inlineconstexpr

One degree in radians.

Definition at line 252 of file arts_constants.h.

Referenced by Conversion::deg2rad(), and Conversion::rad2deg().

◆ pi

constexpr Numeric Constant::pi = std::numbers::pi

inlineconstexpr

The following mathematical constants are generated in python Decimal package by the code:

import decimal as d d.getcontext().prec = 76 two = d.Decimal('2') print('sqrt_ln_2 =', two.ln().sqrt()) print('inv_sqrt_ln_2 =', 1/two.ln().sqrt())

To improve the numerical accuracy further, insert larger pi string Pi, related to circles

Definition at line 57 of file arts_constants.h.

Referenced by calc_rayleighPhaMat(), calcSingleScatteringDataProperties(), lm_hitran_2017::compabs(), integrate_phamat_theta0_phi10(), integrate_phamat_theta0_phi_alpha6(), Absorption::LineMixing::SpeciesErrorCorrectedSuddenData::Omega(), LineShape::Lorentz::operator()(), pha_mat_labCalc(), lm_hitran_2017::qsdv(), lm_hitran_2017::qsdv_si(), Legendre::schmidt(), and ze_cfac().

◆ planck_constant

constexpr Numeric Constant::planck_constant = 6.62607015e-34

inlineconstexpr

Planck constant [J s] From: https://en.wikipedia.org/wiki/2019_redefinition_of_SI_base_units Date: 2019-04-01.

Definition at line 125 of file arts_constants.h.

Referenced by setCji().

◆ proton_mass

constexpr Numeric Constant::proton_mass

inlineconstexpr

Initial value:

=

electron_mass * mass_ratio_electrons_per_proton

Constant::mass_ratio_electrons_per_proton

constexpr Numeric mass_ratio_electrons_per_proton

Mass ratio of electrons to protons [-] From: https://physics.nist.gov/cgi-bin/cuu/Value?...

Definition: arts_constants.h:222

Mass of a proton [kg].

Definition at line 225 of file arts_constants.h.

◆ R

constexpr Numeric Constant::R = ideal_gas_constant

inlineconstexpr

Ideal gas constant convenience name [J/mol K].

Definition at line 246 of file arts_constants.h.

◆ R_inf

constexpr Numeric Constant::R_inf = rydberg_constant

inlineconstexpr

Rydberg constant convenience name [1/m].

Definition at line 187 of file arts_constants.h.

◆ reduced_planck_constant

constexpr Numeric Constant::reduced_planck_constant = h * inv_two_pi

inlineconstexpr

Reduced planck constant [J s].

Definition at line 131 of file arts_constants.h.

◆ rydberg_constant

constexpr Numeric Constant::rydberg_constant = 10973731.568160

inlineconstexpr

Rydberg constant [1/m] From: https://physics.nist.gov/cgi-bin/cuu/Value?ryd Date: 2016-06-18 Reported error: (21)

Definition at line 184 of file arts_constants.h.

◆ sigma

constexpr Numeric Constant::sigma = stefan_boltzmann_constant

inlineconstexpr

Stefan-Boltzmann constant convenience name [W/(K^4*m^2)].

Definition at line 259 of file arts_constants.h.

◆ speed_of_light

constexpr Numeric Constant::speed_of_light = 299792458

inlineconstexpr

Speed of light [m/s] From: https://en.wikipedia.org/wiki/2019_redefinition_of_SI_base_units Date: 2019-04-01.

Definition at line 116 of file arts_constants.h.

Referenced by calcSingleScatteringDataProperties().

◆ sqrt_2

constexpr Numeric Constant::sqrt_2 = std::numbers::sqrt2

inlineconstexpr

Square root of 2.

Definition at line 87 of file arts_constants.h.

◆ sqrt_ln_2

constexpr Numeric Constant::sqrt_ln_2

inlineconstexpr

Initial value:

=

0.8325546111576977563531646448952010476305888522644407291668291172340794351973

Square root of natural logarithm of 2.

Definition at line 99 of file arts_constants.h.

Referenced by lm_hitran_2017::compabs(), Absorption::LineMixing::ecs_absorption_impl(), lm_hitran_2017::qsdv(), and lm_hitran_2017::qsdv_si().

◆ sqrt_pi

constexpr Numeric Constant::sqrt_pi = 1.0/std::numbers::inv_sqrtpi

inlineconstexpr

Square root of pi.

Definition at line 69 of file arts_constants.h.

Referenced by lm_hitran_2017::compabs(), Absorption::LineMixing::ecs_absorption_impl(), lm_hitran_2017::qsdv(), and lm_hitran_2017::qsdv_si().

◆ stefan_boltzmann_constant

constexpr Numeric Constant::stefan_boltzmann_constant

inlineconstexpr

Initial value:

=

Math::pow2(pi) * Math::pow4(k) / (Math::pow3(h_bar) * Math::pow2(c)) / 60.

Math::pow3

constexpr auto pow3(auto x) noexcept

power of three

Definition: arts_constexpr_math.h:24

Math::pow4

constexpr auto pow4(auto x) noexcept

power of four

Definition: arts_constexpr_math.h:27

Math::pow2

constexpr auto pow2(auto x) noexcept

power of two

Definition: arts_constexpr_math.h:21

c

#define c

Stefan-Boltzmann constant [W/(K^4*m^2)].

Definition at line 255 of file arts_constants.h.

◆ temperature_at_0c

constexpr Numeric Constant::temperature_at_0c = 273.15

inlineconstexpr

Global constant, Temperature in Celsius of 0 Kelvin.

Author: Axel von Engeln

Date: 2000-12-19

Definition at line 291 of file arts_constants.h.

◆ two_pi

constexpr Numeric Constant::two_pi = 2 * pi

inlineconstexpr

Two times pi.

Definition at line 63 of file arts_constants.h.

Referenced by Conversion::freq2angfreq(), jacobianCalcSinefit(), and pha_mat_labCalc().

◆ unified_atomic_mass_unit

constexpr Numeric Constant::unified_atomic_mass_unit = 1.66053906660e-27

inlineconstexpr

Unified atomic mass unit [kg] From: https://physics.nist.gov/cgi-bin/cuu/Value?ukg Date: 2020-02-18 Reported error: (50)

Definition at line 212 of file arts_constants.h.

◆ vacuum_permittivity

constexpr Numeric Constant::vacuum_permittivity = Math::pow2(e) / (2 * h * c * alpha)

inlineconstexpr

Vacuum permittivity [F/m].

Definition at line 196 of file arts_constants.h.

Variables

Detailed Description

Variable Documentation

◆ alpha

◆ avogadro_constant

◆ bohr_magneton

◆ boltzmann_constant

◆ c

◆ cosmic_microwave_background_temperature

◆ Delta_nu_Cs

◆ denity_of_water_at_4c

◆ density_of_ice_at_0c

◆ doppler_broadening_const_squared

◆ e

◆ earth_radius

◆ electron_mass

◆ elementary_charge

◆ epsilon_0

◆ euler

◆ fine_structure_constant

◆ h

◆ h_bar

◆ ideal_gas_constant

◆ inv_euler

◆ inv_ln_2

◆ inv_pi

◆ inv_sqrt_2

◆ inv_sqrt_ln_2

◆ inv_sqrt_pi

◆ inv_two_pi

◆ k

◆ K_cd

◆ ln_10

◆ ln_2

◆ log10_euler

◆ m_e

◆ m_u

◆ magnetic_constant

◆ mass_ratio_electrons_per_neutron

◆ mass_ratio_electrons_per_proton

◆ mu_0

◆ NA

◆ neutron_mass

◆ one_degree_in_radians

◆ pi

◆ planck_constant

◆ proton_mass

◆ R

◆ R_inf

◆ reduced_planck_constant

◆ rydberg_constant

◆ sigma

◆ speed_of_light

◆ sqrt_2

◆ sqrt_ln_2

◆ sqrt_pi

◆ stefan_boltzmann_constant

◆ temperature_at_0c

◆ two_pi

◆ unified_atomic_mass_unit

◆ vacuum_permittivity