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HEP System

Namespace: mp_units::hep

Module: mp_units.systems

Header: <mp-units/systems/hep.h>

Secondary Headers:

  • <mp-units/systems/hep/constants.h>
  • <mp-units/systems/hep/quantities.h>
  • <mp-units/systems/hep/units.h>

Dimensions

Name Symbol
dim_amount_of_substance N
dim_angle α
dim_electric_charge Q
dim_energy E
dim_length L
dim_luminous_intensity I
dim_temperature Θ
dim_time T

Quantities

Quantity Character Dimension Traits Kind of Parent Equation Hierarchy
Q_value scalar E ≥ 0 energy energy — view
absorbed_dose scalar L²T⁻² kind absorbed_dose — pow<2>(length) / pow<2>(duration) view
activity scalar T⁻¹ kind activity — inverse(duration) view
amount_of_substance scalar N kind
≥ 0		 amount_of_substance — — view
angle scalar — — — alias to angular::angle —
area scalar L² kind area — pow<2>(length) view
azimuthal_angle scalar α angular::angle angular::angle — view
binding_energy scalar E ≥ 0 energy energy — view
center_of_mass_energy scalar E ≥ 0 energy energy — view
coordinate_time scalar T kind
≥ 0		 coordinate_time duration — view
cross_section scalar L² area area — view
decay_constant scalar T⁻¹ frequency frequency — view
decay_length scalar L ≥ 0 length length — view
dimensionless scalar 1 kind dimensionless — — —
displacement vector L length length — view
duration scalar T kind
≥ 0		 duration — — view
effective_mass scalar ET²L⁻² mass mass — view
electric_capacitance scalar Q²E⁻¹ kind electric_capacitance — pow<2>(electric_charge) / energy view
electric_charge scalar Q kind electric_charge — — view
electric_current scalar QT⁻¹ kind electric_current — electric_charge / duration view
electric_potential scalar EQ⁻¹ kind electric_potential — energy / electric_charge view
electric_resistance scalar ETQ⁻² kind electric_resistance — energy * duration / pow<2>(electric_charge) view
energy scalar E kind
≥ 0		 energy — — view
excitation_energy scalar E ≥ 0 energy energy — view
force scalar EL⁻¹ kind force — energy / length view
frequency scalar T⁻¹ kind frequency — inverse(duration) view
half_life scalar T ≥ 0 duration lifetime — view
height scalar L ≥ 0 length length — view
illuminance scalar α²IL⁻² kind illuminance — luminous_flux / pow<2>(length) view
impact_parameter scalar L ≥ 0 length length — view
inductance scalar ET²Q⁻² kind inductance — pow<2>(duration) * energy / pow<2>(electric_charge) view
interaction_length scalar L kind
≥ 0		 interaction_length length — view
invariant_mass scalar ET²L⁻² mass mass — view
ionization_energy scalar E ≥ 0 energy energy — view
kinetic_energy scalar E ≥ 0 energy total_energy — view
length scalar L kind
≥ 0		 length — — view
lifetime scalar T ≥ 0 duration duration — view
lorentz_factor scalar — kind
≥ 0		 lorentz_factor dimensionless — view
luminous_flux scalar α²I kind luminous_flux — luminous_intensity * solid_angle view
luminous_intensity scalar I kind
≥ 0		 luminous_intensity — — view
magnetic_field scalar ETQ⁻¹L⁻² kind magnetic_field — duration * energy / electric_charge / pow<2>(length) view
magnetic_flux scalar ETQ⁻¹ kind magnetic_flux — duration * energy / electric_charge view
mass scalar ET²L⁻² kind mass — energy * pow<2>(duration) / pow<2>(length) view
mean_free_path scalar L ≥ 0 length length — view
mean_lifetime scalar T ≥ 0 duration lifetime — view
missing_energy scalar E ≥ 0 energy energy — view
momentum scalar ETL⁻¹ kind momentum — energy * duration / length view
nuclear_interaction_length scalar L ≥ 0 interaction_length interaction_length — view
number_density scalar L⁻³ kind number_density — inverse(volume) view
opening_angle scalar α angular::angle angular::angle — view
path_length scalar L ≥ 0 length length — view
phase scalar — kind phase dimensionless — view
polar_angle scalar α angular::angle angular::angle — view
position_vector vector L length displacement — view
power scalar ET⁻¹ kind power — energy / duration view
pressure scalar EL⁻³ kind pressure — energy / pow<3>(length) view
proper_time scalar T kind
≥ 0		 proper_time duration — view
proper_velocity vector LT⁻¹ kind proper_velocity — displacement / proper_time view
radiation_length scalar L kind
≥ 0		 radiation_length length — view
radius scalar L ≥ 0 length length — view
range scalar L ≥ 0 length length — view
reduced_mass scalar ET²L⁻² mass mass — view
relativistic_beta scalar — kind
≥ 0		 relativistic_beta dimensionless — view
rest_mass scalar ET²L⁻² mass mass — view
rest_mass_energy scalar E ≥ 0 energy total_energy — view
scattering_angle scalar α angular::angle angular::angle — view
separation_energy scalar E ≥ 0 energy binding_energy — view
solid_angle scalar — — — alias to angular::solid_angle —
speed scalar LT⁻¹ kind speed — path_length / duration view
temperature scalar Θ kind
≥ 0		 temperature — — view
threshold_energy scalar E ≥ 0 energy energy — view
time_of_flight scalar T ≥ 0 duration duration — view
total_energy scalar E ≥ 0 energy energy — view
transverse_energy scalar E ≥ 0 energy energy — view
transverse_momentum scalar ETL⁻¹ momentum momentum — view
velocity vector LT⁻¹ kind velocity — displacement / duration view
vertex_position scalar L ≥ 0 length length — view
volume scalar L³ kind volume — pow<3>(length) view
wavelength scalar L ≥ 0 length length — view
width scalar L ≥ 0 length length — view

Units

Unit Name Symbol unit_symbol Definition
ampere A — coulomb / second
angstrom Å (A) — mag_power<10, -10> * meter
astronomical_unit au — mag<149'597'870'700> * meter
atmosphere atm — mag<101'325> * pascal
bar bar — mag_power<10, 5> * pascal
barn b b mag_power<10, -28> * square(meter)
becquerel Bq Bq one / second
kind: activity
candela cd — kind: luminous_intensity
coulomb C — mag<6'241'509'074> * mag_power<10, 9> * eplus
curie Ci Ci mag_ratio<37, 10> * mag_power<10, 10> * becquerel
degree — — alias to angular::degree
electronvolt eV eV kind: energy
eplus e⁺ (e+) — kind: electric_charge
farad F — coulomb / volt
fermi — — si::femto<meter>
gauss G — mag_power<10, -4> * tesla
gradian — — alias to angular::gradian
gram g g mag_ratio<1, 1000> * joule * square(second) / square(meter)
gray Gy — joule / si::kilo<gram>
kind: absorbed_dose
halfpi — — mag_ratio<1, 2> * pi
henry H — weber / ampere
hertz Hz — one / second
kind: frequency
joule J — electronvolt * coulomb / eplus
kelvin K — kind: temperature
liter L L cubic(si::deci<meter>)
lumen lm — candela * steradian
lux lx — lumen / square(meter)
meter m m kind: length
mole mol — kind: amount_of_substance
newton N — joule / meter
ohm Ω (ohm) — volt / ampere
parsec pc pc astronomical_unit / (mag_ratio<1, 3600> * degree)
pascal Pa — newton / square(meter)
perCent — — alias to mp_units::percent
perMillion — — alias to mp_units::parts_per_million
perThousand — — alias to mp_units::per_mille
radian — — alias to angular::radian
revolution — — alias to angular::revolution
second s s kind: duration
steradian — — alias to angular::steradian
tesla T — weber / square(meter)
twopi — — mag<2> * pi
volt V — electronvolt / eplus
watt W — joule / second
weber Wb — volt * second

Constants

Name Symbol unit_symbol Definition
avogadro_constant N_A N_A mag_ratio<602'214'076, 100'000'000> * mag_power<10, 23> / mole
codata2014::atomic_mass_unit u — mag_ratio<9'314'940'954, 10'000'000> * si::mega<electronvolt> / square(speed_of_light_in_vacuum)
codata2014::bohr_magneton μ_B (mu_B) — mag_ratio<9'274'009'994, 1'000'000'000> * mag_power<10, -24> * joule / tesla
codata2014::bohr_radius a_0 — mag_ratio<52'917'721'067, 10'000'000'000> * mag_power<10, -11> * meter
codata2014::boltzmann_constant k_B — mag_ratio<86'173'303, 10'000'000> * mag_power<10, -11> * si::mega<electronvolt> / kelvin
codata2014::classical_electron_radius r_e — mag_ratio<28'179'403'227, 10'000'000'000> * mag_power<10, -15> * meter
codata2014::electron_compton_wavelength λ_C (lambda_C) — mag_ratio<24'263'102'367, 10'000'000'000> * mag_power<10, -12> * meter
codata2014::electron_mass m_e — mag_ratio<5'109'989'461, 10'000'000'000> * si::mega<electronvolt> / square(speed_of_light_in_vacuum)
codata2014::fine_structure_constant α (alpha) — mag_ratio<72'973'525'664, 10'000'000'000> * mag_power<10, -3> * one
codata2014::neutron_mass m_n — mag_ratio<9'395'654'133, 10'000'000> * si::mega<electronvolt> / square(speed_of_light_in_vacuum)
codata2014::nuclear_magneton μ_N (mu_N) — mag_ratio<5'050'783'699, 1'000'000'000> * mag_power<10, -27> * joule / tesla
codata2014::proton_mass m_p — mag_ratio<9'382'720'813, 10'000'000> * si::mega<electronvolt> / square(speed_of_light_in_vacuum)
codata2018::atomic_mass_unit u u mag_ratio<93'149'410'242, 100'000'000> * si::mega<electronvolt> / square(speed_of_light_in_vacuum)
codata2018::bohr_magneton μ_B (mu_B) mu_B mag_ratio<92'740'100'783, 10'000'000'000> * mag_power<10, -24> * joule / tesla
codata2018::bohr_radius a_0 a_0 mag_ratio<529'177'210'903, 100'000'000'000> * mag_power<10, -11> * meter
codata2018::boltzmann_constant k_B k_B mag_ratio<8'617'333'262, 1'000'000'000> * mag_power<10, -11> * si::mega<electronvolt> / kelvin
codata2018::classical_electron_radius r_e r_e mag_ratio<28'179'403'262, 10'000'000'000> * mag_power<10, -15> * meter
codata2018::electron_compton_wavelength λ_C (lambda_C) lambda_C mag_ratio<242'631'023'867, 100'000'000'000> * mag_power<10, -12> * meter
codata2018::electron_mass m_e m_e mag_ratio<51'099'895, 100'000'000> * si::mega<electronvolt> / square(speed_of_light_in_vacuum)
codata2018::fine_structure_constant α (alpha) alpha mag_ratio<72'973'525'693, 10'000'000'000> * mag_power<10, -3> * one
codata2018::neutron_mass m_n m_n mag_ratio<93'956'542'052, 100'000'000> * si::mega<electronvolt> / square(speed_of_light_in_vacuum)
codata2018::nuclear_magneton μ_N (mu_N) mu_N mag_ratio<50'507'837'461, 10'000'000'000> * mag_power<10, -27> * joule / tesla
codata2018::proton_mass m_p m_p mag_ratio<938'272'08816, 100'000'000> * si::mega<electronvolt> / square(speed_of_light_in_vacuum)
codata2022::atomic_mass_unit u — mag_ratio<93'149'410'372, 100'000'000> * si::mega<electronvolt> / square(speed_of_light_in_vacuum)
codata2022::bohr_magneton μ_B (mu_B) — mag_ratio<92'740'100'657, 10'000'000'000> * mag_power<10, -24> * joule / tesla
codata2022::bohr_radius a_0 — mag_ratio<529'177'210'544, 100'000'000'000> * mag_power<10, -11> * meter
codata2022::boltzmann_constant — — alias to codata2018::boltzmann_constant
codata2022::classical_electron_radius r_e — mag_ratio<28'179'403'205, 10'000'000'000> * mag_power<10, -15> * meter
codata2022::electron_compton_wavelength — — alias to codata2018::electron_compton_wavelength
codata2022::electron_mass m_e — mag_ratio<51'099'895'069, 100'000'000'000> * si::mega<electronvolt> / square(speed_of_light_in_vacuum)
codata2022::fine_structure_constant α (alpha) — mag_ratio<72'973'525'643, 10'000'000'000> * mag_power<10, -3> * one
codata2022::neutron_mass m_n — mag_ratio<93'956'542'194, 100'000'000> * si::mega<electronvolt> / square(speed_of_light_in_vacuum)
codata2022::nuclear_magneton μ_N (mu_N) — mag_ratio<50'507'837'393, 10'000'000'000> * mag_power<10, -27> * joule / tesla
codata2022::proton_mass m_p — mag_ratio<93'827'208'943, 100'000'000> * si::mega<electronvolt> / square(speed_of_light_in_vacuum)
elementary_charge e e eplus
gas_threshold gas_threshold — mag<10> * si::milli<gram> / cubic(si::centi<meter>)
permeability_of_vacuum μ₀ (mu_0) mu_0 mag<4> * mag_power<10, -7> * π * henry / meter
pi — — alias to mp_units::pi
planck_constant h h mag_ratio<662'607'015, 100'000'000> * mag_power<10, -34> * joule * second
speed_of_light_in_vacuum c c mag<299'792'458> * meter / second
standard_pressure P_STP — atmosphere
standard_temperature T_STP — mag_ratio<27'315, 100> * kelvin
universe_mean_density ρ_universe (rho_universe) — mag_power<10, -25> * gram / cubic(si::centi<meter>)

Inline Namespaces

The mp_units::hep::codata2018 namespace is inline in mp_units::hep, making its members directly accessible from the parent namespace.