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