Module dimensioned::unit_systems::si

Expand description

The International System of Units (SI)

Where experimental values are used for constants, the values are obtained from the 2014 values from The NIST Reference on Constants, Unit, and Uncertainty.

Following, we list all of the base units, derived units, and constants that are defined in this unit system.

Base Units

Constant	Unit	Print Token	Dimension
M	Meter	m	Length
KG	Kilogram	kg	Mass
S	Second	s	Time
A	Ampere	A	Current
K	Kelvin	K	Temperature
CD	Candela	cd	LuminousIntensity
MOL	Mole	mol	AmountOfSubstance

Derived Units

Constant	Unit	Unit Definition	Dimension
HZ	Hertz	Unitless / Second	Frequency
N	Newton	Kilogram * Meter / Second2	Force
PA	Pascal	Newton / Meter2	Pressure
J	Joule	Newton * Meter	Energy
W	Watt	Joule / Second	Power
C	Coulomb	Second * Ampere	Charge
V	Volt	Watt / Ampere	ElectricPotential
F	Farad	Coulomb / Volt	Capacitance
OHM	Ohm	Volt / Ampere	Resistance
SIE	Siemens	Ampere / Volt	Conductance
WB	Weber	Joule / Ampere	MagneticFlux
T	Tesla	Weber / Meter2
H	Henry	Ohm * Second	Inductance
LM	Lumen	Candela
LX	Lux	Candela / Meter2
BQ	Becquerel	Hertz
GY	Gray	Joule / Kilogram
SV	Sievert	Gray
KAT	Katal	Mole / Second
M2	Meter2	Meter * Meter	Area
M3	Meter3	Meter2 * Meter	Volume
PM	PerMeter	Unitless / Meter	ReciprocalLength
PM2	PerMeter2	PerMeter / Meter
PM3	PerMeter3	PerMeter2 / Meter
S2	Second2	Second * Second
S3	Second3	Second2 * Second
S4	Second4	Second3 * Second
PS2	PerSecond2	Unitless / Second2
PS3	PerSecond3	Unitless / Second3
PS4	PerSecond4	Unitless / Second4
MPS	MeterPerSecond	Meter / Second	Velocity
MPS2	MeterPerSecond2	Meter / Second2	Acceleration
MPS3	MeterPerSecond3	Meter / Second3	Jerk
MPS4	MeterPerSecond4	Meter / Second4
M2PS	Meter2PerSecond	Meter2 / Second
M2PS2	Meter2PerSecond2	Meter2 / Second2
M2PS3	Meter2PerSecond3	Meter2 / Second3
M3PS	Meter3PerSecond	Meter3 / Second
M3PS2	Meter3PerSecond2	Meter3 / Second2
M3PS3	Meter3PerSecond3	Meter3 / Second3
NS	NewtonSecond	Newton * Second
JS	JouleSecond	Joule * Second
NPS	NewtonPerSecond	Newton / Second
KGPM	KilogramPerMeter	Kilogram / Meter
KGPM2	KilogramPerMeter2	Kilogram / Meter2
KGPM3	KilogramPerMeter3	Kilogram / Meter3
MPKG	MeterPerKilogram	Meter / Kilogram
M2PKG	Meter2PerKilogram	Meter2 / Kilogram
M3PKG	Meter3PerKilogram	Meter3 / Kilogram
MOLPM	MolePerMeter	Mole / Meter
MOLPM2	MolePerMeter2	Mole / Meter2
MOLPM3	MolePerMeter3	Mole / Meter3
MPMOL	MeterPerMole	Meter / Mole
M2PMOL	Meter2PerMole	Meter2 / Mole
M3PMOL	Meter3PerMole	Meter3 / Mole
JPK	JoulePerKelvin	Joule / Kelvin
JPKMOL	JoulePerKelvinMole	JoulePerKelvin / Mole
JPKGK	JoulePerKilogramKelvin	JoulePerKelvin / Kilogram
JPMOL	JoulePerMole	Joule / Mole
JPKG	JoulePerKilogram	Joule / Kilogram
JPM2	JoulePerMeter2	Joule / Meter2
JPM3	JoulePerMeter3	Joule / Meter3
NPM	NewtonPerMeter	JoulePerMeter2
WPM2	WattPerMeter2	Watt / Meter2
WPMK	WattPerMeterKelvin	Watt / Meter / Kelvin
PAS	PascalSecond	Pascal * Second
CPM2	CoulombPerMeter2	Coulomb / Meter2
CPM3	CoulombPerMeter3	Coulomb / Meter3
APM2	AmperePerMeter2	Ampere / Meter2
SIEPM	SiemensPerMeter	Siemens / Meter
SIEM2PMOL	SiemensMeter2PerMole	Siemens * Meter2 / Mole
FPM	FaradPerMeter	Farad / Meter
HPM	HenryPerMeter	Henry / Meter
VPM	VoltPerMeter	Volt / Meter
APM	AmperePerMeter	Ampere / Meter
CDPM2	CandelaPerMeter2	Candela / Meter2
LMS	LumenSecond	Lumen * Second
LXS	LuxSecond	Lux * Second
CPKG	CoulombPerKilogram	Coulomb / Kilogram
GYPS	GrayPerSecond	Gray / Second
OHMM	OhmMeter	Ohm * Meter
CPM	CoulombPerMeter	Coulomb / Meter
MOLPKG	MolePerKilogram	Mole / Kilogram
KGPMOL	KilogramPerMole	Kilogram / Mole
KGPS	KilogramPerSecond	Kilogram / Second
JPT	JoulePerTesla	Joule / Tesla
WPM3	WattPerMeter3	Watt / Meter3
KPW	KelvinPerWatt	Kelvin / Watt
PK	PerKelvin	Unitless / Kelvin
KPM	KelvinPerMeter	Kelvin / Meter
M2PVS	Meter2PerVoltSecond	Meter2 / Volt / Second
JPM2S	JoulePerMeter2Second	JoulePerMeter2 / Second
PPA	PerPascal	Unitless / Pascal
PH	PerHenry	Unitless / Henry
WBPM	WeberPerMeter	Weber / Meter
WBM	WeberMeter	Weber * Meter
TM	TeslaMeter	Tesla * Meter
M3PMOLS	Meter3PerMoleSecond	Meter3 / Mole / Second
NMSPKG	NewtonMeterSecondPerKilogram	Newton * Meter * Second / Kilogram
LMPW	LumenPerWatt	Lumen / Watt
MPH	MeterPerHenry	Meter / Henry
WPM	WattPerMeter	Watt / Meter

Constants

Name	Constant	Value	Unit	Dimension
Astronomical unit	AU	149_597_870_700.0 * M	Meter	Length
Bohr radius	R_BOHR	0.52917721067e-10 * M	Meter	Length
Ångström	AO	1e-10 * M	Meter	Length
Foot	FT	0.3048 * M	Meter	Length
Inch	IN	FT / 12.0	Meter	Length
Yard	YD	3.0 * FT	Meter	Length
Mile	MI	5_280.0 * FT	Meter	Length

Tonne	TNE	1.0e3 * KG	Kilogram	Mass
Unified atomic mass unit; dalton	U	1.660539040e-27 * KG	Kilogram	Mass
Electron mass	M_E	9.10938356e-31 * KG	Kilogram	Mass
Pound mass	LB	0.45359237 * KG	Kilogram	Mass
Ounce	OZ	LB / 16.0	Kilogram	Mass

Minute	MIN	60.0 * S	Second	Time
Hour	HR	60.0 * MIN	Second	Time
Day	DAY	24.0 * HR	Second	Time

Dyne	DYN	1.0e-5 * N	Newton	Force
Pound force	LBF	4.4482216152605 * N	Newton	Force

Bar	BAR	1e5 * PA	Pascal	Pressure
Millibar	MBAR	100.0 * PA	Pascal	Pressure
Atmosphere	ATM	101_325.0 * PA	Pascal	Pressure
Barye	BA	0.1 * PA	Pascal	Pressure
Millimeter of mercury	MMHG	133.322387415 * PA	Pascal	Pressure
Torr	TORR	ATM / 760.0	Pascal	Pressure

Electronvolt	EV	E * V	Joule	Energy
Hartree energy	EH	4.359744650e-18 * J	Joule	Energy

Elementary charge	E	1.6021766208e-19 * C	Coulomb	Charge

Hectare	HA	10000.0 * M2	Meter2	Area
Are	ARE	100.0 * M2	Meter2	Area
Barn	BARN	1e-28 * M2	Meter2	Area

Liter	L	0.001 * M3	Meter3	Volume

Speed of light in a vacuum	C0	299_792_458.0 * MPS	MeterPerSecond	Velocity

Reduced Planck constant	HBAR	1.054571800e-34 * JS	JouleSecond