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Units and Unit Systems List

List of units, SI unit prefixes, and unit systems in Symbolic Math Toolbox™. For details, see Units of Measurement Tutorial. Common alternate names for units are supported and map to the name listed here. Plurals are not supported.

Units List

Length

  • Ao - angstrom

  • a_0 - Bohr radius

  • au - astronomical unit

  • ch - chain

  • ft - foot

  • ft_US - U.S. survey foot

  • ftm - fathom

  • fur - furlong

  • gg - gauge

  • hand

  • in - inch

  • inm - international nautical mile

  • land - league

  • li - link

  • line

  • ly - light-year

  • m - meter (SI)

  • mi - mile

  • mi_US - U.S. survey mile

  • mil

  • nmile - British imperial nautical mile

  • pc - parsec

  • pt - point

  • rod

  • span

  • xu - x unit

  • xu_Cu - x unit (copper)

  • xu_Mo - x unit (molybdenum)

  • yd - yard

Mass

  • Mt - metric megaton

  • ct - carat

  • cwt - U.S. customary short hundredweight

  • cwt_UK - British imperial short hundredweight

  • dalton - atomic mass constant

  • dr - dram

  • g - gram

  • gr - grain

  • hyl

  • kt - metric kiloton

  • lbm - pound mass

  • m_e - electron mass

  • oz - ounce

  • quarter

  • slug

  • stone

  • t - metric ton

  • tn - U.S. customary short ton

  • ton_UK - British imperial ton

Time

  • d - day

  • fortnight - 14 days

  • h - hour

  • min - minute

  • month_30 - 30-day month

  • s - second (SI)

  • week - 7-day week

  • year_360 - 360-day year

  • year_Julian - Julian year

  • year_Gregorian - Gregorian year

Absorbed Dose or Dose Equivalent

  • Gy - gray (SI)

  • Rad - absorbed radiation dose

  • Sv - sievert (SI)

  • rem - roentgen equivalent man

Acceleration

  • Gal - gal

  • g_n - earth gravitational acceleration

Activity

  • Bq - becquerel (SI)

  • Ci - curie

Amount of Substance

  • item - number of items

  • mol - mole (SI)

  • molecule - number of molecules

Angular Momentum

  • Nms - newton meter second

  • h_bar - reduced Planck constant

  • h_c - Planck constant

Area

  • a - are

  • ac - U.S. survey acre

  • barn

  • circ_mil - circular mil

  • circ_inch - circular inch

  • ha - metric hectare

  • ha_US - U.S. survey hectare

  • ro - rood

  • twp - township

Capacitance

  • F - farad (SI)

  • abF - abfarad

  • statF - statfarad

Catalytic Activity

  • kat - katal (SI)

Conductance

  • S - siemens (SI)

  • abS - absiemens

  • statS - statsiemens

Data Transfer Rate

  • Bd - baud

  • bps - bit per second

Digital Information

  • B - byte

  • bit - basic unit of information

Dose Equivalent

  • Sv - sievert (SI)

Dynamic Viscosity

  • P - poise

  • reyn - reynolds

Electric Charge

  • C - coulomb (SI)

  • Fr - franklin

  • abC - abcoulomb

  • e - elementary charge

  • statC - statcoulomb

Electric Current

  • A - ampere (SI)

  • Bi - biot

  • abA - abampere

  • statA - statampere

Electric Dipole Moment

  • debye

Electric Potential

  • V - volt (SI)

  • abV - abvolt

  • statV - statvolt

Electric Potential or Electromotive Force

  • V - volt (SI)

  • abV - abvolt

  • statV - statvolt

Energy or Work or Heat

  • Btu_IT - British thermal unit (International Table)

  • Btu_th - British thermal unit (thermochemical)

  • E_h - Hartree energy

  • J - joule (SI)

  • Nm - newton meter

  • Wh - watt hour

  • Ws - watt second

  • cal_4 - calorie (4 degree Celsius)

  • cal_20 - calorie (20 degree Celsius)

  • cal_15 - calorie (15 degree Celsius)

  • cal_IT - calorie (International Table)

  • cal_th - calorie (thermochemical)

  • cal_mean - calorie (mean)

  • eV - electronvolt

  • erg

  • kcal_4 - kilocalorie (4 degree Celsius)

  • kcal_20 - kilocalorie (20 degree Celsius)

  • kcal_15 - kilocalorie (15 degree Celsius)

  • kcal_IT - kilocalorie (International Table)

  • kcal_th - kilocalorie (thermochemical)

  • kcal_mean - kilocalorie (mean)

  • kpm - kilopond meter

  • therm

Energy Per Temperature

  • k_B - Boltzmann constant

European Currency

  • Cent - cent

  • EUR - Euro

Magnetic Field Strength

  • Oe - oersted

Flow Rate

  • gpm - U.S. customary gallon per minute

  • gpm_UK - British imperial gallon per minute

  • lpm - liter per minute

Force

  • N - newton (SI)

  • dyn - dyne

  • kgf - kilogram force

  • kip

  • kp - kilopond

  • lbf - pound force

  • ozf - ounce force

  • p - pond

  • pdl - poundal

  • sn - sthene

  • tonf - short ton force

Former European Currency

  • ATS - Austrian Schilling

  • BEF - Belgian Franc

  • DM - German Mark

  • ESP - Spanish Peseta

  • FIM - Finnish Markka

  • FRF - French Franc

  • IEP - Irish Pound

  • ITL - Italian Lire

  • LUF - Luxembourgian Franc

  • NLG - Dutch Gulden

  • PTE - Portugese Escudo

Frequency

  • Hz - hertz (SI)

Frequency of Rotation

  • rpm - revolution per minute

  • rps - revolution per second

Fuel Consumption

  • l_100km - liter per 100 km

Fuel Economy

  • mpg - mile per gallon

Gravity

  • G_c - Newtonian constant of gravitation

Heat

  • Btu_IT - British thermal unit (International Table)

  • Btu_th - British thermal unit (thermochemical)

  • cal_4 - calorie (4 degree Celsius)

  • cal_20 - calorie (20 degree Celsius)

  • cal_15 - calorie (15 degree Celsius)

  • cal_IT - calorie (International Table)

  • cal_th - calorie (thermochemical)

  • cal_mean - calorie (mean)

  • kcal_4 - kilocalorie (4 degree Celsius)

  • kcal_20 - kilocalorie (20 degree Celsius)

  • kcal_15 - kilocalorie (15 degree Celsius)

  • kcal_IT - kilocalorie (International Table)

  • kcal_th - kilocalorie (thermochemical)

  • kcal_mean - kilocalorie (mean)

  • therm

Illuminance

  • lx - lux (SI)

  • nx - nox

  • ph - phot

Inductance

  • H - henry (SI)

  • abH - abhenry

  • statH - stathenry

Ionising Dosage

  • R - roentgen

Kinematic Viscosity

  • St - stokes

  • newt

Luminance

  • asb - apostilb

  • sb - stilb

Luminous Flux

  • lm - lumen (SI)

Luminous Intensity

  • cd - candela (SI)

  • cp - candlepower

Magnetic Flux

  • Mx - maxwell

  • Wb - weber (SI)

  • abWb - abweber

  • statWb - statweber

Magnetic Flux Density

  • G - gauss

  • T - tesla (SI)

  • abT - abtesla

  • statT - stattesla

Magnetic Force

  • Gb - gilbert

Mass Per Length

  • den - denier

  • tex - filament tex

Particle Per Amount of Substance

  • N_A - Avogadro constant

Plane Angle

  • arcsec - arcsecond

  • arcmin - arcminute

  • deg - degree

  • rad - radian (SI)

  • rev - revolution

Power

  • HP_E - electrical horsepower

  • HP_I - mechanical horsepower

  • HP_UK - British imperial horsepower

  • HP_DIN - metric horsepower (DIN 66036)

  • PS_SAE - net horsepower (SAE J1349)

  • PS_DIN - horsepower (DIN 70020)

  • poncelet

Power

  • HP_E - electrical horsepower

  • HP_I - mechanical horsepower

  • HP_UK - British imperial horsepower

  • HP_DIN - metric horsepower (DIN 66036)

  • PS_SAE - net horsepower (SAE J1349)

  • PS_DIN - horsepower (DIN 70020)

  • W - watt (SI)

  • poncelet

Pressure

  • Ba - barye

  • Pa - pascal (SI)

  • Torr - torr

  • at - technical atmosphere

  • atm - standard atmosphere

  • bar

  • cmHg - centimeter of mercury (conventional)

  • cmH2O - centimeter of water (conventional)

  • ftHg - foot of mercury (conventional)

  • ftH2O - foot of water (conventional)

  • inHg - inch of mercury (conventional)

  • inH2O - inch of water (conventional)

  • ksf - kip per square foot

  • ksi - kip per square inch

  • mH2O - meter of water (conventional)

  • mHg - meter of mercury (conventional)

  • mmHg - millimeter of mercury (conventional)

  • mmH2O - millimeter of water (conventional)

  • psf - pound force per square foot

  • psi - pound force per square inch

  • pz - pieze

Pressure or Stress

  • Ba - barye

  • Pa - pascal (SI)

  • Torr - torr

  • at - technical atmosphere

  • atm - standard atmosphere

  • bar

  • cmHg - centimeter of mercury (conventional)

  • cmH2O - centimeter of water (conventional)

  • ftHg - foot of mercury (conventional)

  • ftH2O - foot of water (conventional)

  • inHg - inch of mercury (conventional)

  • inH2O - inch of water (conventional)

  • ksf - kip per square foot

  • ksi - kip per square inch

  • mH2O - meter of water (conventional)

  • mHg - meter of mercury (conventional)

  • mmHg - millimeter of mercury (conventional)

  • mmH2O - millimeter of water (conventional)

  • psf - pound force per square foot

  • psi - pound force per square inch

  • pz - pieze

Radiation

  • lan - langley

Radioactivity

  • Bq - becquerel (SI)

  • Ci - curie

Reciprocal Length

  • kayser

Refractive Power of Lenses

  • dpt - diopter

Resistance

  • Ohm - ohm (SI)

  • abOhm - abohm

  • statOhm - statohm

Solid Angle

  • sr - steradian (SI)

Substance Per Volume

  • molarity

Temperature

  • Celsius - degree Celsius (SI)

  • Fahrenheit - degree Fahrenheit

  • K - kelvin (SI)

  • Rankine - degree Rankine

  • Reaumur - degree Reaumur

Velocity

  • Kyne - kyne

  • c_0 - speed of light in vacuum

  • fpm - foot per minute

  • fps - foot per second

  • kmh - kilometer per hour

  • knot_UK - British imperial knot

  • kts - international knot

  • mach - speed of sound

  • mph - mile per hour

Volume

  • barrel

  • bbl - U.S. customary dry barrel

  • bu_UK - British imperial bushel

  • chaldron

  • dry_bu - U.S. customary dry bushel

  • dry_pk - U.S. customary dry peck

  • dry_pt - U.S. customary dry pint

  • dry_qt - U.S. customary dry quart

  • dry_gal - U.S. customary dry gallon

  • fldr - U.S. customary fluid dram

  • fldr_UK - British imperial fluid drachm (dram)

  • floz - U.S. customary fluid ounce

  • floz_UK - British imperial fluid ounce

  • gal - U.S. customary liquid gallon

  • gal_UK - British imperial gallon

  • gill - U.S. customary fluid gill

  • gill_UK - British imperial gill

  • igal - British imperial gallon

  • l - liter

  • liq_pt - U.S. customary liquid pint

  • liq_qt - U.S. customary liquid quart

  • minim - U.S. customary minim

  • minim_UK - British imperial minim

  • pint - U.S. customary liquid pint

  • pint_UK - British imperial pint

  • pk_UK - British imperial peck

  • pottle - British imperial pottle

  • qt_UK - British imperial quart

  • quart - U.S. customary liquid quart

SI Unit Prefixes List

SI unit prefixes in Symbolic Math Toolbox. Every unit marked by SI in the units list accepts SI prefixes. For example, m accepts nm, mcm, mm, cm, km and so on.

PrefixInput FormsExample using meters u.m where u = symunit
Yotta 1024Y, yottau.Ym, u.yottam
Zetta 1021Z, zettau.Zm, u.zettam
Exa 1018E, exau.Em, u.exam
Peta 1015P, petau.Pm, u.petam
Tera 1012T, terau.Tm, u.teram
Giga 109G, gigau.gigam, u.Gm
Mega 106M, megau.Mm, u.megam
Kilo 103k, kilou.km, u.kilom
Hecto 102h, hectou.hm, u.hectom
Deka 101da, deka, decau.dam, u.dekam, u.decam
Deci 10–1d, deciu.dm, u.decim
Centi 10–2c, centiu.cm, u.centim
Milli 10–3m, milliu.m, u.millim
Micro 10–6mc, micro, uu.mcm, u.microm, u.um
Nano 10–9n, nanou.nm, u.nanom
Pico 10–12p, picou.pm, u.picom
Femto 10–15f, femtou.fm, u.femtom
Atto 10–18a, attou.am, u.attom
Zepto 10–21z, zeptou.zm, u.zeptom
Yocto 10–24y, yoctou.ym, u.yoctom

Unit Systems List

Available units systems in Symbolic Math Toolbox are listed below. For details, see Unit Conversions and Unit Systems.

Unit SystemBase UnitsDerived Units
SI units ('SI')As defined.As defined.
CGS units ('CGS')
baseUnits('CGS')
ans =
[ [cm], [g], [s], [K]]
derivedUnits('CGS')
ans =
[ [Gal], [dyn], [erg], [Ba], [P], [St], [Celsius]]
US units ('US')
baseUnits('US')
ans =
[ [lbm], [s], [ft], [A], [cd], [mol], [K]]
derivedUnits('US')
ans =
[ [F], [C], [S], [H], [V], [Btu_IT], [lbf], [lx], [lm], [Wb],...
 [W], [psf], [Ohm], [T], [Gy], [Bq], [Sv], [Hz], [kat], [rad],...
 [sr], [Fahrenheit], [gal]]
Electrostatic units ('ESU')
baseUnits('ESU')
ans =
[ [cm], [g], [s], [K], [statC]]
derivedUnits('ESU')
ans =
[ [Gal], [dyn], [erg], [Ba], [P], [St], [Celsius], [statA], [statF],...
 [statH], [statS], [statOhm], [statT], [statV], [statWb]]
Gaussian units ('GU')
baseUnits('GU')
ans =
[ [cm], [g], [s], [K], [Fr]]
derivedUnits('GU')
ans =
[ [Gal], [dyn], [erg], [Ba], [P], [St], [Celsius], [G],...
 [Bi], [Mx], [Oe], [debye]]
Electromagnetic units ('EMU')
baseUnits('EMU')
ans =
[ [cm], [g], [s], [K], [abA]]
derivedUnits('EMU')
ans =
[ [Gal], [dyn], [erg], [Ba], [P], [St], [Celsius], [abC],...
 [abF], [abH], [abS], [abOhm], [abT], [abV], [abWb]]

See Also

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Related Topics

External Websites