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 names listed here. Plurals are not supported.
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
- hand
in
- inch
inm
- international nautical mile
land
- league
li
- link
line
- line
ly
- light-year
m
- meter (SI)
mi
- mile
mi_US
- U.S. survey mile
mil
- mil
nmile
- British imperial nautical mile
pc
- parsec
pica
- pica
pica_US
- U.S. customary pica
pt
- point
pt_US
- U.S. customary point
rod
- rod
span
- span
xu
- x unit
xu_Cu
- x unit (copper)
xu_Mo
- x unit (molybdenum)
yd
- yard
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 (SI)
gr
- grain
hyl
- hyl
kt
- metric kiloton
lbm
- pound mass
m_e
- electron mass
m_p
- proton mass
m_u
- atomic mass constant
oz
- ounce
quarter
- quarter
slug
- slug
stone
- stone
t
- metric ton
tn
- U.S. customary short ton
ton_UK
- British imperial ton
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
Gy
- gray (SI)
Rad
- absorbed radiation dose
Sv
- sievert (SI)
rem
- roentgen equivalent man
Gal
- gal
g_n
- earth gravitational acceleration
Bq
- becquerel (SI)
Ci
- curie
item
- number of items
mol
- mole (SI)
molecule
- number of molecules
Nms
- newton meter second
h_bar
- reduced Planck constant
h_c
- Planck constant
a
- are
ac
- acre
ac_US
- U.S. survey acre
barn
- barn
circ_mil
- circular mil
circ_inch
- circular inch
ha
- metric hectare
ha_US
- U.S. survey hectare
ro
- rood
twp
- township
F
- farad (SI)
abF
- abfarad
statF
- statfarad
e_0
- vacuum electric permittivity or electric constant
kat
- katal (SI)
G_0
- conductance quantum
S
- siemens (SI)
abS
- absiemens
statS
- statsiemens
Bd
- baud
bps
- bit per second
B
- byte
bit
- basic unit of information
Sv
- sievert (SI)
P
- poise
reyn
- reynolds
C
- coulomb (SI)
Fr
- franklin
abC
- abcoulomb
e
- elementary charge
statC
- statcoulomb
F_c
- Faraday constant
A
- ampere (SI)
Bi
- biot
abA
- abampere
statA
- statampere
debye
- debye
V
- volt (SI)
abV
- abvolt
statV
- statvolt
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
- 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
- therm
k_B
- Boltzmann constant
R_c
- molar gas constant
Cent
- cent
EUR
- Euro
gpm
- U.S. customary gallon per minute
gpm_UK
- British imperial gallon per minute
lpm
- liter per minute
N
- newton (SI)
dyn
- dyne
kgf
- kilogram force
kip
- kip
kp
- kilopond
lbf
- pound force
ozf
- ounce force
p
- pond
pdl
- poundal
sn
- sthene
tonf
- short ton force
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
- Portuguese Escudo
Hz
- hertz (SI)
dv_Cs
- caesium hyperfine transition frequency
rpm
- revolution per minute
rps
- revolution per second
l_100km
- liter per 100 km
mpg
- mile per gallon
G_c
- Newtonian constant of gravitation
lx
- lux (SI)
nx
- nox
ph
- phot
H
- henry (SI)
abH
- abhenry
statH
- stathenry
mu_0
- vacuum magnetic permeability
sigma
- Stefan–Boltzmann constant
R
- roentgen
St
- stokes
newt
- newt
asb
- apostilb
sb
- stilb
K_cd
- luminous efficacy of a defined visible radiation
lm
- lumen (SI)
cd
- candela (SI)
cp
- candlepower
Oe
- oersted
Mx
- maxwell
Wb
- weber (SI)
abWb
- abweber
statWb
- statweber
phi_0
- magnetic flux quantum
G
- gauss
T
- tesla (SI)
abT
- abtesla
statT
- stattesla
Gb
- gilbert
den
- denier
tex
- filament tex
N_A
- Avogadro constant
arcsec
- arcsecond
arcmin
- arcminute
deg
- degree
rad
- radian (SI)
rev
- revolution
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
- poncelet
Ba
- barye
Pa
- pascal (SI)
Torr
- torr
at
- technical atmosphere
atm
- standard atmosphere
bar
- 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
lan
- langley
kayser
- kayser
R_inf
- Rydberg constant
dpt
- diopter
Ohm
- ohm (SI)
abOhm
- abohm
statOhm
- statohm
sr
- steradian (SI)
molarity
- molarity
Celsius
- degree Celsius (SI)
Fahrenheit
- degree Fahrenheit
K
- kelvin (SI)
Rankine
- degree Rankine
Reaumur
- degree Reaumur
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
barrel
- barrel
bbl
- U.S. customary dry barrel
bu_UK
- British imperial bushel
chaldron
- chaldron
dry_bu
- U.S. customary dry bushel
dry_gal
- U.S. customary dry gallon
dry_pk
- U.S. customary dry peck
dry_pt
- U.S. customary dry pint
dry_qt
- U.S. customary dry quart
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 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.
Prefix | Input Forms | Example using meters u.m where u =
symunit |
---|---|---|
Yotta 1024 | Y , yotta | u.Ym , u.yottam
|
Zetta 1021 | Z , zetta | u.Zm , u.zettam |
Exa 1018 | E , exa | u.Em , u.exam |
Peta 1015 | P , peta | u.Pm , u.petam |
Tera 1012 | T , tera | u.Tm , u.teram |
Giga 109 | G , giga | u.gigam , u.Gm |
Mega 106 | M , mega | u.Mm , u.megam |
Kilo 103 | k , kilo | u.km , u.kilom |
Hecto 102 | h , hecto | u.hm , u.hectom |
Deka 101 | da , deka , deca | u.dam , u.dekam ,
u.decam |
Deci 10–1 | d , deci | u.dm , u.decim |
Centi 10–2 | c , centi | u.cm , u.centim |
Milli 10–3 | m , milli | u.mm , u.millim |
Micro 10–6 | mc , micro , u | u.mcm , u.microm , u.um |
Nano 10–9 | n , nano | u.nm , u.nanom |
Pico 10–12 | p , pico | u.pm , u.picom |
Femto 10–15 | f , femto | u.fm , u.femtom |
Atto 10–18 | a , atto | u.am , u.attom |
Zepto 10–21 | z , zepto | u.zm , u.zeptom |
Yocto 10–24 | y , yocto | u.ym , u.yoctom |
Available unit systems in Symbolic Math Toolbox are listed below. For details, see Unit Conversions and Unit Systems.
Unit System | Base Units | Derived Units |
---|---|---|
SI units ('SI' ) |
baseUnits('SI') ans = [ [kg], [s], [m], [A], [cd], [mol], [K]] |
derivedUnits('SI') ans = [ [F], [C], [S], [H], [V], [J], [N], [lx], [lm], [Wb], [W],... [Pa], [Ohm], [T], [Gy], [Bq], [Sv], [Hz], [kat], [rad], [sr],... [Celsius]] |
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]] |
In 2019, the seven SI base units were redefined in terms of seven physical constants that have exact values. These constants are represented by symbolic units as listed below.
Physical Constants | Symbolic Values |
---|---|
Caesium-133 hyperfine transition frequency (dv_Cs ) |
u = symunit; unitConvert(u.dv_Cs,'SI') ans = 9192631770*(1/[s]) |
Speed of light (c_0 ) |
u = symunit; unitConvert(u.c_0,'SI') ans = 299792458*([m]/[s]) |
Planck constant (h_c ) |
u = symunit; unitConvert(u.h_c,'SI') ans = (132521403/200000000000000000000000000000000000000000)*(([kg]*[m]^2)/[s]) |
Elementary charge (e ) |
u = symunit; unitConvert(u.e,'SI') ans = (801088317/5000000000000000000000000000)*[A]*[s] |
Boltzmann constant (k_B ) |
u = symunit; unitConvert(u.k_B,'SI') ans = (1380649/100000000000000000000000000000)*(([kg]*[m]^2)/([K]*[s]^2)) |
Avogadro constant (N_A ) |
u = symunit; unitConvert(u.N_A,'SI') ans = 602214076000000000000000*(1/[mol]) |
Luminous efficacy of a 540 THz radiation (K_cd ) |
u = symunit; unitConvert(u.K_cd,'SI') ans = 683*(([cd]*[s]^3*[sr])/([kg]*[m]^2)) |
checkUnits
| isUnit
| newUnit
| rewrite
| separateUnits
| symunit
| symunit2str
| unitConversionFactor