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SI and Derived Units

SI units

Unit

Symbol

Physical Quantity

Base units

ampere

A

electric current

candela

cd

luminous intensity

kelvin

K

thermodynamic temperature

kilogram

kg

mass

meter

m

length

mole

mol

amount of substance

second

s

time

Supplementary units

radian

rad

plane angle

steradian

sr

solid angle

From The ACS Style Guide (J. S. Dodd, editor, 1986) 

Prefix multipliers

Factor

Prefix

Symbol

10–18

atto

a

10–15

femto

f

10–12

pico

p

10–9

nano

n

10–6

micro

μ

10–3

milli

m

10–2

centi

c

10–1

deci

d

101

deka

da

102

hecto

h

103

kilo

k

106

mega

M

109

giga

G

1012

tera

T

1015

peta

P

1018

exa

E

From The ACS Style Guide (J. S. Dodd, editor, 1986)

SI-derived units

Unit Symbol Quantity Equivalent Common Usage SI Base Unit Derivation 

becquerel

Bq

activity (of a radionuclide)

s–1

coulomb

C

quantity of electricity, electric charge

A·s, s·A

farad

F

capacitance

C/V

m–2·kg–1·s4·A2

gray

Gy

absorbed dose, kerma, specific energy imparted

J/kg

m2/s2

henry

H

inductance

Wb/A

m2·kg·s–2·A–2

hertz

Hz

frequency

s–1

joule

J

energy, work, quantity of heat

N·m

m2·kg·s–2

lumen

lm

luminous flux

lm

cd·sr

lux

lx

illuminance

lm/m2

m–2·cd·sr

newton

N

force

m·kg·s–2

ohm

Ω

electrical resistance

V/A

m2·kg·s–3·A–2

pascal

Pa

pressure, stress

N/m2

m–1·kg·s–2

siemens

S

conductance

A/V

m–2·kg–1·s3·A2

sievert

Sv

dose equivalent

J/kg

m2/s2

tesla

T

magnetic flux density

Wb/m2

kg·s–2·A–1

volt

V

electric potential, potential difference, electromotive force

W/A

m2·kg·s–3·A–1

watt

W

power, radiant flux

J/s

m2·kg·s–3

weber Wb magnetic flux V·s m2·kg·s–2·A–1

From The ACS Style Guide (J. S. Dodd, editor, 1986) 

SI-derived compound units

Unit

Symbol

Quantity

In Terms of Other Units

ampere per meter

A/m

magnetic field strength

ampere per square meter

A/m2

current density

candela per square meter

cd/m2

luminance

coulomb per cubic meter

C/m3

electric charge density

m–3·s·A

coulomb per kilogram

C/kg

exposure (X-ray, gamma ray)

coulomb per square meter

C/m2

electric flux density

m–2·s·A

cubic meter

m3

volume

cubic meter per kilogram

m3/kg

specific volume

farad per meter

F/m

permittivity

m–3·kg–1·s4·A2

henry per meter

H/m

permeability

m·kg·s–2·A–2

joule per cubic meter

J/m3

energy density

m–1·kg·s–2

joule per kelvin

J/K

heat capacity, entropy

m2·kg·s–2·K–1

joule per kilogram

J/kg

specific energy

m2/s2

joule per kilogram kelvin

J/(kg·K)

specific heat capacity, specific entropy

m2·s–2·K–1

joule per mole 

J/mol

molar energy

m2·kg·s–2·mol–1

joule per mole kelvin

J/(mol·K)

molar entropy, molar heat capacity

m2·kg·s–2·K–1·mol–1

kilogram per cubic meter

kg/m3

density, mass density

meter per second

m/s

speed, velocity

meter per square second

m/s2

acceleration

mole per cubic meter

mol/m3

concentration (amount of substance per unit volume)

newton meter

N·m

moment of force

m2·kg·s–2

newton per meter

N/m

surface tension

kg/s2

pascal second

Pa·s

dynamic viscosity

m–1·kg·s–1

radian per second

rad/s

angular velocity

radian per square second

rad/s2

angular acceleration

reciprocal meter

m–1

wavenumber

reciprocal second

s–1

frequency

square meter

m2

area

square meter per second

m2/s

kinematic viscosity

volt per meter

V/m

electric field strength

m·kg·s–3·A–1

watt per meter kelvin

W/(m·K)

thermal conductivity

m·kg·s–3·K–1

watt per square meter

W/m2

heat flux density, irradiance

kg/s3

watt per square meter steradian

W/(m2·sr)

radiance

watt per steradian

W/sr

radiant intensity

From The ACS Style Guide (J. S. Dodd, editor, 1986)

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last edited 07/29/03