The International System of Units (SI)

The following base units have been adopted and defined:

The Seven SI Base Units
Physical Quantity Dimension Symbol Unit Name Unit Symbol
Mass M kilogram kg
Length L meter m
Time T second s
Temperature Q kelvin K
Amount of Substance N mole mol
Electric Current I ampere A
Luminous Intensity J candela cd
The Two SI Supplementary Units
Physical Quantity Dimension Symbol Unit Name Unit Symbol
Plane Angle a radian rad
Solid Angle W steradian sr
* These are non-dimensional units that are sometimes included in the dimensional expression of a unit for clarity purposes.
Meter: The meter is the length of the path traveled by light in vacuum during a time interval of 1/299,792,458 second.
Kilogram: The kilogram is the unit of mass equal to the mass of the international prototype of kilogram.
Second: The second is the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levers (F=4, mF=0 to F=3, mF=0) of the ground state of the cesium 133 atom.
Ampere: The ampere is the constant current which, if maintained in two straight parallel conductors of infinite length, of negligible circular cross-section, and placed 1 meter apart in vacuum, would produce between these conductors a force equal to 2x10-7 newton per meter of length.
Named in honour of the 19th-century French physicist André-Marie Ampére.
Kelvin: The kelvin, unit of thermodynamic temperature is the fraction 1/273.16 of the thermodynamic temperature of the triple point of water.
Named in honour of the British physicist William Thomson, Baron Kelvin.
Mole: The mole is the amount of substance of a system which contains as many elementary entities as there are atoms in .012 kg of carbon 12 (6.0221367x10²³ atoms "Avogadro's number"). When the mole is used, the elementary entities must be specified and may be atoms, molecules, ions, electrons, other particles, or specified groups of such particles. In this definition, it is understood that the carbon 12 atoms are unbound, at rest and in their ground state.
(A mole also bears the name Avogadro's number, or Avogadro's constant, in honour of the Italian physicist Amedeo Avogadro (1776-1856). Avogadro proposed that equal volumes of gases under the same conditions contain the same number of molecules, a hypothesis that proved useful in determining atomic and molecular weights and which led to the concept of the mole.)
Candela: The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 540x1012 Hz and that has a radiant intensity in that direction of 1/683 watt per steradian.

Examples of SI Derived Units
Unit Special Name Symbol    Equivalent
plane angle radian rad 1
solid angle steradian sr 1
angular velocity     rad/s
angular acceleration     rad/²
frequency hertz Hz s-1
speed, velocity     m/s
acceleration     m/s²
force newton N kg m/s²
pressure, stress pascal Pa N/m²
energy, work, heat joule J kg m²/s², N m
power watt W kg m²/s², J/s
power flux density     W/m²
linear momentum, impulse     kg m/s, N s
angular momentum     kg m²/s, N m s
electric charge coulomb C A s
electric potential emf volt  V W/A, J/C
magnetic flux weber Wb V s
resistance ohm   V/A
conductance siemens S A/V, -1
inductance henry H Wb/A
capacitance farad F C/V
electric field strength     V/m, N/C
electric displacement     C/m²
magnetic field strength     A/m
magnetic flux density tesla T Wb/m², N/(A m)
Celsius temperature degree Celsius C K
luminous flux lumen lm cd sr
illuminance lux lx lm/m²
radioactivity becquerel Bq s-1

SI Prefixes
Factor   Prefix   Symbol   Factor   Prefix   Symbol
1024 yotta Y 10-1 deci d
1021 zetta Z 10-2 centi c
1018 exa E 10-3 milli m
1015 peta P 10-6 micro µ
1012 tera T 10-9 nano n
109 giga G 10-12 pico p
106 mega M 10-15 femto f
103 kilo k 10-18 atto a
102 hecto h 10-21 zepto z
101 deka d 10-24 yocto yze

N C Ricketts.
Copyright (c) 1999 2009 N C Ricketts All rights reserved. Last revised: December 20, 2008