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Fundamentals of SI Units

The foundation of modern metrology is the International System of Units (SI), which is used internationally to define the fundamental units of measurement. These are used to derive other units and are used to define other measurement units, such as may be used locally.

The SI consists of 28 units:

These are defined in the tables below for reference.

Base Units

Parameter SI Unit Abbreviation Definition
Length metre m The distance travelled by light in a vacuum in 1/299,792,458 s.
Mass kilogram kg The mass of a cylinder of platinum iridium alloy kept in Paris, France.
Time second s The duration of 9,192,631,770 cycles of radiation corresponding to a particular transition of the caesium-133 atom.
Electric Current ampere A The current producing a force of 2*10-7 newtons per metre of length between two long wires 1 m apart in space.
Thermodynamic Temperature kelvin K 1/273.16 of the thermodynamic triple point of water.
Luminous Intensity candela cd The luminous intensity in a given direction of a source that emits monochromatic radiation at a frequency of 540*1012 hertz, with a radiant intensity in that direction of 1/683 watts per steradian.
Amount of Substance mole m The amount of substance in a system that contains as many elementary items as there are atoms in 0.012 kg of carbon 12.

Supplementary Units

Parameter SI Unit Abbreviation Definition
Plane Angles radian rad A plane angle with vertex at the center of a circle that is subtended by an arc equal in length to the radius.
Solid Angles steradian sr The solid angle with vertex at the center of a sphere that is subtended by an area of the spherical circle equal to that of a square with sides equal in length to the radius.

Derivative Units

Parameter SI Unit Abbreviation Definition
Frequency hertz Hz 1/s
Force newton N kg*m/s²
Pressure pascal Pa N/m²
Work or Energy joule J N*m
Power watt W J/s
Electric Potential volt V W/A
Electric Resistance ohm ohm V/A
Quantity of Charge coulomb C A*s
Electric Capacitance farad F C/V
Conductance siemens S A/V
Magnetic Flux weber Wb V*s
Magnetic Flux Density tesla T Wb/²
Inductance henry H Wb/A
Celsius Temperature degree °C K
Luminous Flux lumen lm cd*sr
Illuminance lux lx lm/m²
Activity becquerel Bq 1/s
Absorbed Dose gray Gy J/kg
Dose Equivalent sievert Sv m²/s²