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Units and Dimensional Analysis > Units > Systems of Units v
Physics Contributors > Romero v

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Portions of this entry contributed by Dana Romero

"SI" stands for "System International" and is the set of physical units agreed upon by international convention. The SI units are sometimes also known as MKS units, where MKS stands for "meter, kilogram, and second." In 1939, the CCE recommended the adoption of a system of units based on the meter, kilogram, second, and ampere. This proposal was approved by the Comité International des Poids et Mesures (CIPM) in 1946. Following an international inquiry by the Bureau International des Poids et Mesures (BIPM), which began in 1948, in 1954 the 10th Conférence Générale des Poids et Mesures (CGPM) approved the introduction of the ampere, kelvin, and candela as base units for electric current, thermodynamic temperature, and luminous intensity, respectively. However, the ampere is scheduled to be phased out as a base unit in the near future in favor of the ohm, which can be measured extremely accurately using the quantum Hall effect. In turn, the volt will probably replace the ohm further in the future when measurements using Josephson junctions increase in precision.

The name International System of Units (SI) was given to the system by the 11th CGPM in 1960. At the 14th CGPM in 1971, the current version of the SI was completed by adding the mole as base unit for amount of substance, bringing the total number of base units to seven. The seven fundamental units are summarized in the following table.

physical quantity symbol unit abbreviation unit name
length l m meter
mass m kg kilogram
time t s second
current I A Ampere
temperature T K Kelvin
luminous intensity   cd candela
amount of substance n mol mole

The derived SI units consist of combinations of the seven base units, and are summarized in the following table.

quantity symbol SI symbol SI unit
area A Image square meter
volume V Image cubic meter
plane angle Image rad radian
solid angle Image sterrad steradian
frequency f Hz Hertz
velocity v Image meters per second
acceleration a Image meters per second squared
force F N Newton
pressure P or p Pa Pascal
power P W Watt
energy E J Joule
voltage V V Volt
resistance R Image Ohm
conductance G S Siemens
charge Q C Coulomb
capacitance C F Farad
magnetic flux Image Wb Weber
magnetic flux density B T Tesla
inductance L H Henry
luminous flux F lm lumen
illumination E lx lux
activity A Bq Becquerel
energy dose   Gy Gray
equivalent dose   Sv Sievert

In 1960, the 11th CGPM adopted a first series of prefixes and symbols of prefixes to form the names and symbols of decimal multiples and submultiples of SI units. Over the years, the list has been extended as summarized in the following table.

factor prefix symbol
1024 yotta- Y
1021 zetta- Z
1018 exa- E
1015 peta- P
1012 tera- T
109 giga- G
106 mega- M
103 kilo- k
102 hecto- h
101 deca- da
Image deci- d
Image centi- c
Image milli- m
Image micro- Image
Image nano- n
Image pico- p
Image femto- f
Image atto- a
Image zepto- z
Image yocto- y

Imagecgs, Metric System, MKS


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References

ASTM. Standard for Metric Practice. Publication E380-79. ASTM, 1979. Superseded by IEEE/ASTM SI10-1997.

Bureau International des Poids et Mesures. "The International System of Units (SI)." http://www.bipm.fr/enus/3_SI/.

Bureau International des Poids et Mesures. "The International System of Units (SI), 7th ed." 1998. http://www1.bipm.org/en/si/si_brochure/.

Bureau International des Poids et Mesures. "SI Prefixes." http://www.bipm.fr/enus/3_SI/si-prefixes.html.

IEEE/ASTM. Standard for the Use of the International System of Units (SI): The Modern Metric System. Publication SI10-1997 (STD 268). 1997.

Jackson, J. D. "Conversion of Equations and Amounts between SI Units and Gaussian Units." Appendix §4 in Classical Electrodynamics, 3rd ed. New York: Wiley, pp. 783-784, 1998.

National Institute of Standards and Technology. "International System of Units." http://physics.nist.gov/cuu/Units/.

Page, C. and Vigoureux, P. (Eds.). "The International Bureau of Weights and Measures 1875-1975." NBS Special Publication 420, 1975 Edition.

Taylor, B. N. "Guide for the Use of the International System of Units (SI)." NIST Special Publication 811, 1995 Edition. http://physics.nist.gov/Document/sp811.pdf.

Taylor, B. N. (Ed.). "The International System of Units (SI)." NIST Special Publication 330, 1991 Edition. http://physics.nist.gov/Document/sp330.pdf.



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