SI base unit

The seven SI base units and the interdependency of their definitions: for example, to extract the definition of the metre from the speed of light, the definition of the second must be known while the ampere and candela are both dependent on the definition of energy which in turn is defined in terms of length, mass and time.

The International System of Units (SI) defines seven units of measure as a basic set from which all other SI units are derived. The SI base units and their physical quantities are:

The SI base quantities form a set of mutually independent dimensions as required by dimensional analysis commonly employed in science and technology. However, in a given realization in these units they may well be interdependent, i.e. defined in terms of each other.

The names and symbols of SI base units are written in lowercase (e.g. metre (US English: meter) has the symbol m), except the symbols of those named after persons which are written with an initial capital letter (i.e., the kelvin after Lord Kelvin has the symbol K and the ampere after André-Marie Ampère has the symbol A).

Many other units, such as the litre (US English: liter), are formally not part of the SI, but are accepted for use with SI.

The seven SI base units

SI base units
Name	Symbol	Measure	Current (2005) formal definition^[1]	Historical origin / justification	Dimension symbol
metre	m	length	"The metre is the length of the path travelled by light in vacuum during a time interval of 1 ⁄ 7008299792458000000♠299792458 of a second." 17th CGPM (1983, Resolution 1, CR, 97)	1 ⁄ 10,000,000 of the distance from the Earth's equator to the North Pole measured on the circumference through Paris.	L
kilogram	kg	mass	"The kilogram is the unit of mass; it is equal to the mass of the international prototype of the kilogram." 3rd CGPM (1901, CR, 70)	The mass of one litre of water. A litre is one thousandth of a cubic metre.	M
second	s	time	"The second is the duration of 7009919263177000000♠9192631770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium 133 atom." 13th CGPM (1967/68, Resolution 1; CR, 103) "This definition refers to a caesium atom at rest at a temperature of 0 K." (Added by CIPM in 1997)	The day is divided in 24 hours, each hour divided in 60 minutes, each minute divided in 60 seconds. A second is 1 ⁄ (24 × 60 × 60) of the day.	T
ampere	A	electric current	"The ampere is that constant current which, if maintained in two straight parallel conductors of infinite length, of negligible circular cross-section, and placed 1 metre apart in vacuum, would produce between these conductors a force equal to 2 × 10⁻⁷ newton per metre of length." 9th CGPM (1948)	The original "International Ampere" was defined electrochemically as the current required to deposit 1.118 milligrams of silver per second from a solution of silver nitrate. Compared to the SI ampere, the difference is 0.015%.	I
kelvin	K	thermodynamic temperature	"The kelvin, unit of thermodynamic temperature, is the fraction 1 ⁄ 7002273160000000000♠273.16 of the thermodynamic temperature of the triple point of water." 13th CGPM (1967/68, Resolution 4; CR, 104) "This definition refers to water having the isotopic composition defined exactly by the following amount of substance ratios: 0.000 155 76 mole of ²H per mole of ¹H, 0.000 379 9 mole of ¹⁷O per mole of ¹⁶O, and 0.002 005 2 mole of ¹⁸O per mole of ¹⁶O." (Added by CIPM in 2005)	The Celsius scale: the Kelvin scale uses the degree Celsius for its unit increment, but is a thermodynamic scale (0 K is absolute zero).	Θ
mole	mol	amount of substance	"1. The mole is the amount of substance of a system which contains as many elementary entities as there are atoms in 0.012 kilogram of carbon 12; its symbol is 'mol.' 2. 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." 14th CGPM (1971, Resolution 3; CR, 78) "In this definition, it is understood that unbound atoms of carbon 12, at rest and in their ground state, are referred to." (Added by CIPM in 1980)	Atomic weight or molecular weight divided by the molar mass constant, 1 g/mol.	N
candela	cd	luminous intensity	"The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 7014540000000000000♠540×10¹² hertz and that has a radiant intensity in that direction of 1/683 watt per steradian." 16th CGPM (1979, Resolution 3; CR, 100)	The candlepower, which is based on the light emitted from a burning candle of standard properties.	J

Proposed redefinitions

Main article: Proposed redefinition of SI base units

Proposed SI System: Dependence of base unit definitions on physical constants with fixed values and on other base units that are derived from the same set of constants.

There have been several modifications to the definitions of the base units, and additions of base units, since the Metre Convention in 1875. Since the redefinition of the metre in 1960, the kilogram is the only unit which is directly defined in terms of a physical artifact rather than a property of nature. However, the mole, the ampere and the candela are also linked through their definitions to the mass of this platinum–iridium cylinder stored in a vault near Paris. It has long been an objective of metrology to find a way to define the kilogram in terms of a fundamental constant, in the same way that the metre is now defined in terms of the speed of light.

The 21st General Conference on Weights and Measures (CGPM, 1999) placed these efforts on an official footing, and recommended "that national laboratories continue their efforts to refine experiments that link the unit of mass to fundamental or atomic constants with a view to a future redefinition of the kilogram." Two main possibilities have attracted attention: the Planck constant and the Avogadro constant.

In 2005, the International Committee for Weights and Measures (CIPM) approved the preparation of new definitions for the kilogram, the ampere, and the kelvin and it noted the possibility of a new definition for the mole based on the Avogadro constant.^[2] The 23rd CGPM (2007) decided to postpone any formal change until the next General Conference in 2011.^[3]

In a note to the CIPM in October 2009,^[4] Ian Mills, the President of the CIPM Consultative Committee - Units (CCU) cataloged the uncertainties of the fundamental constants of physics according to the current definitions and their values under the proposed new definition. He urged the CIPM to accept the proposed changes in the definition of the kilogram, ampere, kelvin and mole so that they are referenced to the values of the fundamental constants, namely Planck's constant (h), the electron charge (e), Boltzmann's constant (k), and Avogadro's constant (N_A).^[5]

References

↑ International Bureau of Weights and Measures (2006), The International System of Units (SI) (PDF) (8th ed.), ISBN 92-822-2213-6
↑ 94th Meeting of the International Committee for Weights and Measures (2005). Recommendation 1: Preparative steps towards new definitions of the kilogram, the ampere, the kelvin and the mole in terms of fundamental constants
↑ 23rd General Conference on Weights and Measures (2007). Resolution 12: On the possible redefinition of certain base units of the International System of Units (SI).
↑ Ian Mills, President of the CCU (October 2009). "Thoughts about the timing of the change from the Current SI to the New SI" (PDF). CIPM. Retrieved 2010-02-23.
↑ Ian Mills (29 September 2010). "Draft Chapter 2 for SI Brochure, following redefinitions of the base units" (PDF). CCU. Retrieved 2011-01-01.

External links

SI units

Base units	ampere candela kelvin kilogram metre mole second

Derived units with special names	becquerel coulomb degree Celsius farad gray henry hertz joule katal lumen lux newton ohm pascal radian siemens sievert steradian tesla volt watt weber

Other accepted units	astronomical unit dalton day decibel degree Celsius degree of arc electronvolt hectare hour litre minute minute of arc neper second of arc tonne atomic units natural units

See also	Conversion of units History of the metric system Metric prefixes Proposed redefinitions Systems of measurement

Book Category Outline

SI base quantities

Base quantity

Quantity			SI unit
Name	Symbol	Dimension symbol	Unit name (symbol)	Example
length	l, x, r, (etc.)	L	metre (m)	r = 10 m
mass	m	M	kilogram (kg)	m = 10 kg
time, duration	t	T	second (s)	t = 10 s
electric current	I , i	I	ampere (A)	I = 10 A
thermodynamic temperature	T	Θ	kelvin (K)	T = 10 K
amount of substance	n	N	mole (mol)	n = 10 mol
luminous intensity	I_v	J	candela (cd)	I_v = 10 cd

Specification

The quantity (not the unit) can have a specification: T_max = 300 K

Derived quantity

Definition	A quantity Q is expressed in the base quantities: $Q =f\left(\mathit{l, m, t, I, T, n, I}\mathrm{_v}\right)$

Derived dimension	dim Q = L^a · M^b · T^c · I^d · Θ^e · N^f · J^g (Superscripts a–g are algebraic exponents, usually a positive, negative or zero integer.)

Example	Quantity acceleration = l¹ · t⁻², dim acceleration = L¹ · T⁻² possible units: m¹ · s⁻², km¹ · Ms⁻², etc.

SI base unit

The seven SI base units

Proposed redefinitions

See also

References

External links