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SI base unit

From Wikipedia, the free encyclopedia
One of the seven units of measurement that define the metric system

The seven SI base units
SymbolNameBase quantity
ssecondtime
mmetrelength
kgkilogrammass
Aampereelectric current
Kkelvinthermodynamic temperature
molmoleamount of substance
cdcandelaluminous intensity

TheSI base units are the standardunits of measurement defined by theInternational System of Units (SI) for the sevenbase quantities of what is now known as theInternational System of Quantities: they are notably a basic set from which all otherSI units can bederived. The units and their physical quantities are thesecond fortime, themetre (sometimes spelled meter) forlength ordistance, thekilogram formass, theampere forelectric current, thekelvin forthermodynamic temperature, themole foramount of substance, and thecandela forluminous intensity. The SI base units are a fundamental part of modernmetrology, and thus part of the foundation of modern science and technology.

The SI base units form a set of mutually independent dimensions as required bydimensional analysis commonly employed in science and technology.[citation needed]

The names and symbols of SI base units are written in lowercase, except the symbols of those named after a person, which are written with an initial capital letter. For example, themetre has the symbol m, but thekelvin has symbol K, because it is named afterLord Kelvin and theampere with symbol A is named afterAndré-Marie Ampère.

Definitions

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On 20 May 2019, as the final act of the2019 revision of the SI, theBIPM officially introduced the following new definitions, replacing thepreceding definitions of the SI base units.

SI base units
NameSymbolMeasurePost-2019 formal definition[1]Historical origin / justificationDimension
symbol
secondstime"The second, symbol s, is the SI unit oftime. It is defined by taking the fixed numerical value of the caesium frequency, ∆νCs, theunperturbed ground-state hyperfine transition frequency of the caesium 133 atom, to be9192631770 when expressed in the unit Hz, which is equal to s−1."[1]The day is divided into 24 hours, each hour divided into 60 minutes, each minute divided into 60 seconds.
A second is1 / (24 × 60 × 60) of theday. Historically, a day was defined as themean solar day; i.e., the average time between two successive occurrences of local apparent solarnoon.
T
metremlength"The metre, symbol m, is the SI unit oflength. It is defined by taking the fixed numerical value of thespeed of light in vacuumc to be299792458 when expressed in the unitm s−1, where the second is defined in terms ofνCs."[1]1 / 10000000 of the distance from theEarth's equator to the North Pole measured on themeridian arc through Paris.L
kilogramkgmass"The kilogram, symbol kg, is the SI unit ofmass. It is defined by taking the fixed numerical value of thePlanck constanth to be6.62607015×10−34 when expressed in the unitJ s, which is equal tokg m2 s−1, where the metre and the second are defined in terms ofc and ∆νCs."[1]The mass of onelitre ofwater at the temperature of melting ice. A litre is one thousandth of a cubic metre.M
ampereAelectric current"The ampere, symbol A, is the SI unit ofelectric current. It is defined by taking the fixed numerical value of theelementary chargee to be1.602176634×10−19 when expressed in the unit C, which is equal toA s, where the second is defined in terms of ∆νCs."[1]The original "International Ampere" was defined electrochemically as the current required to deposit 1.118 milligrams of silver per second from a solution ofsilver nitrate.I
kelvinKthermodynamic temperature"The kelvin, symbol K, is the SI unit ofthermodynamic temperature. It is defined by taking the fixed numerical value of theBoltzmann constantk to be1.380649×10−23 when expressed in the unitJ K−1, which is equal tokg m2 s−2 K−1, where the kilogram, metre and second are defined in terms ofh,c and ∆νCs."[1]TheCelsius scale: the Kelvin scale uses the degree Celsius for its unit increment, but is a thermodynamic scale (0 K isabsolute zero).Θ
molemolamount of substance"The mole, symbol mol, is the SI unit ofamount of substance. One mole contains exactly6.022 140 76 × 1023 elementary entities. This number is the fixed numerical value of theAvogadro constant,NA, when expressed in the unit mol−1 and is called theAvogadro number.

The amount of substance, symboln, of a system is a measure of the number of specified elementary entities. An elementary entity may be an atom, a molecule, an ion, an electron, any other particle or specified group of particles."[1]

Atomic weight ormolecular weight divided by themolar mass constant, 1 g/mol.N
candelacdluminous intensity"The candela, symbol cd, is the SI unit ofluminous intensity in a given direction. It is defined by taking the fixed numerical value of theluminous efficacy of monochromatic radiation of frequency540×1012 Hz,Kcd, to be 683 when expressed in the unitlm W−1, which is equal tocdsr W−1, orcd sr kg−1 m−2 s3, where the kilogram, metre and second are defined in terms ofh,c and ∆νCs."[1]Thecandlepower, which is based on the light emitted from a burning candle of standard properties.J

2019 revision of the SI

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Main article:2019 revision of the SI
TheSI system after 1983, but before the 2019 revision: Dependence of base unit definitions on other base units (for example, themetre is defined as the distance travelled bylight in a specific fraction of asecond), with the constants of nature and artefacts used to define them (such as the mass of theIPK for the kilogram).
New SI: Dependence of base unit definitions onphysical constants with fixed numerical values and on other base units that are derived from the same set of constants. Arrows are shown in the opposite direction compared to typicaldependency graphs, i.e.ab{\displaystyle a\rightarrow b} in this chart meansb{\displaystyle b} depends ona{\displaystyle a}.

New base unit definitions were adopted on 16 November 2018, and they became effective on 20 May 2019. The definitions of the base units have been modified several times since theMetre Convention in 1875, and new additions of base units have occurred. Since the redefinition of the metre in 1960, the kilogram had been the only base unit still defined directly in terms of a physical artefact, rather than a property of nature. This led to a number of the other SI base units being defined indirectly in terms of the mass of the same artefact; themole, theampere, and thecandela were linked through their definitions to the mass of theInternational Prototype of the Kilogram, a roughly golfball-sizedplatinumiridium cylinder stored in a vault near Paris.

It has long been an objective inmetrology to define the kilogram in terms of afundamental constant, in the same way that the metre is now defined in terms of thespeed of light. The 21stGeneral 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 possibilities attracted particular attention: thePlanck constant and theAvogadro constant.

In 2005, theInternational Committee for Weights and Measures (CIPM) approved preparation of new definitions for the kilogram, the ampere, and the kelvin and it noted the possibility of a new definition of 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 CIPMConsultative Committee – Units (CCU) catalogued the uncertainties of the fundamental constants of physics according to the current definitions and their values under the proposednew definition. He urged the CIPM to accept the proposed changes in the definition of thekilogram,ampere,kelvin, andmole so that they are referenced to the values of the fundamental constants, namely thePlanck constant (h), theelementary charge (e), theBoltzmann constant (k), and theAvogadro constant (NA).[5] This approach was approved in 2018, only after measurements of these constants were achieved with sufficient accuracy.

See also

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References

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  1. ^abcdefgh"The International System of Units (SI), 9th Edition"(PDF). Bureau International des Poids et Mesures. 2019.
  2. ^94th Meeting of theInternational 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"(PDF). Archived fromthe original(PDF) on 7 August 2011.{{cite web}}: CS1 maint: numeric names: authors list (link)
  3. ^23rdGeneral Conference on Weights and Measures (2007).Resolution 12: On the possible redefinition of certain base units of the International System of Units (SI).
  4. ^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. Retrieved23 February 2010.
  5. ^Ian Mills (29 September 2010)."Draft Chapter 2 for SI Brochure, following redefinitions of the base units"(PDF). CCU. Retrieved1 January 2011.

External links

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Base units
Derived units
with special names
Other accepted units
See also
Base quantities
See also
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