Historical definitions of the SI base units
{{Lead too short|date=January 2024|reason=No lede at all, really}}
Since its introduction in 1960, the base units for the International system of units, known as SI, have changed several times. Tables in this article summarize those changes.
Background for the tables
When Maxwell first introduced the concept of a coherent system, he identified three quantities that could be used as base units: mass, length, and time. Giorgi later identified the need for an electrical base unit, for which the unit of electric current was chosen for SI. Another three base units (for temperature, amount of substance, and luminous intensity) were added later.
The early metric systems defined a unit of weight as a base unit, while the SI defines an analogous unit of mass. In everyday use, these are mostly interchangeable, but in scientific contexts the difference matters. Mass, strictly the inertial mass, represents a quantity of matter. It relates the acceleration of a body to the applied force via Newton's law, {{nowrap|1=F = m × a}}: force equals mass times acceleration. A force of 1 N (newton) applied to a mass of 1 kg will accelerate it at 1 m/s2. This is true whether the object is floating in space or in a gravity field e.g. at the Earth's surface. Weight is the force exerted on a body by a gravitational field, and hence its weight depends on the strength of the gravitational field. Weight of a 1 kg mass at the Earth's surface is {{nowrap|m × g}}; mass times the acceleration due to gravity, which is 9.81 newtons at the Earth's surface and is about 3.5 newtons at the surface of Mars. Since the acceleration due to gravity is local and varies by location and altitude on the Earth, weight is unsuitable for precision measurements of a property of a body, and this makes a unit of weight unsuitable as a base unit.{{citation needed|date=January 2024}}
Since 1960 the CGPM has made a number of changes to the SI to meet the needs of specific fields, notably chemistry and radiometry. These are mostly additions to the list of named derived units, and include the mole (symbol mol) for an amount of substance, the pascal (symbol Pa) for pressure, the siemens (symbol S) for electrical conductance, the becquerel (symbol Bq) for "activity referred to a radionuclide", the gray (symbol Gy) for ionising radiation, the sievert (symbol Sv) as the unit of dose equivalent radiation, and the katal (symbol kat) for catalytic activity.{{rp|page=156, 158–159, 165}}{{cite book |author-first=Thomas |author-last=McGreevy |editor-first1=Peter |editor-last1=Cunningham |title=The Basis of Measurement: Volume 2 – Metrication and Current Practice |pages=222–224 |isbn=978-0-948251-84-9 |date=1997 |publisher=Pitcon Publishing (Chippenham) Ltd}}{{rp|221}}
The range of defined prefixes pico- (10−12) to tera- (1012) was extended to quecto- (10−30) to quetta- (1030).{{rp|page=152, 158, 164}}
The 1960 definition of the standard metre in terms of wavelengths of a specific emission of the krypton-86 atom was replaced in 1983 with the distance that light travels in vacuum in exactly {{sfrac|{{val|299792458}}}} second, so that the speed of light is now an exactly specified constant of nature.{{citation needed|date=January 2024}}
A few changes to notation conventions have also been made to alleviate lexicographic ambiguities. An analysis under the aegis of CSIRO, published in 2009 by the Royal Society, has pointed out the opportunities to finish the realisation of that goal, to the point of universal zero-ambiguity machine readability.{{citation |last=Foster |first=Marcus P. |date=2009 |title=Disambiguating the SI notation would guarantee its correct parsing |journal=Proceedings of the Royal Society A |volume=465 |issue= 2104|pages=1227–1229 |doi=10.1098/rspa.2008.0343 |bibcode=2009RSPSA.465.1227F |s2cid=62597962 |postscript=.}}
class="wikitable" |
scope="col" | Unit name
! scope="col" | DefinitionInterim definitions are given here only when there has been a significant difference in the definition. |
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scope="row" | second
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scope="row" | metre
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scope="row" | kilogram
|
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scope="row" | ampere
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scope="row" | kelvin
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scope="row" | mole
|
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scope="row" | candela
|
: Note: both old and new definitions are approximately the luminous intensity of a spermaceti candle burning modestly bright, in the late 19th century called a "candlepower" or a "candle". |
colspan=2|
; Notes {{reflist|group="n"}} The Prior definitions of the various base units in the above table were made by the following authors and authorities: :* TLB = Tito Livio Burattini, Misura universale, Vilnius, 1675 :* FG = French Government :* IEC = International Electrotechnical Commission :* ICAW = International Committee on Atomic Weights All other definitions result from resolutions by either CGPM or the CIPM and are catalogued in the SI Brochure. |
2005
Prior to the 2019 revision of the SI, from 2005 to early 2019, the SI base units were defined as follows.
class="wikitable"
|+ style="font-size:largerfont-weight:bold;"|Historical SI base units !Name ! style="text-align: center" | Symbol !Measure !Pre-2019 (2005) formal definition{{SIbrochure8th}} !Historical origin / justification |
metre
| style="text-align: center" | m |"The metre is the length of the path travelled by light in vacuum during a time interval of 1 / {{val|299792458}} of a second." |1 / {{val|10000000}} of the distance from the Earth's equator to the North Pole measured on the circumference through Paris. |style="text-align:center" | L |
kilogram
| style="text-align: center" | kg |mass |"The kilogram is the unit of mass; it is equal to the mass of the international prototype of the kilogram." |The mass of one litre of water at the temperature of melting ice. A litre is one thousandth of a cubic metre. |style="text-align:center" | M |
second
| style="text-align: center" | s |time |"The second is the duration of {{val|9192631770}} periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium 133 atom." |The day is divided in 24 hours, each hour divided in 60 minutes, each minute divided in 60 seconds. |style="text-align:center" | T |
ampere
| style="text-align: center" | A |"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 {{val|2|e=-7}} newton per metre of length." |The original "Absolute Ampere" was defined as 0.1 Electromagnetic units. |style="text-align:center" | I |
kelvin
| style="text-align: center" | K |"The kelvin, unit of thermodynamic temperature, is the fraction 1 / {{val|273.16}} of the thermodynamic temperature of the triple point of water." |The Celsius scale: the Kelvin scale uses the degree Celsius for its unit increment, but is a thermodynamic scale (0 K is absolute zero). |style="text-align:center" | Θ |
mole
| style="text-align: center" | mol |"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'. |Atomic weight or molecular weight divided by the molar mass constant, 1 g/mol. |style="text-align:center" | N |
candela
| style="text-align: center" | cd |"The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency {{val|540|e=12}} hertz and that has a radiant intensity in that direction of 1 / 683 watt per steradian." |The candlepower, which is based on the light emitted from a burning candle of standard properties. |style="text-align:center" | J |
Name
!Symbol !Measure !Pre-2019 (2005) formal definition{{SIbrochure8th}} !Historical origin / justification |
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Notes
{{notelist}}
References
{{reflist|refs=
{{cite book |editor1=David B. Newell |editor2=Eite Tiesinga |title=The International System of Units (SI) |url=https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.330-2019.pdf |access-date=30 November 2019 |publisher=NIST |location=Gaithersburg, MD |date=2019|edition=NIST Special publication 330, 2019}}
|url=https://archive.org/details/internationalbur420page |pages=[https://archive.org/details/internationalbur420page/page/238 238]–244 |title=The International Bureau of Weights and Measures 1875–1975: NBS Special Publication 420 |date=20 May 1975 |editor-last1=Page |editor-first1=Chester H. |editor-last2=Vigoureux |editor-first2=Paul |publisher=National Bureau of Standards |location=Washington, D.C.}}
}}
{{SI units}}
{{DEFAULTSORT:2005-2019 definitions of the SI base units}}