Historical definitions of the SI base units

Since it's 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.

## Contents

* 1 Background for the tables
* 2 2005
* 3 Notes
* 4 References

## 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.[1]

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, 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 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]

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.[2]: 156, 158-159, 165 [3]: 221

The range of defined prefixes pico- (10−12) to tera- (1012) was extended to quecto- (10−30) to quetta- (1030).[2]: 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 ⁠1/299792458⁠ second, so that the speed of light is now an exactly specified constant of nature.[citation needed]

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.[4]

Evolution of the SI base units[1]: 6 [5][6] Unit name  | Definition[n 1]

|

second |

* Prior: (1675) ⁠1/86400⁠ of a day of 24 hours of 60 minutes of 60 seconds.TLB
* Interim (1956): ⁠1/31556925.9747⁠ of the tropical year for 1900 January 0 at 12 hours ephemeris time.
* Current (1967): The duration of 9192631770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom.

metre |

* Prior (1793): ⁠1/10000000⁠ of the meridian through Paris between the North Pole and the Equator.FG
* Interim (1889): The prototype of the metre chosen by the CIPM, at the temperature of melting ice, represents the metric unit of length.
* Interim (1960): 1650763.73 wavelengths in vacuum of the radiation corresponding to the transition between the 2p10 and 5d5 quantum levels of the krypton-86 atom.
* Current (1983): The distance travelled by light in vacuum in ⁠1/299792458⁠ second.

kilogram |

* Prior (1793): The grave was defined as being the mass (then called weight) of one litre of pure water at its freezing point.FG
* Interim (1889): The mass of a small squat cylinder of ≈47 cubic centimetres of platinum-iridium alloy kept in the International Bureau of Weights and Measures (BIPM), Pavillon de Breteuil, France.[lower-alpha 1] Also, in practice, any of numerous official replicas of it.
* Current (2019): The kilogram is defined by setting the Planck constant h exactly to 6.62607015×10−34 J⋅s (J = kg⋅m2⋅s−2), given the definitions of the metre and the second.[7] Then the formula would be kg = ⁠h/6.62607015×10−34⋅m2⋅s−1⁠

ampere |

* Prior (1881): A tenth of the electromagnetic CGS unit of current. The [CGS] electromagnetic unit of current is that current, flowing in an arc 1 cm long of a circle 1 cm in radius, that creates a field of one oersted at the centre.[8] IEC
* Interim (1946): The constant current which, if maintained in two straight parallel conductors of infinite length, of negligible circular cross-section, and placed 1 m apart in vacuum, would produce between these conductors a force equal to 2×10−7 newtons per metre of length.
* Current (2019): The flow of ⁠1/1.602176634×10−19⁠ times the elementary charge e per second.

kelvin |

* Prior (1743): The centigrade scale is obtained by assigning 0 °C to the freezing point of water and 100 °C to the boiling point of water.
* Interim (1954): The triple point of water (0.01 °C) defined to be exactly 273.16 K.[n 2]
* Previous (1967): ⁠1/273.16⁠ of the thermodynamic temperature of the triple point of water.
* Current (2019): The kelvin is defined by setting the fixed numerical value of the Boltzmann constant k to 1.380649×10−23 J⋅K−1, (J = kg⋅m2⋅s−2), given the definition of the kilogram, the metre, and the second.

mole |

* Prior (1900): A stoichiometric quantity which is the equivalent mass in grams of Avogadro's number of molecules of a substance.ICAW
* Interim (1967): The amount of substance of a system which contains as many elementary entities as there are atoms in 0.012 kilogram of carbon-12.
* Current (2019): The amount of substance of exactly 6.02214076×1023 elementary entities. This number is the fixed numerical value of the Avogadro constant, NA, when expressed in the unit mol−1 and is called the Avogadro number.

candela |

* Prior (1946): The value of the new candle (early name for the candela) is such that the brightness of the full radiator at the temperature of solidification of platinum is 60 new candles per square centimetre.
* Current (1979): The luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 5.4×1014 hertz and that has a radiant intensity in that direction of ⁠1/683⁠ watt per steradian.

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".

Notes

1. ↑ Interim definitions are given here only when there has been a significant difference in the definition.
2. ↑ In 1954 the unit of thermodynamic temperature was known as the "degree Kelvin" (symbol °K; "Kelvin" spelt with an upper-case "K"). It was renamed the "kelvin" (symbol "K"; "kelvin" spelt with a lower case "k") in 1967.

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 redefinition of SI base units, from 2005 to early 2019, the SI base units were defined as follows.

Historical SI base units  Name  | Symbol  | Measure  | Pre-2019 (2005) formal definition[9] | 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 / 299792458 of a second."
17th CGPM (1983, Resolution 1, CR, 97) | 1 / 10000000 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 at the temperature of melting ice. A litre is one thousandth of a cubic metre.  | M
second | s  | time | "The second is the duration of 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 "Absolute Ampere" was defined as 0.1 Electromagnetic units.
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 / 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 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
Name  | Symbol  | Measure  | Pre-2019 (2005) formal definition[9] | Historical origin / justification  | Dimension
symbol

## Notes

1. ↑ It is known as the International Prototype of the Kilogram.

## References

1. ↑ 1.0 1.1 The International System of Units (SI) (NIST Special publication 330, 2019 ed.). Gaithersburg, MD: NIST. 2019. https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.330-2019.pdf. Retrieved 30 November 2019.
2. ↑ 2.0 2.1 International Bureau of Weights and Measures (2006), The International System of Units (SI) (8th ed.), ISBN 92-822-2213-6, http://www.bipm.org/utils/common/pdf/si_brochure_8_en.pdf
3. ↑ The Basis of Measurement: Volume 2 – Metrication and Current Practice. Pitcon Publishing (Chippenham) Ltd. 1997. pp. 222–224. ISBN 978-0-948251-84-9.
4. ↑ Foster, Marcus P. (2009), "Disambiguating the SI notation would guarantee its correct parsing", Proceedings of the Royal Society A 465 (2104): 1227–1229, doi:10.1098/rspa.2008.0343, Bibcode: 2009RSPSA.465.1227F.
5. ↑ Quantities Units and Symbols in Physical Chemistry, IUPAC
6. ↑ The International Bureau of Weights and Measures 1875–1975: NBS Special Publication 420. Washington, D.C.: National Bureau of Standards. 20 May 1975. pp. 238–244. https://archive.org/details/internationalbur420page.
7. ↑ Materese, Robin (16 November 2018). "Historic Vote Ties Kilogram and Other Units to Natural Constants". NIST. https://www.nist.gov/news-events/news/2018/11/historic-vote-ties-kilogram-and-other-units-natural-constants.
8. ↑ Magnetism and Electricity. Cambridge University Press. 1961. p. 322. https://books.google.com/books?id=m7c6AAAAIAAJ&pg=PA322.
9. ↑ 9.0 9.1 International Bureau of Weights and Measures (2006), The International System of Units (SI) (8th ed.), ISBN 92-822-2213-6, http://www.bipm.org/utils/common/pdf/si_brochure_8_en.pdf

* v
* t
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SI units

Base units|

* ampere
* candela
* kelvin
* kilogram
* {{{sp}}}}}|us|er|re}}
* 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 of arc
* electronvolt
* hectare
* hour
* {{{sp}}}}}|us|er|re}}
* minute
* minute and second of arc
* neper
* tonne

See also|

* Conversion of units
* Metric prefixes
* 2005–2019 definition
* 2019 redefinition
* Systems of measurement

* Book
* Category

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