Grave (unit)

The grave (/ɡræv/,^[1] French: [ɡʁav]^[2]), abbreviated gv,^[3] is the unit of mass used in the first metric system which was implemented in France in 1793. In 1795, the grave was renamed as the kilogram.

One of the original prototypes of the grave made in 1793 and now kept at the NIST Museum

Origin

The modern kilogram has its origins in the Age of Enlightenment and the French Revolution. In 1790 an influential proposal by Talleyrand called for a new system of units, including a unit of length derived from an invariable length in nature, and a unit of mass (then called weight) equal to the mass of a unit volume of water.^[4] In 1791, the Commission of Weights and Measures, appointed by the French Academy of Sciences, chose one ten-millionth of the half meridian as the unit of length, and named it metre.^[5][6] Initially a provisional value was used, based on the meridian measurement made in 1740 by Lacaille.^[7]

In 1793 the commission defined the unit of mass as a cubic decimetre of distilled water at 0 °C, and gave it the name grave.^[8] Two supplemental unit names, gravet (0.001 grave), and bar (1000 grave), were added to cover the same range as the old units, resulting in the following decimal series of units: milligravet, centigravet, decigravet, gravet, centigrave, decigrave, grave, centibar, decibar, bar.^[9][10] As measured by the customary unit of mass in use in France at the time, the mass of the new unit volume (1 dm³_provisional) of water at 0 °C was determined by Lavoisier and Haüy to be 18841 grains.

Since a mass standard made of water would be inconvenient and unstable, the regulation of commerce necessitated the manufacture of a practical realisation of the water-based definition of mass. Accordingly, a provisional mass standard of the grave was made as a single-piece, metallic artefact.

Transition to the kilogram

On 7 April 1795, the gram was decreed in France to be "the absolute weight of a volume of pure water equal to the cube of the hundredth part of the metre, and at the temperature of melting ice".^[11] The law also replaced the three names gravet, grave and bar by a single generic unit name: the gram.^[12] The new gram was equal to the old gravet. Four new prefixes (deca, hecto, kilo, and myria) were added to the metric system to cover almost the same range of units as in 1793 (milligram, centigram, decigram, gram, decagram, hectogram, kilogram, myriagram).^[13][14] The brass prototype of the grave was renamed to provisional kilogram.^[15]

In 1799 the provisional units were replaced by the final ones. Delambre and Méchain had completed their new measurement of the meridian, and the final metre was 0.03% smaller than the provisional one. Hence the final kilogram, being the mass of one cubic decimetre of water, was 0.09% lighter than the provisional one. In addition, the temperature specification of the water was changed from 0 °C to the point where the density of water is maximal (about 4 °C). This change of temperature added 0.01% to the final kilogram.^[16][17] At the same time, work was commissioned to precisely determine the mass of a cubic decimetre (one litre) of water.^{[Note 1][11]} Although the decreed definition of the kilogram specified water at 0 °C—its highly stable temperature point—the French chemist Louis Lefèvre-Gineau and the Italian naturalist Giovanni Fabbroni chose to redefine the standard in 1799 to water's most stable density point: the temperature at which water reaches maximum density, which was measured at the time as 4 °C.^{[Note 2][18]} They concluded that one cubic decimetre of water at its maximum density was equal to 99.9265% of the target mass of the provisional kilogram standard made four years earlier.^[19]

Kilogramme des Archives

 

The Arago kilogram, a copy of the "Kilogramme des Archives" commissioned in 1821 by the US under supervision of French physicist François Arago that served as the US's first kilogram standard of mass.

After the definitions were finalized in 1799, an all-platinum kilogram prototype was fabricated with the objective that it would equal, as close as was scientifically feasible for the day, the mass of one cubic decimetre of water at 4 °C. It was called the Kilogramme des Archives as it was stored in the Archives Nationales in Paris. The prototype was presented to the Archives of the Republic in June, and on 10 December 1799, the prototype was formally ratified as the Kilogramme des Archives (Kilogram of the Archives)^[20] and the kilogram was defined as being equal to its mass. This standard stood for the next ninety years, until being replaced in 1889 by the platinum–iridium International Prototype of the Kilogram (IPK).

See also

• Gram
• International System of Units (SI)
• Kilogram
• Kilogram-force
• List of unusual units of measurement
• Mass
• Metric prefix
• Metric system
• SI base units
• SI derived units

References

1. "World's Roundest Object! - YouTube"
2. "Translate to IPA (unalengua.com)"
3. "Instruction sur les poids et mesures républicaines:
   déduites de la grandeur de la terre,
   uniformes pour toute la République,
   et sur les calculs relatifs à leur division décimale"
4. "May 1790 Proposal Talleyrand". 1790. from the original on 15 January 2023. Retrieved 6 May 2016.
5. Rapport 17 March 1791 Ten millionth of meridian
6. Rapport 11 July 1792 Introduction of the names metre, deci-centi-milli
7. "Decree of 1 August 1793". 1869. from the original on 15 January 2023. Retrieved 6 May 2016.
8. Guyton; Lavoisier; Monge; Berthollet; et al. (1792). Annales de chimie ou Recueil de mémoires concernant la chimie et les arts qui en dépendent. Vol. 15–16. Paris: Chez Joseph de Boffe. p. 277. from the original on 15 January 2023. Retrieved 2 October 2020.
9. "Instructions abrégée sur les mesures déduites de la grandeur de la terre et sur les calculs relatifs à leur division décimale, 1793: gravet, bar". 1793. from the original on 15 January 2023. Retrieved 6 May 2016.
10. The obsolete unit bar (1000 kg, used between 1793 and 1795) is not to be confused with the newer unit of pressure that was introduced in 1909 (100 kPa)
11. . 7 April 1795. Archived from the original on 25 February 2013. Retrieved 5 September 2007. Gramme, le poids absolu d'un volume d'eau pure égal au cube de la centième partie du mètre, et à la température de la glace fondante.
12. "The 7 April 1795 Act: gramme". from the original on 11 July 2006. Retrieved 6 May 2016.
13. Prieur, Claude Antoine (1795). "Nouvelle instruction sur les poids et mesures, et sur le calcul décimal, adoptée par l'Agence temporaire des poids et mesures. Claude Antoine Prieur, 1795". from the original on 15 January 2023. Retrieved 23 January 2016.
14. . Archived from the original on 25 February 2013. Retrieved 5 September 2007.
15. Keith Martin, Pirates of the Caribbean (Metric Edition), from the original on 15 April 2021, retrieved 14 April 2021
16. "L'Histoire Du Mètre, La Détermination De L'Unité De Poids". from the original on 25 July 2013. Retrieved 5 September 2007.
17. "History of the kilogram". from the original on 21 August 2013. Retrieved 5 September 2007.
18. "L'histoire du mètre, la détermination de l'unité de poids". from the original on 25 July 2013. Retrieved 5 September 2007.
19. Zupko, Ronald Edward (1990). Revolution in Measurement: Western European Weights and Measures Since the Age of Science. DIANE Publishing.
20. Armoire de fer 2021-04-14 at the Wayback Machine, (in English: Iron chest), vault built in 1790 and used to store kilogram and metre prototypes

Notes

1. The same decree also defined the litre as follows: "Litre: the measure of volume, both for liquid and solids, for which the displacement would be that of a cube [with sides measuring] one-tenth of a metre." Original text: "Litre, la mesure de capacité, tant pour les liquides que pour les matières sèches, dont la contenance sera celle du cube de la dixièrne partie du mètre."
2. Modern measurements show the temperature at which water reaches maximum density is 3.984 °C. However, the scientists at the close of the 18th century concluded that the temperature was 4 °C.