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Metre
The metre or meter^{[1]}(symbol: m) is the fundamental unit of length in the International System of Units (SI). The metre was originally defined by a prototype object meant to represent ^{1}⁄_{10,000,000} the distance between the poles and the Equator. Today, it is defined as ^{1}⁄_{299,792,458} of a lightsecond. Because it is the base unit of length in the SI, all SI units which involve length (such as area or speed) are defined relative to the metre. Additionally, due to the metre being the only SI base unit used to measure a vector (e.g. displacement), all vector units are defined relative to the metre. However, decimal multiples and submultiples of the metre — such as kilometre (1000 metres) and centimetre (0.01 metres) — can be formed by adding SI prefixes to metre (see the table below). Additional recommended knowledge
EtymologyThe word metre is from the Greek metron (μέτρον), "a measure" via the French mètre. Its first recorded usage in English meaning this unit of length is from 1797. HistoryMeridional definitionIn the eighteenth century, there were two favoured approaches to the definition of the standard unit of length. One suggested defining the metre as the length of a pendulum with a halfperiod of one second. The other suggested defining the metre as one tenmillionth of the length of the Earth's meridian along a quadrant, that is the distance from the equator to the north pole. In 1791, the French Academy of Sciences selected the meridional definition. In order to establish a universally accepted foundation for the definition of the metre, measurements of this meridian more accurate than those available at that time were imperative. The Bureau des Longitudes commissioned an expedition led by Delambre and Pierre Méchain, lasting from 1792 to 1799, which measured the length of the meridian between Dunkerque and Barcelona. This portion of the meridian, which also passes through Paris, was to serve as the basis for the length of the half meridian, connecting the North Pole with the Equator. However, in 1793, France adopted the metre based on provisional results from the expedition as its official unit of length. Although it was later determined that the first prototype metre bar was short by a fifth of a millimetre due to miscalculation of the flattening of the Earth, this length became the standard. So, the circumference of the Earth through the poles is approximately forty million metres. Prototype metre barIn the 1870s and in light of modern precision, a series of international conferences were held to devise new metric standards. The Metre Convention (Convention du Mètre) of 1875 mandated the establishment of a permanent International Bureau of Weights and Measures (BIPM: Bureau International des Poids et Mesures) to be located in Sèvres, France. This new organisation would preserve the new prototype metre and kilogram when constructed, distribute national metric prototypes, and maintain comparisons between them and nonmetric measurement standards. This organization created a new prototype bar in 1889 at the first General Conference on Weights and Measures (CGPM: Conférence Générale des Poids et Mesures), establishing the International Prototype Metre as the distance between two lines on a standard bar of an alloy of ninety percent platinum and ten percent iridium, measured at 0 °C. Standard wavelength of krypton86 emissionIn 1893, the standard metre was first measured with an interferometer by Albert A. Michelson, the inventor of the device and an advocate of using some particular wavelength of light as a standard of distance. By 1925, interferometry was in regular use at the BIPM. However, the International Prototype Metre remained the standard until 1960, when the eleventh CGPM defined the metre in the new SI system as equal to 1,650,763.73 wavelengths of the orangered emission line in the electromagnetic spectrum of the krypton86 atom in a vacuum. The original international prototype of the metre is still kept at the BIPM under the conditions specified in 1889. Standard wavelength of heliumneon laser lightTo further reduce uncertainty, the seventeenth CGPM in 1983 replaced the definition of the metre with its current definition, thus fixing the length of the metre in terms of time and the speed of light:
Note that this definition had the effect of fixing the speed of light in a vacuum at precisely 299,792,458 metres per second. Although the metre is now defined in terms of timeofflight, actual laboratory realisations of the metre are still delineated by counting the required number of wavelengths of light along the distance. An intended byproduct of the 17^{th} CGPM’s definition was that it enabled scientists to measure the wavelength of their lasers with onefifth the uncertainty. To further facilitate reproducibility from lab to lab, the 17^{th} CGPM also made the iodinestabilised heliumneon laser “a recommended radiation” for realising the metre. For purposes of delineating the metre, the BIPM currently considers the HeNe laser wavelength to be as follows: λ_{HeNe} = 632.99139822 nm with an estimated relative standard uncertainty (U) of 2.5 × 10^{–11}.^{[3]} This uncertainty is currently the limiting factor in laboratory realisations of the metre as it is several orders of magnitude poorer than that of the second (U = 5 × 10^{–16}).^{[4]} Consequently, a practical realisation of the metre is usually delineated (not defined) today in labs as 1,579,800.298728(39) wavelengths of heliumneon laser light in a vacuum. Timeline of definition
SI prefixed forms of metre
SI prefixes are often employed to denote decimal multiples and submultiples of the metre, as shown in the table below.
Equivalents in other units
See also
Notes
References


This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Metre". A list of authors is available in Wikipedia. 