{{short description|Unit of pressure equal to 100,000 Pa}} {{other uses|Bar (disambiguation)}} {{Redirect|Mbar|the Commune in Senegal|Mbar, Senegal}} {{infobox unit | bgcolor = | name = bar | image = Aluminium cylinder.jpg | caption = An aluminium cylinder of wall thickness {{convert|5|mm}} after an external pressure of 700 bar was applied to it | standard = metric system | quantity = pressure | symbol = bar | symbol2 = | namedafter = | extralabel = | extradata = | units1 = SI units | inunits1 = {{convert|1|bar|disp=out|lk=on}} | units2 = CGS units | inunits2 = {{val|e=6|ul=Ba}} | units3 = US customary units | inunits3 = {{convert|1.000000|bar|psi|disp=out|lk=on|comma=gaps}} | units4 = Atmospheres | inunits4 = {{convert|1.000000|bar|atm|disp=out|lk=on|comma=gaps}} }}
The '''bar''' (symbol bar) is a metric unit of pressure defined as {{val|100000|ul=Pa}} (100 kPa or 1000 hPa), though not part of the International System of Units (SI). A pressure of 1 bar is slightly less than the average atmospheric pressure on Earth at sea level (approximately 1.013 bar).<ref name="BIPMSI" /><ref name=BSI /> By the barometric formula, 1 bar is roughly the atmospheric pressure on Earth at an altitude of 111 metres at 15 °C.
The bar and the millibar (symbol mbar) were introduced by the Norwegian meteorologist Vilhelm Bjerknes, a founder of the modern practice of weather forecasting, with the bar defined as one megadyne per square centimetre.<ref>{{cite web |title=Nomenclature of the unit of absolute pressure, Charles F. Marvin, 1918 |url=http://docs.lib.noaa.gov/rescue/mwr/046/mwr-046-02-0073.pdf |url-status=dead |archive-url=https://web.archive.org/web/20170429123958/https://docs.lib.noaa.gov/rescue/mwr/046/mwr-046-02-0073.pdf |archive-date=29 April 2017 |access-date=6 May 2018 |website=noaa.gov}}</ref>
The SI brochure lists the symbol for the bar but does not otherwise mention the unit.<ref name="BIPMSI">{{SIbrochure9th}}.</ref> The bar has been legally recognised in countries of the European Union since 2004.<ref name=BSI>British Standard BS 350:2004 ''Conversion Factors for Units''.</ref> The US National Institute of Standards and Technology (NIST) deprecates its use except for "limited use in meteorology" and lists it as one of several units that "must not be introduced in fields where they are not presently used".<ref>[https://www.nist.gov/pml/wmd/metric/upload/SP1038.pdf NIST Special Publication 1038] {{webarchive |url=https://web.archive.org/web/20160319083656/http://www.nist.gov/pml/wmd/metric/upload/SP1038.pdf |date=2016-03-19 }}, Sec. 4.3.2; [http://physics.nist.gov/cuu/pdf/sp811.pdf NIST Special Publication 811, 2008 edition] {{webarchive |url=https://web.archive.org/web/20160603203340/http://physics.nist.gov/cuu/pdf/sp811.pdf |date=2016-06-03 }}, Sec. 5.2</ref> The International Astronomical Union (IAU) also lists it under "Non-SI units and symbols whose continued use is deprecated".<ref>International Astronomical Union Style Manual. Comm. 5 in IAU Transactions XXB, 1989, Table 6</ref>
Units derived from the bar include the '''megabar''' (symbol: '''Mbar'''), '''kilobar''' (symbol: '''kbar'''), '''decibar''' (symbol: '''dbar'''), '''centibar''' (symbol: '''cbar'''), and '''millibar''' (symbol: '''mbar''').
== Definition and conversion == The bar is defined using the SI derived unit, pascal: {{val|1|u=bar}} ≡ {{val|100000|u=Pa}} ≡ {{val|100000|u=N/m<sup>2</sup>}}.
Thus, {{val|1|u=bar}} is equal to:
* {{val|1000000|u=Ba}} (barye; in CGS units (this has also been called "bar"<ref>{{Cite journal |last=Allen |first=William H. |date=1965-01-01 |title=Dictionary of Technical Terms for Aerospace Use |url=https://ntrs.nasa.gov/citations/19660001124 |journal=NASA Special Publication |language=en |quote='''bar'''.... Some writers have used bar as equivalent to ''barye'' (1 dyne per square centimeter). ... '''barye'''.... Sometimes called ''bar'' or ''microbar''.... '''microbar''' (''abbr μ'''''b''').... In British literature the term ''barye'' has been used.... Unfortunately, the bar was once used in acoustics to mean 1 dyne per square centimeter, but this is no longer correct.}}</ref><ref>{{Cite journal |last=Marvin |first=Charles F. |date=1918-03-30 |title=Nomenclature of the Unit of Absolute Pressure |url=https://docs.lib.noaa.gov/rescue/mwr/046/mwr-046-02-0073.pdf |url-status=dead |journal=Monthly Weather Review |volume=46 |issue=2 |location=Washington, D.C. |pages=73–75 |doi=10.1175/1520-0493(1918)46<73:NOTUOA>2.0.CO;2 |bibcode=1918MWRv...46...73M |archive-url=https://web.archive.org/web/20170429123958/https://docs.lib.noaa.gov/rescue/mwr/046/mwr-046-02-0073.pdf |archive-date=2017-04-29 |quote=T. W. Richards and A. E. Kennelly employed the term 'bar' to signify a pressure of 1 dyne per square centimeter}}</ref>); and 1 bar is approximately equal to: * {{convert|1|bar|atm|sigfig=8|disp=out|lk=on|comma=gaps}} * {{convert|1|bar|psi|sigfig=8|disp=out|lk=on|comma=gaps}} * {{convert|1|bar|inHg|sigfig=8|disp=out|lk=on|comma=gaps}} * {{convert|1|bar|mmHg|sigfig=8|disp=out|lk=on|comma=gaps}} * {{convert|1|bar|Torr|sigfig=8|disp=out|lk=on|comma=gaps}} * {{val|1019.716}} centimetres of water (cmH<sub>2</sub>O) (1 bar approximately corresponds to the gauge pressure of water at a depth of 10 metres)
1 millibar ('''mbar''') is equal to: * {{val|0.001|u=bar}} * {{convert|1|mbar|Pa|disp=out|lk=off|comma=gaps}}
{{Pressure Units}}
== Origin == The word ''bar'' has its origin in the Ancient Greek word {{lang|grc|βάρος}} ({{Transliteration|grc|baros}}), meaning weight. The unit's official symbol is '''bar''';{{citation needed|date=December 2023}} the earlier symbol '''b''' is deprecated and conflicts with the uses of '''b''' denoting the unit barn or bit, but it is still encountered, especially as '''mb''' (rather than the proper '''mbar''') to denote the millibar. Between 1793 and 1795, the word ''bar'' was used for a unit of mass (equal to the modern tonne) in an early version of the metric system.<ref>{{Cite web |url=https://books.google.com/books?id=QwEOAAAAQAAJ&dq=centigravet+decimetre&pg=PA54 |title=Instructions abrégée sur les mesures déduites de la grandeur de la terre et sur les calculs relatifs à leur division décimale, 1793: gravet, bar |year=1793 |access-date=2016-05-06 |archive-date=2023-01-15 |archive-url=https://web.archive.org/web/20230115082642/https://books.google.nl/books?id=QwEOAAAAQAAJ&pg=PA54&dq=centigravet+decimetre&hl=en&sa=X&ved=0CEMQ6AEwBWoVChMI26XQ6Kb5xwIVgossCh3Isgs1#v=onepage&q=centigravet%20decimetre&f=false |url-status=live }}</ref>
== Usage == thumb|Map showing atmospheric pressure in millibar, or hectopascals [[File:ReifendruckPruefen.jpg|right|thumb|A tire-pressure gauge displaying bar (outside) and pounds per square inch (inside)]]
Atmospheric air pressure where standard atmospheric pressure is defined as 1013.25 mbar, 101.325 kPa, {{val|1.01325|u=bar}}, which is about {{convert|1.00|atm|psi|disp=out|abbr=off|lk=on}}. Despite the millibar not being an SI unit, meteorologists and weather reporters worldwide have long measured air pressure in millibar as the values are convenient. Since the advent of SI units, some meteorologists began using hectopascals (symbol hPa) which are numerically equivalent to millibar; for the same reason, the hectopascal is the standard unit used to express barometric pressures in aviation in most countries. For example, the Meteorological Service of Canada uses kilopascals and hectopascals on their weather maps.<ref>{{cite web|url=http://www.weatheroffice.gc.ca/jet_stream/index_e.html|title=Canadian Weather at a Glance - Environment Canada|first=Environment|last=Canada|date=2013-04-16|website=www.weatheroffice.gc.ca|access-date=6 May 2018|url-status=live|archive-url=https://web.archive.org/web/20180102181014/http://weatheroffice.gc.ca/jet_stream/index_e.html|archive-date=2 January 2018}}</ref><ref>{{cite web|url=http://www.weatheroffice.gc.ca/canada_e.html|title=Canadian Weather - Environment Canada|first=Environment|last=Canada|date=2013-04-16|website=www.weatheroffice.gc.ca|access-date=6 May 2018|url-status=live|archive-url=https://web.archive.org/web/20180102180938/http://weatheroffice.gc.ca/canada_e.html|archive-date=2 January 2018}}</ref> In contrast, Americans are familiar with the use of the millibar in US reports of hurricanes and other cyclonic storms.<ref>[https://www.wpc.ncep.noaa.gov/sfc/90fwbg.gif US government atmospheric pressure map]</ref><ref>[https://s.w-x.co/util/image/map/WEB_Current_Weather_Map_1280x720.jpg?v=ap&w=1280&h=720&api=7db9fe61-7414-47b5-9871-e17d87b8b6a0 The Weather Channel]</ref>
In fresh water, there is an approximate numerical equivalence between the change in pressure in decibar and the change in depth from the water surface in metres. Specifically, an increase of 1 decibar occurs for an increase in depth of {{val|1.019716|u=m}}. In sea water with respect to the gravity variation, the latitude and the geopotential anomaly the pressure can be converted into metres' depth according to an empirical formula.<ref>{{cite tech report |url=https://unesdoc.unesco.org/ark:/48223/pf0000059832 |access-date=2014-05-11 |url-status=live |archive-url=https://web.archive.org/web/20150412051004/http://unesdoc.unesco.org/images/0005/000598/059832eb.pdf |archive-date=2015-04-12 |title=Algorithms for computation of fundamental properties of seawater |first1=N.P.|last1= Fofonoff|first2=R.C.|last2=Millard|last3=Scientific Committee on Oceanic Research|last4= SCOR. Working Group on Evaluation of CTD Data|last5=Joint Panel on Oceanographic Tables and Standards|series=UNESCO technical papers in marine science 44|date=1983|page=25}}</ref> As a result, decibar is commonly used in oceanography.
In scuba diving, bar is also the most widely used unit to express pressure, e.g. 200 bar being a full standard scuba tank, and depth increments of 10 metre of seawater being equivalent to 1 bar of pressure.
Engineers commonly use the bar as a unit of pressure because using pascals would involve using very large numbers.{{citation needed|date=March 2026}} In measurement of vacuum and in vacuum engineering, residual pressures are typically given in millibar, although torr or millimetre of mercury (mmHg) were historically common.{{cn|date= April 2026}}
Pressures resulting from deflagrations are often expressed in units of bar.<ref>{{cite book |title=NFPA 68 Standard on Explosion Protection by Deflagration Venting |edition=2023 |ref=C.3.3}}</ref>
In the automotive field, turbocharger boost is often described in bar outside the United States. Tire pressure is often specified in bar. In hydraulic machinery components are rated to the maximum system oil pressure, which is typically in hundreds of bar. For example, 300 bar is common for industrial fixed machinery.
In the maritime ship industries, pressures in piping systems, such as cooling water systems, is often measured in bar.
Unicode has characters for "mb" ({{unichar|33D4|SQUARE MB SMALL}}), "bar" ({{unichar|3374|SQUARE BAR}}) and {{lang|ja|ミリバール}} ({{unichar|334A}}; "millibar" spelt in katakana), but they exist only for compatibility with legacy Asian encodings and are not intended to be used in new documents.
The kilobar, equivalent to 100 MPa, is commonly used in geological systems, particularly in experimental petrology.
The abbreviations "bar(a)" and "bara" are sometimes used to indicate absolute pressures, and "bar(g)" and "barg" for gauge pressures. The usage is deprecated but still prevails in the oil industry (often by capitalized "BarG" and "BarA"). As gauge pressure is relative to the current ambient pressure, which may vary in absolute terms by about 50 mbar, "BarG" and "BarA" are not interconvertible. Fuller descriptions such as "gauge pressure of 2 bars" or "2-bar gauge" are recommended.<ref name="BSI" /><ref>{{cite web|url=http://www.npl.co.uk/reference/faqs/what-do-the-letters-'g'-and-'a'-denote-after-a-pressure-unit-(faq-pressure)|title=What do the letters 'g' and 'a' denote after a pressure unit? (FAQ - Pressure) : FAQs : Reference : National Physical Laboratory|access-date=7 February 2016|url-status=live|archive-url=https://web.archive.org/web/20160407204714/http://www.npl.co.uk/reference/faqs/what-do-the-letters-'g'-and-'a'-denote-after-a-pressure-unit-(faq-pressure)|archive-date=7 April 2016}}</ref>
== See also == * Centimetre or millimetre of water * {{section link|Conversion of units|Pressure or mechanical stress}} * List of metric units * Metric prefix * {{section link|Orders of magnitude (pressure)|100kPa}}
== References == : {{citizendium|title=Bar (unit)}} {{reflist|30em}}
== External links == * [https://web.archive.org/web/20141020141423/http://www.bipm.org/en/publications/si-brochure/table8.html SI website: Table 8. Non-SI units accepted for use with the SI] * [https://www.wpc.ncep.noaa.gov/sfc/90fwbg.gif US government atmospheric pressure map showing atmospheric pressure in mbar]
Category:Units of pressure Category:Non-SI metric units