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Units of Temperature

Description

 • Thermodynamic temperature is a base dimension in the International System of Units.  The SI unit of thermodynamic temperature is the kelvin, defined as the fraction $\frac{1}{273.16}$ of the thermodynamic temperature of the triple point of water (13th CGPM, 1967).
 • It is often more convenient to represent empirical temperatures using Temperature objects, rather than expressions with a unit. For example, such objects can represent a temperature with value 0, whereas expressions with a unit cannot.
 • Maple knows the units of temperature listed in the following table.

 Name Symbols Context Alternate Spellings Prefixes kelvin K SI * kelvins SI degree Celsius @, degC @, deg Celsius degrees Rankine @, degR @, deg Rankine Fahrenheit @, degF @, deg Fahrenheit centigrade @, degc @, deg centigrade Reaumur @, degRe @, deg Reaumur planck_temperature planck * planck_temperatures

 An asterisk ( * ) indicates the default context, an at sign (@) indicates an abbreviation, and under the prefixes column, SI indicates that the unit takes all SI prefixes, IEC indicates that the unit takes IEC prefixes, and SI+ and SI- indicate that the unit takes only positive and negative SI prefixes, respectively.  Refer to a unit in the Units package by indexing the name or symbol with the context, for example, kelvin[SI] or deg[Celsius]; by using an abbreviation, for example, degC or Celsius; or, if the context is indicated as the default, by using only the unit name or symbol, for example, kelvin.
 Note: The default context of the degree is angle, relating to a measurement of angle not temperature.
 • To convert absolute temperatures, for example, to convert 0 degrees Celsius to 32 degrees Fahrenheit, use the conversion routine convert/temperature.
 • To convert temperature intervals, for example, to convert an increase of 5 kelvin to an increase of 5 degrees Celsius, use the conversion routine convert/units.
 The units of thermodynamic temperature are defined as follows.
 A degree Celsius is defined as $1$ kelvin.
 A degree Rankine is defined as $\frac{5}{9}$ kelvin.
 A degree Fahrenheit is defined as $\frac{5}{9}$ kelvin.
 A degree centigrade is defined as $\frac{1}{100}$ of the thermodynamic temperature interval between the freezing and boiling points of water at standard pressure.  It is approximately equal to $0.99975$ kelvin.
 A degree Reaumur is defined as $\frac{1}{80}$ of the thermodynamic temperature interval between the freezing and boiling points of water at standard pressure.  It is approximately equal to $0.7998$ kelvin.
 A planck temperature is defined as the square root of: the planck constant times the speed of light to the fifth power, divided by twice $\mathrm{\pi }$ times the Newtonian gravitational constant times the Boltzmann constant.

Examples

 > $\mathrm{convert}\left('\mathrm{kelvin}','\mathrm{dimensions}','\mathrm{base}'=\mathrm{true}\right)$
 ${\mathrm{thermodynamic_temperature}}$ (1)
 > $\mathrm{convert}\left(10,'\mathrm{units}','\mathrm{degF}','\mathrm{degC}'\right)$
 $\frac{{50}}{{9}}$ (2)
 > $\mathrm{convert}\left(10,'\mathrm{temperature}','\mathrm{degF}','\mathrm{degC}'\right)$
 ${-}\frac{{110}}{{9}}$ (3)
 > $\mathrm{convert}\left(10,'\mathrm{units}','\mathrm{degR}','\mathrm{kelvin}'\right)$
 $\frac{{50}}{{9}}$ (4)
 > $\mathrm{convert}\left(10,'\mathrm{temperature}','\mathrm{degR}','\mathrm{kelvin}'\right)$
 $\frac{{50}}{{9}}$ (5)
 > $\mathrm{convert}\left(23.325,'\mathrm{units}','\mathrm{degF}','\mathrm{kelvin}'\right)$
 ${12.95833333}$ (6)
 > $\mathrm{convert}\left(23.325,'\mathrm{temperature}','\mathrm{degF}','\mathrm{kelvin}'\right)$
 ${268.3305555}$ (7)

 See Also