Units of Temperature
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 1273.16 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.
Celsius @, degC @, deg
Rankine @, degR @, deg
Fahrenheit @, degF @, deg
centigrade @, degc @, deg
Reaumur @, degRe @, deg
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 59 kelvin.
A degree Fahrenheit is defined as 59 kelvin.
A degree centigrade is defined as 1100 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 180 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 π times the Newtonian gravitational constant times the Boltzmann constant.
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