|Celsius||kelvin||°C = K − 273.15|
|kelvin||Celsius||K = °C + 273.15|
|Rankine||kelvin||°R = K × 1.8|
|kelvin||Rankine||K = °R ÷ 1.8|
|Fahrenheit||kelvin||°F = (K × 1.8) − 459.67|
|kelvin||Fahrenheit||K = (°F + 459.67) ÷ 1.8|
|electronvolts||kelvin||eV ≈ K ÷ 11,604.5|
|kelvin||electronvolts||K ≈ eV × 11,604.5|
|For temperature intervals rather than specific temperatures,
1 kelvin = 1 °C
1 kelvin = 1.8 °R
Comparisons among various temperature scales
Conversion calculator for units of temperature
The Kelvin scale is a thermodynamic (absolute) temperature scale. The zero position on this scale is known as absolute zero, which is defined as the lowest possible temperature, such that nothing could be colder. The unit increment of the Kelvin scale is the kelvin (symbol: K), which is the SI unit of temperature and is one of the seven SI base units. This scale is named after Irish physicist and engineer William Thomson, 1st Baron Kelvin (1824–1907).
It can be shown from the laws of thermodynamics that absolute zero can never be achieved artificially. Nonetheless, scientists have made great advances in achieving temperatures that draw ever closer to absolute zero, where matter exhibits unusual properties.
By international agreement, the unit “kelvin” and its scale are defined by two points: Absolute zero, and the triple point of specially prepared (VSMOW) water. This definition also precisely relates the Kelvin scale to the Celsius scale. Absolute zero—the temperature at which nothing could be colder and no heat energy remains in a substance—is defined as being precisely 0 K and −273.15 °C. The triple point of water is defined as being precisely 273.16 K and 0.01 °C.
This definition does three things: 1) it fixes the magnitude of the kelvin unit as being precisely 1 part in 273.16 parts the difference between absolute zero and the triple point of water; 2) it establishes that one kelvin has precisely the same magnitude as a one-degree increment on the Celsius scale; and 3) it establishes the difference between the two scales’ null points as being precisely 273.15 kelvins (0 K = −273.15 °C and 273.16 K = 0.01 °C). Temperatures in Kelvin can be converted to other units per the table at top right.
Some key temperatures relating temperatures on the Kelvin and Celsius scales are shown in the table below.
(precisely, by definition)
|0 K||−273.15 °C||−459.67 °F|
|Melting point of ice||273.15 K||0 °C||32 °F|
|Water’s triple point
(precisely, by definition)
|273.16 K||0.01 °C||32.018 °F|
|Water’s boiling point A||373.1339 K||99.9839 °C||211.9710 °F|
A For Vienna Standard Mean Ocean Water (VSMOW) at a pressure of one standard atmosphere (101.325 kPa), when calibrated solely per the two-point definition of thermodynamic temperature. Older definitions of the Celsius scale once defined the boiling point of water under one standard atmosphere as being precisely 100 °C. However, the current definition results in a boiling point that is actually 16.1 mK less.
Below are some historic milestones in the development of the Kelvin scale and its unit increment, the kelvin.
SI prefixes are often employed to denote decimal multiples and submultiples of the kelvin. The most commonly used factors of kelvin are listed below. (In this case, the phrase “most commonly used” is based on those with more than 500 Google hits on the name.)
When reference is made to the unit kelvin (either a specific temperature or a temperature interval), kelvin is always spelled with a lowercase "k," unless it is the first word in a sentence. When reference is made to the Kelvin scale, use an uppercase K.
Until the 13th General Conference on Weights and Measures (CGPM) in 1967-1968, this unit was called a degree just as other temperature degrees are, distinguished from other degrees with the adjective “Kelvin,” or often as “degrees absolute” (which was more ambiguous, since it could also refer to degrees Rankine). When the units were degrees, the plural was formed by adding an “s” to degree and like other adjectives in English, the adjective identifying the scale was unchanged in the plural. After the name change, the plural of kelvin is “kelvins.” When reference is made to the “Kelvin scale,” the word “kelvin”—which is normally a noun—functions as an adjective to modify the noun “scale” (like “Georgia peach”) and is capitalized.
Because the kelvin is an individual unit of measure, it is particularly well-suited for expressing temperature intervals: differences between temperatures or their uncertainties (e.g. “Agar exhibited a melting point hysteresis of 25 kelvins,” and “The uncertainty was 10 millikelvins”). Of course, the kelvin is also used to express specific temperatures along its scale (e.g. “Gallium melts at 302.9146 kelvin”).
One disadvantage of the kelvin is that intervals and specific temperatures on the Kelvin scale both utilize the exact same symbol (e.g. “Agar exhibited a melting point hysteresis of 25 K,” and “The triple point of hydrogen is 13.8033 K”). Thus, wherever ambiguity might arise due to the dual use of the symbol K within a document, it is preferable to use the symbol for denoting temperatures and to express the intervals using the full unit name in its plural form, kelvins, (e.g. “The helium temperature was 650 mK… and our standard deviation in this set of experiments was 15 millikelvins.”)
The kelvin symbol is always a roman (non-italic) capital K since the lowercase version is the SI prefix for 1 × 103. The admonition against italicizing the symbol K applies to all SI unit symbols; only symbols for variables and constants (e.g. P = pressure, and c = 299,792,458 m/s) are italicized in scientific and engineering papers. As with most other SI unit symbols (angle symbols, e.g. 45° 3′ 4″, are the exception,) there is a space between the numeric value and the kelvin symbol (e.g. “99.987 K”).
Unicode, which is an industry standard designed to allow text and symbols from all of the writing systems of the world to be consistently represented and manipulated by computers, includes a special “kelvin sign” at U+212A. One types
K when encoding this special kelvin character in a Web page. Its appearance is similar to an ordinary uppercase K. To better see the difference between the two, below in maroon text is the kelvin character followed immediately by a simple uppercase K:
When viewed on computers that properly support Unicode, the above line appears as follows (size may vary):
Depending on the operating system, Web browser, and the default font, the “K” in the Unicode character may be narrower and slightly taller than a plain uppercase K; precisely the opposite may be true on other platforms. However, there will usually be a discernible difference between the two. If the computer being used to view a particular Web page doesn’t support the Unicode kelvin sign character (
K), it may be canonically decomposed by the browser into U+004B (uppercase K) and the two would appear identical. In still other computers, the kelvin symbol is mapped incorrectly and produces an odd character.
Accordingly, for Web use, it is better to use the simple uppercase K to represent the kelvin symbol so it can be properly viewed by the widest possible audience.
The kelvin is often used in measuring the color temperature of light sources. Color temperature is based upon the principle that a black body radiator emits light whose color depends on the temperature of the radiator. Black bodies with temperatures below about 4000 K appear reddish whereas those above about 7500 K appear bluish. Color temperature is important in the fields of image projection and photography where a color temperature of approximately 5500 K is required to match “daylight” film emulsions. In astronomy, the stellar classification of stars and their place on the Hertzsprung-Russell diagram are based, in part, upon their surface temperature. The Sun, for instance, has an effective photosphere temperature of 5778 K.
All links retrieved April 15, 2018.
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