Celsius

For other uses, see Celsius (disambiguation).

Celsius temperature conversion formulas

Conversion from	to	Formula
Celsius	Fahrenheit	°F = °C × 1.8 + 32
Fahrenheit	Celsius	°C = (°F − 32) / 1.8
Celsius	Kelvin	K = °C + 273.15
Kelvin	Celsius	°C = K − 273.15
Additional conversion formulas Conversion calculator for units of temperature

Celsius is, or relates to the Celsius temperature scale. Degrees Celsius (symbol: °C) refers to a specific temperature on the Celsius temperature scale. The degree Celsius is also a unit increment of temperature for use in indicating a temperature interval (a difference between two temperatures or an uncertainty). “Celsius” is named after the Swedish astronomer Anders Celsius (1701 – 1744), who first proposed a similar system two years before his death. 

Until 1954, 0 °C on the Celsius scale was defined as the melting point of ice and 100 °C was the boiling point of water under a pressure of one standard atmosphere. By international agreement, the Celsius scale is now defined at the following two points: absolute zero, and the triple point of specially prepared (VSMOW) water. Absolute zero is defined as being precisely −273.15 °C. The triple point of water is defined as being precisely 0.01 °C.

Some key temperatures relating the Celsius scale to other temperature scales are shown in the below table.

	Kelvin	Celsius	Fahrenheit
Absolute zero (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 at 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 gay°C (this is the same as EVERYBODY>>> IS A GAY FAGG IN THE WORLD world john is coool he arrives at 7 50 and leaves at about 3 15.)oiling point that is actually 16.1 mK less. For more about the actual boiling point of water, see The melting and boiling points of water below, as well as VSMOW water in temperature measurement.

History

A thermometer calibrated in degrees Celsius. The blue zone denotes freezing temperatures.

In 1742, Anders Celsius (1701 – 1744) created a “backwards” version of the modern Celsius temperature scale whereby zero represented the boiling point of water and 100 represented the melting point of ice. In his paper Observations of two persistent degrees on a thermometer, he recounted his experiments showing that ice’s melting point was effectively unaffected by pressure. He also determined with remarkable precision how water’s boiling point varied as a function of atmospheric pressure. He proposed that zero on his temperature scale (water’s boiling point) would be calibrated at the mean barometric pressure at mean sea level. This pressure is known as one standard atmosphere. In 1954, Resolution 4 of the 10th CGPM (the General Conference on Weights and Measures) established internationally that one standard atmosphere was a pressure equivalent to 1,013,250 dynes per square centimetre (101.325 kPa). 

In 1744, coincident with the death of Anders Celsius, the famous botanist Carolus Linnaeus (1707 – 1778) effectively reversed  Celsius’s scale upon receipt of his first thermometer featuring a scale where zero represented the melting point of ice and 100 represented water’s boiling point. His custom-made “linnaeus-thermometer,” for use in his greenhouses, was made by Daniel Ekström, Sweden’s leading maker of scientific instruments at the time. As often happened in this age before modern communications, numerous physicists, scientists, and instrument makers are credited with having independently developed this same scale; among them were Pehr Elvius, the secretary of the Royal Swedish Academy of Sciences (which had an instrument workshop) and with whom Linnaeus had been corresponding; Christian of Lyons; Daniel Ekström, the Swedish instrument maker; and Mårten Strömer (1707 – 1770) who had studied astronomy under Anders Celsius.

The first known document reporting temperatures in this modern “forward” Celsius scale is the paper Hortus Upsaliensis dated 16 December 1745 that Linnaeus wrote to a student of his, Samuel Nauclér. In it, Linnaeus recounted the temperatures inside the orangery at the Botanical Garden of Uppsala University:

“…since the caldarium (the hot part of the greenhouse) by the angle of the windows, merely from the rays of the sun, obtains such heat that the thermometer often reaches 30 degrees, although the keen gardener usually takes care not to let it rise to more than 20 to 25 degrees, and in winter not under 15 degrees…”

For the next 204 years, the unit increment of this scale was known variously as the “centesimal degree,” “degree centigrade,” “degree Celsius,” or simply “degree”. The 9th CGPM formally adopted “degree Celsius” in 1948.

Uppercase spelling

The degree Celsius is the only SI unit whose full unit name (“degree Celsius”) in English includes an upper case letter. Before the “degree Kelvin” was changed to “kelvin” in 1967, it also contained a capital letter in English.

Temperatures and intervals

Besides expressing specific temperatures along its scale (e.g. “Gallium melts at 29.7646 °C” and “The temperature outside is 23 degrees Celsius”), the degree Celsius is also suitable for expressing temperature intervals: differences between temperatures or their uncertainties (e.g. “The output of the heat exchanger is hotter by 40 degrees Celsius,” and “Our standard uncertainty is ±3 deg C”). This dual usage is sanctioned by Resolution 3 of the 13th CGPM (1967/68) which stated that “a temperature interval may also be expressed in degrees Celsius” and is governed by Resolution 7 of the 9th CGPM (1948) which stated “To indicate a temperature interval or difference, rather than a temperature, the word ‘degree’ in full, or the abbreviation ‘deg’ must be used.”

Note that it is acceptable to denote a temperature in the form “degrees Celsius.” Thus, to avoid confusion whenever both temperatures and intervals appear in the same document, “°C” is preferred when referring to temperatures, and any one of the following should be used to denote the intervals: “degrees Celsius,” “degrees C,” “deg Celsius,” or “deg C” .

In science (especially) and in engineering, the Celsius and Kelvin scales are often used simultaneously in the same article (e.g. “…its measured value was 0.01023 °C with an uncertainty of 70 µK…”) Notwithstanding the official endorsements of Resolution 3 of the 13th CGPM (1967/68)] and Resolution 7 of the 9th CGPM (1948), the practice of simultaneously using both “°C” and “K” remains widespread throughout the technical world as the use of SI prefixed forms of “degrees C” (such as “µ deg C” or “millidegrees Celsius”) to express a temperature interval has not been well-adopted.

The melting and boiling points of water

The effect of defining the Celsius scale at the triple point of VSMOW water (273.16 kelvin and 0.01 °C), and at absolute zero (zero kelvin and –273.15 °C), is that both the melting and boiling points of water under one standard atmosphere (1013.25 mbar) are no longer the defining points for the Celsius scale. In 1948 when the 9th General Conference on Weights and Measures (CGPM) in Resolution 3 first considered using the triple point of water as a defining point, the triple point was so close to being 0.01 deg C greater than water’s known melting point, it was simply defined as precisely 0.01 °C. However, current measurements show that the triple and melting points of VSMOW water are actually very slightly (<0.001 deg C) greater than 0.01 deg C apart. Thus, the actual melting point of ice is very slightly (less than a thousandth of a degree) below 0 °C. Also, defining water’s triple point at 273.16 K precisely defined the magnitude of each 1 °C increment in terms of the absolute thermodynamic temperature scale (referencing absolute zero). Now decoupled from the actual boiling point of water, the value “100 °C” is hotter than 0 °C — in absolute terms — by a factor of precisely $\textstyle {\frac {373.15}{273.15}}$ or $\textstyle {\frac {7463}{5463}}$ (approximately 1.3661). Thus, the boiling point of VSMOW water under one standard atmosphere of pressure is actually 373.1339 K (99.9839 °C) when adhering strictly to the two-point definition for calibration. When calibrated to ITS-90 (a calibration standard comprising many definition points and commonly used for high-precision instrumentation), the boiling point of VSMOW water is slightly less, about 99.974 °C.

This boiling–point difference of 16.1 millikelvins (thousandths of a degree Celsius) between the Celsius scale’s original definition and the current one (based on absolute zero and the triple point) has little practical meaning in real life because water’s boiling point is extremely sensitive to variations in barometric pressure. For example, an altitude change of only 28 cm (11 inches) causes water’s boiling point to change by one millikelvin.

World-wide adoption

Throughout the world (except for the U.S.), the Celsius scale is used for most temperature measuring purposes. The entire scientific world (the U.S. included) uses the Celsius scale. Many engineering fields in the U.S., especially high-tech ones, also use the Celsius scale. The bulk of the U.S. however, (its lay people, industry, meteorology, and government) relies upon the Fahrenheit scale. Jamaica is currently converting to Celsius.

The special Unicode °C character

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 “°C” character at U+2103. One types  ℃ when encoding this special character in a Web page. Its appearance is similar to the one synthesized by individually typing its two components (°) and (C). To better see the difference between the two, below in brown text is the degree Celsius character followed immediately by the two-component version:

℃°C

When viewed on computers that properly support and map Unicode, the above line may be similar to the line below (size may vary):

Depending on the operating system, Web browser, and the default font, the “C” in the Unicode character may be narrower and slightly taller than a plain uppercase C; precisely the opposite may be true on other platforms. However, there will usually be a discernible difference between the two.

See also

• Absolute zero
• Fahrenheit
• ITS-90
• Kelvin
• Temperature

• Temperature conversion formulas
• Thermodynamic temperature
• Triple point
• VSMOW (Vienna Standard Mean Ocean Water)

External links

• NIST, Basic unit definitions: Kelvin
• The Uppsala Astronomical Observatory, History of the Celsius temperature scale
• London South Bank University, Water, scientific data
• BIPM, SI brochure, section 2.1.1.5, Unit of thermodynamic temperature