Convert Delisle to Rankine
Convert degrees delisle to degrees rankine instantly. °R = 671.67 − (°De × 6/5) — use the live calculator, the exact formula, a reference-temperature table and worked examples. Also check the Rankine to Delisle converter for the reverse conversion.
Units explained
Delisle
The degree Delisle (°De) is a famously reversed scale: water boils at 0 °De and freezes at 150 °De, so numbers increase as temperature falls. One degree Delisle corresponds to exactly −2/3 of a kelvin.
Invented by French astronomer Joseph-Nicolas Delisle while directing the observatory in St. Petersburg, Russia; his thermometers were originally graduated by the contraction of mercury cooling down from the boiling point of water.
Widely used in 18th-century Russia for about a century. Today it appears only in the history of thermometry, where it is the textbook example of an inverted temperature scale.
Created by Joseph-Nicolas Delisle in St. Petersburg in 1732; recalibrated to the familiar 150-division form by Josias Weitbrecht in 1738.
Rankine
The degree Rankine (°R) is the absolute counterpart of the Fahrenheit scale: 0 °R is absolute zero, and one degree Rankine is exactly the same size as one degree Fahrenheit (5/9 of a kelvin). Water freezes at 491.67 °R.
Named for William John Macquorn Rankine, the Scottish engineer and physicist who proposed an absolute scale built from Fahrenheit-sized degrees, paralleling Kelvin's absolute scale built from Celsius-sized degrees.
Used mainly in United States aerospace, thermodynamics, and power-plant engineering, where calculations demand absolute temperature but legacy data, instruments, and codes are in Fahrenheit.
Proposed by W. J. M. Rankine at the University of Glasgow in 1859, eleven years after Lord Kelvin's absolute scale of 1848.
Delisle to Rankine conversion formula
The exact relationship between degrees delisle and degrees rankine:
To convert degrees delisle to degrees rankine, multiply the value by 6/5 and subtract the result from 671.67. To reverse, multiply the value by 5/6 and subtract the result from 559.725.
Reference anchors: water freezes at 150 °De = 491.67 °R and boils at 0 °De = 671.67 °R (at standard atmospheric pressure).
How to use this converter
Type a value into the calculator. The result in degrees rankine updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Rankine to Delisle converter for the reverse direction.
Step-by-step: convert degrees delisle to degrees rankine
- Write down the temperature in degrees delisle (°De).
- Multiply the value by 6/5 and subtract the result from 671.67.
- The result is the same temperature expressed in degrees rankine (°R).
- To reverse, multiply the value by 5/6 and subtract the result from 559.725 — or open the Rankine to Delisle converter.
Worked examples
Example 1 — Convert 94.5 °De to °R (human body temperature):
671.67 − (94.5 × 6/5) = 558.27 °R
Example 2 — Convert 0 °De to °R (the boiling point of water):
671.67 − (0 × 6/5) = 671.67 °R
Delisle to Rankine conversion table
Physically meaningful reference temperatures, from absolute zero to the surface of the Sun, converted from degrees delisle to degrees rankine:
| Delisle [°De] | Rankine [°R] | Reference point |
|---|---|---|
| 559.725 | 0 | Absolute zero |
| 210 | 419.67 | Where Celsius and Fahrenheit coincide (−40°) |
| 176.6666666667 | 459.67 | Zero Fahrenheit (0 °F) |
| 150 | 491.67 | Water freezes (0 °C / 32 °F) |
| 149.985 | 491.688 | Triple point of water |
| 135 | 509.67 | Cool day (10 °C / 50 °F) |
| 120 | 527.67 | Room temperature (20 °C / 68 °F) |
| 112.5 | 536.67 | Standard laboratory temperature (25 °C) |
| 105 | 545.67 | Hot day (30 °C / 86 °F) |
| 94.5 | 558.27 | Human body temperature (37 °C / 98.6 °F) |
| 90 | 563.67 | Heat-wave day (40 °C / 104 °F) |
| 75 | 581.67 | Hot tap water (50 °C / 122 °F) |
| 0 | 671.67 | Water boils (100 °C / 212 °F) |
| -120 | 815.67 | Moderate baking oven (180 °C / 356 °F) |
| -8107.275 | 10400.4 | Surface of the Sun (≈5,505 °C) |
Frequently asked questions
What is 94.5 °De in °R?
How do I convert degrees delisle to degrees rankine?
How do I convert degrees rankine back to degrees delisle?
At what temperature do the Delisle and Rankine scales read the same number?
Can a temperature be below absolute zero?
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Sources & references
Conversion relationship (°R = 671.67 − (°De × 6/5)) verified against the following authoritative sources:
- BIPM — The International System of Units (SI Brochure 9th ed.)
Official BIPM publication defining the seven SI base units (including the meter) and the rules for their use. The global authority on units of measurement.
- NIST — Guide to the SI
US National Institute of Standards and Technology reference covering the SI base and derived units with definitions and usage rules for US technical practice.
- NIST Special Publication 811 — Guide for the Use of the International System of Units
Detailed NIST guide covering exact conversion factors between SI and US customary units along with formatting and rounding conventions.
- BIPM — International Temperature Scale of 1990 (ITS-90)
The internationally agreed practical temperature scale, defining fixed points (including the triple point of water at 273.16 K) and interpolation instruments used by national metrology institutes for thermometer calibration worldwide.
- CODATA Internationally Recommended Values of the Fundamental Physical Constants
Committee on Data of the International Science Council; authoritative source for the masses of fundamental particles (electron, proton, neutron) and the atomic mass constant.