Temperature · Unit Converter

Convert Réaumur to Planck Temperature

Convert degrees réaumur to planck temperatures instantly. T_P = (°Ré + 218.52) × 8.822799e-33 — use the live calculator, the exact formula, a reference-temperature table and worked examples. Also check the Planck Temperature to Réaumur converter for the reverse conversion.

Written by Sunith Babu L, Ph.D., Lead Engineer Reviewed by Girish V Kulkarni Ph.D.
Temperature category 2 min read Published Last reviewed Updated

Units explained

Historical Scales

Réaumur

What is a degree réaumur?

The degree Réaumur (°Ré) sets the freezing point of water at 0 °Ré and the boiling point at 80 °Ré, so one degree Réaumur equals exactly 1.25 kelvins (5/4 K).

Origin of the degree réaumur

Devised by French scientist René Antoine Ferchault de Réaumur using alcohol thermometers whose working liquid expanded 80 parts per thousand between the freezing and boiling points of water — the origin of the 80-degree span.

Where it is used

Once dominant across 18th- and 19th-century Europe, especially France, Germany, and Russia. It survives today mainly in traditional cheese-making — Parmigiano-Reggiano and Swiss alpine dairies still specify milk temperatures in °Ré.

When and where it was developed

Introduced by Réaumur in Paris in 1730; it faded from general use after France adopted the Celsius scale with the metric system in the 1790s.

Scientific & Fixed-Point

Planck Temperature

What is the planck temperature?

The Planck temperature (T_P) is the natural unit of temperature, about 1.416784×10³² kelvins, constructed purely from the fundamental constants ħ, c, G, and k. It is widely regarded as the highest temperature at which known physics remains meaningful.

Origin of the planck temperature

Arises from Max Planck's 1899 system of natural units, which combines the speed of light, the gravitational constant, the reduced Planck constant, and the Boltzmann constant into universal base quantities independent of any human artifact.

Where it is used

Cosmology and quantum-gravity research, where it marks the temperature of the universe roughly one Planck time after the Big Bang. No laboratory process approaches even a trillionth of a trillionth of it.

When and where it was developed

Defined within Max Planck's natural-unit system proposed in Germany in 1899; the modern recommended value (1.416784×10³² K) is maintained by the CODATA fundamental-constants adjustment.

Réaumur to Planck Temperature conversion formula

Note: this conversion uses the CODATA recommended value of the Planck temperature (1.416784×10³² K), which carries a small experimental uncertainty from the gravitational constant G.

The exact relationship between degrees réaumur and planck temperatures:

T_P = (°Ré + 218.52) × 8.822799e-33
°Ré = (T_P × 1.133427e+32) − 218.52

To convert degrees réaumur to planck temperatures, add 218.52 to the value, then multiply by 8.822799e-33. To reverse, multiply the value by 1.133427e+32, then subtract 218.52.

Reference anchors: water freezes at 0 °Ré = 1.927958e-30 T_P and boils at 80 °Ré = 2.633782e-30 T_P (at standard atmospheric pressure).

How to use this converter

Type a value into the calculator. The result in planck temperatures updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Planck Temperature to Réaumur converter for the reverse direction.

Step-by-step: convert degrees réaumur to planck temperatures

  1. Write down the temperature in degrees réaumur (°Ré).
  2. Add 218.52 to the value, then multiply by 8.822799e-33.
  3. The result is the same temperature expressed in planck temperatures (T_P).
  4. To reverse, multiply the value by 1.133427e+32, then subtract 218.52 — or open the Planck Temperature to Réaumur converter.

Worked examples

Example 1 — Convert 29.6 °Ré to T_P (human body temperature):
(29.6 + 218.52) × 8.822799e-33 = 2.189113e-30 T_P

Example 2 — Convert 80 °Ré to T_P (the boiling point of water):
(80 + 218.52) × 8.822799e-33 = 2.633782e-30 T_P

Réaumur to Planck Temperature conversion table

Physically meaningful reference temperatures, from absolute zero to the surface of the Sun, converted from degrees réaumur to planck temperatures:

Réaumur [°Ré]Planck Temperature [T_P]Reference point
-218.520Absolute zero
-321.645628e-30Where Celsius and Fahrenheit coincide (−40°)
-14.22222222221.802478e-30Zero Fahrenheit (0 °F)
01.927958e-30Water freezes (0 °C / 32 °F)
0.0081.928029e-30Triple point of water
81.99854e-30Cool day (10 °C / 50 °F)
162.069123e-30Room temperature (20 °C / 68 °F)
202.104414e-30Standard laboratory temperature (25 °C)
242.139705e-30Hot day (30 °C / 86 °F)
29.62.189113e-30Human body temperature (37 °C / 98.6 °F)
322.210288e-30Heat-wave day (40 °C / 104 °F)
402.28087e-30Hot tap water (50 °C / 122 °F)
802.633782e-30Water boils (100 °C / 212 °F)
1443.198441e-30Moderate baking oven (180 °C / 356 °F)
4403.884.07825e-29Surface of the Sun (≈5,505 °C)

Frequently asked questions

What is 29.6 °Ré in T_P?
29.6 °Ré equals 2.189113e-30 T_P — normal human body temperature.
How do I convert degrees réaumur to planck temperatures?
Use the formula T_P = (°Ré + 218.52) × 8.822799e-33: add 218.52 to the value, then multiply by 8.822799e-33.
How do I convert planck temperatures back to degrees réaumur?
Apply the reverse formula °Ré = (T_P × 1.133427e+32) − 218.52 — multiply the value by 1.133427e+32, then subtract 218.52 — or use the Planck Temperature to Réaumur converter.
At what temperature do the Réaumur and Planck Temperature scales read the same number?
Both scales show the same number at 1.927958e-30: 1.927958e-30 °Ré = 1.927958e-30 T_P. Set T_P = °Ré in the conversion formula and solve to verify it.
Can a temperature be below absolute zero?
No. Absolute zero (0 K = −273.15 °C = −459.67 °F) is the floor of the thermodynamic temperature scale. The calculator flags any input that would fall below it.

Convert Réaumur to other temperature units

Show all Réaumur conversions

Sources & references

Conversion relationship (T_P = (°Ré + 218.52) × 8.822799e-33) verified against the following authoritative sources:

Results are provided for general reference. Verify critical measurements against an authoritative standard.