Temperature · Unit Converter

Convert Planck Temperature to Réaumur

Convert planck temperatures to degrees réaumur instantly. °Ré = (T_P × 1.133427e+32) − 218.52 — use the live calculator, the exact formula, a reference-temperature table and worked examples. Also check the Réaumur to Planck Temperature 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

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.

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.

Planck Temperature to Réaumur 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 planck temperatures and degrees réaumur:

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

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

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

How to use this converter

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

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

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

Worked examples

Example 1 — Convert 1 T_P to °Ré:
(1 × 1.133427e+32) − 218.52 = 1.133427e+32 °Ré

Example 2 — Convert 100 T_P to °Ré:
(100 × 1.133427e+32) − 218.52 = 1.133427e+34 °Ré

Planck Temperature to Réaumur conversion table

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

Planck Temperature [T_P]Réaumur [°Ré]Reference point
0-218.52Absolute zero
1.645628e-30-32Where Celsius and Fahrenheit coincide (−40°)
1.802478e-30-14.2222222222Zero Fahrenheit (0 °F)
1.927958e-300Water freezes (0 °C / 32 °F)
1.928029e-300.008Triple point of water
1.99854e-308Cool day (10 °C / 50 °F)
2.069123e-3016Room temperature (20 °C / 68 °F)
2.104414e-3020Standard laboratory temperature (25 °C)
2.139705e-3024Hot day (30 °C / 86 °F)
2.189113e-3029.6Human body temperature (37 °C / 98.6 °F)
2.210288e-3032Heat-wave day (40 °C / 104 °F)
2.28087e-3040Hot tap water (50 °C / 122 °F)
2.633782e-3080Water boils (100 °C / 212 °F)
3.198441e-30144Moderate baking oven (180 °C / 356 °F)
4.07825e-294403.88Surface of the Sun (≈5,505 °C)

Frequently asked questions

What is 1 T_P in °Ré?
1 T_P equals 1.133427e+32 °Ré — normal human body temperature.
How do I convert planck temperatures to degrees réaumur?
Use the formula °Ré = (T_P × 1.133427e+32) − 218.52: multiply the value by 1.133427e+32, then subtract 218.52.
How do I convert degrees réaumur back to planck temperatures?
Apply the reverse formula T_P = (°Ré + 218.52) × 8.822799e-33 — add 218.52 to the value, then multiply by 8.822799e-33 — or use the Réaumur to Planck Temperature converter.
At what temperature do the Planck Temperature and Réaumur scales read the same number?
Both scales show the same number at 1.927958e-30: 1.927958e-30 T_P = 1.927958e-30 °Ré. Set °Ré = T_P 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 Planck Temperature to other temperature units

Show all Planck Temperature conversions

Sources & references

Conversion relationship (°Ré = (T_P × 1.133427e+32) − 218.52) verified against the following authoritative sources:

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