What this calculator does
Black Hole Temperature works out hawking temperature and evaporation timescale of a black hole from its mass. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.
The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.
The formula
FormulaT = ħc³/(8πGMkB); rs = 2GM/c²
The inputs explained
| Field | What to enter |
|---|---|
| Black hole mass (solar masses) | A number, measured in solar masses. Starts at 1. |
Worked examples
Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.
How the answer changes with black hole mass
Every other input is held at the calculator’s starting values while black hole mass varies. Select any row to load that scenario into the calculator.
How the answer changes with black hole mass
| Black hole mass (solar masses) | Hawking temperature (T) | Schwarzschild radius (rs) | Evaporation timescale |
|---|---|---|---|
| 0.5 | 1.2340e-7 K | 1.4767e+3 m | 2.6196e+66 years |
| 0.75 | 8.2268e-8 K | 2.2150e+3 m | 8.8412e+66 years |
| 1 | 6.1701e-8 K | 2.9533e+3 m | 2.0957e+67 years |
| 1.5 | 4.1134e-8 K | 4.4300e+3 m | 7.0729e+67 years |
| 2 | 3.0850e-8 K | 5.9067e+3 m | 1.6765e+68 years |
| 3 | 2.0567e-8 K | 8.8600e+3 m | 5.6583e+68 years |