Convert Electronvolt to Planck Temperature
Convert electronvolts to planck temperatures instantly. 1 eV = 8.190746e-29 T_P — use the live calculator, the exact formula, a reference-temperature table and worked examples. Also check the Planck Temperature to Electronvolt converter for the reverse conversion.
Units explained
Electronvolt
As a temperature unit, one electronvolt (eV) is the temperature at which a particle's characteristic thermal energy kT equals one electronvolt — exactly 11,604.51812 kelvins under the 2019 SI definitions of e and k.
Comes from the plasma-physics and astrophysics habit of quoting temperatures directly as energies through the Boltzmann relation E = kT, which removes constant unit conversions from the equations of hot ionized matter.
Standard in plasma physics, fusion research, and high-energy astrophysics: the core plasma of a tokamak runs at tens of kiloelectronvolts, while the Sun's core is about 1.3 keV.
Grew out of 20th-century particle- and plasma-physics convention; its kelvin equivalent became an exact number when the 2019 SI revision fixed both the elementary charge and the Boltzmann constant.
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.
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.
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.
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.
Electronvolt 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 electronvolts and planck temperatures:
To convert electronvolts to planck temperatures, multiply the value in electronvolts by 8.190746e-29. To reverse, multiply the value in planck temperatures by 1.22089e+28.
Both units count upward from absolute zero, so 0 eV = 0 T_P and the relationship is a pure ratio.
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 Electronvolt converter for the reverse direction.
Step-by-step: convert electronvolts to planck temperatures
- Write down the temperature in electronvolts (eV).
- Multiply the value in electronvolts by 8.190746e-29.
- The result is the same temperature expressed in planck temperatures (T_P).
- To reverse, multiply the value in planck temperatures by 1.22089e+28 — or open the Planck Temperature to Electronvolt converter.
Worked examples
Example 1 — Convert 1 eV to T_P:
1 × 8.190746e-29 = 8.190746e-29 T_P
Example 2 — Convert 100 eV to T_P:
100 × 8.190746e-29 = 8.190746e-27 T_P
Electronvolt to Planck Temperature conversion table
Physically meaningful reference temperatures, from absolute zero to the surface of the Sun, converted from electronvolts to planck temperatures:
| Electronvolt [eV] | Planck Temperature [T_P] | Reference point |
|---|---|---|
| 0 | 0 | Absolute zero |
| 0.0200913125 | 1.645628e-30 | Where Celsius and Fahrenheit coincide (−40°) |
| 0.0220062754 | 1.802478e-30 | Zero Fahrenheit (0 °F) |
| 0.0235382458 | 1.927958e-30 | Water freezes (0 °C / 32 °F) |
| 0.0235391075 | 1.928029e-30 | Triple point of water |
| 0.0243999791 | 1.99854e-30 | Cool day (10 °C / 50 °F) |
| 0.0252617125 | 2.069123e-30 | Room temperature (20 °C / 68 °F) |
| 0.0256925791 | 2.104414e-30 | Standard laboratory temperature (25 °C) |
| 0.0261234458 | 2.139705e-30 | Hot day (30 °C / 86 °F) |
| 0.0267266591 | 2.189113e-30 | Human body temperature (37 °C / 98.6 °F) |
| 0.0269851791 | 2.210288e-30 | Heat-wave day (40 °C / 104 °F) |
| 0.0278469124 | 2.28087e-30 | Hot tap water (50 °C / 122 °F) |
| 0.0321555791 | 2.633782e-30 | Water boils (100 °C / 212 °F) |
| 0.0390494457 | 3.198441e-30 | Moderate baking oven (180 °C / 356 °F) |
| 0.4979095159 | 4.07825e-29 | Surface of the Sun (≈5,505 °C) |
Frequently asked questions
How many planck temperatures is 1 electronvolt?
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Sources & references
Conversion relationship (1 eV = 8.190746e-29 T_P) 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.