Convert Electronvolt to Newton
Convert electronvolts to degrees newton instantly. °N = (eV × 3829.49098) − 90.1395 — use the live calculator, the exact formula, a reference-temperature table and worked examples. Also check the Newton 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.
Newton
The degree Newton (°N) sets the freezing point of water at 0 °N and the boiling point at 33 °N, making one degree Newton equal to exactly 100/33 kelvins (about 3.03 K) — the largest degree of any classic scale.
Devised by Isaac Newton using linseed-oil thermometers and a ladder of everyday reference points such as melting snow and the heat of the human body, published anonymously around 1701.
Never adopted for practical measurement, but historically important: Newton's idea of anchoring a scale to two reproducible fixed points directly influenced Celsius's centigrade approach four decades later.
Published by Isaac Newton in the Philosophical Transactions of the Royal Society in London, around 1701.
Electronvolt to Newton conversion formula
The exact relationship between electronvolts and degrees newton:
To convert electronvolts to degrees newton, multiply the value by 3829.49098, then subtract 90.1395. To reverse, multiply the value by 0.000261131311, then add 0.0235382458.
Reference anchors: water freezes at 0.0235382458 eV = 0 °N and boils at 0.0321555791 eV = 33 °N (at standard atmospheric pressure).
How to use this converter
Type a value into the calculator. The result in degrees newton updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Newton to Electronvolt converter for the reverse direction.
Step-by-step: convert electronvolts to degrees newton
- Write down the temperature in electronvolts (eV).
- Multiply the value by 3829.49098, then subtract 90.1395.
- The result is the same temperature expressed in degrees newton (°N).
- To reverse, multiply the value by 0.000261131311, then add 0.0235382458 — or open the Newton to Electronvolt converter.
Worked examples
Example 1 — Convert 1 eV to °N:
(1 × 3829.49098) − 90.1395 = 3739.3514801115 °N
Example 2 — Convert 100 eV to °N:
(100 × 3829.49098) − 90.1395 = 382858.9585111527 °N
Electronvolt to Newton conversion table
Physically meaningful reference temperatures, from absolute zero to the surface of the Sun, converted from electronvolts to degrees newton:
| Electronvolt [eV] | Newton [°N] | Reference point |
|---|---|---|
| 0 | -90.1395 | Absolute zero |
| 0.0200913125 | -13.2 | Where Celsius and Fahrenheit coincide (−40°) |
| 0.0220062754 | -5.8666666667 | Zero Fahrenheit (0 °F) |
| 0.0235382458 | 0 | Water freezes (0 °C / 32 °F) |
| 0.0235391075 | 0.0033 | Triple point of water |
| 0.0243999791 | 3.3 | Cool day (10 °C / 50 °F) |
| 0.0252617125 | 6.6 | Room temperature (20 °C / 68 °F) |
| 0.0256925791 | 8.25 | Standard laboratory temperature (25 °C) |
| 0.0261234458 | 9.9 | Hot day (30 °C / 86 °F) |
| 0.0267266591 | 12.21 | Human body temperature (37 °C / 98.6 °F) |
| 0.0269851791 | 13.2 | Heat-wave day (40 °C / 104 °F) |
| 0.0278469124 | 16.5 | Hot tap water (50 °C / 122 °F) |
| 0.0321555791 | 33 | Water boils (100 °C / 212 °F) |
| 0.0390494457 | 59.4 | Moderate baking oven (180 °C / 356 °F) |
| 0.4979095159 | 1816.6005 | Surface of the Sun (≈5,505 °C) |
Frequently asked questions
What is 1 eV in °N?
How do I convert electronvolts to degrees newton?
How do I convert degrees newton back to electronvolts?
At what temperature do the Electronvolt and Newton scales read the same number?
Can a temperature be below absolute zero?
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Sources & references
Conversion relationship (°N = (eV × 3829.49098) − 90.1395) 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.