Temperature · Unit Converter

Convert Newton to Electronvolt

Convert degrees newton to electronvolts instantly. eV = (°N × 0.000261131311) + 0.0235382458 — use the live calculator, the exact formula, a reference-temperature table and worked examples. Also check the Electronvolt to Newton 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

Newton

What is a degree 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.

Origin of the degree newton

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.

Where it is used

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.

When and where it was developed

Published by Isaac Newton in the Philosophical Transactions of the Royal Society in London, around 1701.

Scientific & Fixed-Point

Electronvolt

What is an 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.

Origin of the electronvolt

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.

Where it is used

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.

When and where it was developed

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 to Electronvolt conversion formula

The exact relationship between degrees newton and electronvolts:

eV = (°N × 0.000261131311) + 0.0235382458
°N = (eV × 3829.49098) − 90.1395

To convert degrees newton to electronvolts, multiply the value by 0.000261131311, then add 0.0235382458. To reverse, multiply the value by 3829.49098, then subtract 90.1395.

Reference anchors: water freezes at 0 °N = 0.0235382458 eV and boils at 33 °N = 0.0321555791 eV (at standard atmospheric pressure).

How to use this converter

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

Step-by-step: convert degrees newton to electronvolts

  1. Write down the temperature in degrees newton (°N).
  2. Multiply the value by 0.000261131311, then add 0.0235382458.
  3. The result is the same temperature expressed in electronvolts (eV).
  4. To reverse, multiply the value by 3829.49098, then subtract 90.1395 — or open the Electronvolt to Newton converter.

Worked examples

Example 1 — Convert 12.21 °N to eV (human body temperature):
(12.21 × 0.000261131311) + 0.0235382458 = 0.0267266591 eV

Example 2 — Convert 33 °N to eV (the boiling point of water):
(33 × 0.000261131311) + 0.0235382458 = 0.0321555791 eV

Newton to Electronvolt conversion table

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

Newton [°N]Electronvolt [eV]Reference point
-90.13950Absolute zero
-13.20.0200913125Where Celsius and Fahrenheit coincide (−40°)
-5.86666666670.0220062754Zero Fahrenheit (0 °F)
00.0235382458Water freezes (0 °C / 32 °F)
0.00330.0235391075Triple point of water
3.30.0243999791Cool day (10 °C / 50 °F)
6.60.0252617125Room temperature (20 °C / 68 °F)
8.250.0256925791Standard laboratory temperature (25 °C)
9.90.0261234458Hot day (30 °C / 86 °F)
12.210.0267266591Human body temperature (37 °C / 98.6 °F)
13.20.0269851791Heat-wave day (40 °C / 104 °F)
16.50.0278469124Hot tap water (50 °C / 122 °F)
330.0321555791Water boils (100 °C / 212 °F)
59.40.0390494457Moderate baking oven (180 °C / 356 °F)
1816.60050.4979095159Surface of the Sun (≈5,505 °C)

Frequently asked questions

What is 12.21 °N in eV?
12.21 °N equals 0.0267266591 eV — normal human body temperature.
How do I convert degrees newton to electronvolts?
Use the formula eV = (°N × 0.000261131311) + 0.0235382458: multiply the value by 0.000261131311, then add 0.0235382458.
How do I convert electronvolts back to degrees newton?
Apply the reverse formula °N = (eV × 3829.49098) − 90.1395 — multiply the value by 3829.49098, then subtract 90.1395 — or use the Electronvolt to Newton converter.
At what temperature do the Newton and Electronvolt scales read the same number?
Both scales show the same number at 0.023544394: 0.023544394 °N = 0.023544394 eV. Set eV = °N 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 Newton to other temperature units

Show all Newton conversions

Sources & references

Conversion relationship (eV = (°N × 0.000261131311) + 0.0235382458) verified against the following authoritative sources:

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