Mass and Weight · Unit Converter

Convert Proton Mass to Neutron Mass

Convert proton mass to neutron mass instantly. 1 proton mass = 0.9986235234 neutron mass — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Neutron Mass to Proton Mass converter for the reverse conversion.

Written by Sunith Babu L, Ph.D., Lead Engineer Reviewed by Dr. Ashok Kumar K, Ph.D.
Mass and Weight category 2 min read Published Last reviewed Updated

Units explained

Scientific / Atomic

Proton Mass

What is a proton mass?

The proton rest mass is about 1.6726E-27 kg.

Origin of the proton mass

The mass of the proton, the positively charged nucleon.

Where it is used

Nuclear and particle physics, and chemistry.

When and where it was developed

Quantified after Rutherford identified the proton around 1917-1920.

Scientific / Atomic

Neutron Mass

What is a neutron mass?

The neutron rest mass is about 1.6749E-27 kg, slightly more than the proton.

Origin of the neutron mass

The mass of the neutron, the neutral nucleon.

Where it is used

Nuclear physics and reactor science.

When and where it was developed

Determined after James Chadwick discovered the neutron in 1932.

Proton Mass to Neutron Mass conversion formula

Note: this conversion uses a generally accepted modern value. Historical and regional definitions of this unit varied across times and places.

The relationship between proton mass and neutron mass:

1 mp = 0.9986235234 mn
1 mn = 1.0013783739 mp

To convert proton mass to neutron mass, multiply the value in proton mass by 0.9986235234. To reverse, multiply neutron mass by 1.0013783739.

How to use this converter

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

Step-by-step: convert proton mass to neutron mass

  1. Write down the value in proton mass (mp).
  2. Multiply that value by the factor 0.9986235234.
  3. The product is the equivalent value in neutron mass (mn).
  4. To reverse, multiply the neutron mass value by 1.0013783739.

Worked examples

Example 1 — Convert 1 mp to mn:
1 × 0.9986235234 = 0.9986235234 mn

Example 2 — Convert 100 mp to mn:
100 × 0.9986235234 = 99.8623523415 mn

Real-world example — Molecular dimensions

The diameter of small molecular structures (around 2 proton mass) is often converted into related sub-micron units when comparing measurements across different microscopy techniques or imaging modalities.

2 mp × 0.9986235234 = 1.9972470468 mn

Real-world example — Wavelengths across the spectrum

Optical and atomic-scale phenomena are routinely cross-converted between sub-micron units. A photon of wavelength 800 proton mass can be re-expressed in neutron mass for direct comparison with another instrument's calibration data sheet.

800 mp × 0.9986235234 = 798.8988187317 mn

Proton Mass to Neutron Mass conversion table

Standard reference values for converting proton mass to neutron mass:

Proton Mass [mp]Neutron Mass [mn]
0.010.0099862352
0.10.0998623523
10.9986235234
21.9972470468
32.9958705702
43.9944940937
54.9931176171
109.9862352341
2019.9724704683
3029.9587057024
4039.9449409366
5049.9311761707
10099.8623523415
500499.3117617073
1000998.6235234147

Frequently asked questions

How many neutron mass is 1 proton mass?
1 proton mass equals 0.9986235234 neutron mass.
How do I convert proton mass to neutron mass?
Multiply the value in proton mass by 0.9986235234 to get neutron mass.
How do I convert neutron mass back to proton mass?
Multiply the value in neutron mass by 1.0013783739, or use the Neutron Mass to Proton Mass converter.
How many neutron mass is 100 proton mass?
100 proton mass equals 99.8623523415 neutron mass, because 100 × 0.9986235234 = 99.8623523415.

Convert Proton Mass to other weight units

Show all Proton Mass conversions
Metric / SI (18 units)
Avoirdupois (15 units)
Troy & Apothecary (10 units)
Indian / South Asian (6 units)
Scientific / Atomic (8 units)
Astronomical (4 units)
Biblical / Ancient (14 units)
Force / Engineering (5 units)

Sources & references

Conversion factor (1 mp = 0.9986235234 mn) verified against the following authoritative sources:

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