Mass and Weight · Unit Converter

Convert Grain to Atomic Mass Unit

Convert grains to atomic mass unit instantly. 1 grain = 3.902278e+22 atomic mass unit — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Atomic Mass Unit to Grain 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

Avoirdupois

Grain

What is a grain?

The grain (gr) equals 1/7000 of an avoirdupois pound, about 64.8 milligrams.

Origin of the grain

Based on the nominal mass of a single barley grain.

Where it is used

Ammunition and bullet mass, archery, and historical pharmacy.

When and where it was developed

Standardized through the English avoirdupois system and retained in 1959.

Scientific / Atomic

Atomic Mass Unit

What is a atomic mass unit?

One unified atomic mass unit (u) is defined as 1/12 the mass of a carbon-12 atom, about 1.6605E-27 kg.

Origin of the atomic mass unit

Introduced to give atomic and molecular masses convenient numerical values.

Where it is used

Atomic, molecular, and nuclear physics and chemistry.

When and where it was developed

The unified (carbon-12) scale was adopted by IUPAC and IUPAP in 1960-1961.

Grain to Atomic Mass Unit conversion formula

The relationship between grains and atomic mass unit:

1 gr = 3.902278e+22 u
1 u = 2.562606e-23 gr

To convert grains to atomic mass unit, multiply the value in grains by 3.902278e+22. To reverse, multiply atomic mass unit by 2.562606e-23.

How to use this converter

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

Step-by-step: convert grains to atomic mass unit

  1. Write down the value in grains (gr).
  2. Multiply that value by the factor 3.902278e+22.
  3. The product is the equivalent value in atomic mass unit (u).
  4. To reverse, multiply the atomic mass unit value by 2.562606e-23.

Worked examples

Example 1 — Convert 1 gr to u:
1 × 3.902278e+22 = 3.902278e+22 u

Example 2 — Convert 100 gr to u:
100 × 3.902278e+22 = 3.902278e+24 u

Real-world example — From microns to sub-micron features

One grain equals one thousand atomic mass unit — the conversion semiconductor designers do constantly when comparing mask feature dimensions to actual transistor gate lengths.

1 gr × 3.902278e+22 = 3.902278e+22 u

Real-world example — Infrared to visible-spectrum mapping

A 10-grain thermal infrared wavelength corresponds to a much larger number in atomic mass unit, the unit favoured for ultraviolet and visible-light specifications.

10 gr × 3.902278e+22 = 3.902278e+23 u

Real-world example — Mid-micron to nanometer

3 grains equals 3,000 atomic mass unit — useful when relating mid-infrared wavelengths (typically quoted in microns) to nanometer-scale visible-light wavelength tables.

3 gr × 3.902278e+22 = 1.170683e+23 u

Grain to Atomic Mass Unit conversion table

Standard reference values for converting grains to atomic mass unit:

Grain [gr]Atomic Mass Unit [u]
0.013.902278e+20
0.13.902278e+21
13.902278e+22
27.804557e+22
31.170683e+23
41.560911e+23
51.951139e+23
103.902278e+23
207.804557e+23
301.170683e+24
401.560911e+24
501.951139e+24
1003.902278e+24
5001.951139e+25
10003.902278e+25

Frequently asked questions

How many atomic mass unit is 1 grain?
1 grain equals 3.902278e+22 atomic mass unit.
How do I convert grains to atomic mass unit?
Multiply the value in grains by 3.902278e+22 to get atomic mass unit.
How do I convert atomic mass unit back to grains?
Multiply the value in atomic mass unit by 2.562606e-23, or use the Atomic Mass Unit to Grain converter.
How many atomic mass unit is 100 grains?
100 grains equals 3.902278e+24 atomic mass unit, because 100 × 3.902278e+22 = 3.902278e+24.

Convert Grain to other weight units

Show all Grain conversions
Metric / SI (18 units)
Avoirdupois (14 units)
Troy & Apothecary (10 units)
Indian / South Asian (6 units)
Scientific / Atomic (9 units)
Astronomical (4 units)
Biblical / Ancient (14 units)
Force / Engineering (5 units)

Sources & references

Conversion factor (1 gr = 3.902278e+22 u) verified against the following authoritative sources:

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