Convert Gram to Atomic Mass Unit
Convert grams to atomic mass unit instantly. 1 gram = 6.022137e+23 atomic mass unit — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Atomic Mass Unit to Gram converter for the reverse conversion.
Units explained
Gram
The gram (g) equals one-thousandth of a kilogram.
From Late Latin 'gramma', a small weight or scruple.
The everyday metric unit for food, medicine, and small objects.
Defined in 1795 as the mass of one cubic centimeter of water at melting point.
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.
Introduced to give atomic and molecular masses convenient numerical values.
Atomic, molecular, and nuclear physics and chemistry.
The unified (carbon-12) scale was adopted by IUPAC and IUPAP in 1960-1961.
Gram to Atomic Mass Unit conversion formula
The relationship between grams and atomic mass unit:
To convert grams to atomic mass unit, multiply the value in grams by 6.022137e+23. To reverse, multiply atomic mass unit by 1.66054e-24.
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 Gram converter for the reverse direction.
Step-by-step: convert grams to atomic mass unit
- Write down the value in grams (g).
- Multiply that value by the factor 6.022137e+23.
- The product is the equivalent value in atomic mass unit (u).
- To reverse, multiply the atomic mass unit value by 1.66054e-24.
Worked examples
Example 1 — Convert 1 g to u:
1 × 6.022137e+23 = 6.022137e+23 u
Example 2 — Convert 100 g to u:
100 × 6.022137e+23 = 6.022137e+25 u
Real-world example — Centimeter to wavelength scale
One gram equals 10 million atomic mass unit. Physics curricula use this kind of conversion to relate everyday measurements to atomic and optical scales.
1 g × 6.022137e+23 = 6.022137e+23 u
Real-world example — Small-scale to atomic-scale
One gram equals 10 million atomic mass unit — useful for physics curricula that relate everyday measurements to atomic and optical scales.
1 g × 6.022137e+23 = 6.022137e+23 u
Gram to Atomic Mass Unit conversion table
Standard reference values for converting grams to atomic mass unit:
| Gram [g] | Atomic Mass Unit [u] |
|---|---|
| 0.01 | 6.022137e+21 |
| 0.1 | 6.022137e+22 |
| 1 | 6.022137e+23 |
| 2 | 1.204427e+24 |
| 3 | 1.806641e+24 |
| 4 | 2.408855e+24 |
| 5 | 3.011068e+24 |
| 10 | 6.022137e+24 |
| 20 | 1.204427e+25 |
| 30 | 1.806641e+25 |
| 40 | 2.408855e+25 |
| 50 | 3.011068e+25 |
| 100 | 6.022137e+25 |
| 500 | 3.011068e+26 |
| 1000 | 6.022137e+26 |
Frequently asked questions
How many atomic mass unit is 1 gram?
How do I convert grams to atomic mass unit?
How do I convert atomic mass unit back to grams?
How many atomic mass unit is 100 grams?
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Metric / SI (17 units)
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Biblical / Ancient (14 units)
Sources & references
Conversion factor (1 g = 6.022137e+23 u) 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.
- NIST — Refinement of values for the yard and pound (Federal Register 1959)
The treaty (signed by US
- International Hydrographic Organization — Resolution on the Nautical Mile
International authority that standardised the nautical mile at exactly 1852 m in 1929 — the value adopted worldwide for sea and air navigation.