Alloy Composition Calculator
Convert between weight percent and atomic percent for a three-element alloy system.
About this calculator
Alloy composition can be described two different ways, and materials scientists routinely need to convert between them: weight percent (what fraction of the alloy's total mass each element contributes) and atomic percent (what fraction of the total atom count each element contributes). These are not the same number whenever the elements have different atomic masses -- a heavier element contributes more mass per atom than a lighter one, so an element with a large atomic mass will always show a higher weight percent than atomic percent for the same physical alloy, while a lighter element shows the reverse. This calculator uses the standard metallurgical conversion: weight percent comes directly from each element's mass share of the total, while atomic percent first converts each element's weight percent into a mole count by dividing by its atomic mass, then re-normalizes those mole counts to percentages.
Composition matters because many alloy properties -- phase stability, hardenability, corrosion resistance -- are governed by atomic-scale interactions and are more naturally described in atomic percent, while alloy specifications, purchasing, and mixing recipes are almost always written in weight percent because that's what you actually measure on a scale. Getting the conversion right matters for anyone cross-referencing a phase diagram (typically plotted in atomic percent) against a commercial alloy spec sheet (typically written in weight percent).
Inputs
Results
Element 1 Weight %
72.92 wt%
Element 2 Weight %
18.75 wt%
How to Use This Calculator
- Enter the weight and atomic mass of Element 1 (e.g., iron: weight 70 g, atomic mass 55.845).
- Set the weight and atomic mass of Element 2 (e.g., chromium: weight 18 g, atomic mass 51.996).
- Optionally add Element 3 weight and atomic mass for ternary alloys.
- The calculator outputs weight percent and atomic percent for each element.
- Use the composition results to verify alloy specifications or design custom blends.
How the result changes with Element 1 Weight
| Element 1 Weight | Element 1 Weight % | Element 2 Weight % |
|---|---|---|
| 35 | 57.38 wt% | 29.51 wt% |
| 53 | 67.09 wt% | 22.78 wt% |
| 105 | 80.15 wt% | 13.74 wt% |
| 175 | 87.06 wt% | 8.96 wt% |
What each input means
- Element 1 Weight
- Mass of the first element (e.g., Iron in steel).
- Element 1 Atomic Mass
- Atomic mass of element 1 (e.g., Fe = 55.845 g/mol).
- Element 2 Weight
- Mass of the second element (e.g., Chromium in stainless steel).
- Element 2 Atomic Mass
- Atomic mass of element 2 (e.g., Cr = 51.996 g/mol).
- Element 3 Weight
- Mass of the third element (e.g., Nickel in stainless steel). Set to 0 if binary alloy.
- Element 3 Atomic Mass
- Atomic mass of element 3 (e.g., Ni = 58.693 g/mol).
How this is calculated
Worked example, using the default values
- Identify Input Parameters6 parametersElement 1 Weight = 70, Element 1 Atomic Mass = 55.845, Element 2 Weight = 18, Element 2 Atomic Mass = 51.996, Element 3 Weight = 8, Element 3 Atomic Mass = 58.693 = 6 input(s) provided
- Calculate Element 1 Weight %72.92 = 72.92
- Calculate Element 2 Weight %18.75 = 18.75
- Calculate Element 1 Atomic %72.21 = 72.21
- Calculate Element 2 Atomic %19.94 = 19.94
Engine last updated . Checked against 5 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why do weight percent and atomic percent give different numbers for the same alloy?
Weight percent measures each element's share of the alloy's total mass, while atomic percent measures its share of the total number of atoms -- and those diverge whenever the elements have different atomic masses. A heavier element contributes more mass per individual atom, so it always registers a higher weight percent than atomic percent in the same alloy, while a lighter element shows the opposite pattern; only when all the elements happen to share identical atomic masses would the two percentages match.
Why doesn't changing an element's atomic mass affect its weight percent?
Weight percent is calculated purely from the mass values you enter for each element, divided by their total mass -- atomic mass never enters that calculation at all. Atomic mass only comes into play when converting weight percent into mole counts for the atomic percent calculation, so adjusting an element's atomic mass (for example, to model a different isotope or to correct a data entry) changes its atomic percent without touching its weight percent.
Why does increasing an element's atomic mass lower its own atomic percent?
Atomic percent is derived by converting each element's weight percent into a mole count -- dividing by atomic mass -- before re-normalizing across all elements. If an element's weight share stays the same but its atomic mass increases, that same mass now corresponds to fewer moles (fewer individual atoms), so its share of the total atom count, and therefore its atomic percent, goes down even though nothing about its weight contribution changed.
How do I use this for a binary (two-element) alloy instead of three elements?
Set Element 3 Weight to 0 -- with zero mass contributed, it drops out of both the weight percent and atomic percent calculations entirely, leaving the results as a standard two-element conversion between Element 1 and Element 2. The Element 3 Atomic Mass field can be left at any value in that case, since a zero weight means it has no effect on the outcome either way.
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