Gold Purity From Density Calculator

Estimate an indicative fine-gold percentage from measured density using an explicit two-component mixture model. Choose the assumed non-gold reference material to see how the result changes, and compare the measured density with common gold-karat reference ranges.

PURITY

Estimate Gold Purity From Density

Screening model — not an assay.

Indicative Modelled Gold Content
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Measured Density—
Modelled Fine Gold—
Modelled Karat—
Assumed Alloy Density—
Nearest Common Reference—
Model Status—
Important: Density alone cannot uniquely determine gold purity. This result depends on the assumed non-gold density and a simplified mixture model. Use assay or professional analytical testing for a definitive purity result.

Why Density Cannot Give an Exact Gold Purity

Gold purity is not uniquely encoded in density. An alloy can contain different combinations of silver, copper, zinc, palladium and other metals while having different densities at the same nominal karat.

This calculator therefore does not present its output as an assay. Instead, it shows the result of a clearly stated two-component model.

The Two-Component Density Model

1 / ρmix = x / ρgold + (1 − x) / ρalloy

x = (1/ρmix − 1/ρalloy) ÷ (1/ρgold − 1/ρalloy)

Here, x is the modelled mass fraction of fine gold, ρgold is the reference density of pure gold, ρalloy is the assumed density of the non-gold component and ρmix is the measured sample density.

Why the Alloy Reference Changes the Answer

A density of 15.5 g/cm³ does not correspond to one unique gold percentage. A model assuming a silver-rich non-gold component can produce a different estimate from a model assuming copper or zinc.

Changing the assumed alloy component is therefore not a cosmetic option. It changes the mathematical model itself.

Reference Gold Densities

ReferenceApprox. DensityRole
24K / Pure Gold19.32 g/cm³Pure-gold reference
22K Gold~17.5 g/cm³Approximate alloy reference
18K Gold~15.5 g/cm³Approximate alloy reference
14K Gold~13.1 g/cm³Approximate alloy reference

What a Density-Based Purity Test Can and Cannot Do

A density result can help screen for obvious inconsistencies, compare an object against material references and decide whether further testing is worthwhile. It cannot reliably identify exact karat when the composition or construction is unknown.

Hollow construction, stones, solder, plating, cavities and trapped air can all distort the effective density of a finished jewellery item.

Recommended Use

Use this page as a mathematical screening tool. For high-value jewellery, commercial settlement, manufacturing control or certification, use an appropriate assay or professional analytical technique.

Frequently Asked Questions

Can gold purity be calculated from density?

Only as a model-based screening estimate under stated assumptions. Density alone cannot uniquely determine purity.

What density is used for pure gold?

A common reference value is 19.32 g/cm³.

Can density determine whether gold is 18K or 22K?

It can support a comparison, but not conclusively determine karat.

Why does the calculator ask for alloy density?

The model needs an assumed non-gold component to solve the mixture equation.

Is this a replacement for XRF or fire assay?

No. It is a screening calculation, not a laboratory assay.