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Gemstone Density Calculator

Calculate specific gravity from hydrostatic weighing (weight in air and water) for gem identification.

About this calculator

Specific gravity is one of the most reliable ways to identify a loose gemstone, because it depends only on the mineral's internal structure and not on its cut, size, or color. This calculator applies Archimedes' principle through hydrostatic weighing: you weigh the stone normally (Weight in Air), then weigh it again while it's fully submerged in water (Weight in Water). The difference between those two readings equals the weight of the water the stone displaces, which is directly proportional to its volume -- dividing Weight in Air by that difference gives specific gravity. Weight in Air and Weight in Water enter the formula symmetrically: Volume is simply their difference, so a one-carat change in either reading moves Volume by the same one-carat amount (in the opposite direction for Weight in Water).

What actually carries the identifying information is that difference -- the weight of water the stone displaces -- not either individual reading on its own. Because water at 4degC has a density of 1 g/cm3, the specific gravity number and the density in g/cm3 come out numerically identical for practical gemology purposes. The Possible Gem Matches list compares your computed specific gravity against reference values published by the Gemological Institute of America (GIA) for major gem species -- diamond at 3.52, ruby and sapphire (both corundum) around 3.97-4.05, and emerald at 2.72, for example -- to narrow down what a mystery stone might be. A single SG reading rarely identifies a gem on its own, since several species overlap in range, but combined with refractive index and other tests it's a fast, non-destructive first screen.

Inputs

ct
ct

Results

Specific Gravity

3.52

Density3.52 g/cm³
Possible GemsDiamond, Topaz
Volume0.28 cm³

Figures current as of 2026. Sources: Gemological Institute of America (GIA), Gem Encyclopedia — Diamond, Gemological Institute of America (GIA), Gem Encyclopedia — Ruby, Gemological Institute of America (GIA), Gem Encyclopedia — Emerald

How to Use This Calculator
  1. Place the gemstone on a precision scale and record the Weight in Air in carats.
  2. Suspend the stone in distilled water using a thin wire and record the Weight in Water.
  3. Review the calculated Specific Gravity — diamond is 3.52, ruby 3.99, emerald 2.72.
  4. Check the list of Possible Gem Matches for stones with similar specific gravity values.
  5. Use the Volume in cm³ to cross-check carat weight estimates for mounted stones.

How the result changes with Weight in Air

Weight in AirSpecific Gravity
2.50
3.7522.06
7.51.91
131.38

What each input means

Weight in Air
Gemstone weight measured in air (carats or grams)
Weight in Water
Gemstone weight measured submerged in water

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    Weight in Air = 5, Weight in Water = 3.58 = 2 input(s) provided
  2. Calculate Specific Gravity
    Specific Gravity
    3.521 = 3.521
  3. Calculate Density
    Density
    3.521 = 3.521
  4. Calculate Possible Gems
    Possible Gems
    Diamond, Topaz = Diamond, Topaz

Figures and sources

Engine last updated . Checked against 2 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 does hydrostatic weighing work for identifying gems?

Submerging the stone lets water buoyancy do the volume measurement for you -- Archimedes' principle says the weight lost underwater equals the weight of the water displaced, and that displaced volume is exactly the stone's own volume. Dividing the stone's dry weight by that volume-equivalent weight loss gives specific gravity, a property that doesn't change no matter how the stone is cut or polished.

What's the difference between the Specific Gravity and Density results?

They're the same number here for practical purposes -- water's density at 4degC is defined as exactly 1 gram per cubic centimeter, so a stone's specific gravity (its weight relative to an equal volume of water) and its density in g/cm3 come out numerically identical. Gemologists usually talk in specific gravity because it's unitless and comparable across any measurement system.

Can specific gravity alone confirm what gem I have?

Not on its own -- several gem species share overlapping specific gravity ranges (topaz and spinel both sit close to 3.5-3.6, for instance), so the Possible Gem Matches list is meant as a narrowing tool rather than a definitive ID. The comparison ranges themselves come from the Gemological Institute of America's published per-species property data (for example, GIA lists diamond at SG 3.52 and emerald at SG 2.72). Pairing the SG reading with refractive index, hardness, or a loupe inspection for inclusions gives a much more confident identification.

Why does the weight lost underwater matter more than either weight alone?

Volume and Specific Gravity are both driven by the gap between the two readings, not by either one in isolation -- that gap is the weight of water the stone displaced, which is what Archimedes' principle actually measures. Weight in Air and Weight in Water each move Volume by an equal and opposite amount, so it's the weight "lost" underwater, not the raw size of either reading, that tells you the stone's volume.

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