Understanding the Diamond Carat Calculator
A diamond's carat weight is normally read straight off a jeweler's scale. But when a stone is already mounted in a ring or pendant, it usually cannot be weighed directly. Jewelers and appraisers get around this with a trade-standard estimated weight formula: measure the stone's length, width, and depth with calipers (in millimeters), then multiply those dimensions by a constant that depends on the diamond's shape. This calculator applies that formula.
The formula
For a round brilliant, the formula is:
Estimated carat weight = D² × depth × 0.0061
where D is the average girdle diameter in millimeters (the mean of the smallest and largest diameter, since few round stones are perfectly circular) and depth is the total height from table to culet, also in millimeters.
Fancy shapes replace D² with the length-times-width footprint and use their own constant:
- Round brilliant: D² × depth × 0.0061
- Princess: L × W × depth × 0.0083
- Cushion: L × W × depth × 0.0080
- Emerald: L × W × depth × 0.0080
- Asscher: L × W × depth × 0.0080
- Oval: L × W × depth × 0.0062
- Marquise: L × W × depth × 0.00565
- Pear: L × W × depth × 0.0060
- Heart: L × W × depth × 0.0059
These constants are averages built from typical, well-proportioned cuts of each shape. A stone cut unusually shallow, deep, or "spread" wide relative to its weight will estimate less accurately — the formula assumes ordinary proportions.
Depth percentage and proportions
Alongside the weight estimate, it helps to check depth percentage: depth divided by the average diameter (or width), shown as a percent. For round brilliants, a depth of roughly 58% to 63% of the diameter is typical of a well-proportioned cut; figures well outside that band often signal either an unusual cut or a measurement mistake. The length-to-width ratio (length ÷ width) is another quick check — close to 1.00 means a round or square outline, while a higher ratio means a more elongated stone, which is expected for shapes like oval, marquise, and pear.
Common reference sizes
As a rough guide, well-proportioned round brilliants of these approximate carat weights typically measure close to these diameters: 0.50 ct ≈ 5.2 mm, 1.00 ct ≈ 6.5 mm, 1.50 ct ≈ 7.4 mm, and 2.00 ct ≈ 8.2 mm. Actual diameters vary with cut depth, so use these as a sanity check, not an exact lookup.
Practical context
This formula is an estimate, not a substitute for a certified weight. Whenever possible, prefer the carat weight printed on a gemological lab report (GIA, AGS, or similar) or measured on a calibrated scale after the stone is unmounted. Use this calculator when neither is available — for a quick appraisal of mounted jewelry, a private sale, or an inherited piece.