Gemstones

Emerald cutting files and 3D models

Refractive index 1.577 to 1.583 · critical angle 39.4° · 31 cuts measured

Cutting emerald (beryl)

Emerald is green beryl. With a low refractive index it needs a steep pavilion to keep head-on light in the stone, and with typical inclusions and some brittleness it is usually given a step cut with cropped corners, the shape that took its name.

Its low dispersion means colour, not fire, is what a cut has to show, which is another reason step cuts suit it so well.

Emerald optical properties

Refractive index1.577 to 1.583
Birefringence0.006
Dispersion0.014
Hardness (Mohs)7.5 to 8
Specific gravity2.72
Crystal systemHexagonal
Critical angle39.4°
Guide minimum pavilion angle43.1° for a round design

Where a property has a range, angles are calculated from the lower refractive index, which gives the stricter limit.

Every cut, measured in emerald

For each cut we measured how much of the pavilion, seen face-down, is steeper than emerald's critical angle of 39.4°, so that head-on light reflects instead of leaking out of the back. Weights are for each model at its reference size.

CutCategoryPavilion reflecting head-on lightWeightVerdictFiles
BL-Anteros CutBrilliants100%1.48 ctHolds head-on light3D + cutting
BL-Vitruvio CutBrilliants100%1.55 ctHolds head-on light3D + cutting
Cushion CutJewellery cuts100%1.17 ctHolds head-on light3D
Emerald CutJewellery cuts100%1.17 ctHolds head-on light3D + cutting
Princess CutJewellery cuts100%1.12 ctHolds head-on light3D
Square CutJewellery cuts100%1.20 ctHolds head-on light3D + cutting
T105 Round Brilliant CutBrilliants100%1.42 ctHolds head-on light3D + cutting
T57 Round Brilliant CutHistoric cuts100%1.40 ctHolds head-on light3D + cutting
T73 Round Brilliant CutBrilliants100%1.54 ctHolds head-on light3D + cutting
Triangle CutJewellery cuts100%1.55 ctHolds head-on light3D + cutting
Old European CutHistoric cuts100%1.55 ctHolds head-on light3D + cutting
Old Mine CutHistoric cuts100%1.55 ctHolds head-on light3D + cutting
Mazarin CutHistoric cuts99%1.55 ctHolds head-on light3D + cutting
Old Single CutHistoric cuts99%1.55 ctHolds head-on light3D + cutting
Peruzzi CutHistoric cuts99%1.55 ctHolds head-on light3D + cutting
Radiant Square CutJewellery cuts97%1.17 ctMinor windowing3D + cutting
Hexagon CutJewellery cuts89%1.17 ctSteepen the pavilion3D + cutting
Trillion CutJewellery cuts89%1.55 ctSteepen the pavilion3D + cutting
Octagon CutJewellery cuts89%1.55 ctSteepen the pavilion3D + cutting
Emerald Square CutJewellery cuts81%1.17 ctSteepen the pavilion3D + cutting
Asscher CutJewellery cuts79%1.17 ctSteepen the pavilion3D + cutting
Heart CutJewellery cuts79%1.17 ctSteepen the pavilion3D
Portuguese Bird's Nest CutJewellery cuts78%1.55 ctSteepen the pavilion3D + cutting
Baguette CutJewellery cuts78%1.17 ctSteepen the pavilion3D + cutting
Trilliant CutJewellery cuts77%1.19 ctSteepen the pavilion3D + cutting
Oval CutJewellery cuts55%1.24 ctSteepen the pavilion3D
Pear CutJewellery cuts52%1.23 ctSteepen the pavilion3D + cutting
Teardrop CutJewellery cuts52%1.23 ctSteepen the pavilion3D + cutting
Marquise CutJewellery cuts43%1.23 ctSteepen the pavilion3D + cutting
Radiant CutJewellery cuts29%1.55 ctSteepen the pavilion3D
Rectangle CutJewellery cuts27%1.21 ctSteepen the pavilion3D + cutting

Emerald: questions

What pavilion angle should I use for emerald?

For a round design, about 43.1° or steeper. That is the angle at which head-on light meets both sides of the pavilion above emerald's critical angle of 39.4° and reflects twice before leaving through the crown. Fancy shapes vary, which is why every cut page lists its own figure.

What is the critical angle of emerald?

39.4°, from a refractive index of 1.577. Light striking a facet from inside the stone at less than this angle from the facet's normal passes out; above it, it reflects.

Which cuts work best in emerald?

15 of our 31 cuts reflect head-on light from their whole pavilion in emerald, including BL-Anteros Cut, BL-Vitruvio Cut, Cushion Cut, Emerald Cut, Princess Cut, Square Cut.

How much does emerald weigh compared with diamond?

Emerald has a specific gravity of about 2.72 against diamond's 3.52, so a stone of the same size weighs about 0.77 times as much as the diamond.

Other gemstones