Gemstones

Amethyst cutting files and 3D models

Refractive index 1.544 to 1.553 · critical angle 40.4° · 31 cuts measured

Cutting amethyst (quartz)

Amethyst is purple quartz, and quartz has one of the lowest refractive indices of the common faceting materials. Its critical angle is large, so designs made for diamond window badly unless the pavilion is steepened. It is also a favourite first stone for cutters, and quartz is where most faceting designs are first tested.

Amethyst often shows colour zoning. Cutters orient the rough so the darker zone sits low in the pavilion, where the facets spread its colour across the face-up stone.

Amethyst optical properties

Refractive index1.544 to 1.553
Birefringence0.009
Dispersion0.013
Hardness (Mohs)7
Specific gravity2.65
Crystal systemTrigonal
Critical angle40.4°
Guide minimum pavilion angle43.5° 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 amethyst

For each cut we measured how much of the pavilion, seen face-down, is steeper than amethyst's critical angle of 40.4°, 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-Vitruvio CutBrilliants100%1.51 ctHolds head-on light3D + cutting
Emerald CutJewellery cuts100%1.14 ctHolds head-on light3D + cutting
Princess CutJewellery cuts100%1.09 ctHolds head-on light3D
T105 Round Brilliant CutBrilliants100%1.38 ctHolds head-on light3D + cutting
T57 Round Brilliant CutHistoric cuts100%1.36 ctHolds head-on light3D + cutting
T73 Round Brilliant CutBrilliants100%1.50 ctHolds head-on light3D + cutting
Triangle CutJewellery cuts100%1.51 ctHolds head-on light3D + cutting
Old European CutHistoric cuts100%1.51 ctHolds head-on light3D + cutting
Old Mine CutHistoric cuts100%1.51 ctHolds head-on light3D + cutting
Mazarin CutHistoric cuts99%1.51 ctHolds head-on light3D + cutting
Old Single CutHistoric cuts99%1.51 ctHolds head-on light3D + cutting
Peruzzi CutHistoric cuts99%1.51 ctHolds head-on light3D + cutting
Hexagon CutJewellery cuts89%1.14 ctSteepen the pavilion3D + cutting
Octagon CutJewellery cuts89%1.51 ctSteepen the pavilion3D + cutting
Radiant Square CutJewellery cuts89%1.14 ctSteepen the pavilion3D + cutting
Cushion CutJewellery cuts85%1.14 ctSteepen the pavilion3D
Emerald Square CutJewellery cuts81%1.14 ctSteepen the pavilion3D + cutting
Heart CutJewellery cuts79%1.14 ctSteepen the pavilion3D
Portuguese Bird's Nest CutJewellery cuts78%1.51 ctSteepen the pavilion3D + cutting
Baguette CutJewellery cuts78%1.14 ctSteepen the pavilion3D + cutting
Trilliant CutJewellery cuts77%1.16 ctSteepen the pavilion3D + cutting
BL-Anteros CutBrilliants76%1.44 ctSteepen the pavilion3D + cutting
Trillion CutJewellery cuts72%1.51 ctSteepen the pavilion3D + cutting
Square CutJewellery cuts68%1.17 ctSteepen the pavilion3D + cutting
Asscher CutJewellery cuts56%1.14 ctSteepen the pavilion3D + cutting
Pear CutJewellery cuts52%1.20 ctSteepen the pavilion3D + cutting
Marquise CutJewellery cuts43%1.20 ctSteepen the pavilion3D + cutting
Teardrop CutJewellery cuts43%1.20 ctSteepen the pavilion3D + cutting
Oval CutJewellery cuts39%1.21 ctSteepen the pavilion3D
Radiant CutJewellery cuts29%1.51 ctSteepen the pavilion3D
Rectangle CutJewellery cuts19%1.18 ctSteepen the pavilion3D + cutting

Amethyst: questions

What pavilion angle should I use for amethyst?

For a round design, about 43.5° or steeper. That is the angle at which head-on light meets both sides of the pavilion above amethyst's critical angle of 40.4° 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 amethyst?

40.4°, from a refractive index of 1.544. 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 amethyst?

12 of our 31 cuts reflect head-on light from their whole pavilion in amethyst, including BL-Vitruvio Cut, Emerald Cut, Princess Cut, T105 Round Brilliant Cut, T57 Round Brilliant Cut, T73 Round Brilliant Cut.

How much does amethyst weigh compared with diamond?

Amethyst has a specific gravity of about 2.65 against diamond's 3.52, so a stone of the same size weighs about 0.75 times as much as the diamond.

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