Gemstones

Sapphire cutting files and 3D models

Refractive index 1.762 to 1.770 · critical angle 34.6° · 31 cuts measured

Cutting sapphire (corundum)

Sapphire is corundum in every colour other than red, and optically it behaves exactly as ruby does: the same refractive index, the same critical angle and the same need for a steeper pavilion than diamond.

Many sapphires show colour zoning and pleochroism, so the orientation of the table matters as much as the angles. Hardness 9 makes it one of the most durable stones to set.

Sapphire optical properties

Refractive index1.762 to 1.770
Birefringence0.008
Dispersion0.018
Hardness (Mohs)9
Specific gravity4.00
Crystal systemTrigonal
Critical angle34.6°
Guide minimum pavilion angle41.5° 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 sapphire

For each cut we measured how much of the pavilion, seen face-down, is steeper than sapphire's critical angle of 34.6°, 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%2.17 ctHolds head-on light3D + cutting
BL-Vitruvio CutBrilliants100%2.28 ctHolds head-on light3D + cutting
Cushion CutJewellery cuts100%1.72 ctHolds head-on light3D
Emerald CutJewellery cuts100%1.73 ctHolds head-on light3D + cutting
Oval CutJewellery cuts100%1.82 ctHolds head-on light3D
Portuguese Bird's Nest CutJewellery cuts100%2.27 ctHolds head-on light3D + cutting
Princess CutJewellery cuts100%1.65 ctHolds head-on light3D
Radiant Square CutJewellery cuts100%1.73 ctHolds head-on light3D + cutting
Square CutJewellery cuts100%1.77 ctHolds head-on light3D + cutting
T105 Round Brilliant CutBrilliants100%2.09 ctHolds head-on light3D + cutting
T57 Round Brilliant CutHistoric cuts100%2.06 ctHolds head-on light3D + cutting
T73 Round Brilliant CutBrilliants100%2.26 ctHolds head-on light3D + cutting
Teardrop CutJewellery cuts100%1.81 ctHolds head-on light3D + cutting
Triangle CutJewellery cuts100%2.27 ctHolds head-on light3D + cutting
Trilliant CutJewellery cuts100%1.75 ctHolds head-on light3D + cutting
Old European CutHistoric cuts100%2.27 ctHolds head-on light3D + cutting
Old Mine CutHistoric cuts100%2.27 ctHolds head-on light3D + cutting
Mazarin CutHistoric cuts99%2.27 ctHolds head-on light3D + cutting
Old Single CutHistoric cuts99%2.27 ctHolds head-on light3D + cutting
Peruzzi CutHistoric cuts99%2.27 ctHolds head-on light3D + cutting
Heart CutJewellery cuts97%1.73 ctMinor windowing3D
Hexagon CutJewellery cuts89%1.73 ctSteepen the pavilion3D + cutting
Asscher CutJewellery cuts89%1.73 ctSteepen the pavilion3D + cutting
Trillion CutJewellery cuts89%2.27 ctSteepen the pavilion3D + cutting
Octagon CutJewellery cuts89%2.27 ctSteepen the pavilion3D + cutting
Emerald Square CutJewellery cuts89%1.73 ctSteepen the pavilion3D + cutting
Pear CutJewellery cuts84%1.81 ctSteepen the pavilion3D + cutting
Baguette CutJewellery cuts78%1.73 ctSteepen the pavilion3D + cutting
Rectangle CutJewellery cuts62%1.78 ctSteepen the pavilion3D + cutting
Marquise CutJewellery cuts54%1.80 ctSteepen the pavilion3D + cutting
Radiant CutJewellery cuts38%2.27 ctSteepen the pavilion3D

Sapphire: questions

What pavilion angle should I use for sapphire?

For a round design, about 41.5° or steeper. That is the angle at which head-on light meets both sides of the pavilion above sapphire's critical angle of 34.6° 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 sapphire?

34.6°, from a refractive index of 1.762. 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 sapphire?

20 of our 31 cuts reflect head-on light from their whole pavilion in sapphire, including BL-Anteros Cut, BL-Vitruvio Cut, Cushion Cut, Emerald Cut, Oval Cut, Portuguese Bird's Nest Cut.

How much does sapphire weigh compared with diamond?

Sapphire has a specific gravity of about 4.00 against diamond's 3.52, so a stone of the same size weighs about 1.14 times as much as the diamond.

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