Gemstones

Sapphire 3D models and cutting files

Refractive index 1.762 to 1.770 · critical angle 34.6° · 37 cuts scored

Crystal structure, one unit cell · drag to turn

Cutting sapphire (corundum)

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

Many sapphires show color zoning and pleochroism, so the orientation of the table matters as much as the angles. With a hardness of 9, it is 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 angle36.4° for a round design

Where a property has a range, we calculate angles from the lower refractive index. It gives the stricter limit.

The top ten cuts in sapphire

In sapphire, the DG-Vitruvio Cut performs best of the 11 brilliants we score: 94 for brilliance, 37 for fire and 98 for scintillation. The DG-M5 Cut follows at 100, 39 and 85, then the DG-Miliano Cut at 90, 35 and 98. Of the three, the DG-M5 Cut has both the highest brilliance and the most fire.

The top ten brilliants in sapphire, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in sapphire
CutBrillianceFireScintillation
DG-Vitruvio, Brilliant94 (T73 benchmark 94)37 (T73 benchmark 37)98 (T73 benchmark 80)
DG-M5, House cut100 (T73 benchmark 94)39 (T73 benchmark 37)85 (T73 benchmark 80)
DG-Miliano, House cut90 (T73 benchmark 94)35 (T73 benchmark 37)98 (T73 benchmark 80)
DG-Anteros, Brilliant97 (T73 benchmark 94)43 (T73 benchmark 37)80 (T73 benchmark 80)
DG-Broken Hearts and Arrows, Brilliant95 (T73 benchmark 94)36 (T73 benchmark 37)86 (T73 benchmark 80)
T105 Round Brilliant, Brilliant90 (T73 benchmark 94)36 (T73 benchmark 37)90 (T73 benchmark 80)
T73 Round Brilliant, Benchmark943780
DG-Rafaello, House cut85 (T73 benchmark 94)25 (T73 benchmark 37)96 (T73 benchmark 80)
T57 Round Brilliant, Historic cut94 (T73 benchmark 94)39 (T73 benchmark 37)72 (T73 benchmark 80)
Old European, Historic cut78 (T73 benchmark 94)39 (T73 benchmark 37)81 (T73 benchmark 80)
Score out of 100T73 Round Brilliant, our benchmark, in sapphireBrilliants: the round cuts we score, from the Old Single to our house rounds. Ranked by brilliance, fire and scintillation added together; equal totals share a place

In sapphire, the Oval Cut performs best of the 23 jewelry cuts we score: 66 for brilliance, 74 for fire and 87 for scintillation. The Trilliant Cut follows at 86, 52 and 79, then the Trillion Cut at 72, 59 and 80. Of the three, the Trilliant Cut has the highest brilliance and the Oval Cut has the most fire.

The top ten jewelry cuts in sapphire, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in sapphire
CutBrillianceFireScintillation
Oval, Jewelry cut66 (T73 benchmark 94)74 (T73 benchmark 37)87 (T73 benchmark 80)
Trilliant, Jewelry cut86 (T73 benchmark 94)52 (T73 benchmark 37)79 (T73 benchmark 80)
Trillion, Jewelry cut72 (T73 benchmark 94)59 (T73 benchmark 37)80 (T73 benchmark 80)
Cushion, Jewelry cut88 (T73 benchmark 94)36 (T73 benchmark 37)85 (T73 benchmark 80)
Teardrop, Jewelry cut59 (T73 benchmark 94)64 (T73 benchmark 37)81 (T73 benchmark 80)
Square, Jewelry cut78 (T73 benchmark 94)45 (T73 benchmark 37)78 (T73 benchmark 80)
Princess, Jewelry cut68 (T73 benchmark 94)52 (T73 benchmark 37)78 (T73 benchmark 80)
Emerald Square, Jewelry cut71 (T73 benchmark 94)53 (T73 benchmark 37)72 (T73 benchmark 80)
Marquise, Jewelry cut55 (T73 benchmark 94)54 (T73 benchmark 37)86 (T73 benchmark 80)
Pear, Jewelry cut62 (T73 benchmark 94)56 (T73 benchmark 37)76 (T73 benchmark 80)
Score out of 100T73 Round Brilliant, our benchmark, in sapphireJewelry cuts: the fancy shapes we score, our house shapes among them. Ranked by brilliance, fire and scintillation added together; equal totals share a place

Brilliance is the share of face-up light that the stone returns. Fire is the share of that light that splits into color. Both come from our face-up light census. Scintillation is the sparkle that facets give as a stone moves, and we read it from the facets of each cut. We score 37 cuts, with the same figures as the Cut Performance Wheel, where you can compare any cut with any other in sapphire. Mazarin, Peruzzi and Old Mine, historic cushions, are in neither list. Each measured cut’s own page shows its figures in all seven gemstones. A simulation of the geometry, not a grading report.

Sapphire: questions

What pavilion angle should I use for sapphire?

For a round design, at least 36.4°. At that angle or steeper, light that arrives straight down reflects off both sides of the pavilion, beyond the critical angle of sapphire (34.6°). Then it leaves through the table. The angle is the larger of the critical angle and (180° − critical angle) / 4. Faceters usually cut a degree or two steeper, for light that arrives off the axis. Fancy shapes vary, so every cut page lists its own figure.

Head-on light in sapphire at the guide pavilionThe pavilion of a round at 36.4 degrees, the guide minimum for sapphire, under the table. A ray that comes straight down meets the first pavilion main at 36.4 degrees, the opposite main at 70.8 degrees and the table at 34.4 degrees. At this angle it meets the table at 34.4 degrees, just under the critical angle of 34.6 degrees, and leaves.p = 36.4°180° − 3p = 70.8°|180° − 4p| = 34.4°TableAt the table it meets 34.4°, just under the criticalangle of 34.6°, so it leaves. With a shallowerpavilion, the table reflects it back.Sapphire · pavilion 36.4°Critical angle 34.6°
Head-on light in sapphire at 36.4°: look at the table, where it leaves just under the critical angle.
What is the critical angle of sapphire?

34.6°, from a refractive index of 1.762. Light that strikes a facet from inside the stone at less than this angle from the normal of the facet passes out. At a larger angle, it reflects.

Which cuts work best in sapphire?

We add brilliance, fire and scintillation together. By that total, the DG-Vitruvio Cut, the DG-M5 Cut and the DG-Miliano Cut are the best brilliants in sapphire. By the same total, the best jewelry cuts are the Oval Cut, the Trilliant Cut and the Trillion Cut. We score 37 cuts in all, and this page ranks the top ten of each.

How much does sapphire weigh compared with diamond?

Sapphire has a specific gravity of about 4.00, and diamond has 3.52. So a stone of the same size weighs about 1.14 times as much as the diamond.

Other gemstones