Gemstones

Diamond 3D models and cutting files

Refractive index 2.417 · critical angle 24.4° · 37 cuts scored

Crystal structure, one unit cell · drag to turn

Cutting diamond

Diamond has the highest refractive index of any natural gem in common use. So its critical angle is small, and almost any sensible pavilion reflects head-on light. A good diamond cut differs from an average one in how much of that light comes back toward the viewer. It also differs in how it breaks that light into brilliance and fire.

Diamond is not cut on a hobby faceting machine. Cutters saw it, brute it and polish it on a scaife, or cut it with lasers. Faceting files are still the standard way to plan and communicate a diamond design, and jewelry CAD needs 3D models.

Diamond optical properties

Refractive index2.417
BirefringenceNone (isotropic)
Dispersion0.044
Hardness (Mohs)10
Specific gravity3.52
Crystal systemCubic
Critical angle24.4°
Guide minimum pavilion angle38.9° 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 diamond

In diamond, the DG-Miliano Cut performs best of the 11 brilliants we score: 95 for brilliance, 82 for fire and 98 for scintillation. The DG-Rafaello Cut (94, 80 and 96) and the DG-Vitruvio Cut (93, 79 and 98) share second place. Of the three, the DG-Miliano Cut has both the highest brilliance and the most fire.

The top ten brilliants in diamond, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in diamond
CutBrillianceFireScintillation
DG-Miliano, House cut95 (T73 benchmark 93)82 (T73 benchmark 78)98 (T73 benchmark 80)
DG-Rafaello, House cut94 (T73 benchmark 93)80 (T73 benchmark 78)96 (T73 benchmark 80)
DG-Vitruvio, Brilliant93 (T73 benchmark 93)79 (T73 benchmark 78)98 (T73 benchmark 80)
T105 Round Brilliant, Brilliant95 (T73 benchmark 93)77 (T73 benchmark 78)90 (T73 benchmark 80)
DG-Broken Hearts and Arrows, Brilliant93 (T73 benchmark 93)78 (T73 benchmark 78)86 (T73 benchmark 80)
T73 Round Brilliant, Benchmark937880
DG-M5, House cut97 (T73 benchmark 93)67 (T73 benchmark 78)85 (T73 benchmark 80)
DG-Anteros, Brilliant95 (T73 benchmark 93)74 (T73 benchmark 78)80 (T73 benchmark 80)
Old European, Historic cut90 (T73 benchmark 93)74 (T73 benchmark 78)81 (T73 benchmark 80)
T57 Round Brilliant, Historic cut92 (T73 benchmark 93)79 (T73 benchmark 78)72 (T73 benchmark 80)
Score out of 100T73 Round Brilliant, our benchmark, in diamondBrilliants: 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 diamond, the Portuguese Bird's Nest Cut performs best of the 23 jewelry cuts we score: 85 for brilliance, 65 for fire and 98 for scintillation. The Trilliant Cut follows at 78, 83 and 79, then the Marquise Cut at 64, 89 and 86. Of the three, the Portuguese Bird's Nest Cut has the highest brilliance and the Marquise Cut has the most fire.

The top ten jewelry cuts in diamond, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in diamond
CutBrillianceFireScintillation
Portuguese Bird's Nest, Jewelry cut85 (T73 benchmark 93)65 (T73 benchmark 78)98 (T73 benchmark 80)
Trilliant, Jewelry cut78 (T73 benchmark 93)83 (T73 benchmark 78)79 (T73 benchmark 80)
Marquise, Jewelry cut64 (T73 benchmark 93)89 (T73 benchmark 78)86 (T73 benchmark 80)
Cushion, Jewelry cut80 (T73 benchmark 93)73 (T73 benchmark 78)85 (T73 benchmark 80)
Square, Jewelry cut85 (T73 benchmark 93)72 (T73 benchmark 78)78 (T73 benchmark 80)
Trillion, Jewelry cut67 (T73 benchmark 93)87 (T73 benchmark 78)80 (T73 benchmark 80)
DG-Octagonal Kite, House cut88 (T73 benchmark 93)82 (T73 benchmark 78)60 (T73 benchmark 80)
Oval, Jewelry cut47 (T73 benchmark 93)92 (T73 benchmark 78)87 (T73 benchmark 80)
Asscher, Jewelry cut69 (T73 benchmark 93)80 (T73 benchmark 78)72 (T73 benchmark 80)
Emerald Square, Jewelry cut64 (T73 benchmark 93)84 (T73 benchmark 78)72 (T73 benchmark 80)
Score out of 100T73 Round Brilliant, our benchmark, in diamondJewelry 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 diamond. 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.

Diamond: questions

What pavilion angle should I use for diamond?

For a round design, at least 38.9°. At that angle or steeper, light that arrives straight down reflects off both sides of the pavilion, beyond the critical angle of diamond (24.4°). 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 diamond at the guide pavilionThe pavilion of a round at 38.9 degrees, the guide minimum for diamond, under the table. A ray that comes straight down meets the first pavilion main at 38.9 degrees, the opposite main at 63.3 degrees and the table at 24.4 degrees. At this angle it meets the table at 24.40 degrees, just under the critical angle of 24.44 degrees, and leaves.p = 38.9°180° − 3p = 63.3°|180° − 4p| = 24.4°TableAt the table it meets 24.40°, just under the criticalangle of 24.44°, so it leaves. With a shallowerpavilion, the table reflects it back.Diamond · pavilion 38.9°Critical angle 24.4°
Head-on light in diamond at 38.9°: look at the table, where it leaves just under the critical angle.
What is the critical angle of diamond?

24.4°, from a refractive index of 2.417. 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 diamond?

We add brilliance, fire and scintillation together. By that total, the DG-Miliano Cut, the DG-Rafaello Cut and the DG-Vitruvio Cut are the best brilliants in diamond. By the same total, the best jewelry cuts are the Portuguese Bird's Nest Cut, the Trilliant Cut and the Marquise Cut. We score 37 cuts in all, and this page ranks the top ten of each.

Other gemstones