Brilliance 74 · Fire 58 · Scintillation 72 · in our census, where the T73 scores 92 · 47 · 80 in tanzanite
How the Emerald Square Cut handles light in tanzanite, measured: brilliance 74, fire 58 and 23% leakage, set against the T73 in the same stone and against the same cut in diamond.
Tanzanite has a refractive index of 1.685 to 1.707 and a dispersion of 0.019. Its critical angle, from the low end of that range, is 36.4°, so a round design needs a pavilion of at least 36.4° for head-on light to reflect off both sides of the pavilion and leave through the table. We trace it with one index, 1.696, the midpoint of the published range, and a fire spread of 0.016, 0.86 of the published dispersion. Every picture here is our Light Return tracer at 1.685, and every figure is from the same light census that scores the other gemstones; the 3D Gemstone Simulator shows the Emerald Square Cut in tanzanite live.
The Emerald Square Cut has 49 facets and a total depth of 61.0% of its width; its pavilion mains sit at 28.3°. In tanzanite, the census returns 74 of 100 for brilliance and 58 for fire, against 92 and 47 for the T73, our benchmark, in the same stone; the same Emerald Square Cut in diamond reads 64 and 84.
Compared with the T73 Round Brilliant in tanzanite and with the Emerald Square Cut in diamond. A difference counts from 3 points (Brilliance, Fire, Tilt, Leakage), 5 (Scintillation, Symmetry), 4% (face-up size per carat) or 5% (weight); Tilt counts as a pro only for a stone within 5 points of the brilliance it is compared with. How we measure.
At a glance: the Emerald Square Cut in tanzanite (white) against the T73 Round Brilliant in tanzanite (dashed): solid white where it reaches further, hatched where it falls short. Each pro and con is explained, with pictures, below.
Against the T73 Round Brilliant in tanzanite: ahead on 3, level on 1, behind on 4.
1.39 ct at 6.5 mm, against 1.46 ct for the same cut in diamond (−5%)
Weight follows specific gravity: 3.35 for tanzanite against 3.52 for diamond, so the same model at the same size weighs 1.39 ct here and 1.46 ct in diamond, 6.5 mm across. Nothing about the light changes with it.
Try it yourself: Weights in every gemstone on the Emerald Square Cut page
Fire 58 against 84 for the Emerald Square Cut in diamond: 26 points lower
Fire is the share of the returned light that splits into color at the exit facet: the census traces each exit again at the refractive index minus and plus the fire spread (0.016 in tanzanite) and counts a ray as fire when the two directions differ by more than 0.6°. The Emerald Square Cut reads 58 against 84 for the same cut in diamond. The figure is the census's; the 3D Gemstone Simulator renders tanzanite's fire live.
The fire figure is the census's, traced at the refractive index minus and plus the fire spread. See the fire in the 3D Gemstone Simulator: the Emerald Square Cut in tanzanite under the sunny-day lighting.
What helps: the DG-Elongated Hexagon reads 79 for fire in tanzanite, the best of the cuts we score there.
Brilliance 74 against 92 for the T73 Round Brilliant in tanzanite: 18 points lower
Brilliance is the share of the 3,200 census rays that enter the stone and come back out of the crown towards the viewer. In tanzanite, whose critical angle is 36.4°, the Emerald Square Cut returns 74 of 100 and the T73 92. The Emerald Square Cut's pavilion mains sit at 28.3°, the T73's at 40.8°. The maps below show where each stone's light returns from and where it leaks.
Emerald Square Cut in tanzanite · Brilliance 74
T73 Round Brilliant in tanzanite · Brilliance 92
What helps: the DG-M5 reads 100 for brilliance in tanzanite, the best of the cuts we score there.
Try it yourself: Open this Light Return map in the simulator
Leakage 23 against 8 for the T73 Round Brilliant in tanzanite: 15 points higher
Leakage is the share of the census rays that enter the stone and leave through the pavilion, or through the crown heading down. The Emerald Square Cut leaks 23% in tanzanite against 8% for the T73 in tanzanite. Grey in the maps below is leaking light; the share under each picture is that picture's own.
Emerald Square Cut in tanzanite · Leakage 23
T73 Round Brilliant in tanzanite · Leakage 8
What helps: the DG-M5 reads 0% for leakage in tanzanite, the best of the cuts we score there.
Try it yourself: Tilt it yourself in the simulator's light map
Scintillation 72 against 80 for the T73 Round Brilliant in tanzanite: 8 points lower
Scintillation follows the number of facets the stone shows: 100 × (1 − e^(−facets / 45)). The Emerald Square Cut has 49 facets and the T73 73, so 72 against 80. It depends on the geometry alone, so it is the same in every stone.
Emerald Square Cut · 49 facets · Scintillation 72
T73 Round Brilliant · 73 facets · Scintillation 80
What helps: the DG-Miliano reads 98 for scintillation in tanzanite, the best of the cuts we score there.
Try it yourself: Compare the Scintillation spoke in the Cut Performance Wheel
Pick the Emerald Square Cut in tanzanite for this: it weighs less than in diamond. The catch: it shows less fire than in diamond, returns less light than the T73, leaks more light than the T73 and has fewer facets to sparkle with.
If that catch matters more to you, the DG-Elongated Hexagon reads 79 for fire in tanzanite, the best of the cuts we score there.
Every figure on this page is from our light census, traced at one refractive index: a simulation of the geometry, not a grading report. The 3D files and cutting files below are the same Emerald Square Cut model we traced.
In our census the Emerald Square Cut returns 74 of 100 for brilliance and 58 for fire in tanzanite, against 92 and 47 for the T73 in the same stone. Against that round and against the same cut in diamond it has 1 pro and 4 cons by our thresholds; the summary above names them.
At least 36.4° for a round design: tanzanite's critical angle is 36.4°, from the low end of its refractive index range, and head-on light has to reflect off both sides of the pavilion and leave through the table. The Emerald Square Cut's pavilion mains sit at 28.3°.
At 6.5 mm across, 1.39 ct in tanzanite, against 1.46 ct for the same cut in diamond (-5%): tanzanite's specific gravity is 3.35, diamond's 3.52.
Yes: the 3D Gemstone Simulator renders it live, with tanzanite's own refractive index and dispersion. Tanzanite is traced by the same light census as the other gemstones, with its refractive index and fire spread derived from published values, so its scores are on the same scale; the pictures here are our Light Return tracer, and the Cut Performance Wheel sets it against any other cut and stone.
The Emerald Square Cut as exact geometry: 49 planar facets, real-world scale, ready for CAD, rendering, printing and casting.
The Emerald Square Cut as a faceting design: 41 + 8 girdles = 49 facets, 96 index, 4-fold symmetry, ready for the machine.
Not sure the files open in your software? Get the cube free: the same six formats, for your email address, used only to send them (privacy).
Questions before you buy? Email us.
Tanzanite: optical properties and the top ten cuts · The Emerald Square Cut: specifications, model and files