Brilliance 75 · Fire 58 · Scintillation 78 · in our census, where the T73 scores 90 · 53 · 80 in peridot
How the Square Cut handles light in peridot, measured: brilliance 75, fire 58 and 18% leakage, set against the T73 in the same stone and against the same cut in diamond.
Peridot has a refractive index of 1.650 to 1.690 and a dispersion of 0.020. Its critical angle, from the low end of that range, is 37.3°, so a round design needs a pavilion of at least 37.3° for head-on light to reflect off both sides of the pavilion and leave through the table. We trace it with one index, 1.670, the midpoint of the published range, and a fire spread of 0.017, 0.86 of the published dispersion. Every picture here is our Light Return tracer at 1.650, and every figure is from the same light census that scores the other gemstones; the 3D Gemstone Simulator shows the Square Cut in peridot live. Peridot is strongly doubly refractive (birefringence up to 0.038), so its back facets can look doubled. Our census traces one index (1.670), so the doubling is not in these figures.
The Square Cut has 69 facets and a total depth of 65.0% of its width; its pavilion mains sit at 41.4°. In peridot, the census returns 75 of 100 for brilliance and 58 for fire, against 90 and 53 for the T73, our benchmark, in the same stone; the same Square Cut in diamond reads 85 and 72.
Compared with the T73 Round Brilliant in peridot and with the 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 Square Cut in peridot (white) against the T73 Round Brilliant in peridot (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 peridot: ahead on 3, level on 1, behind on 4.
1.08 ct at 6.5 mm, against 1.14 ct for the same cut in diamond (−5%)
Weight follows specific gravity: 3.35 for peridot against 3.52 for diamond, so the same model at the same size weighs 1.08 ct here and 1.14 ct in diamond, 6.5 mm across. Nothing about the light changes with it.
Try it yourself: Weights in every gemstone on the Square Cut page
Brilliance 75 against 90 for the T73 Round Brilliant in peridot: 15 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 peridot, whose critical angle is 37.3°, the Square Cut returns 75 of 100 and the T73 90. The Square Cut's pavilion mains sit at 41.4°, the T73's at 40.8°. The maps below show where each stone's light returns from and where it leaks.
Square Cut in peridot · Brilliance 75
T73 Round Brilliant in peridot · Brilliance 90
What helps: the DG-M5 reads 99 for brilliance in peridot, the best of the cuts we score there.
Try it yourself: Open this Light Return map in the simulator
Fire 58 against 72 for the Square Cut in diamond: 14 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 (0.017 in peridot) and counts a ray as fire when the two directions differ by more than 0.6°. The Square Cut reads 58 against 72 for the same cut in diamond. The figure is the census's; the 3D Gemstone Simulator renders peridot'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 Square Cut in peridot under the sunny-day lighting.
What helps: the DG-Elongated Hexagon reads 83 for fire in peridot, the best of the cuts we score there.
Leakage 18 against 10 for the T73 Round Brilliant in peridot: 8 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 Square Cut leaks 18% in peridot against 10% for the T73 in peridot. Grey in the maps below is leaking light; the share under each picture is that picture's own.
Square Cut in peridot · Leakage 18
T73 Round Brilliant in peridot · Leakage 10
What helps: the DG-M5 reads 1% for leakage in peridot, the best of the cuts we score there.
Try it yourself: Tilt it yourself in the simulator's light map
Tilt 83 against 86 for the Square Cut in diamond: 3 points lower
Tilt is how much of its face-up brilliance a stone keeps when the census tilts it 20° about its long axis, with 2,200 rays. The Square Cut keeps 83 against 86 for the same cut in diamond. The tilt strips below show the maps at 0°, 10°, 20° and 30°, with each picture's own leak share under it.
Square Cut in peridot · Tilt 83
Square Cut in diamond · Tilt 86
What helps: the DG-Miliano reads 84 for tilt in peridot, the best of the cuts we score there.
Try it yourself: Compare the Tilt spoke in the Cut Performance Wheel
Pick the Square Cut in peridot for this: it weighs less than in diamond. The catch: it returns less light than the T73, shows less fire than in diamond, leaks more light than the T73 and loses more light when tilted than in diamond.
If that catch matters more to you, the DG-M5 reads 99 for brilliance in peridot, 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 Square Cut model we traced.
In our census the Square Cut returns 75 of 100 for brilliance and 58 for fire in peridot, against 90 and 53 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 37.3° for a round design: peridot's critical angle is 37.3°, 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 Square Cut's pavilion mains sit at 41.4°.
At 6.5 mm across, 1.08 ct in peridot, against 1.14 ct for the same cut in diamond (-5%): peridot's specific gravity is 3.35, diamond's 3.52.
Yes: the 3D Gemstone Simulator renders it live, with peridot's own refractive index and dispersion. Peridot 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 Square Cut as exact geometry: 69 planar facets, real-world scale, ready for CAD, rendering, printing and casting.
The Square Cut as a faceting design: 57 + 12 girdles = 69 facets, 64 index, 4-fold mirror-image 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.
Peridot: optical properties and the top ten cuts · The Square Cut: specifications, model and files