Brilliance 65 · Fire 74 · Scintillation 72 · in our census, where the T73 scores 96 · 54 · 80 in YAG
How the Emerald Cut handles light in YAG, measured: brilliance 65, fire 74 and 25% leakage, set against the T73 in the same stone and against the same cut in diamond.
Light Return map of the Emerald Cut in YAG, face-up, from our own tracer at refractive index 1.833. Red, green and blue return light to the eye; gray leaks.
Emerald Cut YAG
YAG has a refractive index of 1.833 and a dispersion of 0.028. Its critical angle, from the low end of that range, is 33.1°, so a round design needs a pavilion of at least 36.7° for head-on light to reflect off both sides of the pavilion and leave through the table. We trace it with one index, 1.833, the midpoint of the published range, and a fire spread of 0.024, 0.86 of the published dispersion. Every picture here is our Light Return tracer at 1.833, and every figure is from the same light census that scores the other gemstones; the 3D Gemstone Simulator shows the Emerald Cut in YAG live.
The Emerald Cut has 57 facets and a total depth of 68.6% of its width; its pavilion mains sit at 41.0°. In YAG, the census returns 65 of 100 for brilliance and 74 for fire, against 96 and 54 for the T73, our benchmark, in the same stone; the same Emerald Cut in diamond reads 55 and 87.
Is YAG good in an Emerald? Pros and cons, measured
Compared with the T73 Round Brilliant in YAG and with the Emerald 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.
All eight scores against the T73
At a glance: the Emerald Cut in YAG (white) against the T73 Round Brilliant in YAG (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 yag: ahead on 1, behind on 7.
Global67, the comparison 83, difference −16
Brilliance65, the comparison 96, difference −31
Fire74, the comparison 54, difference +20
Scintillation72, the comparison 80, difference −8
Spread96, the comparison 100, difference −4
Symmetry64, the comparison 100, difference −36
Shape-norm85, the comparison 103, difference −18
Tilt57, the comparison 78, difference −21
Face-up light census, a different measure from the Cut Grading Tool; Spread and Shape-norm above 100 sit on the ring. Spread is the census's estimate from depth alone; the face-up size in the pros and cons is measured from each model's outline. Open it in the Cut Performance Wheel; these are the same census figures as our Cut Performance Index.
What the Emerald Cut gains in YAG
More fire than the T73 in YAG
Fire 74 against 54 for the T73 Round Brilliant in YAG: 20 points higher
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 (0.024 in YAG) and counts a ray as fire when the two directions differ by more than 0.6°. The Emerald Cut reads 74 against 54 for the T73 in YAG. The figure is the census's; the 3D Gemstone Simulator renders YAG'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 Cut in YAG under the sunny-day lighting.
Face-up size 105 against 100 for the T73 Round Brilliant in YAG (T73 = 100): 5% more face-up area for the same weight
Face-up size is the outline's area per carat, measured from each model (T73 = 100): 105 for the Emerald Cut against 100 for the T73. The same volume spread over a longer or shallower outline shows more face for the weight; it is the same in every stone, because specific gravity scales every cut alike.
Emerald Cut · 6.77 x 4.51 mm at 1.00 ct · Face-up size 105
T73 Round Brilliant · 5.95 mm at 1.00 ct · Face-up size 100
Both stones weigh 1.00 ct in YAG and are drawn to the same scale in millimeters, from each cut's own model. Face-up size is the outline's area per carat, with the T73 at 100: a deeper stone, or a rounder outline, spreads less area for its weight.
Symmetry 64 against 100 for the T73 Round Brilliant in YAG: 36 points lower
Symmetry reads how evenly the pavilion facets of each design family are cut: 100 − 6 × their scatter in degrees. The Emerald Cut reads 64, the T73 100. It depends on the geometry alone, so it is the same in every stone.
Emerald Cut · 57 facets · Symmetry 64
T73 Round Brilliant · 73 facets · Symmetry 100
Symmetry scores how regular the pavilion facets are within the design. Compare how evenly the facets repeat around each pavilion. Drawn from each cut's own model.
Brilliance 65 against 96 for the T73 Round Brilliant in YAG: 31 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 YAG, whose critical angle is 33.1°, the Emerald Cut returns 65 of 100 and the T73 96. The Emerald Cut's pavilion mains sit at 41.0°, the T73's at 40.8°. The maps below show where each stone's light returns from and where it leaks.
Emerald Cut in YAG · Brilliance 65
T73 Round Brilliant in YAG · Brilliance 96
Red, green and blue = light returning to the eye; gray = leakage, light that leaves heading down or stays inside. This is the head-on view; the Brilliance score averages a wider cone of light, so the score can differ from what one picture shows.
What helps:the DG-M5 reads 97 for brilliance in YAG, the best of the cuts we score there.
2.99 ct at 6.5 mm, against 2.31 ct for the same cut in diamond (+29%)
Weight follows specific gravity: 4.55 for YAG against 3.52 for diamond, so the same model at the same size weighs 2.99 ct here and 2.31 ct in diamond, 6.5 mm across. Nothing about the light changes with it.
A Emerald Cut 6.5 mm across, weighed from the model's measured volume and each stone's specific gravity.
Tilt 57 against 83 for the Emerald Cut in diamond: 26 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 Emerald Cut keeps 57 against 83 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.
Emerald Cut in YAG · Tilt 57
0° · 25% leak
10° · 30% leak
20° · 50% leak
30° · 61% leak
Emerald Cut in diamond · Tilt 83
0° · 31% leak
10° · 31% leak
20° · 38% leak
30° · 44% leak
Tilt is how much of its own face-up light a stone keeps when tilted. Each frame is the Light Return map with the stone tilted away from you by the angle shown; gray is leakage. The share under each frame is that picture's own.
What helps:the DG-Miliano reads 85 for tilt in YAG, the best of the cuts we score there.
Pick the Emerald Cut in YAG for this: it shows more fire than the T73 and faces up larger for its weight. The catch: it has a less regular pavilion than the T73, returns less light than the T73, weighs more than in diamond and loses more light when tilted than in diamond.
If that catch matters more to you, the DG-M5 reads 97 for brilliance in YAG, 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 Cut model we traced.
Emerald Cut YAG: questions
Is the Emerald a good cut for YAG?
In our census the Emerald Cut returns 65 of 100 for brilliance and 74 for fire in YAG, against 96 and 54 for the T73 in the same stone. Against that round and against the same cut in diamond it has 2 pros and 4 cons by our thresholds; the summary above names them.
What pavilion angle does YAG need?
At least 36.7° for a round design: YAG's critical angle is 33.1°, 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 Cut's pavilion mains sit at 41.0°.
How much does a Emerald weigh in YAG?
At 6.5 mm across, 2.99 ct in YAG, against 2.31 ct for the same cut in diamond (+29%): YAG's specific gravity is 4.55, diamond's 3.52.
Can I see the Emerald in YAG in 3D?
Yes: the 3D Gemstone Simulator renders it live, with YAG's own refractive index and dispersion. YAG 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.
Get the Emerald Cut files
6 formatsMillimetersWatertight
Emerald Cut 3D files
The Emerald Cut as exact geometry: 57 planar facets, real-world scale, ready for CAD,
rendering, printing and casting.
Save with a bundle: the Emerald Cut 3D files are also in Jewelry Essentials 3D, 10 cuts for €29.99 until 1 December, then €39.99 (€99.90 as single files). Buy the bundle.
Save with a bundle: the Emerald Cut cutting files are also in Faceter's Classics, 10 cuts for €22.49 until 1 December, then €29.99 (€69.90 as single files). Buy the bundle.
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).
