Brilliance 14 · Fire 67 · Scintillation 86 · in our census, where the T73 scores 86 · 35 · 80 in topaz
How the DG-Bowtie handles light in topaz, measured: brilliance 14, fire 67 and 62% leakage, set against the T73 in the same stone and against the same cut in diamond.
Light Return map of the DG-Bowtie in topaz, face-up, from our own tracer at refractive index 1.606. Red, green and blue return light to the eye; gray leaks.
DG-Bowtie Topaz
Topaz has a refractive index of 1.606 to 1.644 and a dispersion of 0.014. Its critical angle, from the low end of that range, is 38.5°, so a round design needs a pavilion of at least 38.5° for head-on light to reflect off both sides of the pavilion and leave through the table. We trace it with one index, 1.625, the midpoint of the published range, and a fire spread of 0.012, 0.86 of the published dispersion. Every picture here is our Light Return tracer at 1.606, and every figure is from the same light census that scores the other gemstones; the 3D Gemstone Simulator shows the DG-Bowtie in topaz live.
The DG-Bowtie has 87 facets and a total depth of 93.8% of its width; its pavilion mains sit at 42.0°. In topaz, the census returns 14 of 100 for brilliance and 67 for fire, against 86 and 35 for the T73, our benchmark, in the same stone; the same DG-Bowtie in diamond reads 27 and 82.
Is topaz good in a DG-Bowtie? Pros and cons, measured
Compared with the T73 Round Brilliant in topaz and with the DG-Bowtie 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 DG-Bowtie in topaz (white) against the T73 Round Brilliant in topaz (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 topaz: ahead on 2, behind on 6.
Global50, the comparison 75, difference −25
Brilliance14, the comparison 86, difference −72
Fire67, the comparison 35, difference +32
Scintillation86, the comparison 80, difference +6
Spread87, the comparison 100, difference −13
Symmetry94, the comparison 100, difference −6
Shape-norm16, the comparison 92, difference −76
Tilt64, the comparison 74, difference −10
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 DG-Bowtie gains in topaz
More fire than the T73 in topaz
Fire 67 against 35 for the T73 Round Brilliant in topaz: 32 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 (0.012 in topaz) and counts a ray as fire when the two directions differ by more than 0.6°. The DG-Bowtie reads 67 against 35 for the T73 in topaz. The figure is the census's; the 3D Gemstone Simulator renders topaz'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 DG-Bowtie in topaz under the sunny-day lighting.
Scintillation 86 against 80 for the T73 Round Brilliant in topaz: 6 points higher
Scintillation follows the number of facets the stone shows: 100 × (1 − e^(−facets / 45)). The DG-Bowtie has 87 facets and the T73 73, so 86 against 80. It depends on the geometry alone, so it is the same in every stone.
Scintillation follows the number of facets: more facets, more and smaller flashes as the stone moves. Compare the facet counts under the drawings; each drawing shows only the crown. Drawn from each cut's own model.
Brilliance 14 against 86 for the T73 Round Brilliant in topaz: 72 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 topaz, whose critical angle is 38.5°, the DG-Bowtie returns 14 of 100 and the T73 86. The DG-Bowtie's pavilion mains sit at 42.0°, the T73's at 40.8°. The maps below show where each stone's light returns from and where it leaks.
DG-Bowtie in topaz · Brilliance 14
T73 Round Brilliant in topaz · Brilliance 86
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 96 for brilliance in topaz, the best of the cuts we score there.
Leakage 62 against 14 for the T73 Round Brilliant in topaz: 48 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 DG-Bowtie leaks 62% in topaz against 14% for the T73 in topaz. Grey in the maps below is leaking light; the share under each picture is that picture's own.
DG-Bowtie in topaz · Leakage 62
0° · 62% leak
10° · 66% leak
20° · 72% leak
30° · 85% leak
T73 Round Brilliant in topaz · Leakage 14
0° · 10% leak
10° · 28% leak
20° · 32% leak
30° · 37% leak
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-M5 reads 4% for leakage in topaz, the best of the cuts we score there.
Tilt 64 against 83 for the DG-Bowtie in diamond: 19 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 DG-Bowtie keeps 64 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.
DG-Bowtie in topaz · Tilt 64
0° · 62% leak
10° · 66% leak
20° · 72% leak
30° · 85% leak
DG-Bowtie in diamond · Tilt 83
0° · 47% leak
10° · 44% leak
20° · 47% leak
30° · 51% 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 T105 Round Brilliant reads 78 for tilt in topaz, the best of the cuts we score there.
Face-up size 92 against 100 for the T73 Round Brilliant in topaz (T73 = 100): 8% less face-up area for the same weight
Face-up size is the outline's area per carat, measured from each model (T73 = 100): 92 for the DG-Bowtie 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.
DG-Bowtie · 9.13 x 4.43 mm at 1.00 ct · Face-up size 92
T73 Round Brilliant · 6.47 mm at 1.00 ct · Face-up size 100
Both stones weigh 1.00 ct in topaz 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.
What helps:the Marquise Cut reads 121 for face-up size in topaz, the best of the cuts we score there.
Pick the DG-Bowtie in topaz for this: it shows more fire than the T73 and has more facets to sparkle with. The catch: it returns less light than the T73, leaks more light than the T73, loses more light when tilted than in diamond and faces up smaller for its weight.
If that catch matters more to you, the DG-M5 reads 96 for brilliance in topaz, 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 DG-Bowtie model we traced.
DG-Bowtie Topaz: questions
Is the DG-Bowtie a good cut for topaz?
In our census the DG-Bowtie returns 14 of 100 for brilliance and 67 for fire in topaz, against 86 and 35 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 topaz need?
At least 38.5° for a round design: topaz's critical angle is 38.5°, 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 DG-Bowtie's pavilion mains sit at 42.0°.
How much does a DG-Bowtie weigh in topaz?
At 6.5 mm across, 3.17 ct in topaz, against 3.16 ct for the same cut in diamond, the same weight to the per cent: topaz's specific gravity is 3.535, diamond's 3.52.
Can I see the DG-Bowtie in topaz in 3D?
Yes: the 3D Gemstone Simulator renders it live, with topaz's own refractive index and dispersion. Topaz 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 DG-Bowtie Cut files
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DG-Bowtie Cut 3D files
The DG-Bowtie Cut as exact geometry: 87 planar facets, real-world scale, ready for CAD,
rendering, printing and casting.
