Radiant Cut Topaz: more fire than the T73 in topaz
Brilliance 23 · Fire 58 · Scintillation 74 · in our census, where the T73 scores 86 · 35 · 80 in topaz
How the Radiant Cut handles light in topaz, measured: brilliance 23, fire 58 and 73% leakage, set against the T73 in the same stone and against the same cut in diamond.
Light Return map of the Radiant Cut in topaz, face-up, from our own tracer at refractive index 1.606. Red, green and blue return light to the eye; gray leaks.
Radiant Cut 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 Radiant Cut in topaz live.
The Radiant Cut has 74 facets and a total depth of 53.8% of its width. In topaz, the census returns 23 of 100 for brilliance and 58 for fire, against 86 and 35 for the T73, our benchmark, in the same stone; the same Radiant Cut in diamond reads 32 and 77.
Is topaz good in a Radiant? Pros and cons, measured
Compared with the T73 Round Brilliant in topaz and with the Radiant 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 Radiant Cut 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 3, behind on 5.
Global55, the comparison 75, difference −20
Brilliance23, the comparison 86, difference −63
Fire58, the comparison 35, difference +23
Scintillation74, the comparison 80, difference −6
Spread105, the comparison 100, difference +5
Symmetry99, the comparison 100, difference −1
Shape-norm26, the comparison 92, difference −66
Tilt100, the comparison 74, difference +26
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 Radiant Cut gains in topaz
More fire than the T73 in topaz
Fire 58 against 35 for the T73 Round Brilliant in topaz: 23 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 Radiant Cut reads 58 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 Radiant Cut in topaz under the sunny-day lighting.
Face-up size 118 against 100 for the T73 Round Brilliant in topaz (T73 = 100): 18% more face-up area for the same weight
Face-up size is the outline's area per carat, measured from each model (T73 = 100): 118 for the Radiant 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.
Radiant Cut · 6.90 x 3.76 mm at 1.00 ct · Face-up size 118
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.
Brilliance 23 against 86 for the T73 Round Brilliant in topaz: 63 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 Radiant Cut returns 23 of 100 and the T73 86. The maps below show where each stone's light returns from and where it leaks.
Radiant Cut in topaz · Brilliance 23
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 73 against 14 for the T73 Round Brilliant in topaz: 59 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 Radiant Cut leaks 73% 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.
Radiant Cut in topaz · Leakage 73
0° · 74% leak
10° · 70% leak
20° · 66% leak
30° · 66% 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.
Scintillation 74 against 80 for the T73 Round Brilliant in topaz: 6 points lower
Scintillation follows the number of facets the stone shows: 100 × (1 − e^(−facets / 45)). The Radiant Cut has 74 facets and the T73 73, so 74 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.
What helps:the DG-Miliano reads 98 for scintillation in topaz, the best of the cuts we score there.
Pick the Radiant Cut in topaz for this: it shows more fire than the T73 and faces up larger for its weight. The catch: it 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-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 Radiant Cut model we traced.
Radiant Cut Topaz: questions
Is the Radiant a good cut for topaz?
In our census the Radiant Cut returns 23 of 100 for brilliance and 58 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 3 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.
How much does a Radiant weigh in topaz?
At 6.5 mm across, 1.57 ct in topaz, against 1.56 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 Radiant 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 Radiant Cut files
6 formatsMillimetersWatertight
Radiant Cut 3D files
The Radiant Cut as exact geometry: 74 planar facets, real-world scale, ready for CAD,
rendering, printing and casting.
The faceting design for the Radiant Cut is in preparation. It will include the GemCad file, the tier table and a printable diagram.
Checkout opens soonComing soon
Save with a bundle: the Radiant 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.
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).
