Princess Cut Topaz: what our light census measures
Brilliance 58 · Fire 32 · Scintillation 78 · in our census, where the T73 scores 86 · 35 · 80 in topaz
How the Princess Cut handles light in topaz, measured: brilliance 58, fire 32 and 39% leakage, set against the T73 in the same stone and against the same cut in diamond.
Light Return map of the Princess 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.
Princess 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 Princess Cut in topaz live.
The Princess Cut has 85 facets and a total depth of 68.5% of its width; its pavilion mains sit at 41.9°. In topaz, the census returns 58 of 100 for brilliance and 32 for fire, against 86 and 35 for the T73, our benchmark, in the same stone; the same Princess Cut in diamond reads 57 and 83.
Is topaz good in a Princess? Pros and cons, measured
Compared with the T73 Round Brilliant in topaz and with the Princess 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 Princess 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: level on 1, behind on 7.
Global62, the comparison 75, difference −13
Brilliance58, the comparison 86, difference −28
Fire32, the comparison 35, difference −3
Scintillation78, the comparison 80, difference −2
Spread95, the comparison 100, difference −5
Symmetry100, the comparison 100, difference 0
Shape-norm90, the comparison 92, difference −2
Tilt72, the comparison 74, difference −2
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 Princess Cut gains in topaz
Against the T73 in topaz and the same cut in diamond, no figure of the Princess Cut is ahead by the thresholds above. Its figures are in the wheel and the FAQ; Topaz ranks every cut we score in topaz.
What the Princess Cut gives up in topaz
Less fire in topaz than in diamond
Fire 32 against 83 for the Princess Cut in diamond: 51 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 (0.012 in topaz) and counts a ray as fire when the two directions differ by more than 0.6°. The Princess Cut reads 32 against 83 for the same cut in diamond. 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 Princess Cut in topaz under the sunny-day lighting.
What helps:the Oval Cut reads 68 for fire in topaz, the best of the cuts we score there.
Brilliance 58 against 86 for the T73 Round Brilliant in topaz: 28 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 Princess Cut returns 58 of 100 and the T73 86. The Princess Cut's pavilion mains sit at 41.9°, the T73's at 40.8°. The maps below show where each stone's light returns from and where it leaks.
Princess Cut in topaz · Brilliance 58
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 39 against 14 for the T73 Round Brilliant in topaz: 25 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 Princess Cut leaks 39% 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.
Princess Cut in topaz · Leakage 39
0° · 38% leak
10° · 44% leak
20° · 49% leak
30° · 47% 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 72 against 89 for the Princess Cut in diamond: 17 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 Princess Cut keeps 72 against 89 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.
Princess Cut in topaz · Tilt 72
0° · 38% leak
10° · 44% leak
20° · 49% leak
30° · 47% leak
Princess Cut in diamond · Tilt 89
0° · 25% leak
10° · 24% leak
20° · 25% leak
30° · 30% 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.
Against the T73 in topaz and the same cut in diamond, no figure of the Princess Cut is ahead by our thresholds. The catch: it shows less fire than in diamond, returns less light than the T73, leaks more light than the T73 and loses more light when tilted than in diamond.
If that catch matters more to you, the Oval Cut reads 68 for fire 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 Princess Cut model we traced.
Princess Cut Topaz: questions
Is the Princess a good cut for topaz?
In our census the Princess Cut returns 58 of 100 for brilliance and 32 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 0 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 Princess Cut's pavilion mains sit at 41.9°.
How much does a Princess weigh in topaz?
At 6.5 mm across, 1.49 ct in topaz, against 1.48 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 Princess 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 Princess Cut files
6 formatsMillimetersWatertight
Princess Cut 3D files
The Princess Cut as exact geometry: 93 planar facets, real-world scale, ready for CAD,
rendering, printing and casting.
Save with a bundle: the Princess 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 Princess 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).
