DG-Broken Hearts and Arrows Synthetic rutile: more fire in synthetic rutile than in diamond
Brilliance 82 · Fire 95 · Scintillation 86 · in our census, where the T73 scores 81 · 94 · 80 in synthetic rutile
How the DG-Broken Hearts and Arrows handles light in synthetic rutile, measured: brilliance 82, fire 95 and 9% leakage, set against the T73 in the same stone and against the same cut in diamond.
Light Return map of the DG-Broken Hearts and Arrows in synthetic rutile, face-up, from our own tracer at refractive index 2.616. Red, green and blue return light to the eye; gray leaks.
DG-Broken Hearts and Arrows Synthetic rutile
Synthetic rutile has a refractive index of 2.616 to 2.903 and a dispersion of 0.330. Its critical angle, from the low end of that range, is 22.5°, so a round design needs a pavilion of at least 39.4° for head-on light to reflect off both sides of the pavilion and leave through the table. We trace it with one index, 2.760, the midpoint of the published range, and a fire spread of 0.284, 0.86 of the published dispersion. Every picture here is our Light Return tracer at 2.616, and every figure is from the same light census that scores the other gemstones; the 3D Gemstone Simulator shows the DG-Broken Hearts and Arrows in synthetic rutile live. Synthetic rutile is strongly doubly refractive (birefringence 0.287): its two rays have critical angles of 22.5° and 20.1°. Our census traces one index, so every figure for it is a rough approximation.
The DG-Broken Hearts and Arrows has 89 facets, a table of 53.0% of its width and a total depth of 61.7% of its width; its pavilion mains sit at 40.8°. In synthetic rutile, the census returns 82 of 100 for brilliance and 95 for fire, against 81 and 94 for the T73, our benchmark, in the same stone; the same DG-Broken Hearts and Arrows in diamond reads 93 and 78.
Is synthetic rutile good in a DG-Broken Hearts and Arrows? Pros and cons, measured
Compared with the T73 Round Brilliant in synthetic rutile and with the DG-Broken Hearts and Arrows 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-Broken Hearts and Arrows in synthetic rutile (white) against the T73 Round Brilliant in synthetic rutile (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 synthetic rutile: ahead on 5, level on 2, behind on 1.
Global90, the comparison 88, difference +2
Brilliance82, the comparison 81, difference +1
Fire95, the comparison 94, difference +1
Scintillation86, the comparison 80, difference +6
Spread100, the comparison 100, difference 0
Symmetry99, the comparison 100, difference −1
Shape-norm89, the comparison 87, difference +2
Tilt94, the comparison 94, difference 0
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-Broken Hearts and Arrows gains in synthetic rutile
More fire in synthetic rutile than in diamond
Fire 95 against 78 for the DG-Broken Hearts and Arrows in diamond: 17 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 (0.284 in synthetic rutile) and counts a ray as fire when the two directions differ by more than 0.6°. The DG-Broken Hearts and Arrows reads 95 against 78 for the same cut in diamond. The figure is the census's; the 3D Gemstone Simulator renders synthetic rutile'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-Broken Hearts and Arrows in synthetic rutile under the sunny-day lighting.
Scintillation 86 against 80 for the T73 Round Brilliant in synthetic rutile: 6 points higher
Scintillation follows the number of facets the stone shows: 100 × (1 − e^(−facets / 45)). The DG-Broken Hearts and Arrows has 89 facets and the T73 73, so 86 against 80. It depends on the geometry alone, so it is the same in every stone.
DG-Broken Hearts and Arrows · 89 facets · Scintillation 86
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 the DG-Broken Hearts and Arrows gives up in synthetic rutile
Heavier than the same cut in diamond
1.22 ct at 6.5 mm, against 1.01 ct for the same cut in diamond (+21%)
Weight follows specific gravity: 4.26 for synthetic rutile against 3.52 for diamond, so the same model at the same size weighs 1.22 ct here and 1.01 ct in diamond, 6.5 mm across. Nothing about the light changes with it.
A DG-Broken Hearts and Arrows 6.5 mm across, weighed from the model's measured volume and each stone's specific gravity.
Brilliance 82 against 93 for the DG-Broken Hearts and Arrows in diamond: 11 points lower
The same cut in diamond returns 93. Synthetic rutile bends light less than diamond: its critical angle is 22.5°, diamond's 24.4°, so a pavilion facet has to be steeper before light reflects off it rather than passing out. The DG-Broken Hearts and Arrows's pavilion returns less of synthetic rutile's light than of diamond's, as the two maps show.
DG-Broken Hearts and Arrows in synthetic rutile · Brilliance 82
DG-Broken Hearts and Arrows in diamond · Brilliance 93
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 synthetic rutile, the best of the cuts we score there.
Leakage 9 against 2 for the DG-Broken Hearts and Arrows in diamond: 7 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-Broken Hearts and Arrows leaks 9% in synthetic rutile against 2% for the same cut in diamond. Grey in the maps below is leaking light; the share under each picture is that picture's own.
DG-Broken Hearts and Arrows in synthetic rutile · Leakage 9
0° · 9% leak
10° · 5% leak
20° · 10% leak
30° · 15% leak
DG-Broken Hearts and Arrows in diamond · Leakage 2
0° · 3% leak
10° · 2% leak
20° · 9% leak
30° · 14% 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 2% for leakage in synthetic rutile, the best of the cuts we score there.
Our verdict on the DG-Broken Hearts and Arrows in synthetic rutile
Pick the DG-Broken Hearts and Arrows in synthetic rutile for this: it shows more fire than in diamond and has more facets to sparkle with. The catch: it weighs more than in diamond, returns less light than in diamond and leaks more than in diamond.
If that catch matters more to you, the DG-M5 reads 97 for brilliance in synthetic rutile, 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-Broken Hearts and Arrows model we traced.
DG-Broken Hearts and Arrows Synthetic rutile: questions
Is the DG-Broken Hearts and Arrows a good cut for synthetic rutile?
In our census the DG-Broken Hearts and Arrows returns 82 of 100 for brilliance and 95 for fire in synthetic rutile, against 81 and 94 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 synthetic rutile need?
At least 39.4° for a round design: synthetic rutile's critical angle is 22.5°, 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-Broken Hearts and Arrows's pavilion mains sit at 40.8°.
How much does a DG-Broken Hearts and Arrows weigh in synthetic rutile?
At 6.5 mm across, 1.22 ct in synthetic rutile, against 1.01 ct for the same cut in diamond (+21%): synthetic rutile's specific gravity is 4.26, diamond's 3.52.
Can I see the DG-Broken Hearts and Arrows in synthetic rutile in 3D?
Yes: the 3D Gemstone Simulator renders it live, with synthetic rutile's own refractive index and dispersion. Synthetic rutile 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-Broken Hearts and Arrows Cut files
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DG-Broken Hearts and Arrows Cut 3D files
The DG-Broken Hearts and Arrows Cut as exact geometry: 89 planar facets, real-world scale, ready for CAD,
rendering, printing and casting.
