Diamond Size Chart: Visual Guide to Carat Weight & MM Dimensions
Author: Alex K., CMO at Labrilliante Updated: 2025-09-18 Reading Time: 8 minutes
Lab-grown diamonds offer precision advantages with CVD and HPHT processes maintaining dimensional tolerances within 0.02mm. Marquise diamonds deliver 15% greater face-up appearance than rounds, while optimal value points occur at weights below popular categories—choose 0.93ct versus 1.00ct for 95% visual impact at 80% cost. Professional measurement requires precision instruments with 0.001-carat accuracy in controlled environments.

Every engagement ring tells a story, but getting the diamond size wrong can turn your perfect moment into buyer's remorse. Understanding diamond size charts becomes crucial when you're investing thousands in a symbol that should take her breath away—not leave you wondering if you chose wisely. This comprehensive guide reveals the exact relationship between carat weight and millimeter dimensions across all diamond shapes, helping you maximize visual impact within your budget. You'll discover which cuts appear largest per carat, how to visualize actual size on different hand proportions, and professional measurement standards that ensure you get exactly what you pay for.
When Bigger Isn't Always Better: The Case Against Size-Focused Diamond Selection
The strongest argument against prioritizing diamond size lies in sacrificing quality for carat weight—a decision that often backfires spectacularly. Industry veterans argue that customers who chase larger stones while compromising on cut grade, clarity, or color end up with dull, lifeless diamonds that appear smaller than premium-cut stones of lesser weight. A poorly cut 1.2-carat diamond can look significantly smaller and less brilliant than an ideal-cut 0.9-carat stone, especially under varied lighting conditions.
This perspective holds particular weight when considering natural diamonds, where larger stones command exponential price premiums that may not justify the visual difference. However, with lab-grown diamonds eliminating the scarcity-based pricing structure, the size-versus-quality debate shifts dramatically. Lab diamonds allow you to achieve both substantial carat weight and exceptional quality within identical budgets, making the traditional compromise unnecessary for most buyers seeking maximum impact.
Master Carat to Millimeter Conversion by Diamond Shape
Converting carat weight to millimeter dimensions depends on each diamond's unique shape properties. A one-carat round brilliant measures exactly 6.5mm diameter, while a one-carat princess cut spans 5.5mm per side.
Weight distribution follows predictable patterns but varies dramatically across shapes. Round brilliants maximize face-up diameter per carat by concentrating visual impact on the table surface. Deeper cuts like Asscher squares allocate significant weight below the girdle, reducing apparent size despite identical weights.
Lab-grown diamonds offer precision advantages here. CVD and HPHT processes maintain dimensional tolerances within 0.02mm, enabling exact millimeter specifications rather than approximations. Natural diamond cutters historically prioritized weight retention from rough crystals, often creating poorly proportioned stones. Modern lab growth eliminates this constraint.
Carat Weight | Round Brilliant (mm) | Princess Cut (mm) | Oval (mm) | Emerald Cut (mm) | Marquise (mm) | Pear Shape (mm) | Asscher Cut (mm) | Cushion Cut (mm) |
---|---|---|---|---|---|---|---|---|
0.25 | 4.1 diameter | 3.5 x 3.5 | 5.0 x 3.5 | 4.5 x 3.2 | 6.0 x 3.0 | 5.0 x 3.3 | 3.6 x 3.6 | 3.8 x 3.8 |
0.30 | 4.3 diameter | 3.8 x 3.8 | 5.3 x 3.7 | 4.8 x 3.4 | 6.5 x 3.2 | 5.4 x 3.6 | 3.9 x 3.9 | 4.1 x 4.1 |
0.40 | 4.7 diameter | 4.2 x 4.2 | 5.8 x 4.1 | 5.3 x 3.8 | 7.2 x 3.6 | 6.0 x 4.0 | 4.3 x 4.3 | 4.5 x 4.5 |
0.50 | 5.1 diameter | 4.5 x 4.5 | 6.2 x 4.4 | 5.7 x 4.1 | 7.8 x 3.9 | 6.5 x 4.3 | 4.6 x 4.6 | 4.8 x 4.8 |
0.70 | 5.6 diameter | 5.0 x 5.0 | 6.9 x 4.9 | 6.3 x 4.6 | 8.8 x 4.4 | 7.4 x 4.9 | 5.2 x 5.2 | 5.4 x 5.4 |
0.75 | 5.8 diameter | 5.2 x 5.2 | 7.1 x 5.0 | 6.5 x 4.7 | 9.1 x 4.5 | 7.7 x 5.1 | 5.4 x 5.4 | 5.6 x 5.6 |
1.00 | 6.5 diameter | 5.5 x 5.5 | 7.7 x 5.7 | 7.0 x 5.2 | 10.0 x 5.0 | 8.5 x 5.7 | 5.8 x 5.8 | 6.0 x 6.0 |
1.25 | 7.0 diameter | 6.0 x 6.0 | 8.3 x 6.2 | 7.6 x 5.6 | 10.8 x 5.4 | 9.2 x 6.2 | 6.3 x 6.3 | 6.5 x 6.5 |
1.50 | 7.4 diameter | 6.3 x 6.3 | 8.8 x 6.6 | 8.0 x 5.9 | 11.5 x 5.7 | 9.8 x 6.6 | 6.7 x 6.7 | 6.9 x 6.9 |
2.00 | 8.1 diameter | 6.9 x 6.9 | 9.7 x 7.3 | 8.8 x 6.5 | 12.7 x 6.3 | 10.8 x 7.3 | 7.4 x 7.4 | 7.6 x 7.6 |
2.50 | 8.7 diameter | 7.4 x 7.4 | 10.5 x 7.8 | 9.5 x 7.0 | 13.7 x 6.8 | 11.6 x 7.8 | 8.0 x 8.0 | 8.2 x 8.2 |
3.00 | 9.2 diameter | 7.8 x 7.8 | 11.1 x 8.3 | 10.1 x 7.4 | 14.5 x 7.2 | 12.3 x 8.3 | 8.5 x 8.5 | 8.7 x 8.7 |

Professional Chart Reading for Round Brilliant Cuts
Round brilliant measurements follow precise mathematical relationships through industry standards. Key benchmarks: 0.25ct equals 4.1mm, 0.50ct measures 5.1mm, 0.75ct spans 5.8mm, 1.00ct reaches 6.5mm, and 2.00ct achieves 8.1mm diameter.
These assume ideal proportions with 54-57% table percentages and 60-62.3% depth. Deviations alter the diameter-to-carat relationship significantly. Temperature variations can affect readings by 0.01mm, requiring climate-controlled environments for certification accuracy.
Fancy Shape Measurement Variations and Ratios
Fancy shapes require length, width, and depth measurements unlike round stones. Oval diamonds at 1.00ct typically measure 7.7mm x 5.7mm with optimal ratios between 1.30-1.50. Marquise cuts span 10.0mm x 5.0mm with 1.75-2.25 ratios.
Princess cuts measure 5.5mm per side for one carat. Emerald cuts span 7.0mm x 5.2mm with 1.30-1.40 ratios. Pear shapes measure 8.5mm x 5.7mm with 1.45-1.75 ratios.
Lab crystal formation allows precise ratio control consistently. Natural cutters must work within existing rough limitations, often compromising ideal proportions for weight retention.
Diamond Shape | Optimal Length/Width Ratio | 1.00ct Dimensions (mm) | Lab-Grown Tolerance | Table % | Depth % | Visual Impact Rating |
---|---|---|---|---|---|---|
Round Brilliant | 1.00 (Perfect Circle) | 6.5 x 6.5 | ±0.02mm | 54-57% | 60-62.3% | Maximum |
Princess | 1.00-1.05 | 5.5 x 5.5 | ±0.02mm | 68-75% | 68-78% | High |
Oval | 1.30-1.50 | 7.7 x 5.7 | ±0.015mm | 56-62% | 58-68% | High |
Marquise | 1.75-2.25 | 10.0 x 5.0 | ±0.02mm | 56-62% | 58-66% | Very High |
Pear | 1.45-1.75 | 8.5 x 5.7 | ±0.015mm | 56-62% | 58-68% | High |
Emerald | 1.30-1.40 | 7.0 x 5.2 | ±0.01mm | 61-69% | 61-67% | Medium-High |
Asscher | 1.00-1.05 | 5.7 x 5.7 | ±0.01mm | 61-69% | 61-67% | Medium |
Radiant | 1.00-1.30 | 6.0 x 5.8 | ±0.02mm | 61-69% | 61-67% | High |
Cushion | 1.00-1.20 | 6.2 x 5.8 | ±0.015mm | 58-68% | 61-68% | High |
Heart | 0.90-1.10 | 6.8 x 6.2 | ±0.02mm | 56-62% | 58-68% | Medium-High |

Compare Diamond Shapes for Maximum Size Appearance
Marquise diamonds deliver the largest face-up appearance per carat weight. Their elongated silhouette creates approximately 15% greater size illusion than round brilliants of identical weight.
Oval cuts rank second, offering roughly 10% more visual impact than rounds while maintaining brilliant-cut fire. Princess cuts achieve excellent size efficiency through square geometry, appearing 10% larger than rounds.
Round brilliants sacrifice size appearance for superior light performance. Their 58-facet architecture delivers unmatched brilliance despite smaller face-up area. This trade-off influences inventory decisions across market segments.
Which Cuts Look Largest Per Carat Weight
Size appearance hierarchy by shape: marquise leads with maximum face-up area, followed by oval, pear, and emerald cuts offering significant premiums over rounds. Princess cuts provide moderate advantages while maintaining contemporary appeal.
Elongated shapes maximize table surface distribution. Marquise diamonds concentrate weight into extended profiles, creating dramatic finger coverage. The pointed ends amplify this effect by extending visual boundaries.
Customer feedback reveals first-time buyers consistently underestimate preferred sizes when viewing loose stones. They select larger weights after seeing mounted examples on hand models.
Elongated vs Round Shape Visual Impact
Elongated shapes create dynamic movement that draws attention along their extended axis. The directional emphasis in oval, marquise, and pear cuts produces finger-lengthening effects while maximizing perceived weight.
Round diamonds offer timeless symmetry without directional bias. Their circular perfection creates balanced harmony rather than dramatic impact, integrating seamlessly with various settings.
Elongated shapes reflect light differently than rounds. Marquise diamonds show bow-tie effects while ovals display varied brilliance patterns along their length.
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

Visualize Actual Diamond Size on Your Hand
True diamond size requires visualization accounting for finger proportions and viewing angles. A one-carat round on size 6 finger covers approximately one-third of finger width, creating substantial presence without overwhelming natural proportions.
Finger size significantly impacts appearance. Size 4 fingers make stones appear larger while size 8+ fingers diminish perceived size. Ring settings profoundly affect perception through prong placement and band width.
Retail partners report most customers revise initial preferences after viewing diamonds on hand models. This visualization proves crucial for setting realistic expectations.
Lighting conditions alter perception through brilliance effects. Natural daylight provides the most accurate assessment, while store spotlights create enhanced sparkle that can mislead evaluation.
Optimize Diamond Size Within Your Budget Range
Lab-grown diamonds enable 60-70% greater carat weight versus natural stones within identical budgets. This advantage allows prioritizing size without compromising cut quality or clarity standards.
Budget allocation requires strategic decisions where size increases deliver maximum emotional impact per dollar. Moving from 0.90 to 1.00 carats costs 15-20% more while providing significant psychological benefits from the "one carat milestone."
Optimal value points occur at weights below popular categories. Choose 0.48ct instead of 0.50ct, or 0.93ct versus 1.00ct for 95% visual impact at 80% cost.
Shape selection dramatically impacts optimization. Elongated cuts deliver superior size appearance per dollar compared to rounds. Quality compromises become acceptable at larger sizes where brilliance naturally increases with weight.
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Measure Diamonds Using Professional Gemologist Standards
Professional measurement requires precision instruments calibrated to 0.001-carat weight accuracy and 0.01-millimeter dimensional precision. Labs employ analytical balances in vibration-isolated environments with 0.5°C temperature stability.
The process begins with ultrasonic cleaning followed by electronic calibration using certified reference standards. Professional micrometers capture dimensions while accounting for girdle thickness variations.
Our protocols follow GIA, IGI, and GCAL standards with quarterly verification using master reference stones. Environmental factors including humidity and static electricity require controlled conditions for accuracy.
Quality control mandates multiple measurement repetitions with statistical analysis. Certification requires agreement within 0.02mm across multiple instruments and operators for reliable specifications.
Frequently Asked Questions
Size 4-6 fingers appear proportional with 0.75-1.25 carat diamonds, while size 7+ fingers can accommodate 1.5+ carats without appearing overwhelming. Elongated shapes like oval or marquise create finger-lengthening effects and appear larger than rounds of identical weight.
A 1 carat round measures 6.5mm versus 5.8mm for 0.75 carat - only 0.7mm difference in diameter but approximately 20% more face-up area. The visual difference becomes more dramatic when mounted, as the psychological impact of reaching the "one carat milestone" amplifies perceived size.
Marquise diamonds appear approximately 15% larger than round brilliants of identical weight due to their elongated profile maximizing face-up area. Oval cuts rank second with roughly 10% more visual impact, while princess cuts offer moderate size advantages through square geometry.
CVD and HPHT processes maintain dimensional tolerances within 0.02mm, enabling exact millimeter specifications rather than approximations. Natural diamond cutters historically prioritized weight retention from rough crystals, often creating poorly proportioned stones, while lab growth eliminates this constraint.
The bow-tie effect occurs when light leakage creates dark areas across the center of elongated shapes like marquise, oval, and pear cuts. This happens due to the directional light reflection patterns inherent in elongated brilliant cuts, though proper proportions can minimize this optical phenomenon.
Temperature variations can affect readings by 0.01mm, requiring climate-controlled environments with 0.5°C stability for accurate certification. Professional labs also control humidity and static electricity, using vibration-isolated equipment and multiple measurement repetitions for reliability.
Select weights just below popular categories like choosing 0.48ct instead of 0.50ct, or 0.93ct versus 1.00ct for 95% visual impact at 80% cost. This strategy avoids premium pricing at psychological weight thresholds while maintaining nearly identical appearance.
Request hand model photos showing your preferred carat weight and shape on similar finger sizes to yours, viewed under natural daylight conditions. Avoid relying solely on store spotlights which create enhanced sparkle that can mislead size evaluation compared to real-world viewing conditions.