Radiant Cut Carat Weight Estimator
Radiant-cut mass from actually measured cross-section profile integration, not identical clipped-outline emerald proxy or undocumentedshape factor. Caller independently establishes geometry, assay, calibration and protocol; not material identity, laboratory grade, treatment or care safety.
Description
A depth profile of measured cross-sectional areas can estimate a radiant stone's volume by integration.
A depth profile of measured cross-sectional areas can estimate a radiant stone's volume by integration.1
Density then converts volume to mass without assuming that every radiant has one fixed outline or fill factor. Use this tool to calculate radiant cut carat weight estimator from the supplied measurements and assumptions.
When to use Radiant Cut Carat Weight Estimator
Use this tool to calculate radiant cut carat weight estimator from the supplied measurements and assumptions. Establish the specimen, measurement protocol, units, geometry and any caller calibration or review limits.
How to use Radiant Cut Carat Weight Estimator and understand its results
- Establish the specimen, measurement protocol, units, geometry and any caller calibration or review limits.
- Enter observedRadiantDepthStationsMm, observedRadiantSectionAreasMM2, independentlyMeasuredDensityGCM3, using the field meanings and rules below, then run the tool.
- Read observedIntegratedRadiantVolumeMM3, conditionalMassCarats. Interpret the fields using their units, signs and evidence conventions below.
- If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedRadiantDepthStationsMm | Observed radiant depth stations mm | list of number | Required |
| observedRadiantSectionAreasMM2 | Observed radiant section areas m m2 | list of number | Required |
| independentlyMeasuredDensityGCM3 | Independently measured density g c m3; caller assertion or measurement requiring independent evidence | number | Required |
Enter at least two strictly increasing finite depth stations in millimeters and aligned nonnegative section areas in mm², plus positive density in g/cm³. Integrate area by the trapezoidal rule over the submitted depth interval and convert mm³ to carats by multiplying by density/200. Stations need not start at zero or be nonnegative; only their ordered differences set the interval. No universal radiant fill factor or unseen volume is added.
volumeMm³=Σ(depth_(i+1)−depth_i)(area_i+area_(i+1))/2; carats=volumeMm³×density/200 Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| observedIntegratedRadiantVolumeMM3 | Observed Integrated Radiant Volume MM3; follow the units, sign, ordering and evidence convention stated above | number |
| conditionalMassCarats | Conditional mass from modeled volume and supplied density; 1 carat=0.2 g | number |
{
"input": {
"observedRadiantDepthStationsMm": [
0,
2,
4
],
"observedRadiantSectionAreasMM2": [
0,
40,
0
],
"independentlyMeasuredDensityGCM3": 4
},
"output": {
"observedIntegratedRadiantVolumeMM3": 80,
"conditionalMassCarats": 1.6
}
}Limitations and assumptions
Density then converts volume to mass without assuming that every radiant has one fixed outline or fill factor. Interpretation depends on the units, sampling scope and exact model described above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.
Alternative or Complementary methods
Use Trillion Cut Carat Weight Estimator for this related task: A trillion-cut weight model combines a triangular plan area, depth and an independently chosen fill factor.
Use Round Brilliant Carat Weight Estimator when its separate inputs and assumptions fit the question: A round-cut weight model starts with a circular diameter envelope and depth.
References
-
Radiant Cut Carat Weight Estimator — tool.io
Similar or alternative tools
- Trillion Cut Carat Weight Estimator
A trillion-cut weight model combines a triangular plan area, depth and an independently chosen fill factor.
- Round Brilliant Carat Weight Estimator
A round-cut weight model starts with a circular diameter envelope and depth.