Eye-Clean Threshold Size

Compare already apparent inclusion width to caller visual angular-resolution model; real contrast, lighting, depth/refraction and observer acuity remain unmodeled, so this is not an eye-clean certification.

Description

Apparent inclusion width subtends an angle at the observer.

Apparent inclusion width subtends an angle at the observer. A declared angular-resolution threshold is a simplified geometric visibility proxy.1

Compare already apparent inclusion width to caller visual angular-resolution model; real contrast, lighting, depth/refraction and observer acuity remain unmodeled, so this is not an eye-clean certification.

When to use Eye-Clean Threshold Size

Use this tool to compare already apparent inclusion width to caller visual angular-resolution model; real contrast, lighting, depth/refraction and observer acuity remain unmodeled, so this is not an eye-clean certification.

Prepare the gemstone measurements, spectra or comparison data and any supplied calibration parameters. Check units, reference conditions and record alignment.

How to use Eye-Clean Threshold Size and understand its results

  1. Prepare the gemstone measurements, spectra or comparison data and any supplied calibration parameters. Check units, reference conditions and record alignment.
  2. Enter apparentInclusionWidthMm, viewingDistanceMm, callerAngularResolutionArcminutes using the field table and calculation rules, then run the tool.
  3. Read apparentInclusionAngularWidthArcminutes, callerResolutionWidthThresholdMm, aboveCallerAngularResolution. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
apparentInclusionWidthMmApparent inclusion width mmnumberRequired
viewingDistanceMmViewing distance mmnumberRequired
callerAngularResolutionArcminutesCaller angular resolution arcminutesnumberRequired

Use positive viewing distance in mm, nonnegative apparent width and angular resolution in (0,10,800) arcminutes. Convert angular width to arcminutes and return the equivalent width threshold and a strict above-resolution flag.

angular width=2atan(width/(2distance)); threshold width=2distance tan(resolution angle/2)

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
apparentInclusionAngularWidthArcminutesApparent inclusion angular width arcminutesnumber
callerResolutionWidthThresholdMmCaller resolution width threshold mmnumber
aboveCallerAngularResolutionAbove caller angular resolutionboolean
json
{
  "input": {
    "apparentInclusionWidthMm": 0.1,
    "viewingDistanceMm": 300,
    "callerAngularResolutionArcminutes": 1
  },
  "output": {
    "apparentInclusionAngularWidthArcminutes": 1.1459155796513172,
    "callerResolutionWidthThresholdMm": 0.08726646321506103,
    "aboveCallerAngularResolution": true
  }
}

Limitations and assumptions

Contrast, lighting, refraction, depth and individual acuity are omitted. The flag is not eye-clean certification.

Numeric inputs and returned numeric values must be finite; an unrepresentable returned value produces an error. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use Facet Polish Line Visibility Rater: Audit measured polish-line contrast and instrument-resolvable width simultaneously under caller thresholds; not spatial RMS contrast or universal observer/commercial polish grade. For a complementary task, use Clarity Inclusion Position Map Code: Encode measured inclusion locations into caller radial/depth zones under explicit centered circular envelope; no clarity grade, inclusion composition or visibility/structural-safety conclusion.

References

  1. Eye-Clean Threshold Size — tool.io

Similar or alternative tools

  • Facet Polish Line Visibility Rater

    Audit measured polish-line contrast and instrument-resolvable width simultaneously under caller thresholds; not spatial RMS contrast or universal observer/commercial polish grade.

  • Clarity Inclusion Position Map Code

    Encode measured inclusion locations into caller radial/depth zones under explicit centered circular envelope; no clarity grade, inclusion composition or visibility/structural-safety conclusion.

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