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LED CCT & Chromaticity Calculator

This LED color-science calculator converts CIE 1931 xy, CIE 1960 uv, and CIE 1976 u′v′ coordinates, estimates correlated color temperature and Duv, and compares white LED chromaticity points.

Use it for engineering estimation, LED bin review, optical system discussion, and early lighting design checks. Accurate LED characterization still requires measured spectral power distribution or calibrated chromaticity data.

Engineering tool

LED CCT & Chromaticity Calculator

Convert CIE xy, CIE 1960 uv, CIE 1976 u′v′, estimate CCT and Duv, and compare LED white points.

CIE 1931 x coordinate.

CIE 1931 y coordinate.

Estimated CCT

6,505 K

Result console

Estimated CCT
6,505K
White classification
Cool Daylight
x
0.31270
y
0.32900
CIE 1960 u
0.19783
CIE 1960 v
0.31221
CIE 1976 u′
0.19783
CIE 1976 v′
0.46832
Estimated Duv
-0.003173
Approximation
Engineering estimate

Approximate color preview

This preview is an approximate screen representation. Actual LED appearance depends on spectrum, luminance, observer adaptation, display calibration and ambient conditions.

Planckian Locus Preview

Lightweight xy plot for orientation only. It is not a calibrated color measurement display.

x chromaticityyPoint

Method Notes

  • McCamy's CCT formula is approximate and most useful near the Planckian locus.

Color preview is an approximate screen representation, not a calibrated LED measurement.

Formula reference

LED CCT and Chromaticity Formulas

Coordinate conversions are exact for valid domains. CCT, blackbody xy, color preview, and Duv are engineering approximations.

n = (x - 0.3320) / (0.1858 - y)CCT = 449n³ + 3525n² + 6823.3n + 5520.33u = 4x / (-2x + 12y + 3)v = 6y / (-2x + 12y + 3)u′ = 4x / (-2x + 12y + 3)v′ = 9y / (-2x + 12y + 3)Δu′v′ = sqrt((u′A - u′B)² + (v′A - v′B)²)

Variable definitions

x, y
CIE 1931 chromaticity coordinates
u, v
CIE 1960 UCS coordinates
u′, v′
CIE 1976 chromaticity coordinates
CCT
correlated color temperature in kelvin
Duv
signed distance from the Planckian locus in CIE 1960 uv space
Δu′v′
coordinate-space distance between two CIE 1976 chromaticity points

How to Use This Calculator

  1. Select a conversion or comparison mode.
  2. Enter measured or datasheet chromaticity values, or enter CCT for a blackbody estimate.
  3. Review warnings when the point is far from typical white-light regions.
  4. Use the visual preview only as a rough screen indication, never as validation data.

Worked Examples

D65 reference white

x = 0.3127 and y = 0.3290 estimate near 6500 K, Daylight, u ≈ 0.1978, v ≈ 0.3122, u′ ≈ 0.1978 and v′ ≈ 0.4683.

Warm white estimate

CCT = 3000 K gives approximate blackbody coordinates x ≈ 0.4366 and y ≈ 0.4042, classified as Warm White.

xy to CIE 1960 uv

D65 xy converts to u ≈ 0.1978 and v ≈ 0.3122 using the exact coordinate transform.

xy to CIE 1976 u′v′

D65 xy converts to u′ ≈ 0.1978 and v′ ≈ 0.4683.

LED comparison

LED A at x = 0.4366, y = 0.4042 is warmer than LED B at x = 0.3127, y = 0.3290. Their CCT difference is substantial.

Engineering Notes

  • CCT describes the temperature of the nearest blackbody-like white point.
  • CCT does not uniquely describe LED color; two LEDs can share CCT but differ in Duv.
  • Duv represents offset from the Planckian locus in a chromaticity space.
  • CIE xy, uv, and u′v′ are different coordinate systems.
  • CIE 1976 u′v′ is more perceptually uniform than xy, but it is not a complete color model.
  • LED color depends on spectrum, phosphor composition, current, temperature, and binning.
  • CRI, TM-30, spectral power distribution, and luminous flux cannot be derived from xy and CCT alone.

Common Mistakes

  • Treating CCT as a complete description of color.
  • Ignoring Duv when comparing LED bins.
  • Assuming all 3000 K LEDs look identical.
  • Confusing CIE 1960 uv with CIE 1976 u′v′.
  • Using CCT formulas for saturated non-white colors.
  • Assuming a screen preview matches the real LED.
  • Assuming CRI can be calculated from CCT alone.
  • Comparing chromaticity without considering luminance or spectrum.

Support reference

FAQ

What is correlated color temperature?

Correlated color temperature, or CCT, describes the nearest blackbody-like white point for a light source and is expressed in kelvin.

What is the difference between CCT and Duv?

CCT describes the warm-to-cool direction of a white point, while Duv estimates offset above or below the Planckian locus.

Can two LEDs have the same CCT but look different?

Yes. Two LEDs can share a similar CCT but have different Duv, spectra, phosphor mixes, CRI, luminance, or binning.

What is the difference between xy, uv and u′v′?

CIE 1931 xy, CIE 1960 uv, and CIE 1976 u′v′ are different chromaticity coordinate systems. The u′v′ system is more perceptually uniform than xy but is not a full color-difference model.

Is McCamy's CCT formula exact?

No. McCamy's formula is an approximation that is most useful near the Planckian locus and should not replace calibrated color measurement.

What does positive Duv mean?

Positive Duv generally indicates a point above the Planckian locus with a greenish tendency, while negative Duv generally indicates a pink or magenta tendency.

Can CRI be calculated from xy coordinates?

No. CRI, TM-30, and spectral quality metrics require spectral power distribution data, not only xy coordinates or CCT.

Why does LED color shift with temperature and current?

LED junction temperature, drive current, phosphor behavior, package optics, and binning can shift chromaticity and luminous output.

Is the on-screen color preview accurate?

No. The preview is a bounded display approximation and depends on monitor calibration, luminance, ambient conditions, and LED spectrum.

Documentation

Design notes, guides, and engineering articles linked to this tool.

Disclaimer

This calculator provides engineering estimates for education and early design review. Accurate LED color characterization requires calibrated chromaticity or spectral power distribution measurements.