Calculator Inputs
Enter initial and final color measurements, absorbance data, and optional chemistry parameters.
Example Data Table
This example represents an indicator transition measured by spectrophotometry and Lab color coordinates.
| Sample | Initial Lab | Final Lab | Initial A | Final A | ε | b | pH → pH | λmax Shift | ΔE*76 |
|---|---|---|---|---|---|---|---|---|---|
| Phenolphthalein Trial | 72, -18, 34 | 55, 22, 48 | 0.18 | 0.63 | 12,500 | 1.0 cm | 3.2 → 8.1 | 430 → 515 nm | 45.66 |
Formula Used
1) Beer-Lambert Law
A = εbc
Rearranged concentration formula: c = A / (εb)
2) Transmittance
T% = 10-A × 100
This converts absorbance into percent transmitted light.
3) CIELAB Color Difference
ΔE*76 = √[(ΔL*)² + (Δa*)² + (Δb*)²]
This estimates overall visible color difference.
4) Chroma and Hue
C* = √[(a*)² + (b*)²]
h° = atan2(b*, a*) converted into degrees
5) Indicator Colored Fraction
Colored Fraction % = 100 / [1 + 10^(pKa - pH)]
Useful for acid-base indicators and pH driven color shifts.
6) Wavelength Shift
Δλ = λfinal - λinitial
This highlights bathochromic or hypsochromic movement.
How to Use This Calculator
- Enter the sample name and optional experiment notes.
- Provide initial and final L*, a*, and b* color coordinates.
- Enter initial and final absorbance values from your instrument.
- Add molar absorptivity and path length to estimate concentrations automatically.
- Optionally include pH, pKa, and λmax values for deeper chemistry interpretation.
- Press Calculate Color Change to show the result above the form.
- Use the export buttons to save your result as CSV or PDF.
FAQs
1) What does this calculator measure?
It measures color change using Lab coordinates, absorbance, transmittance, estimated concentration, indicator fraction, and optional wavelength shift in one report.
2) Why use Lab values instead of RGB?
Lab space is designed for more uniform visual comparison. It is widely used when you need a numerical estimate of perceived color differences.
3) When is Beer-Lambert concentration valid?
It is most reliable for dilute systems with linear absorbance behavior, correct wavelength selection, stable path length, and minimal scattering or chemical side reactions.
4) What does a high ΔE value mean?
A high ΔE means the final sample looks substantially different from the initial sample. Larger values usually indicate a clearly visible transformation.
5) Can I use direct concentrations instead of estimated ones?
Yes. If you enter concentration values, the calculator uses them for percentage change. Otherwise, it estimates concentration from absorbance, ε, and path length.
6) Why include pH and pKa?
They help estimate the fraction of the colored indicator form. This is useful in titrations, buffer studies, and pH-sensitive reaction monitoring.
7) What does λmax shift tell me?
It shows whether the dominant absorption peak moved to a longer or shorter wavelength, which can suggest structural, solvent, or equilibrium changes.
8) Can this calculator replace laboratory analysis?
No. It is a decision-support tool. Final conclusions should still rely on calibrated instruments, correct sampling, and validated laboratory procedures.