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Beer-Lambert law calculator

Solve absorbance, concentration, optical path length or molar absorption coefficient, and convert absorbance to transmittance.

Calculator

Absorbance
1.000000
Transmittance
10.0000%
Concentration
0.01
Path length
0.01
Molar absorption coefficient (L mol^-1 cm^-1)
100.000000

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How this calculator works

Use decadic absorbance and a molar absorption coefficient in L mol^-1 cm^-1. The calculator converts concentration to mol/L and path length to centimetres before multiplying. The law assumes a homogeneous sample, narrow spectral bandwidth and negligible scattering. Concentrated samples, chemical equilibria and stray light can cause deviations.

Formula

A = epsilon c l; A = -log10(T), with T = transmitted/incident radiant power.

Worked example

epsilon = 100 L mol^-1 cm^-1, c = 0.01 mol/L and l = 1 cm give A = 1 and T = 10%. A = 2 gives T = 1%.

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Frequently asked questions

Is absorbance a percentage?

No. Absorbance is a logarithmic ratio. Transmittance can be displayed as a percentage.

Which coefficient convention is used?

The decadic molar coefficient. A coefficient based on natural logarithms differs by ln(10).

Can a blank produce zero absorbance?

Yes. A zero measured absorbance gives full transmittance and a zero inferred concentration in this ideal model.

Sources

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