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Chemistry & Materials Science

Transmittance to Absorbance Calculator

Instantly convert between percent transmittance (%T) and optical absorbance (A) for precise laboratory spectroscopy analysis.

Absorbance (A)
0.3010
Percent Transmittance (%T)50.00%
Fractional Transmittance (T)0.5000

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The Language of Spectroscopy

When a spectrophotometer shoots a beam of light through a chemical sample, the raw data it collects is Transmittance—the physical percentage of light photons that successfully survived the journey through the liquid and hit the detector on the other side.

However, Transmittance is an exponential curve. If you double the concentration of your liquid, the transmittance does not neatly drop by half.

Why We Use Absorbance

Because humans and basic statistics prefer straight lines, chemists mathematically transform the exponential Transmittance data into a logarithmic scale called Absorbance.

Absorbance is perfectly linear. If you double the concentration of the liquid, the Absorbance exactly doubles. This linear relationship is what makes the Beer-Lambert Law work.

The Conversion Formula

A=log10(T)=2log10(%T)\begin{aligned} A = -\log_{10}(T) = 2 - \log_{10}(\%T) \end{aligned}

Where:
A=
Absorbance
T=
Fractional Transmittance
%T\%T=
Percent Transmittance

To perform this conversion, you must first convert the Percentage Transmittance (e.g., 50%) into a fractional decimal (e.g., 0.50), and then take the negative base-10 logarithm.

Frequently Asked Questions

An Absorbance of 0 means 100% of the light transmitted through the sample. The liquid is perfectly clear and absorbed absolutely nothing.

It's an algebraic shortcut. Because 100% transmittance equals a fraction of 1.0, and log10(100)=2log_{10}(100) = 2, subtracting the log of the percentage from 2 gives you the exact same result as taking the negative log of the decimal.

No. The physical hardware (the photodiode) can only count photons, meaning it can only physically measure transmittance. The machine's internal computer instantly runs this exact logarithmic equation to display the Absorbance to you on the screen.