# Absorbance↔Transmittance Converter (A = −log₁₀T)

Convert A ↔ %T ↔ T with A = −log₁₀(T) and %T = 100·T; returns all three representations for spectrophotometry work.

> Canonical page: https://elysiatools.com/en/tools/absorbance-transmittance-converter

- **Category:** Education

- **Keywords:** absorbance, transmittance, optical density, spectrophotometry, beer lambert law, absorbance calculator, percent transmittance, od600, uv vis, spectroscopy converter

## Overview

The Absorbance↔Transmittance Converter quickly switches between absorbance (A), percent transmittance (%T), and fractional transmittance (T) using the standard relation A = −log₁₀(T). Designed for spectrophotometry and optical density workflows, it outputs all three corresponding values simultaneously with customizable decimal precision.

## Inputs

- **Value** (number): Value of the selected input quantity.
- **Input Quantity** (select): Whether the entered value is absorbance (A), percent transmittance (%T), or the 0–1 transmittance fraction (T).
- **Decimal Places** (number)

## When to use

- Converting instrument readings from percent transmittance (%T) into absorbance (A) for Beer-Lambert law calculations.
- Evaluating how much light actually reaches the detector from measured optical density or absorbance values.
- Checking neutral-density filters or spectrophotometer baseline calibration standards.

## How it works

- Enter the numerical measurement into the Value field.
- Select the input format: Absorbance (A), Transmittance (%T), or Transmittance (T, 0–1).
- Specify the desired rounding precision using the Decimal Places option.
- Receive a JSON result displaying the synchronized absorbance, fractional transmittance, and percent transmittance values.

## Use cases

- Microbiology cell density measurements (OD600 to transmitted light ratio).
- Analytical chemistry quantitative analysis using UV-Vis spectrophotometers.
- Optical filter transmission verification and attenuation factor analysis.

## Frequently asked questions

### What mathematical formula is used for conversion?

The tool uses A = −log₁₀(T), T = 10⁻ᴬ, and %T = 100 · T (or A = 2 − log₁₀(%T)).

### What does an absorbance value of 1.0 mean in terms of light transmission?

An absorbance (A) of 1.0 corresponds to a transmittance fraction of 0.1, meaning exactly 10% of incident light passes through.

### Why does transmittance only accept values between 0 and 100%?

In standard absorption spectroscopy, transmitted light cannot exceed incident light (100% or T = 1.0), and negative transmittance is physically impossible.

### Can I convert decimal fractional transmittance directly?

Yes, choose 'Transmittance (T, 0–1)' as your input quantity to enter fractions such as 0.5 directly.

### How many decimal places can I configure?

You can set the output precision anywhere from 0 up to 8 decimal places.

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