What Is the Relationship Between Absorbance and Transmittance?

Light, an electromagnetic wave, interacts with materials by being reflected, scattered, or passing through. Understanding these interactions is fundamental across various scientific disciplines, providing insights into material composition, concentration, and physical properties. Measuring how much light passes through or is absorbed by a substance allows scientists to analyze samples, revealing crucial information.

Understanding Transmittance

Transmittance refers to the fraction of incident light that passes through a sample. It quantifies how much light “gets through” a substance after some light has been absorbed or scattered. This measurement is often expressed as a value between 0 and 1, or as a percentage from 0% to 100%. A spectrophotometer measures transmittance by comparing the intensity of light entering a sample to the intensity of light exiting it.

High transmittance means most light passes through. Conversely, a low transmittance value indicates only a small fraction made it through. For instance, clear water has high transmittance, allowing almost all light to pass, while a dark, opaque liquid exhibits very low transmittance.

Understanding Absorbance

Absorbance, in contrast, measures the amount of light a sample “stops” or “takes up” as light passes through it, preventing transmission. Unlike transmittance, absorbance is a logarithmic value, typically ranging from 0 upwards. A higher absorbance value signifies more light has been absorbed by the sample.

The amount of light absorbed is directly influenced by the concentration of the absorbing substance and the distance the light travels through it, known as the path length. For example, a more concentrated solution of a colored dye absorbs more light than a dilute solution. Increasing the thickness of a sample also leads to increased light absorption.

The Interconnected Relationship

Absorbance and transmittance are fundamentally linked, exhibiting an inverse and logarithmic relationship. As the amount of light absorbed by a sample increases, the amount of light transmitted through it decreases, and vice versa. This inverse relationship is not linear; instead, it is logarithmic, meaning a linear change in light intensity results in an exponential change in absorbance.

The mathematical formula connecting these two concepts is A = -log10(T), where ‘A’ represents absorbance and ‘T’ represents transmittance. For instance, if 10% of light is transmitted (T = 0.1), the absorbance is 1. If only 1% of light is transmitted (T = 0.01), the absorbance is 2, demonstrating the logarithmic scale.

This logarithmic nature is crucial because it allows absorbance to be directly proportional to the concentration of the absorbing substance and the path length of light through the sample, a principle known as the Beer-Lambert Law. This law forms the basis for quantitative analysis, enabling scientists to determine the concentration of an unknown substance by measuring its absorbance.

Practical Applications

Understanding the relationship between absorbance and transmittance is fundamental for numerous practical applications. One widespread application is in chemical analysis, where spectrophotometry determines the concentration of substances in solutions. For example, these measurements quantify pollutants in water quality testing and analyze blood samples for specific compounds like bilirubin in medical diagnostics.

In biological research, the concepts monitor bacterial growth or analyze proteins and nucleic acids. As bacteria multiply in a liquid medium, the solution becomes cloudier, increasing absorbance and decreasing transmittance, which can be tracked over time. Industries like food and beverage utilize these measurements for quality control. Absorbance spectroscopy is also employed in environmental science to monitor air and soil samples for contaminants.