Transmittance
\[T=\frac{I}{I_0}\]

Variables

Ttransmittance
Itransmitted light intensity
I0incident light intensity

Description

What is this formula?


Transmittance is the fraction of incident light that passes through a sample. It is one of the fundamental quantities measured in spectrophotometry and serves as the basis for calculating absorbance.


When to use it


Use this formula when analyzing how much light is transmitted through a solution, optical filter, biological sample, or transparent material.


Example


A spectrophotometer measures:


Incident intensity:


I0 = 100 units


Transmitted intensity:


I = 25 units


Formula:


T = I/I0


Substitution:


T = 25/100


Result:


T = 0.25


The sample transmits 25% of the incident light.


Applications


- UV-Visible spectrophotometry

- Optical filter characterization

- Water quality analysis

- Pharmaceutical testing

- Biochemical measurements

- Material transparency studies


Note


Transmittance is a dimensionless ratio ranging from 0 to 1. It is directly related to absorbance through the logarithmic relationship A = -log(T). Highly absorbing samples produce low transmittance values.

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