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Absorption Coefficient Formula

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Absorption Coefficient determines how far into a material, light of a particular wavelength can penetrate before it is absorbed. Check FAQs

α = (- \frac{1}{b}) \cdot \ln (\frac{P abs}{P i})

α - Absorption Coefficient?b - Sample Thickness?P_abs - Absorbed Power?P_i - Incident Power?

Absorption Coefficient Example

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With units

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Here is how the Absorption Coefficient equation looks like with Values.

Here is how the Absorption Coefficient equation looks like with Units.

Here is how the Absorption Coefficient equation looks like.

15068.417 = (- \frac{1}{0.46}) \cdot \ln (\frac{0.11}{0.22})

15068.417cm⁻¹ = (- \frac{1}{0.46μm}) \cdot \ln (\frac{0.11W}{0.22W})

15068.417 = (- \frac{1}{0.46}) \cdot \ln (\frac{0.11}{0.22})

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Absorption Coefficient Solution

Follow our step by step solution on how to calculate Absorption Coefficient?

FIRST Step Consider the formula

α = (- \frac{1}{b}) \cdot \ln (\frac{P abs}{P i})

Next Step Substitute values of Variables

∴

α = (- \frac{1}{0.46μm}) \cdot \ln (\frac{0.11W}{0.22W})

Next Step Convert Units

∴

α = (- \frac{1}{4.6E-7m}) \cdot \ln (\frac{0.11W}{0.22W})

Next Step Prepare to Evaluate

∴

α = (- \frac{1}{4.6E-7}) \cdot \ln (\frac{0.11}{0.22})

Next Step Evaluate

∴

α = 1506841.69686945m⁻¹

Next Step Convert to Output's Unit

∴

α = 15068.4169686945cm⁻¹

LAST Step Rounding Answer

∴

α = 15068.417cm⁻¹

Absorption Coefficient Formula Elements

Variables

Functions

Absorption Coefficient

Absorption Coefficient determines how far into a material, light of a particular wavelength can penetrate before it is absorbed.

Symbol: α

Measurement: Reciprocal LengthUnit: cm⁻¹

Note: Value should be greater than 0.

Formulas to find Absorption Coefficient

Sample Thickness

Sample Thickness is defined as the total distance between the two planes of the sample taken.

Symbol: b

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Sample Thickness

Absorbed Power

Absorbed Power is defined as the power consumed by a solid state device while operating.

Symbol: P_abs

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Absorbed Power

Incident Power

Incident Power is the intensity of the incident light ray striking the surface.

Symbol: P_i

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Incident Power

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

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How to Evaluate Absorption Coefficient?

Absorption Coefficient evaluator uses Absorption Coefficient = (-1/Sample Thickness)*ln(Absorbed Power/Incident Power) to evaluate the Absorption Coefficient, Absorption Coefficient determines how far into a material, light of a particular wavelength can penetrate before it is absorbed. Absorption Coefficient is denoted by α symbol.

How to evaluate Absorption Coefficient using this online evaluator? To use this online evaluator for Absorption Coefficient, enter Sample Thickness (b), Absorbed Power (P_abs) & Incident Power (P_i) and hit the calculate button.

FAQs on Absorption Coefficient

What is the formula to find Absorption Coefficient?

The formula of Absorption Coefficient is expressed as Absorption Coefficient = (-1/Sample Thickness)*ln(Absorbed Power/Incident Power). Here is an example- 150.6842 = (-1/4.6E-07)*ln(0.11/0.22).

How to calculate Absorption Coefficient?

With Sample Thickness (b), Absorbed Power (P_abs) & Incident Power (P_i) we can find Absorption Coefficient using the formula - Absorption Coefficient = (-1/Sample Thickness)*ln(Absorbed Power/Incident Power). This formula also uses Natural Logarithm (ln) function(s).

Can the Absorption Coefficient be negative?

No, the Absorption Coefficient, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Absorption Coefficient?

Absorption Coefficient is usually measured using the 1 per Centimeter[cm⁻¹] for Reciprocal Length. 1 per Meter[cm⁻¹], 1 per Kilometer[cm⁻¹], 1 per Mile[cm⁻¹] are the few other units in which Absorption Coefficient can be measured.

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