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Absorption Co-Efficient Formula

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Absorption Coefficient represents the rate at which a material absorbs light. It is a measure of how strongly a material absorbs radiation per unit length. Check FAQs

α a = \frac{g 2}{g 1} \cdot (N 1 - N 2) \cdot \frac{B 21 \cdot [hP] \cdot v 21 \cdot n ri}{[c]}

α_a - Absorption Coefficient?g₂ - Degeneracy of Final State?g₁ - Degeneracy of Initial State?N₁ - Density of Atoms Initial State?N₂ - Density of Atoms Final State?B₂₁ - Einstein Coefficient for Stimulated Absorption?v₂₁ - Frequency of Transition?n_ri - Refractive Index?[hP] - Planck constant?[c] - Light speed in vacuum?

Absorption Co-Efficient Example

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Here is how the Absorption Co-Efficient equation looks like with Values.

Here is how the Absorption Co-Efficient equation looks like with Units.

Here is how the Absorption Co-Efficient equation looks like.

9.7E-41 = \frac{24}{12} \cdot (1.85 - 1.502) \cdot \frac{1.52 \cdot 6.6E-34 \cdot 41 \cdot 1.01}{3E+8}

9.7E-411/m = \frac{24}{12} \cdot (1.85electrons/m³ - 1.502electrons/m³) \cdot \frac{1.52m³ \cdot 6.6E-34 \cdot 41Hz \cdot 1.01}{3E+8m/s}

9.7E-41 = \frac{24}{12} \cdot (1.85 - 1.502) \cdot \frac{1.52 \cdot 6.6E-34 \cdot 41 \cdot 1.01}{3E+8}

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Absorption Co-Efficient Solution

Follow our step by step solution on how to calculate Absorption Co-Efficient?

FIRST Step Consider the formula

α a = \frac{g 2}{g 1} \cdot (N 1 - N 2) \cdot \frac{B 21 \cdot [hP] \cdot v 21 \cdot n ri}{[c]}

Next Step Substitute values of Variables

∴

α a = \frac{24}{12} \cdot (1.85electrons/m³ - 1.502electrons/m³) \cdot \frac{1.52m³ \cdot [hP] \cdot 41Hz \cdot 1.01}{[c]}

Next Step Substitute values of Constants

∴

α a = \frac{24}{12} \cdot (1.85electrons/m³ - 1.502electrons/m³) \cdot \frac{1.52m³ \cdot 6.6E-34 \cdot 41Hz \cdot 1.01}{3E+8m/s}

Next Step Prepare to Evaluate

∴

α a = \frac{24}{12} \cdot (1.85 - 1.502) \cdot \frac{1.52 \cdot 6.6E-34 \cdot 41 \cdot 1.01}{3E+8}

Next Step Evaluate

∴

α a = 9.68263090902183E-41Diopter

Next Step Convert to Output's Unit

∴

α a = 9.68263090902183E-411/m

LAST Step Rounding Answer

∴

α a = 9.7E-411/m

Absorption Co-Efficient Formula Elements

Variables

Constants

Absorption Coefficient

Absorption Coefficient represents the rate at which a material absorbs light. It is a measure of how strongly a material absorbs radiation per unit length.

Symbol: α_a

Measurement: Wave NumberUnit: 1/m

Note: Value should be greater than 0.

Formulas to find Absorption Coefficient

Degeneracy of Final State

Degeneracy of Final State refers to the number of different quantum states with the same energy.

Symbol: g₂

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Degeneracy of Final State

Degeneracy of Initial State

Degeneracy of Initial State refers to the number of different quantum states with the same energy.

Symbol: g₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Degeneracy of Initial State

Density of Atoms Initial State

Density of Atoms Initial State represent the concentration of atoms in the respective energy levels.

Symbol: N₁

Measurement: Electron DensityUnit: electrons/m³

Note: Value should be greater than 0.

Formulas to find Density of Atoms Initial State

Density of Atoms Final State

Density of Atoms Final State represent the concentration of atoms in the respective energy levels.

Symbol: N₂

Measurement: Electron DensityUnit: electrons/m³

Note: Value should be greater than 0.

Formulas to find Density of Atoms Final State

Einstein Coefficient for Stimulated Absorption

Einstein Coefficient for Stimulated Absorption represents the probability per unit time for an atom in the lower energy state.

Symbol: B₂₁

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Einstein Coefficient for Stimulated Absorption

Frequency of Transition

Frequency of Transition represents the energy difference between the two states divided by Planck's constant.

Symbol: v₂₁

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency of Transition

Refractive Index

Refractive Index is a dimensionless quantity that describes how much light is slowed down or refracted when entering a medium compared to its speed in a vacuum.

Symbol: n_ri

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Refractive Index

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Light speed in vacuum

Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.

Symbol: [c]

Value: 299792458.0 m/s

Other formulas in Lasers category

Go Plane of Polarizer

P = P' \cdot ({\cos (θ)}^{2})

Go Plane of Transmission of Analyzer

P' = \frac{P}{{(\cos (θ))}^{2}}

How to Evaluate Absorption Co-Efficient?

Absorption Co-Efficient evaluator uses Absorption Coefficient = Degeneracy of Final State/Degeneracy of Initial State*(Density of Atoms Initial State-Density of Atoms Final State)*(Einstein Coefficient for Stimulated Absorption*[hP]*Frequency of Transition*Refractive Index)/[c] to evaluate the Absorption Coefficient, The Absorption Co-Efficient formula is defined as the rate at which a material absorbs light. It is a measure of how strongly a material absorbs radiation per unit length. Absorption Coefficient is denoted by α_a symbol.

How to evaluate Absorption Co-Efficient using this online evaluator? To use this online evaluator for Absorption Co-Efficient, enter Degeneracy of Final State (g₂), Degeneracy of Initial State (g₁), Density of Atoms Initial State (N₁), Density of Atoms Final State (N₂), Einstein Coefficient for Stimulated Absorption (B₂₁), Frequency of Transition (v₂₁) & Refractive Index (n_ri) and hit the calculate button.

FAQs on Absorption Co-Efficient

What is the formula to find Absorption Co-Efficient?

The formula of Absorption Co-Efficient is expressed as Absorption Coefficient = Degeneracy of Final State/Degeneracy of Initial State*(Density of Atoms Initial State-Density of Atoms Final State)*(Einstein Coefficient for Stimulated Absorption*[hP]*Frequency of Transition*Refractive Index)/[c]. Here is an example- 9.7E-41 = 24/12*(1.85-1.502)*(1.52*[hP]*41*1.01)/[c].

How to calculate Absorption Co-Efficient?

With Degeneracy of Final State (g₂), Degeneracy of Initial State (g₁), Density of Atoms Initial State (N₁), Density of Atoms Final State (N₂), Einstein Coefficient for Stimulated Absorption (B₂₁), Frequency of Transition (v₂₁) & Refractive Index (n_ri) we can find Absorption Co-Efficient using the formula - Absorption Coefficient = Degeneracy of Final State/Degeneracy of Initial State*(Density of Atoms Initial State-Density of Atoms Final State)*(Einstein Coefficient for Stimulated Absorption*[hP]*Frequency of Transition*Refractive Index)/[c]. This formula also uses Planck constant, Light speed in vacuum constant(s).

Can the Absorption Co-Efficient be negative?

No, the Absorption Co-Efficient, measured in Wave Number cannot be negative.

Which unit is used to measure Absorption Co-Efficient?

Absorption Co-Efficient is usually measured using the 1 per Meter[1/m] for Wave Number. Diopter[1/m], Kayser[1/m] are the few other units in which Absorption Co-Efficient can be measured.

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Absorption Co-Efficient Formula

Absorption Co-Efficient Example

Absorption Co-Efficient Solution

Absorption Co-Efficient Formula Elements

Other formulas in Lasers category

How to Evaluate Absorption Co-Efficient?

FAQs on Absorption Co-Efficient

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