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Relative Population Formula

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Relative Population represents the population of particles in two different energy states. Check FAQs

n rel = \exp (- \frac{[hP] \cdot ν rel}{[BoltZ] \cdot T})

n_rel - Relative Population?ν_rel - Relative Frequency?T - Absolute Temperature?[hP] - Planck constant?[BoltZ] - Boltzmann constant?

Relative Population Example

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Here is how the Relative Population equation looks like with Values.

Here is how the Relative Population equation looks like with Units.

Here is how the Relative Population equation looks like.

1 = \exp (- \frac{6.6E-34 \cdot 8.9}{1.4E-23 \cdot 393})

1 = \exp (- \frac{6.6E-34 \cdot 8.9Hz}{1.4E-23J/K \cdot 393K})

1 = \exp (- \frac{6.6E-34 \cdot 8.9}{1.4E-23 \cdot 393})

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Relative Population Solution

Follow our step by step solution on how to calculate Relative Population?

FIRST Step Consider the formula

n rel = \exp (- \frac{[hP] \cdot ν rel}{[BoltZ] \cdot T})

Next Step Substitute values of Variables

∴

n rel = \exp (- \frac{[hP] \cdot 8.9Hz}{[BoltZ] \cdot 393K})

Next Step Substitute values of Constants

∴

n rel = \exp (- \frac{6.6E-34 \cdot 8.9Hz}{1.4E-23J/K \cdot 393K})

Next Step Prepare to Evaluate

∴

n rel = \exp (- \frac{6.6E-34 \cdot 8.9}{1.4E-23 \cdot 393})

Next Step Evaluate

∴

n rel = 0.999999999998913

LAST Step Rounding Answer

∴

n rel = 1

Relative Population Formula Elements

Variables

Constants

Functions

Relative Population

Relative Population represents the population of particles in two different energy states.

Symbol: n_rel

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Relative Population

Relative Frequency

Relative Frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario.

Symbol: ν_rel

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Relative Frequency

Absolute Temperature

Absolute Temperature represents the temperature of the system.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Absolute Temperature

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

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

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Go Length of Cavity

L c = \frac{λ \cdot m}{2}

Go Mode Number

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How to Evaluate Relative Population?

Relative Population evaluator uses Relative Population = exp(-([hP]*Relative Frequency)/([BoltZ]*Absolute Temperature)) to evaluate the Relative Population, The Relative Population formula is used to describe the relative populations of different energy states for particles in a system at a given temperature. Relative Population is denoted by n_rel symbol.

How to evaluate Relative Population using this online evaluator? To use this online evaluator for Relative Population, enter Relative Frequency (ν_rel) & Absolute Temperature (T) and hit the calculate button.

FAQs on Relative Population

What is the formula to find Relative Population?

The formula of Relative Population is expressed as Relative Population = exp(-([hP]*Relative Frequency)/([BoltZ]*Absolute Temperature)). Here is an example- 1 = exp(-([hP]*8.9)/([BoltZ]*393)).

How to calculate Relative Population?

With Relative Frequency (ν_rel) & Absolute Temperature (T) we can find Relative Population using the formula - Relative Population = exp(-([hP]*Relative Frequency)/([BoltZ]*Absolute Temperature)). This formula also uses Planck constant, Boltzmann constant and Exponential Growth (exp) function(s).

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Relative Population Formula

Relative Population Example

Relative Population Solution

Relative Population Formula Elements

Other formulas in Photonics Devices category

How to Evaluate Relative Population?

FAQs on Relative Population

Variable Name