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Ratio of Rate of Spontaneous and Stimulated Emission Formula

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Ratio of Rate of Spontaneous to Stimulus Emission is a key parameter in the study of atomic and molecular processes. Check FAQs

R s = \exp ((\frac{[hP] \cdot f r}{[BoltZ] \cdot T o}) - 1)

R_s - Ratio of Rate of Spontaneous to Stimulus Emission?f_r - Frequency of Radiation?T_o - Temperature?[hP] - Planck constant?[BoltZ] - Boltzmann constant?

Ratio of Rate of Spontaneous and Stimulated Emission Example

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Here is how the Ratio of Rate of Spontaneous and Stimulated Emission equation looks like with Values.

Here is how the Ratio of Rate of Spontaneous and Stimulated Emission equation looks like with Units.

Here is how the Ratio of Rate of Spontaneous and Stimulated Emission equation looks like.

0.3679 = \exp ((\frac{6.6E-34 \cdot 57}{1.4E-23 \cdot 293}) - 1)

0.3679 = \exp ((\frac{6.6E-34 \cdot 57Hz}{1.4E-23J/K \cdot 293K}) - 1)

0.3679 = \exp ((\frac{6.6E-34 \cdot 57}{1.4E-23 \cdot 293}) - 1)

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Ratio of Rate of Spontaneous and Stimulated Emission Solution

Follow our step by step solution on how to calculate Ratio of Rate of Spontaneous and Stimulated Emission?

FIRST Step Consider the formula

R s = \exp ((\frac{[hP] \cdot f r}{[BoltZ] \cdot T o}) - 1)

Next Step Substitute values of Variables

∴

R s = \exp ((\frac{[hP] \cdot 57Hz}{[BoltZ] \cdot 293K}) - 1)

Next Step Substitute values of Constants

∴

R s = \exp ((\frac{6.6E-34 \cdot 57Hz}{1.4E-23J/K \cdot 293K}) - 1)

Next Step Prepare to Evaluate

∴

R s = \exp ((\frac{6.6E-34 \cdot 57}{1.4E-23 \cdot 293}) - 1)

Next Step Evaluate

∴

R s = 0.367879441174877

LAST Step Rounding Answer

∴

R s = 0.3679

Ratio of Rate of Spontaneous and Stimulated Emission Formula Elements

Variables

Constants

Functions

Ratio of Rate of Spontaneous to Stimulus Emission

Ratio of Rate of Spontaneous to Stimulus Emission is a key parameter in the study of atomic and molecular processes.

Symbol: R_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of Rate of Spontaneous to Stimulus Emission

Frequency of Radiation

Frequency of Radiation refers to the number of oscillations or cycles of a wave that occur in a unit of time.

Symbol: f_r

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency of Radiation

Temperature

Temperature is a measure of the average kinetic energy of the particles in a substance.

Symbol: T_o

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find 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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How to Evaluate Ratio of Rate of Spontaneous and Stimulated Emission?

Ratio of Rate of Spontaneous and Stimulated Emission evaluator uses Ratio of Rate of Spontaneous to Stimulus Emission = exp((([hP]*Frequency of Radiation)/([BoltZ]*Temperature))-1) to evaluate the Ratio of Rate of Spontaneous to Stimulus Emission, The Ratio of Rate of Spontaneous and Stimulated Emission formula is defined as a key parameter in the study of atomic and molecular processes. Ratio of Rate of Spontaneous to Stimulus Emission is denoted by R_s symbol.

How to evaluate Ratio of Rate of Spontaneous and Stimulated Emission using this online evaluator? To use this online evaluator for Ratio of Rate of Spontaneous and Stimulated Emission, enter Frequency of Radiation (f_r) & Temperature (T_o) and hit the calculate button.

FAQs on Ratio of Rate of Spontaneous and Stimulated Emission

What is the formula to find Ratio of Rate of Spontaneous and Stimulated Emission?

The formula of Ratio of Rate of Spontaneous and Stimulated Emission is expressed as Ratio of Rate of Spontaneous to Stimulus Emission = exp((([hP]*Frequency of Radiation)/([BoltZ]*Temperature))-1). Here is an example- 0.367879 = exp((([hP]*57)/([BoltZ]*293))-1).

How to calculate Ratio of Rate of Spontaneous and Stimulated Emission?

With Frequency of Radiation (f_r) & Temperature (T_o) we can find Ratio of Rate of Spontaneous and Stimulated Emission using the formula - Ratio of Rate of Spontaneous to Stimulus Emission = exp((([hP]*Frequency of Radiation)/([BoltZ]*Temperature))-1). This formula also uses Planck constant, Boltzmann constant and Exponential Growth (exp) function(s).

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Ratio of Rate of Spontaneous and Stimulated Emission Formula

Ratio of Rate of Spontaneous and Stimulated Emission Example

Ratio of Rate of Spontaneous and Stimulated Emission Solution

Ratio of Rate of Spontaneous and Stimulated Emission Formula Elements

Other formulas in Lasers category

How to Evaluate Ratio of Rate of Spontaneous and Stimulated Emission?

FAQs on Ratio of Rate of Spontaneous and Stimulated Emission

Variable Name