Ratio of Rate of Spontaneous and Stimulated Emission Calculator

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✖Frequency of Radiation refers to the number of oscillations or cycles of a wave that occur in a unit of time.ⓘ Frequency of Radiation [f_r]			+10% -10%
✖Temperature is a measure of the average kinetic energy of the particles in a substance.ⓘ Temperature [T_o]			+10% -10%

✖Ratio of Rate of Spontaneous to Stimulus Emission is a key parameter in the study of atomic and molecular processes.ⓘ Ratio of Rate of Spontaneous and Stimulated Emission [R_s]

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Formula

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Ratio of Rate of Spontaneous and Stimulated Emission

Formula

`"R"_{"s"} = exp((("[hP]"*"f"_{"r"})/("[BoltZ]"*"T"_{"o"}))-1)`

Example

`"0.367879"=exp((("[hP]"*"57Hz")/("[BoltZ]"*"293K"))-1)`

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Ratio of Rate of Spontaneous and Stimulated Emission Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ratio of Rate of Spontaneous to Stimulus Emission = exp((([hP]*Frequency of Radiation)/([BoltZ]*Temperature))-1)
R_s = exp((([hP]*f_r)/([BoltZ]*T_o))-1)
This formula uses 2 Constants, 1 Functions, 3 Variables

Constants Used

[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23
[hP] - Planck constant Value Taken As 6.626070040E-34

Functions Used

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

Variables Used

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.
Frequency of Radiation - (Measured in Hertz) - Frequency of Radiation refers to the number of oscillations or cycles of a wave that occur in a unit of time.
Temperature - (Measured in Kelvin) - Temperature is a measure of the average kinetic energy of the particles in a substance.

STEP 1: Convert Input(s) to Base Unit

Frequency of Radiation: 57 Hertz --> 57 Hertz No Conversion Required
Temperature: 293 Kelvin --> 293 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_s = exp((([hP]*f_r)/([BoltZ]*T_o))-1) --> exp((([hP]*57)/([BoltZ]*293))-1)

Evaluating ... ...

R_s = 0.367879441174877

STEP 3: Convert Result to Output's Unit

0.367879441174877 --> No Conversion Required

FINAL ANSWER

0.367879441174877 ≈ 0.367879 <-- Ratio of Rate of Spontaneous to Stimulus Emission

(Calculation completed in 00.004 seconds)

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Ratio of Rate of Spontaneous and Stimulated Emission

Go Ratio of Rate of Spontaneous to Stimulus Emission = exp((([hP]*Frequency of Radiation)/([BoltZ]*Temperature))-1)

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Ratio of Rate of Spontaneous and Stimulated Emission Formula

Ratio of Rate of Spontaneous to Stimulus Emission = exp((([hP]*Frequency of Radiation)/([BoltZ]*Temperature))-1)
R_s = exp((([hP]*f_r)/([BoltZ]*T_o))-1)

What is spontaneous emission?

Spontaneous emission occurs when an atom or molecule in an excited state undergoes a transition to a lower energy state without any external stimulus. This process results in the spontaneous emission of a photon.

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

Ratio of Rate of Spontaneous and Stimulated Emission calculator uses Ratio of Rate of Spontaneous to Stimulus Emission = exp((([hP]*Frequency of Radiation)/([BoltZ]*Temperature))-1) to calculate 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 calculate Ratio of Rate of Spontaneous and Stimulated Emission using this online calculator? To use this online calculator for Ratio of Rate of Spontaneous and Stimulated Emission, enter Frequency of Radiation (f_r) & Temperature (T_o) and hit the calculate button. Here is how the Ratio of Rate of Spontaneous and Stimulated Emission calculation can be explained with given input values -> 0.367879 = exp((([hP]*57)/([BoltZ]*293))-1).

FAQ

What is Ratio of Rate of Spontaneous and Stimulated 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 and is represented as R_s = exp((([hP]*f_r)/([BoltZ]*T_o))-1) or Ratio of Rate of Spontaneous to Stimulus Emission = exp((([hP]*Frequency of Radiation)/([BoltZ]*Temperature))-1). Frequency of Radiation refers to the number of oscillations or cycles of a wave that occur in a unit of time & Temperature is a measure of the average kinetic energy of the particles in a substance.

How to calculate Ratio of Rate of Spontaneous and Stimulated 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 is calculated using Ratio of Rate of Spontaneous to Stimulus Emission = exp((([hP]*Frequency of Radiation)/([BoltZ]*Temperature))-1). To calculate Ratio of Rate of Spontaneous and Stimulated Emission, you need Frequency of Radiation (f_r) & Temperature (T_o). With our tool, you need to enter the respective value for Frequency of Radiation & Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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