Relative Population Calculator

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✖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.ⓘ Relative Frequency [ν_rel]			+10% -10%
✖Absolute Temperature represents the temperature of the system.ⓘ Absolute Temperature [T]			+10% -10%

✖Relative Population represents the population of particles in two different energy states.ⓘ Relative Population [n_rel]

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Formula

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Relative Population

Formula

`"n"_{"rel"} = exp(-("[hP]"*"ν"_{"rel"})/("[BoltZ]"*"T"))`

Example

`"1"=exp(-("[hP]"*"8.9Hz")/("[BoltZ]"*"393K"))`

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Relative Population Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Population = exp(-([hP]*Relative Frequency)/([BoltZ]*Absolute Temperature))
n_rel = exp(-([hP]*ν_rel)/([BoltZ]*T))
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

Relative Population - Relative Population represents the population of particles in two different energy states.
Relative Frequency - (Measured in Hertz) - 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.
Absolute Temperature - (Measured in Kelvin) - Absolute Temperature represents the temperature of the system.

STEP 1: Convert Input(s) to Base Unit

Relative Frequency: 8.9 Hertz --> 8.9 Hertz No Conversion Required
Absolute Temperature: 393 Kelvin --> 393 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_rel = exp(-([hP]*ν_rel)/([BoltZ]*T)) --> exp(-([hP]*8.9)/([BoltZ]*393))

Evaluating ... ...

n_rel = 0.999999999998913

STEP 3: Convert Result to Output's Unit

0.999999999998913 --> No Conversion Required

FINAL ANSWER

0.999999999998913 ≈ 1 <-- Relative Population

(Calculation completed in 00.004 seconds)

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Credits

Created by Gowthaman N

Vellore Institute of Technology (VIT University), Chennai

Gowthaman N has created this Calculator and 25+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< 13 Photonics Devices Calculators

Saturation Current Density

Go Saturation Current Density = [Charge-e]*((Diffusion Coefficient of Hole)/Diffusion Length of Hole*Hole Concentration in n-Region+(Electron Diffusion Coefficient)/Diffusion Length of Electron*Electron Concentration in p-Region)

Spectral Radiant Emittance

Go Spectral Radiant Emittance = (2*pi*[hP]*[c]^3)/Wavelength of Visible Light^5*1/(exp(([hP]*[c])/(Wavelength of Visible Light*[BoltZ]*Absolute Temperature))-1)

Contact Potential Difference

Go Voltage Across PN Junction = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln((Acceptor Concentration*Donor Concentration)/(Intrinsic Carrier Concentration)^2)

Energy Density given Einstein Co-Efficients

Go Energy Density = (8*[hP]*Frequency of Radiation^3)/[c]^3*(1/(exp((Planck's Constant*Frequency of Radiation)/([BoltZ]*Temperature))-1))

Proton Concentration under Unbalanced Condition

Go Proton Concentration = Intrinsic Electron Concentration*exp((Intrinsic Energy Level of Semiconductor-Quasi Fermi Level of Electrons)/([BoltZ]*Absolute Temperature))

Total Current Density

Go Total Current Density = Saturation Current Density*(exp(([Charge-e]*Voltage Across PN Junction)/([BoltZ]*Absolute Temperature))-1)

Net Phase Shift

Go Net Phase Shift = pi/Wavelength of Light*(Refractive Index)^3*Length of Fiber*Supply Voltage

Relative Population

Go Relative Population = exp(-([hP]*Relative Frequency)/([BoltZ]*Absolute Temperature))

Optical Power Radiated

Go Optical Power Radiated = Emissivity*[Stefan-BoltZ]*Area of Source*Temperature^4

Mode Number

Go Mode Number = (2*Length of Cavity*Refractive Index)/Photon Wavelength

Wavelength of Radiation in Vaccum

Go Wavelength of Wave = Apex Angle*(180/pi)*2*Single Pinhole

Wavelength of Output Light

Go Wavelength of Light = Refractive Index*Photon Wavelength

Length of Cavity

Go Length of Cavity = (Photon Wavelength*Mode Number)/2

Relative Population Formula

Relative Population = exp(-([hP]*Relative Frequency)/([BoltZ]*Absolute Temperature))
n_rel = exp(-([hP]*ν_rel)/([BoltZ]*T))

Explain the role of relative population and how it governs quantum transition?

The relative population of quantum states determines the likelihood of transitions between these states. States with higher populations have higher probabilities of transition, impacting the emission or absorption of energy in quantum systems.

How to Calculate Relative Population?

Relative Population calculator uses Relative Population = exp(-([hP]*Relative Frequency)/([BoltZ]*Absolute Temperature)) to calculate 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 calculate Relative Population using this online calculator? To use this online calculator for Relative Population, enter Relative Frequency (ν_rel) & Absolute Temperature (T) and hit the calculate button. Here is how the Relative Population calculation can be explained with given input values -> 1 = exp(-([hP]*8.9)/([BoltZ]*393)).

FAQ

What is 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 and is represented as n_rel = exp(-([hP]*ν_rel)/([BoltZ]*T)) or Relative Population = exp(-([hP]*Relative Frequency)/([BoltZ]*Absolute Temperature)). 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 & Absolute Temperature represents the temperature of the system.

How to calculate 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 is calculated using Relative Population = exp(-([hP]*Relative Frequency)/([BoltZ]*Absolute Temperature)). To calculate Relative Population, you need Relative Frequency (ν_rel) & Absolute Temperature (T). With our tool, you need to enter the respective value for Relative Frequency & Absolute 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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