Classical Damping Constant of Oscillator Calculator

✖Oscillator Frequency is the number of oscillations per unit of time.ⓘ Oscillator Frequency [ν]

+10%

-10%

✖Classical Damping Constant is the constant for loss of energy of an oscillating system by dissipation.ⓘ Classical Damping Constant of Oscillator [γ_cl]

⎘ Copy

👎

Formula

✖

Classical Damping Constant of Oscillator

Formula

`"γ"_{"cl"} = (8*(pi^2)*("[Charge-e]"^2)*("ν"^2))/(3*"[Mass-e]"*("[c]"^3))`

Example

`"6.3E^-25"=(8*(pi^2)*("[Charge-e]"^2)*(("4800Hz")^2))/(3*"[Mass-e]"*("[c]"^3))`

Calculator

LaTeX

Reset

👍

Download Chemistry Formula PDF PDF Image

Classical Damping Constant of Oscillator Solution

STEP 0: Pre-Calculation Summary

Formula Used

Classical Damping Constant = (8*(pi^2)*([Charge-e]^2)*(Oscillator Frequency^2))/(3*[Mass-e]*([c]^3))
γ_cl = (8*(pi^2)*([Charge-e]^2)*(ν^2))/(3*[Mass-e]*([c]^3))
This formula uses 4 Constants, 2 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[Mass-e] - Mass of electron Value Taken As 9.10938356E-31
[c] - Light speed in vacuum Value Taken As 299792458.0
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Classical Damping Constant - Classical Damping Constant is the constant for loss of energy of an oscillating system by dissipation.
Oscillator Frequency - (Measured in Hertz) - Oscillator Frequency is the number of oscillations per unit of time.

STEP 1: Convert Input(s) to Base Unit

Oscillator Frequency: 4800 Hertz --> 4800 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_cl = (8*(pi^2)*([Charge-e]^2)*(ν^2))/(3*[Mass-e]*([c]^3)) --> (8*(pi^2)*([Charge-e]^2)*(4800^2))/(3*[Mass-e]*([c]^3))

Evaluating ... ...

γ_cl = 6.34191817906311E-25

STEP 3: Convert Result to Output's Unit

6.34191817906311E-25 --> No Conversion Required

FINAL ANSWER

6.34191817906311E-25 ≈ 6.3E-25 <-- Classical Damping Constant

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Spectrochemistry » Classical Damping Constant of Oscillator

Credits

Created by Sangita Kalita

National Institute of Technology, Manipur (NIT Manipur), Imphal, Manipur

Sangita Kalita has created this Calculator and 50+ more calculators!

Verified by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

Soupayan banerjee has verified this Calculator and 800+ more calculators!

< 9 Spectrochemistry Calculators

Kaiser Transform

Go Kaiser Transform = (Constant for Kaiser Transform*log10(1/Transmittance for Kaiser Transform))+((1-Constant for Kaiser Transform)*log10(1/(Transmittance for Kaiser Transform-1)))

Absolute Intensity of Atom Line

Go Absolute Intensity of Atom Line = (Gaseous Layer Thickness/(4*pi))*Transition Probability*Neutral Atoms Density*[hP]*Spectral Line Frequency

Scheibe-Lomakin Equation

Go Intensity of Spectral Line = Proportionality Constant of Schiebe Lomakin*(Concentration of Element for Scheibe Lomakin^Proportionality Deviation of Schiebe Lomakin)

Relative Radiant Intensity of Atom Line

Go Radiant Intensity = (Gaseous Layer Thickness/(4*pi))*Transition Number*[hP]*Spectral Line Frequency

Solid Angle for Radiance

Go Solid Angle for Radiance = (Surface Area for Radiance*cos(Angle for Radiance))/(Distance for Radiance^2)

Relative Exposure

Go Relative Exposure = 10^((Slope for Relative Exposure*Kaiser Transform)+Intercept for Relative Exposure)

Partial Pressure in Column Arc

Go Partial Pressure in Arc Column = 1.3625*(10^22)*Temperature in Arc Column*Electron Density in Arc Column

Classical Damping Constant of Oscillator

Go Classical Damping Constant = (8*(pi^2)*([Charge-e]^2)*(Oscillator Frequency^2))/(3*[Mass-e]*([c]^3))

Radiant Flux

Go Radiant Flux = Radiant Intensity*Solid Angle for Radiance

Classical Damping Constant of Oscillator Formula

Classical Damping Constant = (8*(pi^2)*([Charge-e]^2)*(Oscillator Frequency^2))/(3*[Mass-e]*([c]^3))
γ_cl = (8*(pi^2)*([Charge-e]^2)*(ν^2))/(3*[Mass-e]*([c]^3))

What is spectrochemical analysis?

In spectrochemical analysis, emission spectra of atoms and ions (and sometimes of molecules) are used for detecting and determining chemical elements. To ascertain the concentrations of the elements in the samples, 'intensities' of spectral lines are evaluated.

How to Calculate Classical Damping Constant of Oscillator?

Classical Damping Constant of Oscillator calculator uses Classical Damping Constant = (8*(pi^2)*([Charge-e]^2)*(Oscillator Frequency^2))/(3*[Mass-e]*([c]^3)) to calculate the Classical Damping Constant, The Classical Damping Constant of Oscillator formula is defined as constant for damping, which is the loss of energy of an oscillating system by dissipation, causing its oscillations to gradually decay. Classical Damping Constant is denoted by γ_cl symbol.

How to calculate Classical Damping Constant of Oscillator using this online calculator? To use this online calculator for Classical Damping Constant of Oscillator, enter Oscillator Frequency (ν) and hit the calculate button. Here is how the Classical Damping Constant of Oscillator calculation can be explained with given input values -> 6.3E-25 = (8*(pi^2)*([Charge-e]^2)*(4800^2))/(3*[Mass-e]*([c]^3)).

FAQ

What is Classical Damping Constant of Oscillator?

The Classical Damping Constant of Oscillator formula is defined as constant for damping, which is the loss of energy of an oscillating system by dissipation, causing its oscillations to gradually decay and is represented as γ_cl = (8*(pi^2)*([Charge-e]^2)*(ν^2))/(3*[Mass-e]*([c]^3)) or Classical Damping Constant = (8*(pi^2)*([Charge-e]^2)*(Oscillator Frequency^2))/(3*[Mass-e]*([c]^3)). Oscillator Frequency is the number of oscillations per unit of time.

How to calculate Classical Damping Constant of Oscillator?

The Classical Damping Constant of Oscillator formula is defined as constant for damping, which is the loss of energy of an oscillating system by dissipation, causing its oscillations to gradually decay is calculated using Classical Damping Constant = (8*(pi^2)*([Charge-e]^2)*(Oscillator Frequency^2))/(3*[Mass-e]*([c]^3)). To calculate Classical Damping Constant of Oscillator, you need Oscillator Frequency (ν). With our tool, you need to enter the respective value for Oscillator Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search