Relative Radiant Intensity of Atom Line Calculator

✖Gaseous Layer Thickness is the thickness of homogeneously radiating gaseous layer measured in the line of sight.ⓘ Gaseous Layer Thickness [d]			+10% -10%
✖Transition Number is the number of transitions per sec per cm3 leading to emission of a light quantum hv.ⓘ Transition Number [N]			+10% -10%
✖Spectral Line Frequency is the frequency of the spectral line emitted in the transition.ⓘ Spectral Line Frequency [ν_qp]			+10% -10%

✖Radiant Intensity is the radiant flux emitted, reflected, transmitted or received, per unit solid angle.ⓘ Relative Radiant Intensity of Atom Line [I_r]

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Formula

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Relative Radiant Intensity of Atom Line

Formula

`"I"_{"r"} = ("d"/(4*pi))*"N"*"[hP]"*"ν"_{"qp"}`

Example

`"1.204743W/sr"=("1.2E8m"/(4*pi))*"5.6E23"*"[hP]"*"340Hz"`

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Relative Radiant Intensity of Atom Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radiant Intensity = (Gaseous Layer Thickness/(4*pi))*Transition Number*[hP]*Spectral Line Frequency
I_r = (d/(4*pi))*N*[hP]*ν_qp
This formula uses 2 Constants, 4 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radiant Intensity - (Measured in Watt per Steradian) - Radiant Intensity is the radiant flux emitted, reflected, transmitted or received, per unit solid angle.
Gaseous Layer Thickness - (Measured in Meter) - Gaseous Layer Thickness is the thickness of homogeneously radiating gaseous layer measured in the line of sight.
Transition Number - Transition Number is the number of transitions per sec per cm3 leading to emission of a light quantum hv.
Spectral Line Frequency - (Measured in Hertz) - Spectral Line Frequency is the frequency of the spectral line emitted in the transition.

STEP 1: Convert Input(s) to Base Unit

Gaseous Layer Thickness: 120000000 Meter --> 120000000 Meter No Conversion Required
Transition Number: 5.6E+23 --> No Conversion Required
Spectral Line Frequency: 340 Hertz --> 340 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_r = (d/(4*pi))*N*[hP]*ν_qp --> (120000000/(4*pi))*5.6E+23*[hP]*340

Evaluating ... ...

I_r = 1.20474282447892

STEP 3: Convert Result to Output's Unit

1.20474282447892 Watt per Steradian --> No Conversion Required

FINAL ANSWER

1.20474282447892 ≈ 1.204743 Watt per Steradian <-- Radiant Intensity

(Calculation completed in 00.004 seconds)

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Created by Sangita Kalita

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

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< 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

Relative Radiant Intensity of Atom Line Formula

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

What is radiant flux?

The primary concept is that of the radiant flux of a source, that is, the amount of radiant energy emitted into space in unit time. Usually, we consider only a fraction of the total flux, namely the flux within a relatively small solid angle in the direction of observation, for example, the flux that reaches the dispersing medium or the detecting system.

How to Calculate Relative Radiant Intensity of Atom Line?

Relative Radiant Intensity of Atom Line calculator uses Radiant Intensity = (Gaseous Layer Thickness/(4*pi))*Transition Number*[hP]*Spectral Line Frequency to calculate the Radiant Intensity, The Relative Radiant Intensity of Atom Line formula is defined as the radiant flux emitted, reflected, transmitted or received, per unit solid angle. The modifications of the radiant energy flow upon passing from the field point to the observer through the gaseous layer are also considered. Radiant Intensity is denoted by I_r symbol.

How to calculate Relative Radiant Intensity of Atom Line using this online calculator? To use this online calculator for Relative Radiant Intensity of Atom Line, enter Gaseous Layer Thickness (d), Transition Number (N) & Spectral Line Frequency (ν_qp) and hit the calculate button. Here is how the Relative Radiant Intensity of Atom Line calculation can be explained with given input values -> 1.204743 = (120000000/(4*pi))*5.6E+23*[hP]*340.

FAQ

What is Relative Radiant Intensity of Atom Line?

The Relative Radiant Intensity of Atom Line formula is defined as the radiant flux emitted, reflected, transmitted or received, per unit solid angle. The modifications of the radiant energy flow upon passing from the field point to the observer through the gaseous layer are also considered and is represented as I_r = (d/(4*pi))*N*[hP]*ν_qp or Radiant Intensity = (Gaseous Layer Thickness/(4*pi))*Transition Number*[hP]*Spectral Line Frequency. Gaseous Layer Thickness is the thickness of homogeneously radiating gaseous layer measured in the line of sight, Transition Number is the number of transitions per sec per cm3 leading to emission of a light quantum hv & Spectral Line Frequency is the frequency of the spectral line emitted in the transition.

How to calculate Relative Radiant Intensity of Atom Line?

The Relative Radiant Intensity of Atom Line formula is defined as the radiant flux emitted, reflected, transmitted or received, per unit solid angle. The modifications of the radiant energy flow upon passing from the field point to the observer through the gaseous layer are also considered is calculated using Radiant Intensity = (Gaseous Layer Thickness/(4*pi))*Transition Number*[hP]*Spectral Line Frequency. To calculate Relative Radiant Intensity of Atom Line, you need Gaseous Layer Thickness (d), Transition Number (N) & Spectral Line Frequency (ν_qp). With our tool, you need to enter the respective value for Gaseous Layer Thickness, Transition Number & Spectral Line Frequency 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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