Group Refractive Index at Standard Conditions Calculator

✖Group Refractive Index for Standard Condition is the ratio of the vacuum velocity of light to the group velocity in a medium.ⓘ Group Refractive Index at Standard Conditions [n₀]

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Group Refractive Index at Standard Conditions

Formula

`"n"_{"0"} = 1+(287.604+(4.8864/"λ"^2)+(0.068/"λ"^4))*10^-6`

Example

`"1.000288"=1+(287.604+(4.8864/("20m")^2)+(0.068/("20m")^4))*10^-6`

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Group Refractive Index at Standard Conditions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Group Refractive Index for Standard Condition = 1+(287.604+(4.8864/Wavelength^2)+(0.068/Wavelength^4))*10^-6
n₀ = 1+(287.604+(4.8864/λ^2)+(0.068/λ^4))*10^-6
This formula uses 2 Variables

Variables Used

Group Refractive Index for Standard Condition - Group Refractive Index for Standard Condition is the ratio of the vacuum velocity of light to the group velocity in a medium.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.

STEP 1: Convert Input(s) to Base Unit

Wavelength: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n₀ = 1+(287.604+(4.8864/λ^2)+(0.068/λ^4))*10^-6 --> 1+(287.604+(4.8864/20^2)+(0.068/20^4))*10^-6

Evaluating ... ...

n₀ = 1.00028761621642

STEP 3: Convert Result to Output's Unit

1.00028761621642 --> No Conversion Required

FINAL ANSWER

1.00028761621642 ≈ 1.000288 <-- Group Refractive Index for Standard Condition

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 11 EDM Corrections Calculators

Barometric Pressure given Group Refractive Index

Go Barometric Pressure = ((Group Refractive Index-1)+(((11.27*10^-6*Partial Pressure of Water Vapour)/(273.15+Temperature in Celsius))))*((273.15+Temperature in Celsius)/(0.269578*(Group Refractive Index for Standard Condition-1)))

Group Refractive Index if Temperature and Humidity are different from Standard Values

Go Group Refractive Index = 1+((0.269578*(Group Refractive Index for Standard Condition-1)*Barometric Pressure)/(273.15+Temperature in Celsius))-((11.27/(273.15+Temperature in Celsius))*10^-6*Partial Pressure of Water Vapour)

IUCG Formula for Refractive Index

Go Group Refractive Index = 1+(0.000077624*Barometric Pressure/(273.15+Temperature in Celsius))-(((12.924/(273.15+Temperature in Celsius))+(371900/(273.15+Temperature in Celsius)^2))*10^-6*Partial Pressure of Water Vapour)

Essen and Froome Formula for Group Refractive Index

Go Group Refractive Index = 1+(77.624*Barometric Pressure*10^-6/(273.15+Temperature in Celsius))+((0.372/(273.15+Temperature in Celsius)^2)-(12.92*10^-6/(273.15+Temperature in Celsius)))*Partial Pressure of Water Vapour

Overall Standard Error

Go Overall Standard Error = sqrt(Standard Error e^2+(Distance Traveled*Standard Error p*10^-6)^2)

Corrected Slope Distance for Refractive Index

Go Corrected Slope = (Standard Refractive Index/Refractive Index)*Measured Distance

Group Refractive Index at Standard Conditions

Go Group Refractive Index for Standard Condition = 1+(287.604+(4.8864/Wavelength^2)+(0.068/Wavelength^4))*10^-6

Temperature Difference given Partial Pressure

Go Temperature Change = (Saturated Vapor Pressure of Water-Partial Pressure of Water Vapour)/0.7

Partial Pressure of Water Vapour when Temperature Effects are Considered

Go Partial Pressure of Water Vapour = Saturated Vapor Pressure of Water-0.7*Temperature Change

Wave Velocity in Medium

Go Wave Velocity = Velocity in Vacuum/Refractive Index

Wave Velocity in Vacuum

Go Velocity in Vacuum = Wave Velocity*Refractive Index

Group Refractive Index at Standard Conditions Formula

Group Refractive Index for Standard Condition = 1+(287.604+(4.8864/Wavelength^2)+(0.068/Wavelength^4))*10^-6
n₀ = 1+(287.604+(4.8864/λ^2)+(0.068/λ^4))*10^-6

Why is Group Index used?

The Group Index is used, e.g., to calculate time delays for ultrashort pulses propagating in a medium, or the free spectral range of a resonator containing a dispersive medium. For crystals or glasses, the group index in the visible or near-infrared spectral range is typically larger than the ordinary refractive index, which determines the phase velocity. This implies that the group velocity is often (but not always) lower than the phase velocity.

How to Calculate Group Refractive Index at Standard Conditions?

Group Refractive Index at Standard Conditions calculator uses Group Refractive Index for Standard Condition = 1+(287.604+(4.8864/Wavelength^2)+(0.068/Wavelength^4))*10^-6 to calculate the Group Refractive Index for Standard Condition, The Group Refractive Index at Standard Conditions formula is defined as the ratio of the vacuum velocity of light to the group velocity in a medium. For calculating this, one obviously needs to know the refractive index at the wavelength of interest and its frequency dependence. Group Refractive Index for Standard Condition is denoted by n₀ symbol.

How to calculate Group Refractive Index at Standard Conditions using this online calculator? To use this online calculator for Group Refractive Index at Standard Conditions, enter Wavelength (λ) and hit the calculate button. Here is how the Group Refractive Index at Standard Conditions calculation can be explained with given input values -> 1.000288 = 1+(287.604+(4.8864/20^2)+(0.068/20^4))*10^-6.

FAQ

What is Group Refractive Index at Standard Conditions?

The Group Refractive Index at Standard Conditions formula is defined as the ratio of the vacuum velocity of light to the group velocity in a medium. For calculating this, one obviously needs to know the refractive index at the wavelength of interest and its frequency dependence and is represented as n₀ = 1+(287.604+(4.8864/λ^2)+(0.068/λ^4))*10^-6 or Group Refractive Index for Standard Condition = 1+(287.604+(4.8864/Wavelength^2)+(0.068/Wavelength^4))*10^-6. Wavelength can be defined as the distance between two successive crests or troughs of a wave.

How to calculate Group Refractive Index at Standard Conditions?

The Group Refractive Index at Standard Conditions formula is defined as the ratio of the vacuum velocity of light to the group velocity in a medium. For calculating this, one obviously needs to know the refractive index at the wavelength of interest and its frequency dependence is calculated using Group Refractive Index for Standard Condition = 1+(287.604+(4.8864/Wavelength^2)+(0.068/Wavelength^4))*10^-6. To calculate Group Refractive Index at Standard Conditions, you need Wavelength (λ). With our tool, you need to enter the respective value for Wavelength 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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