Group Refractive Index if Temperature and Humidity are different from Standard Values 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 for Standard Condition [n₀]			+10% -10%
✖Barometric Pressure is the pressure on earth that is caused by the weight of the air above us. It is sometimes the atmospheric pressure. It should be entered in millibar.ⓘ Barometric Pressure [P_b]			+10% -10%
✖Temperature in Celsius is the degree of coolness or hotness of any substance. It should be entered in degree celsius.ⓘ Temperature in Celsius [t]			+10% -10%
✖Partial pressure of water vapour is the vapour pressure in any gas mixture in equilibrium with solid or liquid water.ⓘ Partial Pressure of Water Vapour [e]			+10% -10%

✖Group Refractive Index is the he ratio of the vacuum velocity of light to the group velocity in a medium.ⓘ Group Refractive Index if Temperature and Humidity are different from Standard Values [n]

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

Formula

`"n" = 1+((0.269578*("n"_{"0"}-1)*"P"_{"b"})/(273.15+"t"))-((11.27/(273.15+"t"))*10^-6*"e")`

Example

`"2.005389"=1+((0.269578*("1.2"-1)*"6921.213")/(273.15+"98"))-((11.27/(273.15+"98"))*10^-6*"1006mbar")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
n = 1+((0.269578*(n₀-1)*P_b)/(273.15+t))-((11.27/(273.15+t))*10^-6*e)
This formula uses 5 Variables

Variables Used

Group Refractive Index - Group Refractive Index is the he ratio of the vacuum velocity of light to the group velocity in a medium.
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.
Barometric Pressure - Barometric Pressure is the pressure on earth that is caused by the weight of the air above us. It is sometimes the atmospheric pressure. It should be entered in millibar.
Temperature in Celsius - Temperature in Celsius is the degree of coolness or hotness of any substance. It should be entered in degree celsius.
Partial Pressure of Water Vapour - (Measured in Millibar) - Partial pressure of water vapour is the vapour pressure in any gas mixture in equilibrium with solid or liquid water.

STEP 1: Convert Input(s) to Base Unit

Group Refractive Index for Standard Condition: 1.2 --> No Conversion Required
Barometric Pressure: 6921.213 --> No Conversion Required
Temperature in Celsius: 98 --> No Conversion Required
Partial Pressure of Water Vapour: 1006 Millibar --> 1006 Millibar No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = 1+((0.269578*(n₀-1)*P_b)/(273.15+t))-((11.27/(273.15+t))*10^-6*e) --> 1+((0.269578*(1.2-1)*6921.213)/(273.15+98))-((11.27/(273.15+98))*10^-6*1006)

Evaluating ... ...

n = 2.00538869460542

STEP 3: Convert Result to Output's Unit

2.00538869460542 --> No Conversion Required

FINAL ANSWER

2.00538869460542 ≈ 2.005389 <-- Group Refractive Index

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 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 if Temperature and Humidity are different from Standard Values Formula

How the Partial Pressure of Water Vapour is Calculated?

The value of e is determined from measurements of the difference in temperature
between the dry and wet bulb thermometer readings of td and tw respectively.

How to Calculate Group Refractive Index if Temperature and Humidity are different from Standard Values?

Group Refractive Index if Temperature and Humidity are different from Standard Values calculator uses 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) to calculate the Group Refractive Index, The Group Refractive Index if Temperature and Humidity are different from Standard Values formula is defined as it defines the group refractive index values under different conditions from standard pressure and temperature. Group Refractive Index is denoted by n symbol.

How to calculate Group Refractive Index if Temperature and Humidity are different from Standard Values using this online calculator? To use this online calculator for Group Refractive Index if Temperature and Humidity are different from Standard Values, enter Group Refractive Index for Standard Condition (n₀), Barometric Pressure (P_b), Temperature in Celsius (t) & Partial Pressure of Water Vapour (e) and hit the calculate button. Here is how the Group Refractive Index if Temperature and Humidity are different from Standard Values calculation can be explained with given input values -> 2.005389 = 1+((0.269578*(1.2-1)*6921.213)/(273.15+98))-((11.27/(273.15+98))*10^-6*100600).

FAQ

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

The Group Refractive Index if Temperature and Humidity are different from Standard Values formula is defined as it defines the group refractive index values under different conditions from standard pressure and temperature and is represented as n = 1+((0.269578*(n₀-1)*P_b)/(273.15+t))-((11.27/(273.15+t))*10^-6*e) or 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). Group Refractive Index for Standard Condition is the ratio of the vacuum velocity of light to the group velocity in a medium, Barometric Pressure is the pressure on earth that is caused by the weight of the air above us. It is sometimes the atmospheric pressure. It should be entered in millibar, Temperature in Celsius is the degree of coolness or hotness of any substance. It should be entered in degree celsius & Partial pressure of water vapour is the vapour pressure in any gas mixture in equilibrium with solid or liquid water.

How to calculate Group Refractive Index if Temperature and Humidity are different from Standard Values?

The Group Refractive Index if Temperature and Humidity are different from Standard Values formula is defined as it defines the group refractive index values under different conditions from standard pressure and temperature is calculated using 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). To calculate Group Refractive Index if Temperature and Humidity are different from Standard Values, you need Group Refractive Index for Standard Condition (n₀), Barometric Pressure (P_b), Temperature in Celsius (t) & Partial Pressure of Water Vapour (e). With our tool, you need to enter the respective value for Group Refractive Index for Standard Condition, Barometric Pressure, Temperature in Celsius & Partial Pressure of Water Vapour and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Group Refractive Index?

In this formula, Group Refractive Index uses Group Refractive Index for Standard Condition, Barometric Pressure, Temperature in Celsius & Partial Pressure of Water Vapour. We can use 2 other way(s) to calculate the same, which is/are as follows -

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
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)

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