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

GoEssen and Froome Formula for Group Refractive Index Formula

GoIUCG Formula for Refractive Index Formula

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Group Refractive Index is the he ratio of the vacuum velocity of light to the group velocity in a medium. Check FAQs

n = 1 + (\frac{0.269578 \cdot (n 0 - 1) \cdot P b}{273.15 + t}) - ((\frac{11.27}{273.15 + t}) \cdot 10^{- 6} \cdot e)

n - Group Refractive Index?n₀ - Group Refractive Index for Standard Condition?P_b - Barometric Pressure?t - Temperature in Celsius?e - Partial Pressure of Water Vapour?

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

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Here is how the Group Refractive Index if Temperature and Humidity are different from Standard Values equation looks like with Values.

Here is how the Group Refractive Index if Temperature and Humidity are different from Standard Values equation looks like with Units.

Here is how the Group Refractive Index if Temperature and Humidity are different from Standard Values equation looks like.

2.0054 = 1 + (\frac{0.269578 \cdot (1.2 - 1) \cdot 6921.213}{273.15 + 98}) - ((\frac{11.27}{273.15 + 98}) \cdot 10^{- 6} \cdot 1006)

2.0054 = 1 + (\frac{0.269578 \cdot (1.2 - 1) \cdot 6921.213}{273.15 + 98}) - ((\frac{11.27}{273.15 + 98}) \cdot 10^{- 6} \cdot 1006mbar)

2.0054 = 1 + (\frac{0.269578 \cdot (1.2 - 1) \cdot 6921.213}{273.15 + 98}) - ((\frac{11.27}{273.15 + 98}) \cdot 10^{- 6} \cdot 1006)

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

Follow our step by step solution on how to calculate Group Refractive Index if Temperature and Humidity are different from Standard Values?

FIRST Step Consider the formula

n = 1 + (\frac{0.269578 \cdot (n 0 - 1) \cdot P b}{273.15 + t}) - ((\frac{11.27}{273.15 + t}) \cdot 10^{- 6} \cdot e)

Next Step Substitute values of Variables

∴

n = 1 + (\frac{0.269578 \cdot (1.2 - 1) \cdot 6921.213}{273.15 + 98}) - ((\frac{11.27}{273.15 + 98}) \cdot 10^{- 6} \cdot 1006mbar)

Next Step Prepare to Evaluate

∴

n = 1 + (\frac{0.269578 \cdot (1.2 - 1) \cdot 6921.213}{273.15 + 98}) - ((\frac{11.27}{273.15 + 98}) \cdot 10^{- 6} \cdot 1006)

Next Step Evaluate

∴

n = 2.00538869460542

LAST Step Rounding Answer

∴

n = 2.0054

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

Variables

Group Refractive Index

Group Refractive Index is the he ratio of the vacuum velocity of light to the group velocity in a medium.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Group Refractive Index

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.

Symbol: n₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Group Refractive Index for Standard Condition

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.

Symbol: P_b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Barometric Pressure

Temperature in Celsius

Temperature in Celsius is the degree of coolness or hotness of any substance. It should be entered in degree celsius.

Symbol: t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Temperature in Celsius

Partial Pressure of Water Vapour

Partial pressure of water vapour is the vapour pressure in any gas mixture in equilibrium with solid or liquid water.

Symbol: e

Measurement: PressureUnit: mbar

Note: Value should be greater than 0.

Formulas to find Partial Pressure of Water Vapour

Other Formulas to find Group Refractive Index

Go Essen and Froome Formula for Group Refractive Index

n = 1 + (77.624 \cdot P b \cdot \frac{10^{- 6}}{273.15 + t}) + ((\frac{0.372}{{(273.15 + t)}^{2}}) - (12.92 \cdot \frac{10^{- 6}}{273.15 + t})) \cdot e

Go IUCG Formula for Refractive Index

n = 1 + (0.000077624 \cdot \frac{P b}{273.15 + t}) - (((\frac{12.924}{273.15 + t}) + (\frac{371900}{{(273.15 + t)}^{2}})) \cdot 10^{- 6} \cdot e)

Other formulas in EDM Corrections category

Go Wave Velocity in Medium

V = \frac{V 0}{RI}

Go Wave Velocity in Vacuum

V 0 = V \cdot RI

Go Group Refractive Index at Standard Conditions

n 0 = 1 + (287.604 + (\frac{4.8864}{λ^{2}}) + (\frac{0.068}{λ^{4}})) \cdot 10^{- 6}

Go Barometric Pressure given Group Refractive Index

P b = ((n - 1) + ((\frac{11.27 \cdot 10^{- 6} \cdot e}{273.15 + t}))) \cdot (\frac{273.15 + t}{0.269578 \cdot (n 0 - 1)})

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

Group Refractive Index if Temperature and Humidity are different from Standard Values evaluator 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 evaluate 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 evaluate Group Refractive Index if Temperature and Humidity are different from Standard Values using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Group Refractive Index if Temperature and Humidity are different from Standard Values?

The formula of Group Refractive Index if Temperature and Humidity are different from Standard Values is expressed as 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). Here is an example- 2.005389 = 1+((0.269578*(1.2-1)*6921.213)/(273.15+98))-((11.27/(273.15+98))*10^-6*100600).

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

With Group Refractive Index for Standard Condition (n₀), Barometric Pressure (P_b), Temperature in Celsius (t) & Partial Pressure of Water Vapour (e) we can find Group Refractive Index if Temperature and Humidity are different from Standard Values using the formula - 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).

What are the other ways to Calculate Group Refractive Index?

Here are the different ways to Calculate Group Refractive Index-

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

​GoEssen and Froome Formula for Group Refractive Index Formula

​GoIUCG Formula for Refractive Index Formula

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

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

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

Other Formulas to find Group Refractive Index

Other formulas in EDM Corrections category

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

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

Variable Name

GoEssen and Froome Formula for Group Refractive Index Formula

GoIUCG Formula for Refractive Index Formula