FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Essen and Froome Formula for Group Refractive Index Formula

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

GoIUCG Formula for Refractive Index Formula

Fx Copy

LaTeX Copy

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

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

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

Essen and Froome Formula for Group Refractive Index Example

With values

With units

Only example

Here is how the Essen and Froome Formula for Group Refractive Index equation looks like with Values.

Here is how the Essen and Froome Formula for Group Refractive Index equation looks like with Units.

Here is how the Essen and Froome Formula for Group Refractive Index equation looks like.

1.2696 = 1 + (77.624 \cdot 6921.213 \cdot \frac{10^{- 6}}{273.15 + 98}) + ((\frac{0.372}{{(273.15 + 98)}^{2}}) - (12.92 \cdot \frac{10^{- 6}}{273.15 + 98})) \cdot 1006

1.2696 = 1 + (77.624 \cdot 6921.213 \cdot \frac{10^{- 6}}{273.15 + 98}) + ((\frac{0.372}{{(273.15 + 98)}^{2}}) - (12.92 \cdot \frac{10^{- 6}}{273.15 + 98})) \cdot 1006mbar

1.2696 = 1 + (77.624 \cdot 6921.213 \cdot \frac{10^{- 6}}{273.15 + 98}) + ((\frac{0.372}{{(273.15 + 98)}^{2}}) - (12.92 \cdot \frac{10^{- 6}}{273.15 + 98})) \cdot 1006

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Surveying Formulas » fx Essen and Froome Formula for Group Refractive Index

Essen and Froome Formula for Group Refractive Index Solution

Follow our step by step solution on how to calculate Essen and Froome Formula for Group Refractive Index?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

n = 1 + (77.624 \cdot 6921.213 \cdot \frac{10^{- 6}}{273.15 + 98}) + ((\frac{0.372}{{(273.15 + 98)}^{2}}) - (12.92 \cdot \frac{10^{- 6}}{273.15 + 98})) \cdot 1006mbar

Next Step Convert Units

∴

n = 1 + (77.624 \cdot 6921.213 \cdot \frac{10^{- 6}}{273.15 + 98}) + ((\frac{0.372}{{(273.15 + 98)}^{2}}) - (12.92 \cdot \frac{10^{- 6}}{273.15 + 98})) \cdot 100600Pa

Next Step Prepare to Evaluate

∴

n = 1 + (77.624 \cdot 6921.213 \cdot \frac{10^{- 6}}{273.15 + 98}) + ((\frac{0.372}{{(273.15 + 98)}^{2}}) - (12.92 \cdot \frac{10^{- 6}}{273.15 + 98})) \cdot 100600

Next Step Evaluate

∴

n = 1.26961576791782

LAST Step Rounding Answer

∴

n = 1.2696

Essen and Froome Formula for Group Refractive Index 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

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

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)

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 Essen and Froome Formula for Group Refractive Index?

Essen and Froome Formula for Group Refractive Index evaluator uses 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 to evaluate the Group Refractive Index, The Essen and Froome Formula for Group Refractive Index formula is defined as the refractive index value for microwaves. Here the temperature is represented in degrees Celsius or can directly substitute in kelvin. Group Refractive Index is denoted by n symbol.

How to evaluate Essen and Froome Formula for Group Refractive Index using this online evaluator? To use this online evaluator for Essen and Froome Formula for Group Refractive Index, enter Barometric Pressure (P_b), Temperature in Celsius (t) & Partial Pressure of Water Vapour (e) and hit the calculate button.

FAQs on Essen and Froome Formula for Group Refractive Index

What is the formula to find Essen and Froome Formula for Group Refractive Index?

The formula of Essen and Froome Formula for Group Refractive Index is expressed as 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. Here is an example- 1.269616 = 1+(77.624*6921.213*10^-6/(273.15+98))+((0.372/(273.15+98)^2)-(12.92*10^-6/(273.15+98)))*100600.

How to calculate Essen and Froome Formula for Group Refractive Index?

With Barometric Pressure (P_b), Temperature in Celsius (t) & Partial Pressure of Water Vapour (e) we can find Essen and Froome Formula for Group Refractive Index using the formula - 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.

What are the other ways to Calculate Group Refractive Index?

Here are the different ways to Calculate Group Refractive Index-

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=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)

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Essen and Froome Formula for Group Refractive Index Formula

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

​GoIUCG Formula for Refractive Index Formula

Essen and Froome Formula for Group Refractive Index Example

Essen and Froome Formula for Group Refractive Index Solution

Essen and Froome Formula for Group Refractive Index Formula Elements

Other Formulas to find Group Refractive Index

Other formulas in EDM Corrections category

How to Evaluate Essen and Froome Formula for Group Refractive Index?

FAQs on Essen and Froome Formula for Group Refractive Index

Variable Name

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

GoIUCG Formula for Refractive Index Formula