Specific Rotation of Optically Active Compound Calculator

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✖Observed rotation is the extent to which plane-polarized light is rotated by a solution of an optically active compound.ⓘ Observed Rotation [α]			+10% -10%
✖Length Of Sample Tube is the measurement or extent of the tube from end to end in the polarimeter.ⓘ Length Of Sample Tube [l]			+10% -10%
✖Concentration of Solution in Polarimeter is the abundance of a constituent divided by the total volume of a mixture.ⓘ Concentration of Solution in Polarimeter [c]			+10% -10%

✖The Specific Rotation of a compound is an intensive property that is used to quantify the enantiomeric excess of that compound.ⓘ Specific Rotation of Optically Active Compound [[α]_D]

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Formula

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Specific Rotation of Optically Active Compound

Formula

`"[α]"_{"D"} = "α"/("l"*"c")`

Example

`"11.25deg.mL.g⁻¹.dm⁻¹"="45°"/("2dm"*"2g/mL")`

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Specific Rotation of Optically Active Compound Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specific Rotation = Observed Rotation/(Length Of Sample Tube*Concentration of Solution in Polarimeter)
[α]_D = α/(l*c)
This formula uses 4 Variables

Variables Used

Specific Rotation - (Measured in Radian Cubic Meter per Kilogram per Meter) - The Specific Rotation of a compound is an intensive property that is used to quantify the enantiomeric excess of that compound.
Observed Rotation - (Measured in Radian) - Observed rotation is the extent to which plane-polarized light is rotated by a solution of an optically active compound.
Length Of Sample Tube - (Measured in Meter) - Length Of Sample Tube is the measurement or extent of the tube from end to end in the polarimeter.
Concentration of Solution in Polarimeter - (Measured in Kilogram per Cubic Meter) - Concentration of Solution in Polarimeter is the abundance of a constituent divided by the total volume of a mixture.

STEP 1: Convert Input(s) to Base Unit

Observed Rotation: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Length Of Sample Tube: 2 Decimeter --> 0.2 Meter (Check conversion here)
Concentration of Solution in Polarimeter: 2 Gram per Milliliter --> 2000 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

[α]_D = α/(l*c) --> 0.785398163397301/(0.2*2000)

Evaluating ... ...

[α]_D = 0.00196349540849325

STEP 3: Convert Result to Output's Unit

0.00196349540849325 Radian Cubic Meter per Kilogram per Meter -->11.25 Degree Milliliter per Gram per Decimeter (Check conversion here)

FINAL ANSWER

11.25 Degree Milliliter per Gram per Decimeter <-- Specific Rotation

(Calculation completed in 00.004 seconds)

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Created by Sangita Kalita

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

Sangita Kalita has created this Calculator and 50+ more calculators!

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National University of Judicial Science (NUJS), Kolkata

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< 7 Optical Activity Calculators

Percent Enantiomeric Excess Considering Amount of Enantiomer

Go Percent Enantiomeric Excess = (abs(Moles of R-Moles of S)/(Moles of R+Moles of S))*100

Specific Rotation of Optically Active Compound

Go Specific Rotation = Observed Rotation/(Length Of Sample Tube*Concentration of Solution in Polarimeter)

Percent Enantiomeric Excess

Go Percent Enantiomeric Excess = abs(Mole Fraction of R-Mole Fraction of S)*100

Enantiomeric Excess

Go Enantiomeric Excess = abs(Mole Fraction of R-Mole Fraction of S)

Optical Purity

Go Optical Purity = (Observed Specific Rotation/Maximum Specific Rotation)*100

Fraction of Major Isomer

Go Mole Fraction of R = 50+(Percent Enantiomeric Excess/2)

Fraction of Minor Isomer

Go Mole Fraction of S = 50-(Percent Enantiomeric Excess/2)

Specific Rotation of Optically Active Compound Formula

Specific Rotation = Observed Rotation/(Length Of Sample Tube*Concentration of Solution in Polarimeter)
[α]_D = α/(l*c)

What are the two forms of specific rotation?

Compounds which rotate the plane of polarization of a beam of plane polarized light clockwise are said to be dextrorotary, and correspond with positive specific rotation values, while compounds which rotate the plane of polarization of plane polarized light counterclockwise are said to be levorotary, and correspond with negative values.

How to Calculate Specific Rotation of Optically Active Compound?

Specific Rotation of Optically Active Compound calculator uses Specific Rotation = Observed Rotation/(Length Of Sample Tube*Concentration of Solution in Polarimeter) to calculate the Specific Rotation, The Specific Rotation of Optically Active Compound formula is defined as the change in orientation of monochromatic plane-polarized light, per unit distance–concentration product, as the light passes through a sample of a compound in solution. Specific Rotation is denoted by [α]_D symbol.

How to calculate Specific Rotation of Optically Active Compound using this online calculator? To use this online calculator for Specific Rotation of Optically Active Compound, enter Observed Rotation (α), Length Of Sample Tube (l) & Concentration of Solution in Polarimeter (c) and hit the calculate button. Here is how the Specific Rotation of Optically Active Compound calculation can be explained with given input values -> 64457.75 = 0.785398163397301/(0.2*2000).

FAQ

What is Specific Rotation of Optically Active Compound?

The Specific Rotation of Optically Active Compound formula is defined as the change in orientation of monochromatic plane-polarized light, per unit distance–concentration product, as the light passes through a sample of a compound in solution and is represented as [α]_D = α/(l*c) or Specific Rotation = Observed Rotation/(Length Of Sample Tube*Concentration of Solution in Polarimeter). Observed rotation is the extent to which plane-polarized light is rotated by a solution of an optically active compound, Length Of Sample Tube is the measurement or extent of the tube from end to end in the polarimeter & Concentration of Solution in Polarimeter is the abundance of a constituent divided by the total volume of a mixture.

How to calculate Specific Rotation of Optically Active Compound?

The Specific Rotation of Optically Active Compound formula is defined as the change in orientation of monochromatic plane-polarized light, per unit distance–concentration product, as the light passes through a sample of a compound in solution is calculated using Specific Rotation = Observed Rotation/(Length Of Sample Tube*Concentration of Solution in Polarimeter). To calculate Specific Rotation of Optically Active Compound, you need Observed Rotation (α), Length Of Sample Tube (l) & Concentration of Solution in Polarimeter (c). With our tool, you need to enter the respective value for Observed Rotation, Length Of Sample Tube & Concentration of Solution in Polarimeter 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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