## Angle of Rotation in Cn Axis Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angle of Rotation in Cn Axis = 2*pi/Order of Rotation Axis
Φ = 2*pi/nrotation axis
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Angle of Rotation in Cn Axis - (Measured in Radian) - Angle of Rotation in Cn Axis is defined as is the angle through which we carry out the rotation about the Axis.
Order of Rotation Axis - Order of Rotation Axis in Cn Operation is a line in space about which an object may be rotated anticlockwise by 360°/n such that its initial and final positions are indistinguishable.
STEP 1: Convert Input(s) to Base Unit
Order of Rotation Axis: 20 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Φ = 2*pi/nrotation axis --> 2*pi/20
Evaluating ... ...
Φ = 0.314159265358979
STEP 3: Convert Result to Output's Unit
0.314159265358979 Radian -->18.0000000000034 Degree (Check conversion here)
18.0000000000034 Degree <-- Angle of Rotation in Cn Axis
(Calculation completed in 00.016 seconds)
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National Institute Of Technology Warangal (NITW), Warangal
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## < 10+ Group Theory Calculators

Probability of Symmetry Species occurring in Reducible Representation
No. of Times Irrep occurs in Reducible = 1/Order of Group*add(Character of Reducible Representation+Character of Irreducible Representation+Number of Symmetry Operation)
Angle of Rotation in Cn Axis
Angle of Rotation in Cn Axis = 2*pi/Order of Rotation Axis
Order of Rotation Axis in Cn Operation
Order of Rotation Axis = (2*pi)/Theta
Character of Cn Matrix
Character of Cn Matrix = 2*cos(Theta)+1
Character of Sn Matrix
Character of Sn Matrix = 2*cos(Theta)-1
Order of Dnh Point Group
Order of Dnh Point Group = 4*Principal Axis
Order of Cnh Point Group
Order of Cnh Point Group = 2*Principal Axis
Order of Cnv Point Group
Order of Cnv Point Group = 2*Principal Axis
Order of Dnd Point Group
Order of Dnd Point Group = 4*Principal Axis
Order of Dn Point Group
Order of Dn Point Group = 2*Principal Axis

## Angle of Rotation in Cn Axis Formula

Angle of Rotation in Cn Axis = 2*pi/Order of Rotation Axis
Φ = 2*pi/nrotation axis

## What is Proper Rotation Axis?

If the rotation of a molecule about an axis through some angle results in a configuration which is indistinguishable from the original, then the molecule is said to possess a proper rotation axis.

## How to Calculate Angle of Rotation in Cn Axis?

Angle of Rotation in Cn Axis calculator uses Angle of Rotation in Cn Axis = 2*pi/Order of Rotation Axis to calculate the Angle of Rotation in Cn Axis, Angle of Rotation in Cn Axis formula is defined as the angle through which the rotation about the Axis in the molecule is calculated. Angle of Rotation in Cn Axis is denoted by Φ symbol.

How to calculate Angle of Rotation in Cn Axis using this online calculator? To use this online calculator for Angle of Rotation in Cn Axis, enter Order of Rotation Axis (nrotation axis) and hit the calculate button. Here is how the Angle of Rotation in Cn Axis calculation can be explained with given input values -> 18 = 2*pi/20.

### FAQ

What is Angle of Rotation in Cn Axis?
Angle of Rotation in Cn Axis formula is defined as the angle through which the rotation about the Axis in the molecule is calculated and is represented as Φ = 2*pi/nrotation axis or Angle of Rotation in Cn Axis = 2*pi/Order of Rotation Axis. Order of Rotation Axis in Cn Operation is a line in space about which an object may be rotated anticlockwise by 360°/n such that its initial and final positions are indistinguishable.
How to calculate Angle of Rotation in Cn Axis?
Angle of Rotation in Cn Axis formula is defined as the angle through which the rotation about the Axis in the molecule is calculated is calculated using Angle of Rotation in Cn Axis = 2*pi/Order of Rotation Axis. To calculate Angle of Rotation in Cn Axis, you need Order of Rotation Axis (nrotation axis). With our tool, you need to enter the respective value for Order of Rotation Axis 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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