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Angle of Rotation in Cn Axis Calculator

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✖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.ⓘ Order of Rotation Axis [n_{rotation axis}]

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✖Angle of Rotation in Cn Axis is defined as is the angle through which we carry out the rotation about the Axis.ⓘ Angle of Rotation in Cn Axis [Φ]

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Formula

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Angle of Rotation in Cn Axis

Formula

Φ = 2 \cdot \frac{π}{n rotation axis}

Example

18 ° = 2 \cdot \frac{π}{20}

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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/n_{rotation 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/n_{rotation 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)

FINAL ANSWER

18.0000000000034 ≈ 18 Degree <-- Angle of Rotation in Cn Axis

(Calculation completed in 00.004 seconds)

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< Group Theory Calculators

Angle of Rotation in Cn Axis

Go Angle of Rotation in Cn Axis = 2*pi/Order of Rotation Axis

Order of Dnh Point Group

Go Order of Dnh Point Group = 4*Principal Axis

Order of Cnh Point Group

Go Order of Cnh Point Group = 2*Principal Axis

Order of Dn Point Group

Go 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/n_{rotation 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 (n_{rotation axis}) and hit the calculate button. Here is how the Angle of Rotation in Cn Axis calculation can be explained with given input values -> 1031.324 = 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/n_{rotation 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 (n_{rotation 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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