## Character of Sn Matrix Solution

STEP 0: Pre-Calculation Summary
Formula Used
Character of Sn Matrix = 2*cos(Theta)-1
χ = 2*cos(θ)-1
This formula uses 1 Functions, 2 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Character of Sn Matrix - Character of Sn Matrix is the sum of diagonal elements in the Matrix.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
STEP 1: Convert Input(s) to Base Unit
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
χ = 2*cos(θ)-1 --> 2*cos(0.5235987755982)-1
Evaluating ... ...
χ = 0.732050807568877
STEP 3: Convert Result to Output's Unit
0.732050807568877 --> No Conversion Required
0.732050807568877 0.732051 <-- Character of Sn Matrix
(Calculation completed in 00.004 seconds)
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## Credits

Created by Pracheta Trivedi
National Institute Of Technology Warangal (NITW), Warangal
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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

## Character of Sn Matrix Formula

Character of Sn Matrix = 2*cos(Theta)-1
χ = 2*cos(θ)-1

## What is Matrix of Improper Rotation?

Improper rotation matrix is a product of a proper rotation by an angle θ about some axis n and a mirror reflection through a plane that passes through the origin and is perpendicular to n.

## How to Calculate Character of Sn Matrix?

Character of Sn Matrix calculator uses Character of Sn Matrix = 2*cos(Theta)-1 to calculate the Character of Sn Matrix, Character Of Sn Matrix is the sum of diagonal elements in the character table. The character of the matrices corresponding to the symmetry operations. Character of Sn Matrix is denoted by χ symbol.

How to calculate Character of Sn Matrix using this online calculator? To use this online calculator for Character of Sn Matrix, enter Theta (θ) and hit the calculate button. Here is how the Character of Sn Matrix calculation can be explained with given input values -> 0.732051 = 2*cos(0.5235987755982)-1.

### FAQ

What is Character of Sn Matrix?
Character Of Sn Matrix is the sum of diagonal elements in the character table. The character of the matrices corresponding to the symmetry operations and is represented as χ = 2*cos(θ)-1 or Character of Sn Matrix = 2*cos(Theta)-1. Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
How to calculate Character of Sn Matrix?
Character Of Sn Matrix is the sum of diagonal elements in the character table. The character of the matrices corresponding to the symmetry operations is calculated using Character of Sn Matrix = 2*cos(Theta)-1. To calculate Character of Sn Matrix, you need Theta (θ). With our tool, you need to enter the respective value for Theta 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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