## 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 - Trigonometric cosine function, 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 <-- Character of Sn Matrix
(Calculation completed in 00.000 seconds)
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## Credits

Created by Pracheta Trivedi
National Institute Of Technology Warangal (NITW), Warangal
Pracheta Trivedi has created this Calculator and 25+ more calculators!
Verified by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
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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

## 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. Let Others Know