Character of Sn Matrix Calculator

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✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]

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✖Character of Sn Matrix is the sum of diagonal elements in the Matrix.ⓘ Character of Sn Matrix [χ]

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Formula

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Character of Sn Matrix

Formula

`"χ" = 2*cos("θ")-1`

Example

`"0.732051"=2*cos("30°")-1`

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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

FINAL ANSWER

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

Soupayan banerjee has verified this Calculator and 400+ more calculators!

< 10+ Group Theory Calculators

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Go 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

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

Order of Rotation Axis in Cn Operation

Go Order of Rotation Axis = (2*pi)/Theta

Character of Cn Matrix

Go Character of Cn Matrix = 2*cos(Theta)+1

Character of Sn Matrix

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

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 Cnv Point Group

Go Order of Cnv Point Group = 2*Principal Axis

Order of Dnd Point Group

Go Order of Dnd Point Group = 4*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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