Reduction Formula

Free

1.0for iPhone

Thomas Sheridan

Developer

Sep 18, 2015

Update Date

Education

Category

App Store

Age Rating

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Apps in this category may contain mild or occasional cartoon, fantasy or real-life violence, as well as occasional or mild adult, sexually suggestive or horrifying content and may not be suitable for children under 9 years of age.

12+

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17+

You must be at least 17 years old to access this App.

Apps in this category may contain frequent and intense offensive language; Frequent and intense cartoon, fantasy or realistic violence: frequent and intense adult, scary and sexually suggestive subjects: as well as sexual content, nudity, tobacco, alcohol and drugs, may not be suitable for children under 17 years of age.

Reduction Formula Screenshots

iPhone

About Reduction Formula

The reduction formula, the vital, simple, but painfully long-winded calculation that is taught in all physical chemistry (and related areas) group theory courses, and provides insight into IR spectra and much more besides. Here it is shown below:

n(Γ) = 1/h Σ χ(r) ∙ χ(i) ∙ N

where:

n(Γ) - is the number of times a given reducible representation, Γ, occurs in the sum.

h - is the order of the group (i.e. the number of symmetry operations in the group, not just the number of classes)

χ(r) - is the character in the reducible representation

χ(i) - is the character in the irreducible representation

N - is the number of symmetry operations in a given class

If you've been through such a course you will appreciate that getting an answer out of this can take a little more time than you'd like, and if you are going through such a course you'll often find practice problems without answers you can check against your own.

This app solves these issues. Simply select the point group, type in the reducible representation you have worked out, and the app will reduce it for you.

And all for free, how lovely.