[GAP Forum] Re: icosahedral group question

[Rudolf Zlabinger]

Dear Walter Becker,

At the first glance I understood, that you describe the Dodecahedron, beeing
the dual regular polyhedron of the icosahedron, therefore the rotation
symmetry for your "buckyball" is the icosahedral group, i was dealing with
in my messages. You can imagine it by replacing  the 12 vertices of the
icosahedron by the 12 pentagons of your "buckyball".

best regards, Rudolf Zlabinger





----- Original Message ----- 
From: "Walter Becker" <w_becker at hotmail.com>
To: <Rudolf.Zlabinger at chello.at>
Sent: Sunday, May 14, 2006 6:14 PM
Subject: icosahedral group question



dear Dr. Zlabinger:

You have been asking and getting several responses to questions dealing
withy the icosahedral group on the GAP forum. Do you have any interest or
knowledge about the uses of GAP in determining the symmetry adapted basis
functions that are used in various areas of chemistry and physics?  Here I
am esecially interested in using GAP as a method or tool in calculating
them--especially for teh higher order point groups e.g., the icosahedral
one. The applicarion of interest here is to the buckyball systems which
involve five-fold symmetres but the geometrical structure is a truncated
icosahedran--ie, take each vertex of the icosahedron and pass a plane betwen
it and the next series of vertices ---essentially converting each vertex in
five new vertices. The group for te buckyball is this 60 vertex object and
its vibratonsare determined by this point group.


Comments on interest ?????

I can give some references as to where the calclations are reported but not
much in the nitty-gritty details are gven ie computer routines or projection
operators used in the work.

Walter Becker