probset5_11

probset5_11 - Chemistry 21b Problem set # 5 Out: 09...

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Unformatted text preview: Chemistry 21b Problem set # 5 Out: 09 February 2011 Due: 16 February 2011 The problems are worth: 1=30 (5 each for a,b,d,e; 10 for c); 2=40 (15 each for a,b, 10 for c); 3=30 (10 each for a,b,c) H H H H B B H H x z y 1. Consider the molecule diborane, with the axes set up as shown in the drawing above (i.e. the out-of-plane hydrogens are on the x-axis, with the B atoms and the outer four hydrogens defining the yz-plane): a). Identify the symmetry elements and assign the point group. What size should the character table be and why? b). Write the 3 3 matrix representations of each of the symmetry operations of the group and the product of each matrix with the column vector x y z c). Using the matrices from b ) . , determine the characters for the irreducible representations x , y , and z ; and from these construct the characters for the irreducible representations of xy , xz , and yz . Are these distinct and orthogonal?...
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This note was uploaded on 01/03/2012 for the course CH 21b taught by Professor List during the Fall '10 term at Caltech.

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probset5_11 - Chemistry 21b Problem set # 5 Out: 09...

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