3. Fill out the partial C₂ character table below in five easy steps: C2h Г1 [2 T3 T4 E A. Fill in the remaining symmetry operations of the C₂ point group (E and on are provided). B. Write out 3 x 3 matrix representations for these operations using the standard Cartesian coordinates with the z-axis coincident with the C₂ axis. You should arrive at a set of block diagonalized matrices, each of which you can decompose in your head as three 1 x 1 irreducible representations. C. From these matrices, you can use two of their blocks to write out I and I2. Why can you not write out I3 from the third blocks in this instance? D. Generate I; and I, using the rules discussed in class. E. Assign proper Mulliken symbols to each irreducible representation. F. Assign the linear (R. Ry, R₂, x, y, and z) functions to the appropriate irreducible representations.

3. Fill out the partial C₂ character table below in five easy steps: C2h Г1 [2 T3 T4 E A. Fill in the remaining symmetry operations of the C₂ point group (E and on are provided). B. Write out 3 x 3 matrix representations for these operations using the standard Cartesian coordinates with the z-axis coincident with the C₂ axis. You should arrive at a set of block diagonalized matrices, each of which you can decompose in your head as three 1 x 1 irreducible representations. C. From these matrices, you can use two of their blocks to write out I and I2. Why can you not write out I3 from the third blocks in this instance? D. Generate I; and I, using the rules discussed in class. E. Assign proper Mulliken symbols to each irreducible representation. F. Assign the linear (R. Ry, R₂, x, y, and z) functions to the appropriate irreducible representations.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter13: Introduction To Symmetry In Quantum Mechanics

Section: Chapter Questions

Problem 13.3E: Identify the symmetry elements present in the following objects. a The Eiffel Tower. You may have to...

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Similar questions

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