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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.

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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3. Fill out the partial C₂ character table below in five easy steps: C2h E [₁ [₂ T3 Г4 Oh 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 I4 using the rules discussed in class. E. Assign proper Mulliken symbols to each irreducible representation. F. Assign the linear (R. Ry, Rz, x, y, and z) functions to the appropriate irreducible representations.
Transcribed Image Text:3. Fill out the partial C₂ character table below in five easy steps: C2h E [₁ [₂ T3 Г4 Oh 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 I4 using the rules discussed in class. E. Assign proper Mulliken symbols to each irreducible representation. F. Assign the linear (R. Ry, Rz, x, y, and z) functions to the appropriate irreducible representations.
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