5. Given the following group multiplication table for the C4 point group C4 C4 C₂ C₁³ E E C4 C4 C4 C₂ S C₂ C₂³ C₂ C4³ E C₂ C₂³ C E C₁ C4³ E C4 C₂ By performing similarity transformations, show that C₂ is in a class of its own.

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Chapter1: Chemical Foundations
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5. Given the following group multiplication table for the C4 point group
C4
C4
C₂
C₁³
E
E
C4
C4
C4
C₂
S
C₂ C₂³
C
C₂
C₂
C4³
E
C₂³
C4³
(a) MX2, linear,
(b) MX2, bent
(c) MX3, trigonal planar
E
C4
E C₁
By performing similarity transformations, show that C4 is in a class of its own.
C₂
6. Consider the three p orbitals px, py, and p, which are degenerate for an
isolated atom M. If M is surrounded by several X atoms, the electrostatic
field they create may lift the degeneracy among the p orbitals. By consulting
the appropriate character table, describe the degree of degeneracy among
the p orbitals allowed by symmetry for each of the following structures:
Transcribed Image Text:5. Given the following group multiplication table for the C4 point group C4 C4 C₂ C₁³ E E C4 C4 C4 C₂ S C₂ C₂³ C C₂ C₂ C4³ E C₂³ C4³ (a) MX2, linear, (b) MX2, bent (c) MX3, trigonal planar E C4 E C₁ By performing similarity transformations, show that C4 is in a class of its own. C₂ 6. Consider the three p orbitals px, py, and p, which are degenerate for an isolated atom M. If M is surrounded by several X atoms, the electrostatic field they create may lift the degeneracy among the p orbitals. By consulting the appropriate character table, describe the degree of degeneracy among the p orbitals allowed by symmetry for each of the following structures:
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