CHAPTER 6: Question 4

 

Simple Answers

 
All molecules contain the symmetry element E
There is a C3 axis as shown in the diagram below
There are three s's, each of which is defined by the C3 axis and one of the NH bonds

The point group is C3v
 
 
C3v E C31 C32 s s' s"
E
E
C31
C32
s
s'
s"
C31
C31
C32
E
s"
s
s'
C32
C32
E
C31
s'
s"
s
s
s
s'
s"
E
C31
C32
s'
s'
s"
s
C32
E
C31
s"
s"
s
s'
C31
C32
E
 

The relationship PQ = QP is only true if either P or Q = E, or if P and Q are C31 and C32

E, s, s', and s" are their own inverses
The inverse of C31 is C32, and the inverse of C32 is C31
 

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