Water belongs to the C2v point group with the symmetry elements shown below: Ov Ov, C2 Along with the identity operator, E, these elements lead to all the operations of the group. Explain what is meant by a closed group, and show that the C2v point group is closed by drawing up a complete multiplication table. You should explain each result in the table using either algebraic arguments or illustrating the compound operation.

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Water belongs to the C2v point group with the symmetry elements shown
below:
Ov
Ov
2
C2
Along with the identity operator, E, these elements lead to all the operations
of the group.
Explain what is meant by a closed group, and show that the C2v point group is
closed by drawing up a complete multiplication table. You should explain each
result in the table using either algebraic arguments or illustrating the
compound operation.
Transcribed Image Text:Water belongs to the C2v point group with the symmetry elements shown below: Ov Ov 2 C2 Along with the identity operator, E, these elements lead to all the operations of the group. Explain what is meant by a closed group, and show that the C2v point group is closed by drawing up a complete multiplication table. You should explain each result in the table using either algebraic arguments or illustrating the compound operation.
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