Tetragonal: S₄ (−4) - Products

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Representation Products:

⊗	A	B	E
A	A	B	E
B	B	A	E
E	E	E	2A+2B

Transition Products:

For the S₄ point group, the irreducible representation of the dipole operator is B+E. Transitions that are dipole forbidden are indicated by parentheses.

⊗(B+E)⊗	A	B	E
A	(B+E)	A+E	2A+2B+E
B	A+E	(B+E)	2A+2B+E
E	2A+2B+E	2A+2B+E	2A+2B+4E

• S₄ character table
• S₄ correlation table