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Direct product: e.g. B 1 B 2 = (1 -1 1 -1) (1 -1 -1 1) = (1 1 -1 -1) = A 2 PowerPoint Presentation
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Direct product: e.g. B 1 B 2 = (1 -1 1 -1) (1 -1 -1 1) = (1 1 -1 -1) = A 2

Direct product: e.g. B 1 B 2 = (1 -1 1 -1) (1 -1 -1 1) = (1 1 -1 -1) = A 2

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Direct product: e.g. B 1 B 2 = (1 -1 1 -1) (1 -1 -1 1) = (1 1 -1 -1) = A 2

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  1. Direct product: e.g. B1 B2 = (1 -1 1 -1) (1 -1 -1 1) = (1 1 -1 -1) = A2

  2. Two-dimensional representations

  3. Constructing molecular orbital diagrams A1 B2 B1

  4. Only atoms left in place need to be considered. Vectors left unchanged contribute 1 to the character Vectors transformed into their opposite contribute -1 Vectors transformed into other vectors contribute 0

  5. Application of the projection formula: construction of normal modes example