Naphthalene, C₁0H8 (shown at right) can be simplified by constructing SALC-AOs to serve as a basis. If we set the molecular plane to be the xy-plane, then the л-system is built from the 2pz orbitals on each carbon. Naphthalene is in the D2h point group and a table is provided at the end of the problem set showing all the symmetry operations on the 2pz orbitals. D2h Ag B1g B2g B3g Au В 14 B₂u B3u E 1 1 1 1 1 1 1 1 C2(z) C2(y) C₂(x) i 1 1 1 1 1 -1 1 -1 −1 1 -1 -1 1 1 1 1 1 1 -1 -1 -1 1 -1 -1 -1 -1 ܝܕ (a) Upon examining the symmetry transformations of the ten 2pz orbitals in naphthalene, one would find that they are the basis for the reducible representation given by Ê Ĉ₂(z) Ĉ₂(y) Ĉ₂ (x) î ô(xy) ô(xz) ô(yz) -2 0 0 -10 0 2 Fred (2pz) = 10 0 Reduce this representation into its irreducible representations using the D2h character table provided here. ܝ -1 ܝ ܝ ܝ ܝܕ -1 -1 o(xy) o(xz) 1 1 1 -1 -1 -1 -1 -1 -1 1 1 -1 1 1 177 2 -1 3 4 10 o(yz) 1 -1 -1 1 -1 1 1 -1 8 5 7 6 X

Naphthalene, C₁0H8 (shown at right) can be simplified by constructing SALC-AOs to serve as a basis. If we set the molecular plane to be the xy-plane, then the л-system is built from the 2pz orbitals on each carbon. Naphthalene is in the D2h point group and a table is provided at the end of the problem set showing all the symmetry operations on the 2pz orbitals. D2h Ag B1g B2g B3g Au В 14 B₂u B3u E 1 1 1 1 1 1 1 1 C2(z) C2(y) C₂(x) i 1 1 1 1 1 -1 1 -1 −1 1 -1 -1 1 1 1 1 1 1 -1 -1 -1 1 -1 -1 -1 -1 ܝܕ (a) Upon examining the symmetry transformations of the ten 2pz orbitals in naphthalene, one would find that they are the basis for the reducible representation given by Ê Ĉ₂(z) Ĉ₂(y) Ĉ₂ (x) î ô(xy) ô(xz) ô(yz) -2 0 0 -10 0 2 Fred (2pz) = 10 0 Reduce this representation into its irreducible representations using the D2h character table provided here. ܝ -1 ܝ ܝ ܝ ܝܕ -1 -1 o(xy) o(xz) 1 1 1 -1 -1 -1 -1 -1 -1 1 1 -1 1 1 177 2 -1 3 4 10 o(yz) 1 -1 -1 1 -1 1 1 -1 8 5 7 6 X

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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