W2013CHM2311 Part 3b Notes(1)

W2013CHM2311 Part 3b Notes(1)

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Unformatted text preview: The results should be consistent with the C2v character table. Other Transforma0ons of Oxygen pz- Orbital in Water Opera?on Visualiza?on of Effect on Orbitals z E H z y O E H x H y O H x z σv (xz) H O x z y σ(xz) H y H O H x z z x σv (yz) H O x y H σ(yz) H O y H Character Transforma0on of pz- Orbital The results are consistent with what we see from the character table for the C2v point group. C2v E C2 σv (xz) σv’ (yz) A1 1 1 1 1 z x2, y2, z2 A2 1 1 -1 -1 Rz xy B1 1 -1 1 -1 x, Ry xz B2 1 -1 -1 1 y, Rx yz The pz orbital is symmetric with respect to all of the symmetry opera0ons on the C2v point group. Transforma0on Proper0es of the py- Orbital of Oxygen in Water Opera0on Visualiza0on of Effect on Orbitals z z x C2 H y O C2 y H x O H H z σv (xz) H z y O y σ(xz) H x O H x z z x σv (yz) H O x y H σ(yz) H O y H H Character Transforma0on of py- Orbital The results are consistent with what we see from the character table for the C2v point group. C2v E C2 σv (xz) σv’ (yz) A1 1 1 1 1 z x2, y2, z2 A2 1 1 -1 -1 Rz xy B1 1 -1 1 -1 x, Ry xz B2 1 -1 -1 1 y, Rx yz The py orbital is symmetric with respect to E and σv(yz) and an0symmetric with respect to C2 and σv(xz). Transforma0on Proper0es of the px- Orbital of Oxygen in Water Opera0on Visualiza0on of Effect on Orbitals z C2 H z y O C2 y H x O H x z σv (xz) H O x z y σ(xz) H y O H H O x H x z σv (yz) H z y H σ(yz) H O x y H Character Transforma0on of px- Orbital The results are consistent with what we see from the character table for the C2v point group. C2v E C2 σv (xz) σv’ (yz) A1 1 1 1 1 z x2, y2, z2 A2 1 1 -1 -1 Rz xy B1 1 -1 1 -1 x, Ry xz B2 1 -1 -1 1 y, Rx yz The py orbital is symmetric with respect to E and σv(xz) and an0symmetric with respect to C2 and σv(yz). Transforma0on of s- Orbital There is no func0on in a character table corresponding to an s- orbital! C2v E C2 σv (xz) σv’ (yz) A1 1 1 1 1 z x2, y2, z2 A2 1 1 -1 -1 Rz xy B1 1 -1 1 -1 x, Ry xz B2 1 -1 -1 1 y, Rx yz An s- orbital on a central atom is always totally symmetric with respect to any opera0on. Therefore, it corresponds to the irreducible representa0on with all characters = 1. Transforma0ons on d- orbitals E C2 . No change ↳  symmetric ↳  1’s in table C2v E C2 σv (xz) σv’ (yz) A1 1 1 1 1 z x2, y2, z2 A2 1 1 -1 -1 Rz xy B1 1 -1 1 -1 x, Ry xz B2 1 -1 -1 1 y, Rx yz Transforma0ons on d- orbitals σv (xz) σv’ (yz) . Opposite ↳  an0symmetric ↳  - 1’s in table C2v E C2 σv (xz) σv’ (yz) A1 1 1 1 1 z x2, y2, z2 A2 1 1 -1 -1 Rz xy B1 1 -1 1 -1 x, Ry xz B2 1 -1 -1 1 y, Rx yz Prac0ce Exercise 1.  Determine...
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This note was uploaded on 03/28/2014 for the course CHM 2311 taught by Professor Richardson during the Winter '09 term at University of Ottawa.

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