Symmetry and Group heory

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Presentation transcript:

Symmetry and Group heory Chapter4 Symmetry and Group heory 書P.81

FIGURE 4.1 Examples of Symmetry.

書P.86

書P.83 FIGURE 4.2 Rotations The Cross section of the tobacco mosaic virus is a cover diagram from Nature,1976,259.c1976,Macmillan Journals Ltd.Reproduced with permission of Aaron Klug .

書P.89

書P.84 FIGURE 4.3 Reflections.

書P.84 FIGURE 4.3-1

書P.84 FIGURE 4.3-2

書P.90

書P.84 FIGURE 4.4 Inversion .

書P.93-P.95

書P.93 FIGURE 4.4-TABLE-1

書P.94 FIGURE 4.4-TABLE-2

書P.95 FIGURE 4.4-TABLE-3

FIGURE 4.5 Figures(a)With and (b) Without Inversion Centers. 書P.85 FIGURE 4.5 Figures(a)With and (b) Without Inversion Centers.

書P.85 FIGURE 4.5-1

書P.85 FIGURE 4.5-2

書P.96

FIGURE 4.6 Improper Rotation or Rotation-Reflection.

書P.98

FIGURE 4.7 Diagram of the Point Group Assignment Method.

書P.103

aen=ethylenediamine=NH2CH2CH2NH2,represented by N︵N. FIGURE 4.8 Molecules to be Assigned to Point Groups. aen=ethylenediamine=NH2CH2CH2NH2,represented by N︵N.

書P.104

書P.91 FIGURE 4.9 Rotation Axes.

書P.106

FIGURE 4.10 Perpendicular C2 Axes.

書P.110

FIGURE 4.11 Horizontal Mirror Planes.

書P.112

FIGURE 4.12 Vertical or Dihedral Mirror Planes or S2n Axes.

書P.112

FIGURE 4.13 W〔N(CH3)2〕6,a Molecule with Th Symmetry. 書P.97 FIGURE 4.13 W〔N(CH3)2〕6,a Molecule with Th Symmetry.

書P.114

FIGURE 4.14 Symmetry Operations for Ammonia. (Top view) NH3 is of point group C3v,with the symmetry operations E, C3,C32, σv, σ v ’,and σ v” usually written as E,2C3 and 3σ v (note that C33 ≡ E).

FIGURE 4.15 Symmetry Operations of the Water Molecule.

FIGURE 4.16 Effect of Rotation on Coordinates of a Point.

FIGURE 4.17 Orbitals and Representations.

FIGURE 4.18 A Chiral Molecule and Other Chiral Objects. 書P.108 FIGURE 4.18 A Chiral Molecule and Other Chiral Objects.

FIGURE 4.19 Rotation of Plane-Polarized Light.

FIGURE 4.20 Chiral Isomers of 〔Ru(NH2CH2CH2NH2)3〕2+. 書P.109 FIGURE 4.20 Chiral Isomers of 〔Ru(NH2CH2CH2NH2)3〕2+.

FIGURE 4.21 A Set of Axes for the Water Molecule. 書P.109 FIGURE 4.21 A Set of Axes for the Water Molecule.

FIGURE 4.22 Coordinate Axes for XeF4. 書P.112 FIGURE 4.22 Coordinate Axes for XeF4.

FIGURE 4.23 Translational Modes of XeF4. 書P.113 FIGURE 4.23 Translational Modes of XeF4.

FIGURE 4.24 Rotational Modes of XeF4. 書P.114 FIGURE 4.24 Rotational Modes of XeF4.

FIGURE 4.25 Selected Vibrational Modes of XeF4. 書P.114 FIGURE 4.25 Selected Vibrational Modes of XeF4.

書P.117 FIGURE 4.26 Carbonyl Stretching Vibrations of cis-and trans-Dicarbonyl Square Planar Complexes.

FIGURE 4.27 Symmetry Operations and Characters for cis-ML2(CO)2.