3) Reduce the following representations into its corresponding reducible representations: a) Under Czv symmetry: T = 9 -1 1 3 b) Under Dzd symmetry: T, = 13 -1 -3 5 -1 c) Under D3h symmetry: r,= 7 1 -3 -1 -1 1 %3D
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- In your own words, explain why an object that has more symmetry elements is said to have higher symmetry than an object with fewer symmetry elements.The complete set of symmetry elements in CHC13 are: Select one: O E, C3, 30y O Ca, 30y S3 O E, C3, 30h E, C3, 3C2, 30y Clear my choice FINISShow by means of labels, drawings, and atom position change, the following symmetry operations A C4 rotation (use clockwise rotation) followed by an inversion on square planar [PtCl4]2- A rotation about a Cz axis that is perpendicular to the C4 principal axis on square planar [PtCl4]2- How many planes of symmetry does square planar [PtCl4]2- have? Identify them on the drawing. Label as appropriate σh , σv
- Treating the sigma bonds in boron trifluoride, BF3 as vectors, the following reducible representation were D3h E 2C3 3C2 on 253 30 v Tred 3 1 3 To what symmetry representation labels does this reduces to? D E 2C3 3C2 253 30, * + y°. z? A,' 1 1 A2' 1 -1 1 1 -1 R. E' 2 (х, у) (x² – y², xy) A," 1 1 -1 -1 A," 1 1 -1 -1 -1 (R, R,) (xz, yz) E" -1 -2 1 O 2'+E' O 2A1'+ A2' A1" + E" O A1'+ E' O Aj' +E" 2.13+ M-D -A y A b) Given the following symmetry related linear combinations (SALC's) of the 2p-orbitals on the Cl atoms illustrated below, determine their characters to the symmetry operations of D2h and their overall symmetry. Use extra pages as necessary. y FB Pd FA- B For the upper left SALC: D₂h UpLft | E M X E B For the upper right SALC: D2h- UpRt I B C₂(z) C₂(y) C₂(x) i 1 41 RNITINE FB-Pd-FAX C₂(z) C₂(y) C₂(x) i -1 1 -1 41 TER (z-axis is also directed toward you) B o(xy) o(xz) o(yz) A o(xy) o(xz) (yz)5. Find all the symmetry elements in H2O and derive its character table (Assume the bases are linear, quadratic functions and rotations; x, y, z, x', y, 2, xy, xz, yz, Rr, Ry, Rz) 6. Find all the symmetry elements in NH; and derive its character table also. 7. (1) Using the x, y, and z coordinates for each atom in XeF4, determine the reducible representation for all molecular motions (2) And reduce this representation to its irreducible components (3) And classify these representations into translational, rotational, and vibrational modes. 8. (1) Using the x, y, and z coordinates for each atom in H20, determine the reducible representation for all molecular motions. (2) And reduce this representation to its irreducible components. 9. (1) Classify these representations of H20 into a translational, rotational, and vibrational mode. (2) Do they have a temporary or permanent dipole moment? Please explain it based on the derived modes. 10. (1) Write the corresponding 9 x 9 transformation…
- CITE ALL ELEMENTS OF SYMMETRY PRESENT IN THE MOLECULES BELOW AND DEFINE THE POINT OROUP OF EACH ONE, CONSIDER THE FLAT MOLECULES a) S02 b) Cs HS DESCRIBE THESYMMETRY oF THE SPECIAL GROUPS a) P6/M MM 6) IM -3 M c) PI d)F-4 3 MTake the four hydrogen 1s orbitals of CH4 and determine how they transform under Td. b) Confirm that it is possible to reduce this representation to A1 + T2. c) With which atomic orbitals on C would it be possible to form MOs with H1s SALCs of symmetry A1 + T2?Please help Orbital and SALC symmetry Methane CH4 --- Point group = Td E, 8C3, 3C2, 6S4, 6σd I. What are the symmetries of the relevant orbital on C? II. What are the symmetries of the SALCs generated from the hydrogen orbitals? III. Use parts I and II to draw an MO diagram for CH4 IV. Use your MO diagram to sketch your prediction of the photoelectron spectrum for CH4
- What is the symmetry of an F free-ion term placed in D4h point symmetry? O 2E + T2 O A2+ B1 + B2 + E A2+ B1 + B2 + 2E O A1+ 2A2 + 2E4. Allene, C3H4, has point group symmetry Dzd, with character table provided below. It can be embedded in a rectangular prism as shown, with Cartesian axes as defined here. C₂A Dzd E 254 Cz 2C₂' 20d A1 1 1 1 1 1 1H- Az 1 1 1 -1 -1 H S4 C C= C B1 1 -1 1 1 -1 H Z B₂ 1 -1 1 -1 1 4 2H E 2 0 -200 (a) Consider the four 1s orbitals on the hydrogen atoms of allene (numbered as shown). The symmetry transformations of these functions are shown on the table below with two of the symmetry operations omitted. Find the results for the two missing sets of results (shaded red) and complete the table. Here, |;) = |1s;) (the 1s orbital on atom Hi). (Note that the two C₂' axes from the character table have been labeled C₂ and C₂", and the σd' plane contains the z-axis, H1 and Hz, while the σd" plane contains the z-axis, H3 and H4.) R = Ê SA S₁³ Cz C₂' C₂" 8d8d" Ŕ$1 Φι Фэ ΦΑ $2 ΦΑ Φι Ŕ$2 $2 Фа $3 Φι $3 Фг Ŕ$3 $3 Фг Φι ΦΑ Фг ΦΑ Ŕ4 $4 Φι Фг Фз Φι Фэ (b) Find the reducible representation for the symmetry…2) Consider the character table for ammonia (C3v). E 2C3 (2) 30v linear, rotations quadratic A₁ 1 1 1 Z x²+y², z² Az 1 1 -1 E 2 Rz 0 (x, y) (Rx, Ry) (x²-y², xy) (xz, yz) The total reducible representation is: Пtot 3A1+1A2 + 8E a) How many vibrations are expected for ammonia?