5. Find all the symmetry elements in H2O and derive its character table (Assume the bases are lincar, quadratic functions and rotations; x, y, z, x', y, 2, xy, xz, yz, Rr, Ry, Rz)

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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 matrices for the C2, o, (xz) and o, (vz)
operations in water and (2) show their Jordan matrices having a similarity.
Transcribed Image Text: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 matrices for the C2, o, (xz) and o, (vz) operations in water and (2) show their Jordan matrices having a similarity.
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