Determine which single symmetry operation of the following point groups is equivalent to the given combination of multiple symmetry operations. (a) In
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Physical Chemistry
- Identify the symmetry elements present in the following objects. a The Eiffel Tower. You may have to look up a picture of it if you dont remember its shape b Any book ignore the printing. c An octagonal wood block. d A jack from the set of jacks pictured here: Note that some of the points end differently.arrow_forwardPCl3 belong to C3V point group ? (b) Write down the totally symmetric representation of the point group of PCl3. (c) What is a symmetry-adapted linear combination of atomic orbitals? (d) Construct a linear-combination of 3s(Cl) atomic orbitals, ?1, such that ?1 belongs to the totally symmetric representation of the point group of PCl3. (e) Construct a linear-combination of 3p(Cl) atomic orbitals, ?2, such that ?2 belongs to the totally symmetric representation of the point group of PCl3.arrow_forward(a) Identify the principal (z) rotational axis for all molecules provided below. (b) Provide a complete list of symmetry operations for each of the following molecules. (c) Which molecules posses identical sets of symmetry operations? C Me Me Me Me Me ÇI HN FoNH H3N CI NH3 NO CO Fo CO co Fo CO co OC ON čo čoarrow_forward
- 4. (a) Identify the principal (z) rotational axis for all molecules provided below. (b) Provide a complete list of symmetry operations for each of the following molecules. (c) Which molecules posses identical sets of symmetry operations? Me Me Me Me H3N NH3 NO Oc-FeCO ON-F COarrow_forwardDraw the shape of the [XeFs] ion and answer the questions below: (i) List the symmetry elements and the symmetry operations of the [XEF5] ion. (ii) What is the point group of the [XeF5] ion? What is the order of the point group of the [XeFs] ion? (iii) Using the [XeF5] as an example, show that C" = E.arrow_forwardConsider the molecule CH3Cl. (a) To what point group does the molecule belong? (b) How many normal modes of vibration does the molecule have? (c) What are the symmetry species of the normal modes of vibration of this molecule? (d) Which of the vibrational modes of this molecule are infrared active? (e) Which of the vibrational modes of this molecule are Raman active?arrow_forward
- (a) Identify the symmetry elements in ethene and in allene, and assign each molecule to a point group. (b) Consider the biphenyl molecule, Ph–Ph, in which different conformations are possible according to the value of the dihedral angle between the planes of the two benzene rings: if this angle is 0°, the molecule is planar, if it is 90°, the two rings are perpendicular to one another. For each of the following dihedral angles, identify the symmetry elements present and hence assign the point group: (i) 0°, (ii) 90°, (iii) 45°, (iv) 60°.arrow_forwardWhat is the point group of the molecule SOF4 (S is the central atom)?arrow_forwardWhat are the symmetry elements of C4H8 assuming CH3 is spherical?arrow_forward
- Draw the shape of the [XeF5]- ion and answer the questions below: (i) List the symmetry elements and the symmetry operations of the [XeF5]- ion. (ii) What is the point group of the [XeF5]- ion? What is the order of the point group of the [XeF5]- ion? (iii) Using the [XeF5]- as an example, show that Cnn ≡ E.arrow_forwardP10C.8 Consider the molecule F2C=CF2 (point group D2h), and take it as lying in the xy-plane, with x directed along the C–C bond. (a) Consider a basis formed from the four 2pz orbitals from the fluorine atoms: show that the basis spans B1u, B2g, B3g, and Au. (b) By applying the projection formula to one of the 2pz orbitals, generate the SALCs with the indicated symmetries. (c) Repeat the process for a basis formed from four 2px orbitals (the symmetry species will be different from those for 2pz).arrow_forwardB) Identify all the elements of symmetry of IrCl(CO) [P(C6H5)3]2 and the point group assignment. PPH3 B CI- C=O Ph3Parrow_forward
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