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Problem 19

Assign a point group to each member in the series (a) \(\mathrm{CCl}_{4}\) (b) \(\mathrm{CCl}_{3} \mathrm{F}\) (c) \(\mathrm{CCl}_{2} \mathrm{F}_{2}\) (d) \(\mathrm{CClF}_{3}\) and (e) \(\mathrm{CF}_{4}\)

Problem 20

(a) Deduce the point group of \(\mathrm{SF}_{4}\). (b) Is \(\mathrm{SOF}_{4}\) in the same point group?

Problem 21

Which of the following point groups possesses the highest number of symmetry elements: (a) \(O_{\mathrm{h}} ;\) (b) \(T_{\mathrm{d}}\) (c) \(I_{\mathrm{h}} ?\)

Problem 22

Determine the number of degrees of vibrational freedom for each of the following: (a) \(\mathrm{SO}_{2} ;(\mathrm{b}) \mathrm{SiH}_{4} ;(\mathrm{c}) \mathrm{HCN}\) (d) \(\mathrm{H}_{2} \mathrm{O}\) ; (e) \(\mathrm{BF}_{3}\)

Problem 29

The IR spectra of salts of \(\left[\mathrm{AlF}_{6}\right]^{3}\left(O_{\mathrm{h}}\right)\) exhibit absorptions around 540 and \(570 \mathrm{cm}^{-1}\). Using a group theory approach, confirm that only one of these absorptions arises from a stretching mode.

Problem 30

The IR spectra of salts of \(\left[\mathrm{AlF}_{6}\right]^{3}\left(O_{\mathrm{h}}\right)\) exhibit absorptions around 540 and \(570 \mathrm{cm}^{-1}\). Using a group theory approach, confirm that only one of these absorptions arises from a stretching mode.

Problem 34

Explain what is meant by the terms (a) chiral; (b) enantiomer: (c) helical chain.

Problem 35

Confirm that the symmetry operation of (a) inversion is equivalent to an \(S_{2}\) improper rotation, and (b) reflection through a plane is equivalent to an \(S_{1}\) improper rotation. and then navigate to the Student 91Ó°ÊÓ site for Chapter 4 of the 3 rd edition of Inorganic Chemistry by Housecroft and Sharpe.

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