Consider a trigonal bipyramidal molecule Fe(CO)5. please answer all thank you with all your reasinings from the basics  (ii) How many normal modes and how many CO stretching vibrations belong this molecule possesses including which point group does it belong to? (iii) Determine the irreducible representations of CO stretching vibrations of a Fe(CO)5 molecule. Clearly show all your work. (iv) Which of the stretching vibrations of a Fe(CO)5 molecule are active in IR and which in Raman spectra? Justify your choice.

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter20: Molecular Spectroscopy And Photochemistry
Section: Chapter Questions
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Consider a trigonal bipyramidal molecule Fe(CO)5. please answer all thank you with all your reasinings from the basics 

(ii) How many normal modes and how many CO stretching vibrations belong this molecule possesses including which point group does it belong to?

(iii) Determine the irreducible representations of CO stretching vibrations of a Fe(CO)5 molecule. Clearly show all your work.

(iv) Which of the stretching vibrations of a Fe(CO)5 molecule are active in IR and which in Raman spectra? Justify your choice. 

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