Question

In: Chemistry

1. How many vibrational modes do the following molecules or ions possess? [ Hints: Lewis structure...

1. How many vibrational modes do the following molecules or ions possess? [ Hints: Lewis structure may be helpful]

(a) NH₃

(b) CO₂

(C) C₂H₆

(d) NO₂^-

Expert Solution

Answer:

a) NH₃ : (C_3V point group)

Ammonia is the Non linear molecule for this vibrational modes = 3N - 6

N = number of atoms

= 3 x 3-6

= 9-6

= 3

-N-H symmetric streching 3534 cm^-1

-N-H Assymetric streching 3464 cm^-1

b) CO₂ :

It is the linear molecule

Vibrational modes = 3N - 5 N = number of atoms

= 3 x 3 - 5

= 4

-C-O Assymetric streching 2565 cm^-1

-C-O symetric streching 1480 cm^-1

c) C₆H₆: (D_6h point group)

Planar molecule

Vibrational modes = 3N - 6 N =12

= 3 x 12 - 6

= 36 - 6

= 30

NO₂^- :

Non linear molecule

= 3N - 6 N = 3

= 3 x 3 - 6

= 9-6

= 3

queen_honey_blossom answered 2 years ago

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