(a) Determine the irreducible representations for ammonia (a Cav group molecule), using the sigma molecular orbital basis (SN, SH1, SH2, SH3), that spans the given basis. (b) Calculate the total number of normal modes for NH3. (c) Calculate the number of normal modes of vibration of NH3. (d) Calculate the reducible characters of the Cartesian presentation of NH3. (e) Determine the symmetry of all the normal modes for ammonia irreducible representations. as a sum of (f) Determine the symmetry of all the normal modes for vibrations. (g) State, with motivation, which of these vibrations are infrared active.

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From (d) please 

(a) Determine the irreducible representations for ammonia (a Cav group molecule),
using the sigma molecular orbital basis (SN, SH1, SH2, SH3), that spans the given
basis.
(b) Calculate the total number of normal modes for NH3.
(c) Calculate the number of normal modes of vibration of NH3.
(d) Calculate the reducible characters of the Cartesian presentation of NH3.
(e) Determine the symmetry of all the normal modes for ammonia
irreducible representations.
as a
sum of
(f) Determine the symmetry of all the normal modes for vibrations.
(g) State, with motivation, which of these vibrations are infrared active.
Transcribed Image Text:(a) Determine the irreducible representations for ammonia (a Cav group molecule), using the sigma molecular orbital basis (SN, SH1, SH2, SH3), that spans the given basis. (b) Calculate the total number of normal modes for NH3. (c) Calculate the number of normal modes of vibration of NH3. (d) Calculate the reducible characters of the Cartesian presentation of NH3. (e) Determine the symmetry of all the normal modes for ammonia irreducible representations. as a sum of (f) Determine the symmetry of all the normal modes for vibrations. (g) State, with motivation, which of these vibrations are infrared active.
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