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4. 24 points I Previous Answers The effective vibrational force constant of CN i

ID: 1770350 • Letter: 4

Question

4. 24 points I Previous Answers The effective vibrational force constant of CN is 1.456 x 104 ev/nm2 (a) Relative to the ground state, find the energies of the first and second excited vibrational states (this means find E1 EO and E2 EO) first excited state 307 second excited state .614 (b) In ionized CN+ the force constant is weaker by 3.95%, what would be the energies of the first and second excited states in CN+ (again, relative to the ground state)? first excited state second excited state x ev

Explanation / Answer

part b )

decreased by 3.95% or 0.9605 factor which proportional to sqrt(k)

k = sqrt(0.9605) = 0.98

E1' = 0.98 x E = 0.98 x 0.307 = 0.300 eV

E2' = 2E1' = 0.602 eV

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