1. Given that the vibrational wavenumber of C-N is 1100 cm1, and the bond length

Question

1. Given that the vibrational wavenumber of C-N is 1100 cm1, and the bond length is 1.49 A: Calculate the bond strength (k) with final units of N/m (remember to convert wavenumber to frequency) a. b. Calculate the energy at the n=0 level. c. Calculate the potential energy when the atoms are 1.1 À apart. 2. Calculate the energies for the Bohr orbits with n 2 and n 3 for atomic hydrogen. 3. For a helium cation (1 electron, 2 protons) in the lowest energy form: a. What orbital is the electron in? b. What are the quantum numbers equal to? How many nodes are there? c. What is the equation for the wavefunction? d. What is the potential energy equal to? (your answer will be in terms of r) e. What is the energy, assuming RHe 2RH? f. Write out the complete Shrödinger equation. (don't solve) g. Can this be solved? Explain

Explanation / Answer

2.

Bohr energy for hydrogen is given as

E = - 13.6/n2

for n = 1

E = - 13.6/(1)2 = - 13.6 eV

for n = 2

E = - 13.6/(2)2 = - 3.4 eV

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