barrier and that tunneling for heavier particles is less likely than for light particles. This is why tunneling usually is considered only for electrons, protons, and neutrons 7. I do not expect that you could carry off a full solution to the Schrodinger equation for the hydrogenic atom. However, I think you need to pay attention to a. How separations of variables leads to a radial and two angular second order differential equations b. How the boundary condition that o and o 2T are equivalent points in space produces the m quantum number c. How the I quantum number arises from the e equation d. How the condition that the radial wave function not"explode"(i.e, go to infinity)as he coordinate r becomes large gives rise to the equation for the energy e e. The fact that the angular parts of the wave functions are spherical harmonics, and that these are exactly the same wave functions for the rotational motion of a linear olecule f. How the energy E depends on the n quantum number as n and on the nuclear charge Z as Z, and that the bound state energies are negative( do you understand what this means? That is, what is the zero or reference point of energy?) 8. You should make sure that you are familiar with how the rigid-rotor and harmor oscillator energies vary with quantum numbers (J, M in the former case, v in the latter) You should also know how these energies depend on the molecular geometry(in the4 barrier and that tunneling for heavier particles is less likely than for light particles. This is why tunneling usually is considered only for electrons, protons, and neutrons. 7. I do not expect that you could carry off a full solution to the Schrödinger equation for the hydrogenic atom. However, I think you need to pay attention to a. How separations of variables leads to a radial and two angular second order differential equations. b. How the boundary condition that f and f + 2p are equivalent points in space produces the m quantum number. c. How the l quantum number arises from the q equation. d. How the condition that the radial wave function not “explode” (i.e., go to infinity) as the coordinate r becomes large gives rise to the equation for the energy E. e. The fact that the angular parts of the wave functions are spherical harmonics, and that these are exactly the same wave functions for the rotational motion of a linear molecule. f. How the energy E depends on the n quantum number as n-2 and on the nuclear charge Z as Z2 , and that the bound state energies are negative (do you understand what this means? That is, what is the zero or reference point of energy?). 8. You should make sure that you are familiar with how the rigid-rotor and harmonic oscillator energies vary with quantum numbers (J, M in the former case, v in the latter). You should also know how these energies depend on the molecular geometry (in the