Hamiltonian by perturbation order expansion
Fermi Golden Rule; what is it describing and formula
absorption excitation & emission deexcitation energy (energy of transition)
Tunneling, what are wavefunctions at different points? what is transmission ratio?
Transition ratio = |A'|^2 / |A|^2 proportional to e^(-2kL)
Tunneling: What are the boundary conditions the wave function must satisfy?
Coulombs potential: what is it and formula?
Schrodinger Eqn of a hydrogenic atom
angular, centrifugal force(last arrow): of S.E eqn. mu is reduced mass = M1M2/(M1+M2)
energy eigenval of hydrogenic atom
What is 1 bohr, and 1 Rydberg?
1 Bohr = 0.529A, 1 Rydberg = 13.6eV
average radius
allowable domains of three quantum numbers of the hydrogenic atom and, on that basis, explain the atomic shell structure
electronic Schrödinger equation of the helium atom
1) singlet wave function of the helium atom with both electrons in the 1s orbital within the orbital approximation.
2) singlet and 3 triplet wave functions of the helium atom with one electron in the 1s orbital and the other electron in the 2s orbital.
Define the Rayleigh scattering, Stokes Raman scattering, and anti-Stokes Raman scattering. Draw a typical Raman spectrum and explain the temperature dependence of the spectral lines
Draw a pure rotational Raman spectrum of a linear rotor. Name the three branches, explain their relative intensities, rationalize the shape of branch envelope, and give line spacing in terms of the rotational constant B.
In what circumstances, the harmonic approximation to molecular vibrational problem becomes a poor approximation?
Starting from the transition dipole moment, derive the gross and specific selection rules of infrared absorption due to pure vibrational transitions in the harmonic approximation
