FINAL EXAM INFORMATION - FOR SPRING 2007

* This is just to serve as a general aid in your final exam preparation!  It is simply a list of some of the general concepts that have been important during this semester.

** At the exam,  you will be given a formula sheet which includes needed formulas (including Chapter 16) with the exception of the ones starred in the below list, or ones where "formulas" are an important part of their description (i.e. term symbol, normalization, probability, expectation value, LCAO, selection rules, coulomb and resonance integrals, quantum numbers, eigenvector equation, etc.).  For questions where a mathematical process is involved (i.e. most probable radius,  putting together a wavefunction from tables, Huckel approximation, secular determinants, . . .), you should be fully aware of the process and necessary steps.

***  No pre-stored formulas, etc. are allowed on your calculators.  

* * * GOOD LUCK! * * *   See you on Friday, May 11 from 8:00 - 10:00 a.m.!!!
 

Final Exam Topic Aid:  General Topics

Chapter 11:
wave-particle duality
de Broglie relation
wavefunction
Schrodinger equation* (know general form)
Eigenvalue
Eigenvector
Operator
Born interpretation
Probability, probability density*
Normalization*
Hamiltonian operator
Observables
Linear combination
Expectation value*
Heisenberg uncertainty principle

Chapter 12:
Particle-in-a-box
Infinite square well;  boundary conditions
Quantum numbers
Zero-point energy
Orthogonality
Dirac bracket notation
Wavefunctions
Energy levels
Degeneracy
Tunneling (in general what it is!)
Vibrational and rotational motion
Energy levels
Putting a wavefunction together from the tables

Chapter 13:
Hydrogenic atom
Reduced mass (effective mass)
Radial wave equation (be able to retrieve from table!)
Atomic orbital
Principal quantum number
Shell, subshell
Ground state
Radial distribution function
Most probable radius
Nodal plane
Transitions (allowed, forbidden, selection rules)
Orbital approximation
Pauli exclusion principle
Paul principle
Open- and closed-shells
Shielding
Hund’s rule
Aufbau principle
Spin correlation
Term symbols (multiplicity, total orbital angular momentum quantum number, total spin quantum number, total angular momentum quantum number)

Chapter 14:
Born-Oppenheimer approximation
Molecular potential energy curve
Bond dissociation energy
Bond order
Sigma and pi bonds
Molecular orbitals
LCAO*
Overlap density*
Antibonding and bonding orbitals
MO diagram
Coulomb, resonance integrals
Variation principle
Secular determinant
Huckel approximation
HOMO, LUMO

Chapter 15:
Be able to identify point groups, symmetry elements, symmetry operations, chirality, polarizability, character tables (be able to interpret them)

Chapter 16:
Stokes, Anti-Stokes radiation
Doppler effect
Lifetime broadening
Moment of inertia
Rotational constant
Rigid rotors
Types of rotors
Rotational constant
Centrifugal distortion
Energies
Rotational Raman
Molecular vibrations
Anharmonic
Overtones
Birge-Sponer
Branches of spectra
Normal modes

Selection rules

Rovibrational

Vibrational Raman

Chapter 17:
Franck-Condon principle
Vertical transition
Fluorescence
Phosphorsescence
Dissociation
Predissociation
Lasers – general principles of laser action
Be aware of a few types of lasers and their applications

Chapter 19:
What is statistical thermodynamics?
Molecular partition function
Canonical partition function
 
 End-of-semester material coming shortly, and Chapter 19 listing will be expanded!