Lecture 27 Hydrogen 3d, 4s and 4p We can get some insight into the relative Energies of these three orbitals from the website: http://keisan.casio.com/has10/SpecExec.cgi

http://www.corrosionsource.com/handbook/periodic/periodic_table.gif

Lecture 27 The periodic Table

Lecture 26 Radial Wave Functions From Gasioriowicz “Quantum “Physics”

Lecture 26 Angular Momentum From Gasioriowicz “Quantum “Physics”

Lecture 28 Atomic Radii http://www.mhhe.com/physsci/chemistry/essentialchemistry/flash/atomic4.swf See also: http://en.wikipedia.org/wiki/Atomic_radii_of_the_elements_(data_page)

Lecture 25 Combining angular momentum

Lecture 27 Energy splitting for 2 electrons in the 4p/4d states This corresponds to the case of two electrons in a 4p,4d level in which inner electrons are not providing any separation between the two; it considers only the interaction between these two electrons and relativity (not terribly realistic).

P301 Exam II Review NO CALM QUESTION FOR FRIDAY!!! Exam Mechanics: Covers material from sections 5.2 thru 8.2 (but of course, some material from earlier sections may come in as well). 1 side of 8.5x11” formula sheet is allowed. It is not to be a general note sheet 5-6 questions (54-60 points; 9-10 “parts” worth 6 points each; 5 very straight-forward; 2 or 3 ask you to “stretch”) All have computational answers this time. Tables from the inside front lay-out of the text will be provided. Exam will start at 11:10. Office Hours: Wednesday 1:30 to 3:00 (Forum) Friday 8:45 to 10:00 No office hours Friday afternoon.

P301 Exam I Review Important results/topics: Chapter 5 (4 lectures): Bragg’s law (as applied to particles) DeBroglie waves Fourier Analysis/ Wave packets /Group velocity Uncertainty Relations (position-momentum; time-energy) Wave-particle duality and the Copenhagen interpretation. Chapter 6 (5 lectures): Schrodinger Equation (time dependent and time-independent) Properties of wave functions and the application of boundary conditions. (e.g. problem 2 (7-38) on today’s assignment) Expectation values and the physical significance of Y(x,t) Square wells (infinite and finite). Confinement energy Harmonic Oscillator Tunneling

P301 Exam I Review Important results/topics: Chapter 7 (3 lectures): Schrodinger Equation in spherical polar coordinates and angular/radial separation of variables Principal and Angular momentum quantum numbers Differences between the “Schrodinger” and “Bohr” hydrogen atom. Properties of the radial wave functions for hydrogen Selection rules. Intrinsic spin Chapter 8 (2.5 lecutres): Pauli Exclusion principle Structure of the periodic table and the role played therein by inter-electron interactions (and radial wave function shapes) and Pauli. Angular momentum (magnitude and projection quantum numbers, uncertainty relations, etc.) Addition of Angular momenta

5- 5- 6- 8-23 (sort of) The Ka x-ray line is actually a doublet (Ka1, Ka2) where the Difference between the two is quite small (20 eV out of 8keV for Cu for Instance). What is the origin of the energy splitting between these two lines?