Chem 370 TV Guide

Station	6:00-7:00	7:00-8:00	8:00-9:00		9:00-10:00		10:00-11:00
1DPIB	“n=1” 1D particle in a box with n=1	“n=2”	“n=3”		“1DCP” Sum of first 50 solutions evolving in time, recovering classical-like motion.***^1/2
BOHR	“m=1” 1D particle on a ring with m=1, corresponding to the Bohr model for H-atom.^*		“m=2”		“m=10”		Paid programming.
2DPIB	“nm=12” 2D particle in a box with n=1 and m=2.^*		“nm=35”		“2DCP” Sum of first 50 solutions evolving in time, recovering classical like motion in 2D.****
POD-1	“nm=10” 2D particle in a disc with n=1 (radial) and m=0 (angular).^**		“nm=20” Highlights the radial waves.		“nm=30” Just plain cool.		“nm=50”
POD-2	“nm=11” Wave motion generates angular momentum.***		“nm=12”		“nm=31”		“nm=51”
YLM-1	“LM=00” Spherical harmonics for L=0 and M=0, corresponding to s-orbital.		“LM=10” p_z	“LM=11” wave motion with angular momentum.		“LM=1-1” The other half.	“px” combo of LM=11 and 1-1	“py” same combo, new phase
YLM-2	“LM=20” d_z²	“LM=21”	“LM=22”		“LM=41”		“LM=43”
H-Rad	“nml = 100” 2D representation of the radial component of the H-atom solutions for a principle quantum number of 1.**		“nml = 200” Note - in 3D the nodes appear as spherical shells of zero amplitude and zero probability slicing through the spherical harmonic angular wavefunctions.**				“nml = 300” As the principle quantum # increases, e^- density moves further out.
SHO	“v=0” vib. wavefunction for v=0.	“v=1”	“v=7”		“SHO-CP” Sum of 50 SHO wavefunctions recovers classical vibrational motion, modified by Heisenberg! (bond length is known most precisely when the kinetic energy is greatest and exhibits greatest uncertainty when vibrational motion is classically slow.****

Premium	6:00-7:00	7:00-8:00	8:00-9:00	9:00-10:00		10:00-11:00
Spec1	“1DPIB Trans nm=12” Linear combo of 1 and 2 eigenstates for a PIB results in a sinusoidal modulation in the average position of the particle. If the particle is an electron, and the center of the box if positively charged, an oscillating electric dipole results, which can couple to an optical radiation field.****			“1DPIB Trans nm=13” This transition is optically forbidden - no oscillating dipole bridges the two states.		“1DPIB Trans nm=14” Allowed		“1DPIB Trans nm=23” Allowed
Spec2	“1DPOR Trans nm=12” Linear combo of 1 and 2 eigenstates for a particle on a ring (Bohr). Allowed.***		“1DPOR Trans nm=13”	“Starting Over” Kim is confronted by her housemates about her reluctance to part with a childhood suitcase.**
Spec3	“sp Trans” A linear combo of NML=100 and NML=210for the H-atom (corresponding to a transition from s to p_z or vice versa) results in charge density “sloshing” in time.****		“sd Trans” Forbidden atomic transition. Although the wavefunction linear combo is not symmetric in time, charge density is always balanced across the nucleus.****			“pd Trans” Allowed, and very cool.		“sf Trans” Forbidden. Charge density is always balances across the nucleus.
Spec4	“SHO Trans vw=12” A linear combo of eigenstates 1 and 2 results in time-dependent changes in average bond length.****		“SHO Trans vw=13” Forbidden transition.		“SHO Trans vw=14” A linear combo of eigenstates 1 and 4 results in interesting wavemotion, but no time-dependent changes in average bond length. By analogy with the “sd Trans” movie, the bond distance probability is always balanced about the equil. bond position.****
HBO	“The Butterfly Effect” The Lorentz oscillator is initiated with slightly different initial conditions, and very different final behaviors.		“Free Wave Forward” Wave motion for an unbound particle (e.g., light) with positive momentum.		“Free Wave Backward” Wave motion for an unbound particle with negative momentum.		“Free Wave Combo” Standing wave generated from the linear combo of the forward and backward propagating waves.