Quiz #2 Key, Fall 2015, Tianyu Liu
Quiz 2 KEY
1. Determine if () =
If so, what is the eigenvalue? Note that A, B and k are real numbers. (10 points)
d d ( x) d
ikAeikx ikBeikx k 2 Aeikx k 2 Beikx k 2 ( Aeikx Be ikx )
Chem 163A, Fall 2015
E-mail: [email protected]
Office Hour: Tu 4-5 pm@ PSB145
Lab: PSB 198
What we learned in this quarter?
Chem 163A, Fall 2015, Tianyu Liu
Section:_ Chem 163A
1. When the surface of metal A and B are irradiated with light of wavelength , electrons were
detected from A. Which of the following statement(s) is/are correct? (10 poin
Quiz #4 Key | Fall 2015 Chem 163A | Tianyu Liu
The first excited state eigenfunction for a 1-D harmonic oscillator is given by
1 () =
, with being a constant, calculate the average value, < >, of the
position operator .
x 1* ( x) x
Quiz #7 Key | Chem 163A, Fall 2015 | Tianyu Liu
Quiz #7 Key [10 pts]
1. Determine which statement(s) below is/are true?
(A) It is impossible to get the exact energies and wave functions for Li ions by solving the
Schrdinger equation of Li2+.
Quiz 3 Key | Chem 163A, Fall 2015 | Tianyu Liu
Assume that a particle is confined to a box of length , (0 ), and the system is
represented by a set of wave functions with different n values: () =
Show that the set of wave functions () are orthonormal.
Set up the secular determinant using Hckel approximation:
x 1 0
1 x 1 0
0 1 x
Evaluate the determinant
x 1 0
1 x 1 0
0 1 x
x 1 1 1
x( x 2 1) x x 3 2 x 0
1 x 0 x
x1 2; x2 0; x3 2
When x1 2, E1 2
When x2 0, E2
When x3 2, E3 - 2
Quiz #5 Key | Fall 2015 | Tianyu Liu
Quiz #5 Key [15 pts total]
1. Determine which of the following statement(s) is/are true?
(A) Vibrational and rotational transitions are both forbidden for homo-nuclear diatomic molecules.
(B) For observing v
Quiz #6 Key | Chem 163A, Fall 2015 | Tianyu Liu
Quiz #6 Key [10 pts]
1. Given the probability density plots in a planar cross section of two hydrogen atomic orbitals, choose the
correct statement(s) about the two orbitals:
(A) Orbital (