Name: ATV, S- Student Number:
Chem. 347 Fall 2014 Midterm Examination I
There are 4 questions on 6 pages. The marks per question are provided. Any required
explanations must be clear, complete, and lo
Chem 347 Fall 2016. Midterm Examination 1 Answers.
1. [10 marks total] Circle the correct answer or complete the following
(a) [2] A measurement of the energy of hydrogen atom with the electron in a 2
Chem 347 Summer 2005. Assignment 1: Complex Numbers and Probability.
ANSWERS
1. Consider the three complex numbers 1 2i, 2 i , 2e i/4
(a) [3] Identify each of them on the graph below (show any working
CHEM 347 QUIZ 3, Summer 2005.
ANSWERS
c D.A. Harrington, 2005. ID No :
[Marks in brackets]
1. Answer the following questions relating to the 1-D free particle, which has energy
eigenfunctions k (x) =
CHEM 347 QUIZ 4, Summer 2005.
Name:
c D.A. Harrington, 2005. ID No :
[Marks in brackets]
1. Answer the following questions relating to the particle-on-a-ring, which has energy
eigenfunctions m () = 1
CHEM 347 QUIZ 5, Summer 2005.
ANSWERS
c D.A. Harrington, 2005.
[Marks in brackets]
1. Answer the following questions relating to this hydogen atom orbital contour plot.
[3](a) Draw nodes on the plot
Chem 347 Summer 2005. Midterm Examination.
Name_Student Number_
Explanations must be clear, complete, and logically consistent to get full marks. Answers
without explanations are typically worth zero
UNIVERSITY OF VICTORIA
FINAL EXAMINATION, DECEMBER 2005
Chemistry 347, Section F01
Quantum Chemistry
Name:_ Student number:_
(please print your name)
Time: 3 hours
Instructor: Dr. P. Codding
10 Pages
Chem 347 Summer 2005. Assignment 5: Review of Concepts.
Name_Student Number_
Due Thursday, June 9, 2005 at the beginning of class. Late assignments are not
accepted. Each questions is worth three mark
Chem 347 Summer 2005. Assignment 8: Spherical Harmonics [revised].
ANSWERS
1. Consider the 2-D parity (inversion) operator, Pbf (x, y) = f (x, y) or Pbf (r, ) =
f (r, ), (where the sign is chosen to k
Wonderful Integrals
Z
2
cos mu sin nu du = 0; m, n integer
0
Z
2
sin mu sin nu dx =
0
Z
2
cos2 mu du =
Z
cos mu cos nu du = 0; m, n integer; m 6= n
Z
2
sin2 mu dx = ; m integer
0
2
cos mu du =
0
/2
Z
Chem 347 Summer 2005. Assignment 6: Review of Concepts II.
1.
2.
3.
4.
ANSWERS
For a 1-D particle-in-a-box, the probability of finding the energy E 6 outside the box is
zero. Energy is a concept of th
Chem 347 Summer 2005. Assignment 1: Complex Numbers and Probability.
Name_Student Number_
Due Thursday, May 12, 2005 at the beginning of class. Late assignments are not
accepted. Marks are in square b
CHEMISTRY 347, QUIZ 1 Name: Kl: \/
September 22, 2006
ID Number
[6] 1. True of false:
l/ a. Nondegenerate eigenfunctions of the same operator are orthogonal.
7/ b. 6: must be continuous as long as
CHEM 347 QUIZ 1, Summer 2005.
Name:
[Marks in brackets] D.A. Harrington, 2005. ID N:
1. Circle the correct answer.
[1](a) Isolated hydrogen atoms left alone will eventually be in the ground state
True
Chem 347 Summer 2005. Assignment 3: Wavefunctions, Operators and
Measurement.
ANSWERS
1. [3] Find the value of b that normalizes the 1-D wavefunction that has the following
values and is linear in bet
Chem 347 Summer 2005. Assignment 2: Operators and normalization.
Due Thursday, May 19 at the beginning of class.
1.-3. Answer one part of each of questions P2.11, P2.13, P2.17 in Engel. Answer part a
Chem 347 Summer 2005. Assignment 7.
ANSWERS
1. Consider the ground state normalized eigenfunction of the harmonic oscillator, 0 (x) =
(/)1/4 exp(x2 /2), and a shifted version of this, (x) = (/)1/4 exp
Chem 347 Summer 2005. Assignment 6: Review of Concepts II.
Name_Student Number_
Due Thursday, June 16, 2005 at the beginning of class. Late assignments are
not accepted.
Each of the following statemen
CHEM 347 QUIZ 1, Summer 2005.
Name: ANSWERS
c D.A. Harrington, 2005. ID No :
[Marks in brackets]
1. Circle the correct answer.
[1](a) Isolated hydrogen atoms left alone will eventually be in the grou
CHEM 347 QUIZ 2, Summer 2005.
Name: ANSWERS
c D.A. Harrington, 2005. ID No :
[Marks in brackets]
1. For the 1-D particle in a box, consider the normalized wavefunction (x) =
and circle your choice.
p
Chem 347 Fall 2016. Practice Problems 1: Complex Numbers and Probability.
1. Consider the three complex numbers 1 + 2
2 + 24
(a) Identify each of them on the graph below
2
1
0
-2
-1
0
1
2
-1
-2
Now ca
Name:
CHEM 347 QUIZ 2, Fall 2016.
c D.A. Harrington, 2016. ID N :
[Marks in brackets]
Circle the correct one or more answers.
1. [2] exp() is
2. [2]
1 3d0
3
True
+
real?
1s
3
False
4p0
3
imaginary?
Chem 347 Fall 2016. Practice Problems 2: Operators and Eigenfunctions
Answers
1. Apply the operator to the function and determine whether or not it is an eigenfunction,
giving the eigenvalue if it is:
Name:
CHEM 347 QUIZ 1, Fall 2016.
c D.A. Harrington, 2016. ID N :
[Marks in brackets]
Circle the correct answer or give a value
1. [1] Consider the usual depiction of the 1s orbital of a hydrogen ato
Chem 347 Fall 2016. Practice problems 4.
Answers
1. Engel P4.32 (a) - (e). Assume the wavefunction is zero outside the box. Remember, many
things have to be right for it to be OK.
(a) cos()+ sin() Wit
Chem 347 Fall 2016. Practice Problem Set 5
(Short Answers - no integrals to evaluate)
1. A normalized wavefunction at time = 0 is equal to
i
+ 2
3 1
(i 1)
(i +1)
1 +
2
1 =
2
2
1
1
i
2 = 1 2 + 3
3
3
3
Chem 347 Fall 2016. Practice Problems 3 Answers: Normalization and
Orthogonality.
1. Normalize the following functions over the stated range. (Hint: changing variables and
using the integral table may
Chem 347 Fall 2016. Practice Problems 1: Complex Numbers and Probability
Answers
1. Consider the three complex numbers 1 + 2, 2 + , 24
(a) Identify each of them on the graph below
2
1
0
-2
-1
0
1
2
-1
Chem 347 Fall 2016. Midterm Examination 1.
Name_Student Number_
Use the backs of the pages if necessary. Total Marks 50
1. [10 marks total] Circle the correct answer or complete the following
(a) [2]
Chem 347 Summer 2005. Assignment 9: Approximate Methods.
Name_Student Number_
Due Thursday, July 21, 2005 at the beginning of class. Late assignments are not
accepted. Marks are in square brackets. Sh
Chem 347 Summer 2005. Midterm Examination.
_ANSWERS_
1. A particle in a 1-D box has a normalized wavefunction . is defined and plotted with
some additional information on a separate sheet. A sheet of
CHEM 347 QUIZ 5, Summer 2005.
Name:
c D.A. Harrington, 2005. ID No :
[Marks in brackets]
1. Answer the following questions relating to this hydogen atom orbital contour plot.
[3](a) Draw nodes on the
CHEMISTRY 347, QUIZ 4 Name: KL- Y
November 24, 2006
ID Number
[8] 1. Consider the H2 molecule as diagrammed in the gure below (a and b denote H nuclei
and 1 and 2 denote the two electrons).
Assume t
Chem 347 Summer 2005. Assignment 3 [revised]: Wavefunctions, Operators
and Measurement.
Name_Student Number_
Due Thursday, May 26, 2005 at the beginning of class. Late assignments are not
accepted. Ma