||Final Exam: Friday May 17, 8:00am(!!!).
|| Conclusion of the course and review session. Bring your questions!
|| Don't forget to do the online course evaluation!!!
Tentative equations help sheet for the final exam is here.
| The statistics of you current total scores (prior to the final exam) are posted below under Exam #2 Statistics.
||TSK: Ch.15: 15.2, 15.4, 15.5
||Ch.15: Pr: 15.3, 15.5, 15.12, 15.13.
|| Answers/solutions to HW4 problems can be found here.
||TSK: Ch.14: 14.1-14.7, 14.10 (you can skip 14.5.3).
||Ch.14: Qs: 14.2, 14.4, 14.9, 14:10; Ex.Pr: 14.1-4,14.6,14.10. Pr: 14.14,14.26. Don't forget to finish and turn in your graded HW #4
||TSK: Ch.13: to the end; Ch.15:15.1, 15.4 (skip 15.4.1).
||Ch.13: Q: 13.6,9.11. Pr: 13.9,10,14, 152., 15.3, 15.5. Your graded HW #4 is here. It's due on Thursday May 9.
||Solutions to Exam #2 problems are posted below along with the statistics of your current grades.
||TSK: Ch.12 (refresh your memory on statistics and combinatorics), Ch.13: 13.1-5
||Ch.13: Ex.Pr: 13.5-6; Qs: 13.1-3,13.5; Pr: 13.1, 13.7, 13.12, 13.19, 13.20, 13.27.
Using your calculator find out how big (or small) the values of N should be in order for the Stirling's formula to achieve 10% accuracy, 1% accuracy (see slides from today's lecture). Do the same for the logarithm formula: ln(N!) = N*lnN - N (you might need Matlab or other program for this).
|| Slides from today's lecture are here
||Midterm Exam #2
|| Don't forget to bring a pen/pencil and a calculator!
||Ch. 17.13-17.14. TSK: Ch.12 (refresh your knowledge of probabilities). The reading material can be found on the course canvas website (https://myelms.umd.edu/) under Files.
|| Prepare for the second midterm exam that will be given on April 25. Make yourself familiar with the the equations sheet.
Here is the link to educational videos illustrating various aspects of Nuclear Magnetic Resonance that we discussed in class: http://www.magritek.com/support-videos. You want to watch videos 01, 02, and 04.
| Slides from today's lecture lllustrating the use of NMR spectroscopy in Biochemistry and Structural Biophysics can be found on the course canvas website (https://myelms.umd.edu/) under Files.
||Ch.17: 17.3-17.6, 17.11.
||Ch.17: Ex.Pr 17.1; Qs: 17.3,10,14,15; Pr: 17.3,17.6.
Prepare for the second midterm exam that will be given on April 25. A review session for the exam will take place on Mon, April 22, at 6pm in Rm 2118 Biomolecular Sciences Bldg.
Tentative equations sheet for Exam #2 can be found in the sample from the previous year exam. Make yourself familiar with these equations.
An example of midterm exam #2 problems from last year is here.. My solutions to the exam problems are here.
I strongly suggest you look at them only after you worked on solving the problems yourself.
| Solutions to HW#3 problems are here.
||Ch.8: 8.8, [8.7], and 17.1-17.2
||do the homework problems from the previous lecture.
||Ch.8: 8.3-8.6 [8.7].
||Ch.8: Ex.Pr: 8.2-8.6; Qs: 8.1,8.2,8.7,8.10,8.12,8.17,8.20; Pr: 8.7 (what's wrong in this problem?), 8.14, 8.15.
||Ch.8: 8.1-8.2, 8.9.
||Ch.8: Ex.Pr: 8.1; Q: 8.4.
||Ch.10: 10.1-10.3; Ch. 12: 12.1-12.4
||Ch.10: Ex.Pr. 10.1-10.2; Pr: 10.2, (10.3), 10.6-10.7. If you are curious about how to work with spin operators -- here is an exercise for you. Your graded Homework #3 (due on Thursday April 11 ) is here.
If you are curious about how to work with spin operators -- here is a (non-graded) homework exercise for you.
For those who are curious about vector/matrix representations of the wavefunctions and operators -- here is an explanation with some examples.
||Ch.10: 10.1-10.3 & Ch.6: 6.2
|| Ch.10: Qs: 10.1,10.5,10.7,10.12. Pr: 10.10.
Calculate the minimum quantum of energy required for ionization of the hydrogen atom from its ground state. Compare your answer with the thermal energy to a
nswer the question if H-atom is stabile at room temperature. Also,
compare the energy difference between the ground and the first excited state of
the electron wih the thermal energy to answer the question is Q.M. is necessary to describe electron in the H-atom.
|| Ch.9: Example Problems: 9.1-9.6; Qs: 9.6,9.12,9.13,9.19; Pr: 9.4, 9.5/9.12, 9.7. In addition, do the following problems:
(1) Calculate the minimum quantum of energy required for ionization of the hydrogen atom from its ground state. Compare your answer with the thermal energy to answer the question if H-atom is stabile at room temperature. Along these lines, compare the energy difference between the ground and the first excited state of electron wih the thermal energy to answer the question is Q.M. is necessary to describe electron in the H-atom.
(2) Calculate the average potential energy of electron in the 2p orbital and assess if the relationshiop = 2*En which we obtained in class for the 1s orbial still holds.
(3)Compare the energy of gravitational interaction between electron and proton with the energy of their electrostatic interaction. This will allow you to answer the question if we need to include the gravitational force in the hydrogen atom model. Along these lines, assess if an atom composed of two neutrons (or a proton and a neutron) being held together by their gravitational interaction could be stable at room temperature. To answer this question, compare the ionization energy of such an atom with the thermal energy. You might also want to estimate the Borh radius (a0) of such an atom: is it big or small compared to the length scales we used to? Would this atom fit into the classroom?
| The problems from your Exam #1 are here. I recommend that you solve these problems again, now without the time pressure of the exam. Solutions to Exam #1 problems as well as the score statistics are posted below.
||Ch.9: Qs: 9.1,9.4,9.7,9.8,9.10,9.16. Pr: 9.2,9.6,(9.24). Ex.Pr: 9.1,9.2,9.3.
Show by direct calculation that exp(-r/a) is a solution to the Shroedinger Eq. for H-atom when l=0; determine the values of a and E.
What is the degeneracy of the energy level of hydrogen atom with the principal quantum number n
||Ch.7: 7.5-7.8; Ch.9: 9.1-9.2
||Midterm Exam #1
||Don't forget to bring a pen/pencil and a calculator!
||Ch.7: 7.5-7.8. Preparation for the midterm exam #1. After the exam: Ch.7: 7.5-7.8
||Example problems (with solutions) from the previous year Exam #1 are here. After the exam: Ch.7: Qs: 7.2,7.3,7.4,7.12-14; Pr: 7.2,7.4,7.6,7.7,7.20, 7.34.
||Solutions to graded homework #2 problems will be posted here.   |
||Ch 7: 7.2, 7.4
||Ch.7: Ex.Pr.: 7.4,7.5. Qs: 7.11,7.19. Pr: 7.10,7.21,7.35(b). A review session for the upcoming midterm exam will be held on Friday March 8 from 4-5 pm in Rm 2118 in Biomolecular Sciences Bldg (the same building where my office is located). Bring your questions.
||Equations sheet for the upcoming exam is here.
||Ch 7: 7.1,7.3 & 7.2
||Ch.7: Ex.Pr.: 7.1-7.3; Qs: 7.1,7.6,7.8; Pr: 7.8,7.15. Your graded Homework #2 (due on Mar 7, 2019) is here.
||For those who are curious: here is a calculation of the probability to find quantum mechanical H.O. outside the allowed range for a classical H.O. Do download it click here.
||Ch.4: 4.3; Ch.5: 5.3; Ch 7: 7.1
||Ch.4: Pr: 4.17-19, 4.22, 4.23; Pr. Ch.5: Pr: 5.4,5.5
||Answers to graded Homework #1 problems are here.
||Ch.6: Example Prs: 6.3, 6.4, Qs: 6.5-8,6.14; Pr: 6.3,6.6,6.7
,6.9,6.11,6.23. Prove the genearal relationships for the commutators which I gave you in class. Specifically, evaluate the commutator [A,BC]. Do the Harry Potter and the Basilisk problem from the previous assignment.
||Ch.5: 5.1-5.2, 5.6-5.8
||Ch.5: Qs: 5.6; Pr: 5.7. Harry Potter and Platform 9 3/4: was it a quantum effect or just magic? Estimate the penetration depth assuming a 2m-height gravitational barrier and a particle (Harry Potter) of mass 50 kg running at 2 m/sec toward the barrier.
||Ch.4: 4.2-4.4; also Ch. 2.1
||Ch.4: Ex.Pr.4.1-4.3; Pr: 4.12,4.16. Estimate your wavelength when you move with 10 m/s velocity. Think of the Happy Potter and the Basilisk problem.
||Ch.4: Qs: 4.1-2,4.6,4.9-10,4.14-15,4.18-20; Pr: 4.9,4.10,4.28,4.29. Your graded Homework #1 (due on Feb 19, 2019) is here.
||Some useful trigonometric equations and and identities are here.
||Ch.4: 4.1. A video recording of this lecture is available on ELMS (BCHM485_L_4.mp4). A PDF version of the lecture notes from that video is here.
||Ch.4: Qs: 4.3-5,4.11; Pr: 4.4-4.6,4.13.
||Ch.3: 3.1-3.5 (3.6) A video recording of this and the previouslecture is available on ELMS (BCHM485_L2_3.mp4). A PDF version of the lecture notes from that video is here.
||Ch.3: Qs: 3.9-3.10; Pr: 3.12,3.16.
Question: How can you tell from the outcome of your experiments if the QM system is in a pure state or in a superposition state?
||Ch.2: 2.6,2.7; Ch.3: 3.1-3.3. A video recording of today's lecture and the next lecture is available on ELMS (BCHM485_L2_3.mp4). A PDF version of the lecture notes from that video is here.
||Ch.2: Ex.Pr. 2.3,2.4; Pr: 2.12, 2.14; Ch.3: Qs:3.2-3.9; Pr: 3.1,3.2,3.8,3.9
|| QCS: Ch.1 & Ch.2: 2.2-2.3
|| Ch.1: Do Example problem: 1.3 from Ch.1: determine the radius of the lowest-energy orbit of electron in Bohr's planetary model of the hydrogen atom.
Using Wien's displacement law, λmax*T=1.44/5 cm*K, perform the following calculations:
(1) estimate λmax for your body radiation, and
(2) assuming that the maximum of Sun's radiation is in the yellow range, i.e. λmax ~ 580 nm, estimate the temperature of the Sun's surface.
It's not too late to prepare yourself for the course. The relevant information can be found below and also on EMLS.
|| Prepare yourself for the course. The relevant information can be found
|| Pepare yourself for the course. The relevant information can be found here.