PSE_2_Chem113A_W08

PSE_2_Chem113A_W08 - 1 Practice Self Evaluation #2...

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1 Practice Self Evaluation #2 (Chem113A W’08, 02/29/08 4-6:30pm+~30mins, 100+5, max=100) Name: ___________ By writing down my name, I confirm that I strictly obey the academic ethic code when taking this exam. (i) To reduce your workload in the midterm exam week, 2 questions will be graded and counted toward PS#6. Please choose 2 questions from [1]--[5]. Your choice must include [3]. Dear TAs: please grade __________. Thanks. (ii) Five questions. Please budget your time in the real SE#2. You may want to start with the parts you are more familiar with. There will be one extra credit question in real SE#2, but the total score is capped by 100 points. (iii) Formula sheets for PSE#2 can be found on VOH. It’s important to show calculation or algebraic details. (iv) Coverage is shown on the right. Due to the nature of QM, the Self Evaluations are cumulative. Numbers of “*” in front of each topic denotes its relative weighting in SE#2. Please refer to Lecture Note #1314 for tips on preparing for SEs. (v) Academic ethics need to be strictly obeyed. No exceptions and no kidding. (vi) In this course, you control and determine your final grade— info in syllabus listed below for your convenience: (vi) Resources for your on SE#2: -- TA office hours : Weekday 12-1pm (but Monday 9-10am) @ 2085F. -- Prof. Lin office hours : Weekday 9:30-11am @ 2085F or 2077C, depending on number of students -- Prof. Lin extra office hours : Weekday 5-6pm @ 2085F or 2077C, depending on number of students -- SE#2 review sessions by TA (optional) : 2 identical sessions, time and location TBA (vii) Tips on preparing for SE#2: 5 steps, [ ] 1. Study + Review Lecture Notes (see “SE#2 Coverage” above for chapters/sessions) [ ] 2. Study + Review textbooks/handouts (see “SE#2 Coverage” above for chapters/sessions) [ ] 3. Do PSE#2 (very important!) [ ] 4. Do + Review problem sets, previews, SE#1, and PSE#1 [ ] 5. Do the ungraded exercises. Note: ~60% of questions in SE#2 will be exactly the same or similar to those in PSEs, SE#1, previews, problem sets, and selected textbook exercises and problems listed below (one for each day; EP=Example Problem): ( ) 02/19: EP4.2 ( ) 02/20: P4.21 ( ) 02/21: P6.1 ( ) 02/22: P6.2 ( ) 02/23: P6.13 ( ) 02/24: P6.18 ( ) 02/25: P7.1 ( ) 02/26: P7.3 ( ) 02/27: P7.11 ( ) 02/28: P7.15
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2 [1] Applicaions of Simple Quantum Models (20pts) Chemistry is about molecuales. In this question, we will use simple quantum models to understand the properties of 3 molecules: anthracene, 1,3-butadiene, benzene, and [1](a) Anthracene. There are 2 delocalized π -electrons in anthracene (length 0.6nm). Please estimate the wavelength (nm) of the photon needed to induce the HOMO Æ LUMO transition. (Hint: experimental result ~400nm) [1](b) 1,3-butadiene . Please estimate the energy (Joule) of a single delocalized π electron in the following state. The length of 1,3-butadiene is estimated to be 0.867nm.
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3 [1](c) Benzene. Six of the electrons from benzene C 6 H 6 form a delocalized conjugated π -bond. We will model it as “particle on a ring” with ring radius a and particle (electron) mass m . This problem can be best solved in the spherical coordinate system, where the time-independent Schrodinger equation becomes (no need to derive this): where I = ma 2 is called “moment of inertia” and the angle θ
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PSE_2_Chem113A_W08 - 1 Practice Self Evaluation #2...

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