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Unformatted text preview: 1 Self Evaluation #1 (Chem113A W’08, 02/05/08 6:158:15pm+20mins, 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) 4+1 questions. Please budget your time. You may want to start with the parts you are more familiar with. The total score is capped by 100 points. (ii) Formula sheets are distributed separately. It’s important to show calculation or algebraic details. (iii) Coverage of SE#1 is shown below. Academic ethics need to be strictly obeyed. No exceptions and no kidding. Theme of PSE#1. This flowchart may summarize how quantum mechanics works in modern science. The theme of SE#1 is to put this flowchart into practice. Step #1, “Spectroscopic Phenomena” Æ “Physical Model”, asks for a high level of experience, insight, creativity, and original thinking (that’s exactly why we integrate “research frontiers” and “advanced topics” into this course) and may be better left for problem set exercises. In the following, we will practice the other 3 steps. [1] Why QM? Because CM fails in microscopic systems (30 pts) [1](a) Warm up (1 pt; wrong answer 50pts, what were you doing in lectures?) Relax and you will do better. In this course, we have established ambitious goals. The lecture materials come from different textbooks, articles, and the teaching staff’s insight in QM. Which of the following books may be used most frequently by Prof. Lin when he prepared the lectures and lecture notes (circle one answer; no explanation needed): [1](b) Warm up (1 pt; wrong answer 50pts) The thought experiment which Schrodinger used to illustrate the “Superposition Principle” and the inconsistency between the microscopic theories and macroscopic theories is called (circle one answer; no explanation needed): 2 Before we apply quantum mechanics to solve chemistry problems, we want to ask: why the easy friendly classical mechanics is not good enough? [1](c) Photoelectric effect (5pts) CM fails to model the particle property of waves. For example, please solve the following question. 3 [1](d) de Broglie matter wave (5pts) CM fails to model the wave property of particles. For example, please solve the following question. 4 [1](e) Quantization of energy in Hatom (6pts) CM fails to model the discrete spectra and quantized energy of Hatom. Based on the quantization of angular momentum l = mvr = n ħ , please derive the quantized radius r n (i.e, the distance from the electron to the proton) and the quantized velocity V n for the electron in the Hatom. (Hint: Coulomb force of attraction on the electron, F coul , provides the acceleration a towards the nucleus: ) (Remark: once the radius and velocity are quantized, the total energy is quantized, too.) 5...
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 Winter '07
 Lin
 Quantum Chemistry

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