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Chem288_2005_Prelim_I_Guide

# Chem288_2005_Prelim_I_Guide - Chemistry 288 Preliminary...

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Chemistry 288 Preliminary Exam I Study Guide Spring 2004, Marohn Guidelines In order to do well on the exam, you should be able to set up the homework problems without referring to the textbook I will give you a lot of formulas on the exam. The formulas-and-constants page will be posted this evening, two days before the exam.. Coverage Preliminary Exam I will cover Lectures 1 through 11 inclusive Homeworks 1 through 5 inclusive Kittel and Kroemer, Chapters 1 – 3, and 5. You should memorize the boxed equations 1 Entropy and temperature Kittel and Kroemer, Chapter 1 and 2 We started by considering a collection of two-state “molecules.” We defined the spin excess s = N upper N lower . Know what s means physically, that is, be able to draw it. I will give you the formulas for a two-state system g ( N, s ) = N ! N up ! N down ! −→ g ( N, s ) = parenleftbigg 2 πN parenrightbigg 1 / 2 2 N e - 2 s 2 /N I will give you that 2 s = N up N down and N up + N down = N N up = N/ 2 + s and N down = N/ 2 s Be able to write the energy in terms of the spin excess for a number of physical systems. I will give you a two level atom: U = ǫ 0 N down + ǫ 1 N down a two level atom in an electric field: U = · · · + 2 e E a spin in a magnetic field: U = 2 m B Be able to write the length of a polymer in terms of s , as on the homework l = l 0 ( N left N right ) Be able to sketch the large- N version of the multiplicity function g ( N, s ) 1 of 4

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Chemistry 288 Preliminary Exam I Study Guide Spring 2004, Marohn You should know that σ = log g (1) You don’t need to memorize Sterling’s approximation or how to derive it The binomial formula
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Chem288_2005_Prelim_I_Guide - Chemistry 288 Preliminary...

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