Chem288_2005_Prelim_I_Guide

Chem288_2005_Prelim_I_Guide - Chemistry 288 Preliminary...

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Unformatted text preview: 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 N down + ǫ 1 N down – a two level atom in an electric field: U = ··· + 2 sμ e E – a spin in a magnetic field: U = − 2 sμ m B • Be able to write the length of a polymer in terms of s , as on the homework – l = l ( N left − N right ) • Be able to sketch the large- N version of the multiplicity function g ( N,s ) 1 of 4 Chemistry 288 Preliminary Exam I Study Guide Spring 2004, Marohn • You should know that σ = log g (1) • You don’t need to memorize...
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This note was uploaded on 09/28/2008 for the course CHEM 2880 taught by Professor Freed, j during the Spring '06 term at Cornell.

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Chem288_2005_Prelim_I_Guide - Chemistry 288 Preliminary...

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