Homework Help is Here – Start Your Trial Now!
Science
Chemistry
1. Consider a model of N localized magnetic ions, given by the spin Hamiltonian N H = DES}, j=1 where the spin variable S; may assume the values -1, 0, or +1, for all j (see exercise 6 of Chapter 2). Given the total energy

1. Consider a model of N localized magnetic ions, given by the spin Hamiltonian N H = DES}, j=1 where the spin variable S; may assume the values -1, 0, or +1, for all j (see exercise 6 of Chapter 2). Given the total energy

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
See similar textbooks
icon
Related questions
Question

Please don´t use partition equation

1. Consider a model of N localized magnetic ions, given by the spin Hamiltonian N H = DS}, j=1 where the spin variable S; may assume the values -1, 0, or +1, for all j (see exercise 6 of Chapter 2). Given the total energy E, use the expression for the number of accessible microstates, 2 (E, N), to obtain the entropy per particle, s = s(u), where u = E/N. Obtain an expression for the specific heat c in terms of the temperature T. Sketch a graph of c versus T. Check the existence of a broad maximum associated with the Schottky effect. Write an expression for the entropy as a function of tem- perature. What are the limiting values of the entropy for T → 0 and T → x? *** The number of accessible microscopic states, 2(E, N), has already been calculated in exercise 6 of Chapter 2. The entropy per magnetic ion is given by 1 s = s (u) = kB lim lnΩ (E, N), N
Transcribed Image Text:1. Consider a model of N localized magnetic ions, given by the spin Hamiltonian N H = DS}, j=1 where the spin variable S; may assume the values -1, 0, or +1, for all j (see exercise 6 of Chapter 2). Given the total energy E, use the expression for the number of accessible microstates, 2 (E, N), to obtain the entropy per particle, s = s(u), where u = E/N. Obtain an expression for the specific heat c in terms of the temperature T. Sketch a graph of c versus T. Check the existence of a broad maximum associated with the Schottky effect. Write an expression for the entropy as a function of tem- perature. What are the limiting values of the entropy for T → 0 and T → x? *** The number of accessible microscopic states, 2(E, N), has already been calculated in exercise 6 of Chapter 2. The entropy per magnetic ion is given by 1 s = s (u) = kB lim lnΩ (E, N), N
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
SEE MORE TEXTBOOKS