Please don´t use partition equation 1. Consider a model of N localized magnetic ions, given by thespin HamiltonianNH = DS},j=1where the spin variable S; may assume the values -1, 0, or +1,for all j (see exercise 6 of Chapter 2). Given the total energyE, use the expression for the number of accessible microstates,2 (E, N), to obtain the entropy per particle, s = s(u), whereu = E/N. Obtain an expression for the specific heat c in termsof the temperature T. Sketch a graph of c versus T. Check theexistence of a broad maximum associated with the Schottkyeffect. Write an expression for the entropy as a function of tem-perature. What are the limiting values of the entropy for T → 0and T → x?*** The number of accessible microscopic states, 2(E, N),has already been calculated in exercise 6 of Chapter 2. Theentropy per magnetic ion is given by1s = s (u) = kB limlnΩ (E, N),N

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

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...

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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

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