An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter 8.2, Problem 19P
The critical temperature of iron is 1043 K. Use this value to make a rough estimate of the dipole-dipole interaction energy
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For a K*- CH ion pair, attractive and repulsive energies EA and ER, respectively, depend on
the distance between the ions r, according to
5.8 x 10-6
1.436
EA
and ER
For these expressions, energies are expressed in electron volts per K*- CH pair, and r is the
distance in nanometers.
a) If the net energy EN is just the sum of the two expressions above: EN = E, + ER, Find the
values of ro and E, ?
b) If curves of E, ER, and EN are
plotted in given figure, compare
the calculated values of ro and
E, with that from the graph.
2 am
0.00
010
0.20
0.30
040
0.70
00
1.00
Interatomic Separation, nm
Bonding Energy, eV
Determine the bohr magnetons associated with an iron atom, given that saturation magnetization is 1.7x10^6A/m , that iron has a BCC crystal structure, and that unit cell edge length is 0.2866nm.
For a K*- CF ion pair, attractive and repulsive energies E, and ER, respectively, depend on the distance
between the ions r, according to
1.436
E4 --
5.8 x 10-6
ER =
For these expressions, energies are expressed in electron volts per K*- Cl- pair, and r is the distance in
nanometers.
a) If the net energy EN is just the sum of the two expressions above: EN = E+ ER, Find the values
of r, and E,?
b) If curves of E,, ER and EN are
plotted in given figure, compare
E,
the calculated values of ro and E,
with that from the graph.
-0.28 nm
E,-4.6 eV
0.00
0 10
0.20
0.30
0.40
0.50
060
0.70
0.80
00
1.00
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