10
Louisiana
State
U niversity
Mechanical Engineering Department
~
Professor Meletis
Spring 2004
ME 2733
Materials of Engineering
Homework Assignment #1
(due: in class Thursday, 02/05/04)
The potential energy (V) between two adjacent ions in a solid can be represented by the
expressIOn:
B
A
v=
+
a
aU
where a is the interatomic
distance and A and B are constants. Calculate the bonding
energy V o in terms of the parameters A and B using the following
steps:
(a)
Differentiate
V with respect to a, and then set the resulting
expression equal to
zero. Note that V versus a is minimum
at V 0.
(b)
Solve the previous
expression for a in terms of A and B. This yields ao, the
equilibrium
interatomic
distance
( c )
Obtain the expression for V 0 by inserting ao in the equation given above.
2
Give the electron configuration (shorthand electron notation) for the following ions
Fe2+, Fe3+, Cu+, Ba2+, Br, and S2.
[Problem 2.7 in text] 
~
3
Sodium chloride (NaCl) exhibits predominantly ionic bonding. The Na + and CJ
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 Fall '10
 Meng
 Mechanical Engineering, Atom, Periodic Table, Ion, Sodium chloride

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