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Born–Mayer equation
The
Born–Mayer
equation
is an equation that is used to
calculate
the
lattice energy
of a crystalline
ionic compound
. It is a refinement of the
Born–Landé equation
by using an
improved
repulsion
term.
where:
N
A
=
Avogadro constant
;
M
=
Madelung constant
, relating to the geometry of the crystal;
z
+
=
charge number
of
cation
z
−
= charge number of
anion
e
=
elementary charge
, 1.6022
C
ε
0
=
permittivity of free space
:4
ε
0
= 1.
112
C
2
/
r
0
=
distance
to closest
ion
ρ
= a constant
dependent
on the
compressibility
of the crystal;
30
pm
works well for all
alkali metal
halides