Geoscience Reference

In-Depth Information

R
1

R
2

a

r

DISTANCE FROM CENTER

Fig. 3.14
Same as in Fig.
3.13
. The energy is negative,
E
< 0. Now if L.R/ < L.a/, the ions with

L<L.R/reach the particle surface

3.6.1.2

Singular Attraction

Let the interaction potential have a singularity at
r
D
a
resembling the potential of

image force. Figures
3.15
and
3.16
show schematically the situation in this case.

When energy
E
is positive, function L
2
.r/ has a minimum at r
D
r

located at

r>aand L
a
D
L
2
.r
/.Atnegative
E
(see Fig.
3.16
)

L
a
D
min
L
2
.r
/;L
2
.R/

where r

is the solution to the equation

L.r
/
D
L
a
D
min
.L.r//; r
a:

(3.160)