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)
