The Basic Theoretical Model of the Isotachophoretic
Process
Consider two monovalent anions (A) and (B) having mobilities (
) and (
) respectively
and ![]()
Assume a counter monovalent
ion (q) is present in both zones and has a mobility (
).
Now for the system
to be electronically neutral.
and ![]()
where (
) and (
) are
concentration of (A) and (q) in band 1 and (
) and (
) are the
concentrations of (B) and (q) in band 2.
Now all the zones must have equal velocities. Thus,
or ![]()
and ![]()
Also as I is constant throughout the
system. ![]()
Now from Ohms Law
or
![]()
Where the symbols have the meaning previously ascribed to
them.
Now, ![]()
Where (c) is ion
concentration in equivalents, (F) is Faradays
Constant and (v) is the ion velocity.
Hence
and as
then
Returning to the two monovalent
anions (A) and (B)
having mobilities (
) and (
) respectively
in contact with counter ions (q) where (
) and (
) are
concentration of (A) and (q) in band 1 and (
) and (
) are the
concentrations of (B) and (q) in band 2.
Hence ,
and as
then ![]()
And by similar argument for band 2,
Consequently, as
then ![]()

Now as already stated, for the
system to be electrically neutral,
and ![]()
Thus, The concentration of all the
zones will be determined by the concentration of the leading electrolyte and on
the mobilities of the respective ions involved.