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,

 

                 and as    then 

 

 

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.