Polyelectrolytes: Theory, Properties and Applications

6 F. Benmouna, R. Kaci and M. Benmouna

After straightforward manipulations of Eqs. 3 and 4, Saa(q) is obtained as

 

 

 

 

 

 

 

0 2

ab

0 ab

12 b^0

aa aa 0

0 a

bb

0

Sq

v

Sq Sq

S v q f

Sq Sq

v

Sq









    







, (5)

likewise, Sbb(q) is obtained as

 

 

 

 

 

 

 

0 2

ab

0 ab

1 a^0

bb bb 0

0 b 2

aa

0

Sq

v

Sq Sq

Sv

Sq Sq

v q f

Sq









  



  



, (6)

while the equal off-diagonal elements Sab(q) = Sba(q) take the form

 

 

 

 

 

 

 

 

 

00

ab 2

0 bb aa

1 ab^00

ab ab 0

0 ab

ab

0

S q S q

v v q f

Sq S q S q

Sv

Sq Sq

v

Sq



  

      

 

  







. (7)

Eqs. 5 - 7 are the general expressions for the scattering functions involving
three bare structure factors and all the interactions for the system under
investigation. The bare structure factors can be expressed in terms of the form
factors Pi(q) and the volume fractions of A and B monomers a = x, b =
(1x) as

         

       

0 2 0 2

a a b b

00

ab ba ab

2 2 2 2 2

0 a b ab

; 1 ;

1 ;

(1 ) ;.

S q x NP q S q x NP q

S q S q x x NP q

S x x N P P P P P

    

   

       

(8)