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segment ‘b, a,, the expression for the bonding site ‘A’ on the segment is obtained.

1
α(r)


J-I                             m                   b-j∙mj

exp(∕3^2*^)exP‰)exP^ ∑ *μi)exp(∕? ∕⅛)¾a(r)> (7∙22)

2=1                        i=j+l            i=6j(α+l)

where, ¾α


is the I2 function for the branch segment 1b7 a,:

I‰M = y*'exp[Di(r')]A√r')Λ,i(r-)Δi*'m'(r.r-),       (7.23)

and

⅛⅛<,(r) = / *,¾⅛*>>M e×p(β⅛<o+.>(r')l∆l*j,"'*,,°+1"(r. r,).       (7.24)

This is depicted in fig. 7.2c. Similarly applying proc. A from the first branch segment

ζb7 Γ to the branch segment ζbj a’ gives

(⅛(α-l)

= exp(∕3 ∑ Mi)⅛α(r).                (7.25)

xb (r)          i=⅛ι

As discussed before, a is the ʃɪ function for the branch segment ibj a’ with
7ι⅛ι(r) = ɪ, as depicted in fig. 7.2d. Finally, substituting
Xb^a from eqn. 7.22 and
a from eqn. 7.25 in the Euler-Lagrange equation for the branch segment 1b7 a''
gives its density profile,

pbjJr) = exp(/?pM)exp[£>bjQ(r)]/1feJQ(r)/5).Q(r).

(7.26)


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