The name is absent



hp(z) = Д(1’2)(О,г), for z > ɪ,                                  (6.13)

ʃij(z) = J Ilj-βzβ exp[Dj-βz')]Mj~1'1∖z', z)dz', for z > у, (6.14)
and

^2,m(^)  —

1,

(6.15)

12,j(z) =

ʃ ∕2j+ι(√)exp[I>j∙+ι(√)]Δt7j+1∖z,√)d√, for z >

(6.16)

-⅞,ι(0) =

[ ∕2,2(-z') ехр[Т?2(г')]Д(1,2)(0, z')dz,, for z, >

(6.17)

The term exp(∕3∕⅛.; — βv) is calculated from the grafting density (pg, or the number
of chains tethered per unit area of the surface) of the chain as

dzp1(z) = exp(βμM)exp[D1(O) - ∕⅞]Λ,1 (O)T24(O) = Pa, (6.18)

or

exp(βpM - βv) =---(rl(n∖∖τ i(∖∖τ 7∩V             (6'19)

exp(Dι(0))∕ι,ι(0)∕2,ι(0)

Substituting this in eq. 6.11 gives the density profile of all the segments in the chain.

For tethered segment,

Pi (г) =ρgδ(z),

(6.20)


153



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