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)
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