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112
2.2.14. The persistence
length
The definition of the persistence length is in fact based on the vector model
used earlier for random coils (freely jointed chains):
Mathematically, the persistence length is defined the dot product the ‘end-to-
end vector’ and the unity vector of monomer one (i.e. direction of the first
vector):
The persistence length is, fortunately, directly related to the characteristic
ration (proof not given):
C
∞
=
2
q
l
−
1
Her, l is the length of the monomer (typically in the range 0.4-0.5 nm for
common monosaccharides like glucose, mannose, mannuronic acid etc.(1,3,
1,4 or 1,6 linked).
q
=
l
1
l
1
i
r
=
l
1
l
1
i
l
i
i
=
1
∑
n
→ ∞
(
)
r = end-to-end vector
Direction of first vector
a