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211
Inserting into the main equations yields the following equations:
In practise these equations do to accurately describe the degradation in the
oligomer range because the linkages to terminal sugars (esp. the non-
reducing end in acid hydrolysis) often are cleaved faster, leading to a higher
amount of monomers than predicted by the equations above.
ln 1
−
α
(
)
= −
kt
≠ −
α
(
)
α
=
1
−
e
−
kt
(Starting with infinitely long chain)
α
=
α
0
+
(1
−
e
−
kt
) (Starting with chain of finite length)
1
DP
n
=
1
DP
n
,0
+
(1
−
e
−
kt
)
1
M
n
=
1
M
n
,0
+
(1
−
e
−
kt
)
M
0
1
M
w
=
1
M
w
,0
+
(1
−
e
−
kt
)
2
M
0