
8
[A.1-2]
Y
Y
C
C
i
i
i
i
∑
∑
=
But,
[A.1-2a]
C
C V
V
i
s s
∑
=
∆
where,
C
s
= Concentration of sample injected
V
s
= Volume of sample injected
∆
V
= Elution volume increment
Therefore it can be written that,
[A.1-2b]
C
Y
Y
C V
V
i
i
i
s s
=
∑
∆
The viscometer provides a signal likewise proportional to the specific viscosity of the sample.
[A.1-3]
η
sp
DP
IP
DP
=
−
4
2
where,
η
sp
= Specific viscosity
DP
= Differential pressure
IP
= Inlet pressure
Equation [A.1-3] can easily be solved for the differential pressure value,
DP
:
(
)
η
sp
IP
DP
DP
−
=
2
4
η
η
sp
sp
IP
DP
DP
=
+
4
2
(
)
η
η
sp
sp
IP
DP
=
+
2
2
[A.1-3a]
DP
IP
i
sp i
sp i
i
=
+
1
2 2
η
η
These are the two primary pieces of information provided by the refractometer and
viscometer detectors. Taken together, the specific viscosity and concentration permit the
calculation of intrinsic viscosity of the sample at every elution point.
1
1
Equation [
A.1-
4] is exact only in the limiting case of infinite dilution of the sample. At normal
concentrations encountered in SEC, it is usually adequate. However, the Viscotek TriSEC software
actually uses an empirical improvement called the Soloman-Gottesman equation to calculate more
accurate intrinsic viscosities. See the TriSEC manual, Part 2.e (Further Derivations) for more details.