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Handbook of Size Exclusion Chromatography and Related ...

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composition <strong>of</strong> the different deposited dried fractions. However, the poor film<br />

morphology produced by the evaporative interface can seriously affect the FTIR<br />

spectral accuracy, <strong>and</strong> a film posttreatment may be required (17–19). On-line<br />

densimeters are, in general, less sensitive than DRs (20).<br />

The instantaneous molar mass is also difficult to estimate. In the more<br />

normal situation, in-line molar mass sensors are not available, <strong>and</strong> a molecular<br />

weight calibration is employed. Since copolymer st<strong>and</strong>ards are, in general,<br />

unavailable, the universal calibration is generally employed (21,22). The universal<br />

calibration assumes that at any elution volume V, the hydrodynamic volume is<br />

proportional to fM(V) [h](V )g, where M is the molar mass <strong>and</strong> [h] isthe<br />

intrinsic viscosity. Unfortunately, this concept yields only approximate molar<br />

masses. This is because fM(V) [h](V)g represents the hydrodynamic volume <strong>of</strong><br />

flexible molecules under Q-conditions, while good solvents are used in SEC.<br />

Furthermore, to transform [h] into molar mass, the Mark–Houwink parameters <strong>of</strong><br />

the analyzed copolymer are required. Unfortunately, these parameters are<br />

generally unknown because they depend on many variables (not only on the<br />

solvent <strong>and</strong> the temperature, but also on the chemical composition, the molar<br />

mass, the polymer microstructure, <strong>and</strong> the level <strong>of</strong> branching) (23,24). For block<br />

copolymers, it has been suggested to estimate the Mark–Houwink parameters by<br />

interpolation (with the chemical composition) between the Mark–Houwink<br />

parameters <strong>of</strong> the corresponding homopolymers. This procedure includes a<br />

correction term for statistical copolymers with many sequence alternations (25).<br />

Consider the direct molar mass measurement through an intrinsic<br />

viscometer (IV) or a light-scattering (LS) detector. Their signals are proportional<br />

to the instantaneous molar mass (15,16,26–28), <strong>and</strong> for this reason the<br />

measurements are insensitive to low molar masses (e.g., lower than 30,000g/mol).<br />

LS sensors have the advantage <strong>of</strong> not requiring any molecular weight calibration.<br />

However, the specific refractive index increment <strong>of</strong> the instantaneously analyzed<br />

fraction must be a priori known, <strong>and</strong> this information is in general unavailable.<br />

However, even if it were, only an apparent (rather than a true) molar mass would be<br />

determined by LS (15,28). For the IV signal, either the universal calibration or the<br />

Mark–Houwink parameters <strong>of</strong> the analyzed copolymer are required. Both<br />

approaches only produce approximate molar masses, however. In spite <strong>of</strong> all their<br />

limitations, IVs are generally preferred to LS sensors for analysing copolymers,<br />

except for the rather special case where the specific refractive index increments <strong>of</strong><br />

both repeating unit types are identical (14). Through triple detection SEC<br />

(i.e., DR þ IV þ LS sensor) it is in principle possible to characterize a<br />

chromatographically complex polymer without resorting to any molecular weight<br />

calibration (28,29). However, its applicability to copolymers with a varying<br />

composition along the elution volume has not yet been fully demonstrated. Also,<br />

M n may be directly obtained from the IV signal <strong>and</strong> the universal calibration,<br />

without requiring an instantaneous mass measurement (30).<br />

© 2004 by Marcel Dekker, Inc.

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