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Handbook of Size Exclusion Chromatography and Related ...

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Table 2 Molecular Weights <strong>of</strong> PVP<br />

K value Mw Mn<br />

K-15 7,000–12,000 22,500<br />

K-30 40,000–65,000 210,000<br />

K-60 350,000–450,000 2100,000<br />

K-90 900,000–1,500,000 2360,000<br />

K-120 2,000,000–3,000,000 —<br />

If a K value vs. absolute weight-average molecular weight equation or table<br />

is available for PVP, then the K value can be easily determined from relative<br />

viscosity. Such a relationship, developed by Senak et al., is shown in the equation<br />

log Mw ¼ 2:82 log K þ 0:594 <strong>and</strong> in Table 3 for commercial grades <strong>of</strong><br />

unfractionated PVP (L Senak, CS Wu, EG Malawer, unpublished results). It<br />

should be pointed out here that the K value is a function not only <strong>of</strong> molecular<br />

weight but also <strong>of</strong> molecular weight distribution <strong>and</strong> branching.<br />

2.2 Molecular Weights <strong>of</strong> VP-Based Copolymers<br />

Most VP-based copolymers are also characterized by K value. However, the<br />

literature on molecular weights <strong>of</strong> VP copolymers is very sparse. Wu <strong>and</strong> Senak<br />

reported in 1990 (5) the absolute molecular weights <strong>of</strong> cationic copolymers <strong>of</strong><br />

quaternized vinyl pyrrolidone <strong>and</strong> dimethylaminoethyl methacrylate by size<br />

Table 3 K Value vs. Weight-Average Molecular Weight for PVP a<br />

K value Mw (AMU) K value Mw (AMU)<br />

10 2,594 70 626,869<br />

15 8,139 75 761,505<br />

20 18,319 80 913,511<br />

25 34,371 85 1,083,831<br />

30 57,475 90 1,273,397<br />

35 88,771 95 1,483,135<br />

40 129,363 100 1,713,957<br />

45 180,326 105 1,966,770<br />

50 242,714 110 2,242,474<br />

55 317,558 115 2,541,955<br />

60 405,870 120 2,866,099<br />

65 508,646<br />

a The calculations are based on the regression formula logMw ¼ 2:82 log K þ 0:594.<br />

© 2004 by Marcel Dekker, Inc.

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