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Handbook of Size Exclusion Chromatography and Related ...

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operate at aflow rate that can easily be maintained with the available HPLC<br />

instrumentation. Recent studies have demonstrated that capillary SEC columns<br />

can be packed with equivalent or higher efficiencythan SEC columns <strong>of</strong> st<strong>and</strong>ard<br />

dimensions. An example is shown in Fig. 2, in which the efficiency <strong>of</strong> 28- <strong>and</strong><br />

50-mm ID columns were evaluated using bovine serum albumin (BSA), chicken<br />

ovalbumin, <strong>and</strong> bovine a-chymotrypsinogen as test solutes at linear velocities<br />

(based on atotally excluded solute) varying from 0.01 to 0.9 mm/s (49). The<br />

microcolumnswerepackedwith4.5-mm,150 A ˚ ,ZorbaxGF-250XLparticlesthat<br />

were treated with azirconium salt <strong>and</strong> derivatized with adiol functionality.The<br />

diffusion coefficients ( 10 7 cm 2 /s) for these proteins, ranging in molecular<br />

weight from 69,000 to 43,000 <strong>and</strong> 26,000, were experimentally determined to be<br />

5.65,6.68,<strong>and</strong>8.23,respectively.Notethattheoptimumreducedplateheightwas<br />

as low as 2for BSA <strong>and</strong> as high as 4for a-chymotrypsinogen. In all cases, the<br />

reduced velocity at hmin was approximately 5. As measured by the half-height<br />

method, the efficiency <strong>of</strong> a30 cm 50 mm ID column compared favorably with<br />

that <strong>of</strong> ast<strong>and</strong>ard 25 cm 9.4 mm ID column filled with the same packing<br />

material, <strong>and</strong> the performance <strong>of</strong> the capillary column was much better when<br />

calculated by statistical moments or based on the Dorsey–Foley equation (50).<br />

Because<strong>of</strong>thelargerIDwhenoperatingast<strong>and</strong>arddiameterSECcolumnat<br />

aflowrate<strong>of</strong>1mL/min,thelinearvelocityis2.5timeslowerthanwhenthesame<br />

flowrateisusedona4.6-mmIDcolumn.Thus,anSECcolumnisoperatedcloser<br />

to the velocity at which the column performs at optimal efficiency.As discussed,<br />

however, at least a10-fold drop in flow rate is required for the column to perform<br />

near its optimum for most proteins. This effect is illustrated in Fig. 3, in which a<br />

protein test mixture is separated at various flow rates on a25 cm 4.1 mm ID<br />

column packed with 10-mm, 250 A ˚ ,amide-bonded silica (51). Clearly,resolution<br />

improves with decreasing flow rate: the optimum efficiency had not yet been<br />

reached at aflow rate <strong>of</strong> 65 mL/min or alinear velocity at 0.13 mm/s.<br />

AccordingtoEq.(2),reducedvelocityisinverselyproportionaltothesolute<br />

diffusion coefficient. Under the same conditions, solutes <strong>of</strong> varying molecular<br />

weightshowoptimalcolumnperformanceatdifferentflowrates.Thisisillustrated<br />

in Fig. 4. The relationship between the logarithm <strong>of</strong> molecular weight (MW) <strong>and</strong><br />

the otimal flow rate is plotted for 50 peptides <strong>and</strong> glycine (MW 50–10,000)<br />

analyzed under denaturing mobile-phase conditions (52). As shown, the optimal<br />

flow rate is inversely <strong>and</strong> linearly related to log MW. Over the narrow molecular<br />

weight range, the optimum flow rate decreases roughly 2-fold for a 10-fold<br />

increase in molecular weight.<br />

2.5 Porosity<br />

Except for nonporous particles, all packing materials contain a variation <strong>of</strong> pore<br />

sizes around a mean value. This pore size distribution determines the range <strong>of</strong><br />

© 2004 by Marcel Dekker, Inc.

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