SEDIMENTATION BEHAVIOR OF CHEMICALLY REACTING SYSTEMS
SEDIMENTATION BEHAVIOR OF CHEMICALLY REACTING SYSTEMS
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DOI:
10.1073/pnas.58.1.45
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发表时间:
1967-01-01
影响因子:
11.1
通讯作者:
BETHUNE, JL
中科院分区:
文献类型:
--
作者:
KEGELES, G;RHODES, L;BETHUNE, JL
Since the ultracentrifuge is operated at moderate to high speeds for analytical sedimentation velocity experiments' as well as for density-gradient experiments2'3 and band-sedimentation experiments, 4 high pressures of the order of 100 500 atm may be generated at the cell bottom. It has been shown that the gradient of the logarithm of the equilibrium constant follows the molar volume of reaction, which leads to very large pressure effects for reacting macromolecules at high speeds. 5 Examples of the magnitude of these effects are shown in Table 1. The consequences of such enormous changes of the equilibrium constant in a condensed system must be taken into account in all high-speed ultracentrifugation. Some effects on three types of experiments will be pointed out here. Velocity Sedimentation.-This procedure is performed at high speeds, traditionally at as high a speed as attainable, to improve resolving power. It is the most standardized procedure for the analysis of mixtures. 1 The complications consequent upon chemical reactions between the separating species were first treated quantitatively for isomerizations, 6 polymerizations, 7 and bimolecular complex formation. 8 These authors did not take into account the effect of pressure on the reactions, nor did subsequent refinements. 9-'3 Thus their treatments apply directly to moving-boundary electrophoresis, but are inapplicable to ultracentrifugation without further serious correction for the effect of pressure. In a direct reapplication of the countercurrent distribution analogue calcula-tions,'3 we have now included the effect of pressure by calculating the equilibrium constant K (x) for the chemical reaction at each position x according to In K (x)= In K (xo)-(AV/RT) p (w2/2)(X2-x02).(1) Here xo represents the radius of rotation at the top surface of the liquid, AV is the molar volume of reaction, R the molar gas constant, T the absolute temperature, p the solution density, and w the angular velocity of the rotor. At each level, all species concentrations are required to satisfy the local valueof the equilibrium constant.