Rotational Diffusion Constant of a Cylindrical Particle

@article{broersma60a, abstract = {The torque constant of a closed cylinder rotating in a viscous medium has been calculated for length (2a) over width (2b) ratios larger than 3.5 to within a first order in b/a. The analysis demonstrates how the contributions to the viscous dissipation tend to be underestimated in hydrodynamic considerations so that the geometrical values deduced from them come out too high. Experimental results for the torque on cylindrical rods and ellipsoids for a/b values from 3.5 to 30 are close to the theoretical results. For a/b>10 the difference is about 10\%; for shorter molecules 20\%. With the rotational diffusion constant given by 3kT (—)/8a3, where =log2a/b we obtain best fit with (>2)=1.57–7 (1/—0.28)2±0.25. Experimental data for the rotational diffusion constant of a cylindrical virus (a/b=20) in water, obtained by O'Konski and Haltner agree with this result within 10\%. The length of the protein fits within 3\%. {\copyright}1960 American Institute of Physics}, author = {Broersma, S. }, citeulike-article-id = {1203670}, doi = {10.1063/1.1730994}, journal = {The Journal of Chemical Physics}, keywords = {diffusion, fluid-mechanics, rods, rotation, theory}, number = {6}, pages = {1626--1631}, posted-at = {2007-11-25 15:25:38}, priority = {2}, publisher = {AIP}, title = {Rotational Diffusion Constant of a Cylindrical Particle}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=JCPSA6000032000006001626000001\&idtype=cvips\&gifs=yes}, volume = {32}, year = {1960} }

TY - JOUR ID - broersma60a L3 - citeulike-article-id:1203670 TI - Rotational Diffusion Constant of a Cylindrical Particle JF - The Journal of Chemical Physics VL - 32 IS - 6 SP - 1626 EP - 1631 PB - AIP N2 - The torque constant of a closed cylinder rotating in a viscous medium has been calculated for length (2a) over width (2b) ratios larger than 3.5 to within a first order in b/a. The analysis demonstrates how the contributions to the viscous dissipation tend to be underestimated in hydrodynamic considerations so that the geometrical values deduced from them come out too high. Experimental results for the torque on cylindrical rods and ellipsoids for a/b values from 3.5 to 30 are close to the theoretical results. For a/b>10 the difference is about 10%; for shorter molecules 20%. With the rotational diffusion constant given by 3kT (—)/8a3, where =log2a/b we obtain best fit with (>2)=1.57–7 (1/—0.28)2±0.25. Experimental data for the rotational diffusion constant of a cylindrical virus (a/b=20) in water, obtained by O'Konski and Haltner agree with this result within 10%. The length of the protein fits within 3%. ©1960 American Institute of Physics KW - diffusion KW - fluid-mechanics KW - rods KW - rotation KW - theory AU - Broersma, S PY - 1960/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JCPSA6000032000006001626000001&idtype=cvips&gifs=yes ER -