1980 **Abstract:** The formalism for the calculation of translational friction coefficients of symmetric top macromolecules presented in a previous paper [M. M. Tirado and J. Garcia de la Torre, J. Chem. Phys. 71, 2585 (1979») is here extended to the evaluation of rotational friction and diffusion coefficients. We show how the introduction of symmetry considerations leads to a great reduction of the computational requirements needed to solve the hydrodynamic interaction equations. We also obtain the translation-rotation coupling…

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“…Weight analyses of the DLS data showed an average hydrodynamic radius (R h ) of 3.1 nm for (1) n and 4.0 nm for (2) n at 10°C (Table 1, entries 1 and 2). The lengths of the assemblies were estimated by using the Broersma (32-34) and Tirado and Garcia de la Torre (35,36) relations, which were applied previously to type I collagen (37). The estimated lengths of 14-18 nm for (1) n and 22-26 nm for (2) n indicate that the most prevalent assemblies consist of two to three monomer units.…”

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“…Weight analyses of the DLS data showed an average hydrodynamic radius (R h ) of 3.1 nm for (1) n and 4.0 nm for (2) n at 10°C (Table 1, entries 1 and 2). The lengths of the assemblies were estimated by using the Broersma (32-34) and Tirado and Garcia de la Torre (35,36) relations, which were applied previously to type I collagen (37). The estimated lengths of 14-18 nm for (1) n and 22-26 nm for (2) n indicate that the most prevalent assemblies consist of two to three monomer units.…”

“…The lengths of assemblies (1) n and (2) n were estimated from the R h values measured with DLS by using the Broersma relations (32-34) and Tirado and Garcia de la Torre relations (35,36), as described for collagen (37).…”

“…A bacterium can be approximated by a long rod of length l and radius r. Assuming that the rod aligns the surrounding director parallel to its axis, the stabilizing elastic torque acting on the rod misaligned by an angle α ¼ ϕ − θ is Γ el ¼ 4πKlα= lnð2l=rÞ, where K is the average value of the Frank elastic constant [42]. The viscous torque is approximated as Γ visc ¼ κη∂ t α, where κ ¼ πl 3 =3½lnðl=2rÞ − 1=2 is the geometrical friction factor for a prolate ellipsoid [43] of an aspect ratio close to that of a bacterium, l=2r ≈ 7, and η is the effective drag viscosity that depends on the director orientation. Thus, the relaxation time is…”

“…More recently numerical results for arbitrary shapes have also been obtained. [25][26][27][28][29] Another path involves extracting diffusion coefficients from experimental observables, such as fluorescence depolarization, 30,31 light scattering, 32,33 forced Rayleigh scattering, 34 electric birefringence 35 and nuclear magnetic resonance ͑NMR͒ spectral parameters. 5,[36][37][38] Finally, the advent of computer simulations has opened the door to direct simulations of diffusion, which enable both validation of theoretical models and insight into atomic-level phenomena responsible for experimentally observed effects.…”