  We present an easy-to-use analytic toolbox for the calculation of short-time
transport properties of concentrated suspensions of spherical colloidal
particles with internal hydrodynamic structure, and direct interactions
described by a hard-core or soft Hertz pair potential. The considered dynamic
properties include self-diffusion and sedimentation coefficients, the
wavenumber-dependent diffusion function determined in dynamic scattering
experiments, and the high-frequency shear viscosity. The toolbox is based on
the hydrodynamic radius model (HRM) wherein the internal particle structure is
mapped on a hydrodynamic radius parameter for unchanged direct interactions,
and on an existing simulation data base for solvent-permeable and spherical
annulus particles. Useful scaling relations for the diffusion function and
self-diffusion coefficient, known to be valid for hard-core interaction, are
shown to apply also for soft pair potentials. We further discuss extensions of
the toolbox to long-time transport properties including the low-shear
zero-frequency viscosity and the long-time self-diffusion coefficient. The
versatility of the toolbox is demonstrated by the analysis of a previous light
scattering study of suspensions of non-ionic PNiPAM microgels [Eckert et al.,
J. Chem. Phys., 2008, 129, 124902] in which a detailed theoretical analysis of
the dynamic data was left as an open task. By the comparison with Hertz
potential based calculations, we show that the experimental data are
consistently and accurately described using the Verlet-Weis corrected
Percus-Yevick structure factor as input, and for a solvent penetration length
equal to three percent of the excluded volume radius. This small solvent
permeability of the microgel particles has a significant dynamic effect at
larger concentrations.
