The local, eigenfunction-weighted acoustic phonon density of states (DOS) tensor is calculated for a model substrate consisting of a semi-infinite isotropic elastic continuum with a stress-free surface. On the surface, the local DOS is proportional to the square of the frequency v, as for the three-dimensional Debye model, but with a constant of proportionality that is considerably enhanced com...

We test the validity of the mean-field approximation in Poisson-Nernst-Planck theory by contrasting its predictions with those of Brownian dynamics simulations in schematic cylindrical channels and in a realistic potassium channel. Equivalence of the two theories in bulk situations is demonstrated in a control study. In simple cylindrical channels, considerable differences are found between the...

The mean-square relative displacements ~MSRD! of atomic pair motions in crystals are studied as a function of pair distance and temperature using the atomic pair distribution function ~PDF!. The effects of the lattice vibrations on the PDF peak widths are modelled using both a multi-parameter Born–von Karman ~BvK! force model and a single-parameter Debye model. These results are compared to exp...

We report that a shorter Debye length and, as a consequence, decreased colloidal stability are required for the molecular interaction of folic acid-modified Au nanoparticles (Au NPs) to occur on a surface-bound receptor, human dihydrofolate reductase (hDHFR). The interaction measured using surface plasmon resonance (SPR) sensing was optimal in a phosphate buffer at pH 6 and ionic strength excee...

One hundred years after the original formulation by Petrus J.W. Debije (aka Peter Debye), the Debye Scattering Equation (DSE) is still the most accurate expression to model the diffraction pattern from nanoparticle systems. A major limitation in the original form of the DSE is that it refers to a static domain, so that including thermal disorder usually requires rescaling the equation by a Deby...

Using the mixed solvents, (water +ethanol + propanol), the solubility of CdF2 was determined byevaporating method at 25° C. The results showed that the sollbility, s, of CdF2 decreases bydecreasing the dielectric constant of the mixed solvent .Once the solubility of CdF2 was determined,the concentration solubility product, Ksp(c)=4s3, was calculated .Furthermore ,by estimating the meanactivity ...

We present an embedded-atom-method (EAM) model that accurately describes the vibrational dynamics in the alkali metals Li, Na, K, Rb and Cs. The bulk dispersion curves, frequency-moment Debye temperatures and temperature-dependent entropy Debye temperatures are all in excellent agreement with experimental results. The model is also well suited for studying surface vibrational dynamics in these...

Articles you may be interested in Short-time kinetics of an irreversible bimolecular solution reaction: Asymptotic prediction by a non-Markovian Smoluchowski approach Smoluchowski-type theory of stochastically gated diffusion-influenced reactions Geminate recombination in excitedstate protontransfer reactions: Numerical solution of the Debye–Smoluchowski equation with backreaction and compariso...

Abstract Considering the promising utility of devices operating for high magnetic fields in noninvasive medical diagnostic applications such as resonance imaging, a microfiber-based magnetometer an extensive dynamic range actuated via NiFe 2 O 4 ferrite fluid is presented and proposed first time this paper. nanoparticles with mean diameter 37 nm (derived from Debye–Scherer’s formula) are prepar...