Local Existence Result of Dopant Diffusionincluding Chains of Clusters

Local Existence Result of the Single Dopant Diffusion including Cluster Reactions of High Order

We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions. The model includes a nonlinear system of reaction-drift-diffusion equations, a nonlinear system of ordinary differential equations in Banach spaces, and a nonlinear elliptic equation for the electrochemical potential. The l...

Local Existence Result of the Single Dopant Diffusionin Arbitrary Space Dimensions

Local Existence Result of the Dopant Diffusion in Arbitrary Space Dimensions

In this paper we consider the pair diffusion process in more than two spatial dimensions. In this case we are able to prove just a local existence result, since it is not possible to deduce global a priori estimates for the equations as it can be done in the two-dimensional case. The model includes a nonlinear system of reaction-drift-diffusion equations, a nonlinear ordinary differential equat...

The Single Dopant Diffusion in Arbitrary Space Dimension

In this paper we consider the pair di usion process in more than two spatial dimensions. In this case we are able to prove just a local existence result, since it is not possible to deduce global a priori estimates for the equations as it can be done in the two dimensional case. The model includes a nonlinear system of reaction{ drift{di usion equations, a nonlinear ordinary di erential equatio...

X-ray spectroscopy reveals high symmetry and electronic shell structure of transition-metal-doped silicon clusters

Size-selected cationic transition-metal-doped silicon clusters have been studied with x-ray absorption spectroscopy at the transition-metal L2,3 edges to investigate the local electronic structure of the dopant atoms. For VSi16 + , the x-ray absorption spectrum is dominated by sharp transitions which directly reveal the formation of a highly symmetric silicon cage around the vanadium atom. In s...