Maxwell stress to explain the mechanism for the anisotropic expansion in lithiated silicon nanowires

This computational research study attempts to explain the process that leads tovolume expansion during insertion of lithium ions into a silicon nanowire. Duringlithiation, electrons flow through the nanowire in the opposing direction of lithiumions insertion. This causes an applied electromagnetic field which is described asbeing a quantum mechanical version of photon density wave theory. A series ofevents are calculated as the individual electrons and photons travels through the lithiatedsilicon nanowire. The hypothesis that will be presented employs the Maxwellstress tensor to calculate the refractive indices in three orthogonal directions duringlithiation. The quantum harmonic oscillator and the electromagnetic intensitywill be utilized in this presentation to calculate the energy of electrons and opticalamplification of the electromagnetic field respectively. The main focus of thisresearch study will use electron scattering theory, spontaneous and stimulated emissiontheory to model the breaking of cohesion bonds between silicon atoms thatultimately leads to excessive volume expansion that is witnessed during the lithiationprocess in Si nanowires