Quantum Mechanical Comparison between Lithiated and Sodiated Silicon Nanowires

TL;DR

This study compares the quantum mechanical properties of lithiated and sodiated silicon nanowires, revealing how optical amplification influences their charge capacities and electron behaviors.

Contribution

It introduces a quantum mechanical model explaining the differences in charge capacity between lithiated and sodiated silicon nanowires based on optical amplification effects.

Findings

Lithiated silicon nanowires support discrete energy states due to optical amplification.

Sodiated silicon nanowires exhibit free electron behavior with near-zero potential energy.

Optical amplification is key to the high charge capacity in lithiated silicon nanowires.

Abstract

This computational research study will compare the specific charge capacity (SCC) between lithium ions inserted into crystallize silicon (c-Si) nanowires versus sodium ions inserted into amorphous silicon (a-Si) nanowires. It will be demonstrated that the potential energy V(r) within the lithium-silicon nanowire supports a coherent energy state model with discrete electron particles while the sodium-silicon nanowire potential energy will be discovered to be essentially zero and thus the electron current that travels through the sodiated silicon nanowire will be modeled as free electron with wave-like characteristics. This is due to the vast differences in the electric fields of the lithiated and sodiated silicon nanowires where the electric fields are of the order of 10^(+10)V/m and 10^(-15) V/m respectively. The main reason for the great disparity in electric fields are due to the present of optical amplification within lithium ions and the absence of this process within sodium ions. It will be shown that optical amplification develops coherent optical interactions which is the primary reason for the surge of specific charge capacity in the lithiated silicon nanowire. Conversely, the lack of optical amplification is the reason for the incoherent optical interactions within sodium ions which is the reason for the low presence of SCC in sodiated silicon nanowires.