Quantum Mechanics of Insitu Synthesis of Inorganic Nanoparticles with in Anionic Microgels

TL;DR

This paper explores the quantum mechanical interactions within anionic microgels that facilitate the in situ synthesis of inorganic nanoparticles, focusing on the energy dynamics and electronic oscillations involved.

Contribution

It introduces a quantum mechanical model describing the energy and electronic behavior of nanoparticles synthesized within microgels, a novel approach to understanding their formation.

Findings

Hamiltonian derived for oscillating electronic cloud

Interaction potential influences nanoparticle synthesis feasibility

Electronic cloud exhibits oscillatory behavior under net interactions

Abstract

In this work, we discuss the quantum mechanics of many-body systems i.e. hybrid microgel consisting of negatively charged anionic microgels possessing thick sheath of water molecules solvating its protruding anionic moieties and nanoparticle captivated with in it. Thermodynamic feasibility of synthesis of particular nanoparticle with in the microgel is dependent upon the magnitude of interaction between nanoparticle, water molecules and microgel relative to sum of magnitude of self-interaction between counterions and interaction between counterions and microgel. Nanoparticles synthesized with in the microgels have thick electronic cloud that oscillates under the influence of net interaction potential of charged anionic moieties and solvent water molecules. Hamiltonian describing energy of oscillating electronic cloud wrapped around nanoparticle is mathematically derived to be equal to product of integral of electron density and its position vector overall space multiplied with net electric force acting on the oscillating electronic cloud of nanoparticle.