Abstract

The earliest models used in the study of lattice structures are mean field theories, which do not contain structural dependence. The Lattice Compatibility Theory (LCT) proposes here a novel framework where the measure of the disorder is based on Urbach tailing features and lattice matching features between the host matrix and doping agent intrinsic structures. This study has been implemented on a particular compound (BTO:Co) and refers to the Simha-Somcynsky (SS) theory, a mean field theory where the measure of the disorder is stated as holes.

Highlights

  • The knowledge of doping agents behaviors within host lattice matrix is of considerable importance for the optimal design for applications such as semiconductor windows functional glasses, transparent electrodes in flat panel displays, buffer layers, and solar cells [1,2,3,4,5,6,7,8,9]

  • The first theories based on mean field theory and independent from the design of lattice structures failed in the statistical thermodynamics of branched macromolecules

  • The presented work showcases some fundaments of the Lattice Compatibility Theory (LCT) framework in relation with the precedent Simha-Somcynsky theory-linked analyses

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Summary

Introduction

The knowledge of doping agents behaviors within host lattice matrix is of considerable importance for the optimal design for applications such as semiconductor windows functional glasses, transparent electrodes in flat panel displays, buffer layers, and solar cells [1,2,3,4,5,6,7,8,9]. Dee and Walsh [2, 3] proposed the lattice theory as a tool for depicting the thermodynamic properties of heterogeneous structures.

Theoretical Fundaments
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