Modeling of the Electronic Properties of Hexagonal Semiconductors

Abstract

This paper seeks to investigate the solvability of physical problem by utilizing the mathematical theory of differential equation. A new mathematical model based on mathematical modeling and differential equation is created. The objectives of this work sets up to model ionicity factor based on lattice constants (c/a) of hexagonal structure semiconductors using density functional theory (DFT) of full-potential linear augmented plane wave (FP-LAPW) within Engel Vosko-General Gradient Approximation (EV-GGA). Our determined values are in agreement with experimental and theoretical results.

Mathematical Modeling of the Calculation of Uranium Concentrations in the Urine Samples of the Factories Workers due to the Number of Working Years

“…1. While in Glasses factory, the error percent was 0.00 in the working years that extend from (6)(7)(8)(9)(10). This reflects a well conformity between the resulted values and the experimental data as shown in Table and Fig.…”

“…The goal of this work is to create a mathematical model which is proposed to calculate the averages of uranium concentrations in urine samples for workers working in factories according to the number of their working years. The mathematical model is constructed by counting on several manual attempts to find the suitable mathematical equation in conducting the calculations [8,9]. So after several trials, depending on general guidelines and typical steps followed in constructing the proposed mathematical model, it is found that the best mathematical model is given as:…”

Using Least squares methods and nonlinear regression Methods to Calculate the Approximate Value of Ionicity in Terms of the Energy Gap

“…In recent years, there have been many studies on the subject of estimation. Arif studied the Mathematical Modeling of Physical Properties for Hexagonal Binaries, and he found a relationship between iconicity and energy gap throughout constructing a mathematical model depending on manual attempts [2,3,4]. While, in this study, a mathematical model is formed by depending on numerical analysis and statistical method to find the iconicity factor in terms of energy gap.…”

“…The obtained calculated values are in accordance with experimental and theoretical results. [5,6] 2. Numerical Analysis Methods: the least squares method By applying the numerical analysis method, which is named the least squares method, we take three types of methods: the first method is linear, the second one is polynomial nonlinear of second order, while the third method is the exponential nonlinear.…”