Abstract

A relation between topological indices and thermodynamics properties of terbium IV oxide has been established by using a rational method as it was found the most efficient method based on mean squared error (MSE). Terbium IV oxide has huge application as an insulator in modern technologies such as microelectronics, gas detectors, and luminiferous owing to mechanical and thermal stability, high dielectric constant, radiation resistance, and variable electrical conductivity. The chemical graph and topological indices have attracted the research community due to their potential application in discrete mathematics, biology, and chemistry. Our commitment is to investigate topological indices and thermodynamic properties of terbium IV oxide that depend on an innovative data utilitarian. Moreover, a relationship between topological indices and curve fitting has been established as an application point of view. All curve fittings have been found using MATLAB software.

Highlights

  • Terbium, a rare earth metal, is a member of the 4f series of the periodic table called lanthanides and has electronic configuration [Xe] 4f96s2

  • Except for promethium, lanthanides are nonradioactive in nature [1, 2]. e synthesis of terbium IV oxide conventionally uses the precipitation approach, but newly designed self-propagation high-temperature synthesis (SHS) provides the high yield of weakly agglomerated nanosized powder of terbium IV oxide. e flow sheet of this process is given in Figures 1 and 2 [3]

  • It is found that various oxidation states cause changes in the stoichiometry of terbium IV oxide that predetermines variations in its optical properties, making it useful for the aforementioned applications as well as in Fresnel lenses, pigments, antireflection layers, and photoelastic films [6, 7]

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Summary

Introduction

A rare earth metal, is a member of the 4f series of the periodic table called lanthanides and has electronic configuration [Xe] 4f96s2. It is found between the (n − 1)d and ns block elements and has properties identical to d-block elements. Terbium compounds are brightly fluorescent, and most terbium supplies are used to produce green phosphorous worldwide that allow trichromatic lighting [8]. It is often used as a dopant for fuel-cell materials and crystalline solid-state devices. In a crystal of terbium oxide, oxygen atoms are located in the cubic closed packed terbium atoms (Figure 1) [10]

White terbium IV oxide product
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