Plasmon energy and microhardness of BxAl1-xSb alloys: semi-empirical prediction

Abstract

Based on the reflective index reported in the literature, the present work aims to investigate the plasmon energy, the microhardness and the homopolar band gap energy of BxAl1-xSb ternary semiconducting alloys as a function of boron concentration x in the range 0 –1. We found that both the plasmon energy and the microhardness of BxAl1-xSb alloys change gradually but not monotonically with increasing of boron concentration x from 0 to 1, while the homopolar band gap energy increases monotonically with enhancing of x. We emphasize that a boron concentration x dependent plasmon energy and microhardness between 0 and 1 is extremely unusual behavior for BxAl1-xSb alloys. Normally, both plasmon energy and the microhardness monotonically increase with increasing boron concentration x as it was mentioned in the literature. The plasmon energy of AlSb and BSb was found to be 16.14 and 15.58 eV, respectively. Our value (16.14 eV) of the plasmon energy for AlSb compound is higher than the result (13.8 eV) reported by Böer and Pohl. The minimum of the plasmon energy was found to be 14.4 eV for both B0.5Al0.5Sb and B0.625Al0.375Sb alloys. The microhardness of AlSb was found at around 7.56 GPa, while that of BSb was found to be 6.51 GPa. Similar to the plasmon energy, the minimum value of the microhardness was found to be 4.45 GPa for both B0.5Al0.5Sb and B0.625Al0.375Sb alloys.

Elastic wave speeds, Debye temperature and microhardness of YX3 (X = In, Sn, Tl and Pb) intermetallic compounds

“…The obtained values of the Young's modulus and the Poisson's ratio for YX3 (X = In, Sn, Tl, and Pb) materials are tabulated in Table 2. There are different relationships frequently employed to predict the hardness H of the materials [25][26][27][28][29][30]. We calculate the Vickers microhardness HV of YX3 (X = In, Sn, Tl, and Pb) materials using the following expression [31,32]:…”

Quasi-linear correlation between shear and young’s moduli in some polycrystalline ceramics

“…The calculated values of the Poisson's ratioυ and Vickers hardness HV forceramics are also plotted in Figure 2. We could see clearly that the HV decreases exponentially with increasing Poisson's ratio υ. Bioud and Benchiheub [51] studied the pressure effect on some physical properties of calcium oxide material, and found a correlation between the bulk modulus B and the microhardness H. Zhang et al [18] have mensioned that the Young's modulus is correlated with most mechanical properties including tensile strength, hardness, bending strength, and fracture toughness, while Mezouar and Logzit [52] have studiedthe microhardness of BxAl1-xSb alloys using semi-empirical approach. It is well know that the Diamond is the hardest material on earth having HV in the range of 70 -150 GPa [53].…”