Volume dependence of the Grüneisen parameter and maximum compression limit for iron

2007 ◽  
Vol 387 (1-2) ◽  
pp. 409-414 ◽  
Author(s):  
J. Shanker ◽  
B.P. Singh ◽  
H.K. Baghel
Keyword(s):  
Grüneisen Parameter ◽  
Gruneisen Parameter ◽  
Maximum Compression ◽  
Volume Dependence

Volume dependence of superconducting state parameters of bismuth-based binary alloys: A pseudopotential approach

2019 ◽  
Vol 33 (32) ◽  
pp. 1950394
Author(s):  
Hiral Patel ◽  
Priyank Kumar ◽  
N. K. Bhatt ◽  
P. R. Vyas ◽  
V. B. Gohel
Keyword(s):  
Transition Temperature ◽  
Effective Interaction ◽  
Interaction Strength ◽  
Grüneisen Parameter ◽  
Phonon Coupling ◽  
Gruneisen Parameter ◽  
Volume Dependence ◽  
Electron Phonon Coupling ◽  
Strength Formula ◽  
Coulomb Pseudopotential

A comprehensive and systematic study of superconducting state parameters (SSPs) of Bi-based binary alloys of the form [Formula: see text] has been carried out in the framework of pseudopotential theory at different concentrations ([Formula: see text]) of impurity atom-[Formula: see text] in host atom Bi which varies from 0 to 1. Impurity atom [Formula: see text] has been replaced by In, Tl, Sb and Pb to form four alloy systems. The density-based local form of the pseudopotential proposed by Fiolhais et al. has been used in this study to compute SSPs such as electron–phonon coupling strength ([Formula: see text]), Coulomb pseudopotential ([Formula: see text]), transition temperature ([Formula: see text]), effective interaction strength ([Formula: see text] and isotopic effect parameter ([Formula: see text]) of Bi-based binary alloy systems. Computed results of SSPs of alloys under study are in good agreement with available experimental and other theoretical results. In order to investigate the effect of pressure on SSPs of alloys under study, a theoretical calculation of SSPs as a function of compressed volume is reported. The volume dependence of Debye temperature has been accounted by using Debye–Gruneisen model which involves the Gruneisen parameter. Thus, to describe the effect of pressure on SSPs accurately, the value of Gruneisen parameter should be as accurate as possible. But reported results of Gruneisen parameter in the literature are highly scattered. Due to this reason, we have used two sets of Gruneisen parameter obtained by different methods to understand its role in the computation of SSPs as a function of compressed volume. Further, critical volumes for all alloys at different concentration have been predicted at which electron–phonon coupling strength and Coulomb pseudopotential are equal ([Formula: see text]). At critical volume, superconductivity quenches where transition temperature, [Formula: see text], and effective interaction strength, [Formula: see text], become zero. It is observed that critical volumes predicted by all approaches used in this study are in excellent agreement with each other.

Pressure dependence of the Grüneisen parameter and melting temperature of some metals

2021 ◽  
pp. 2150255
Author(s):  
K. Sunil ◽  
D. Ashwini ◽  
Vijay S. Sharma
Keyword(s):  
Experimental Data ◽  
Molecular Dynamics ◽  
Equation Of State ◽  
Pressure Dependence ◽  
High Pressures ◽  
Grüneisen Parameter ◽  
Thermal Equation ◽  
Gruneisen Parameter ◽  
Melting Temperatures ◽  
Volume Dependence

We have used a method for determining volume dependence of the Grüneisen parameter in the Lindemann law to study the pressure dependence of melting temperatures in case of 10 metals viz. Cu, Mg, Pb, Al, In, Cd, Zn, Au, Ag and Mn. The reciprocal gamma relationship has been used to estimate the values of Grüneisen parameters at different volumes. The results for melting temperatures of metals at high pressures obtained in this study using the Lindemann law of melting are compared with the available experimental data and also with the values calculated from the instability model based on a thermal equation of state. The analytical model used in this study is much simpler than the accurate DFT calculations and molecular dynamics.

Comparing research on the pressure or volume dependence of Grüneisen parameter

2007 ◽  
Vol 394 (1) ◽  
pp. 111-114 ◽  
Author(s):  
Xue-cheng Peng ◽  
Ling-ling Xing ◽  
Zheng-hua Fang
Keyword(s):  
Grüneisen Parameter ◽  
Gruneisen Parameter ◽  
Volume Dependence
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