Setting up Your Energy Derivatives Policy

2005 ◽  
pp. 55-59
Author(s):  
Peter C. Fusaro ◽  
Tom James
Keyword(s):  
Author(s):  
Philippe Ghosez ◽  
Javier Junquera

Taking a historical perspective, we provide a brief overview of the first-principles modeling of ferroelectric perovskite oxides over the past 30 years. We emphasize how the work done by a relatively small community on the fundamental understanding of ferroelectricity and related phenomena has been at the origin of consecutive theoretical breakthroughs, with an impact going often well beyond the limit of the ferroelectric community. In this context, we first review key theoretical advances such as the modern theory of polarization, the computation of functional properties as energy derivatives, the explicit treatment of finite fields, or the advent of second-principles methods to extend the length and timescale of the simulations. We then discuss how these have revolutionized our understanding of ferroelectricity and related phenomena in this technologically important class of compounds. Expected final online publication date for the Annual Review of Condensed Matter Physics, Volume 13 is March 2022. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.


Minerals ◽  
2018 ◽  
Vol 9 (1) ◽  
pp. 16 ◽  
Author(s):  
Maurizio Destefanis ◽  
Corentin Ravoux ◽  
Alessandro Cossard ◽  
Alessandro Erba

An effective algorithm for the quasi-harmonic calculation of thermo-elastic stiffness constants of materials is discussed and implemented into the Crystal program for quantum-mechanical simulations of extended systems. Two different approaches of increasing complexity and accuracy are presented. The first one is a quasi-static approximation where the thermal dependence of elastic constants is assumed to be due only to the thermal expansion of the system. The second one is fully quasi-harmonic, takes into account thermal expansion, and explicitly computes Helmholtz free energy derivatives with respect to strain. The conversion of isothermal into adiabatic thermo-elastic constants is also addressed. The algorithm is formally presented and applied to the description of the thermo-elastic response of the forsterite mineral.


1990 ◽  
Vol 166 (2) ◽  
pp. 180-188 ◽  
Author(s):  
János G. Ángyán ◽  
François Colonna-Cesari ◽  
Orlando Tapia

1990 ◽  
Vol 92 (8) ◽  
pp. 4924-4940 ◽  
Author(s):  
Henrik Koch ◽  
Hans Jo/rgen Aa. Jensen ◽  
Poul Jo/rgensen ◽  
Trygve Helgaker ◽  
Gustavo E. Scuseria ◽  
...  

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