Crystal Structure Prediction and its Application in Earth and Materials Sciences
Crystal Structure Prediction and its Application in Earth and Materials Sciences
Qiang Zhu
Feb 18, 2013
1 Abstract
2 Dedication
3 Acknowledgements
1 Background
1 Crystal structure prediction
1.1 History of USPEX
2 Applications
2.1 Materials/Minerals under extreme condition
2.2 Searching for materials with desired properties
3 Organization of this thesis
2 Methods
1 Global optimization
1.1 Energy landscape
1.2 Global optimization methods
1.3 Evolutionary algorithm
1.4 Variation operator
1.5 Fingerprint: to prevent premature convergence
1.6 Performance and extensions
2 Local optimization
2.1 Empirical potentials
2.2 Semi-empirical potentials
2.3 Quantum simulation and density functional theory
2.4 Remarks on the selection of potential functions
2.5 Local optimization algorithms
2.6 Computational codes
3 Post crystal structure prediction
3.1 Lattice dynamics and phonons
3.2 Frozen phonons
3.3 Theory of the quasi-harmonic approximation
3 Constrained evolutionary algorithm for structure prediction of molecular crystals: methodology and applications
1 Introduction
2 Methodology
3 Tests and applications
3.1 Ice
3.2 Methane
3.3 Ammonia
3.4 Carbon dioxide
3.5 Benzene
3.6 Glycine
3.7 Butane-1,4-diammonium dibromide
3.8 Inorganic crystals
4 Discussion and conclusions
4 First-Principles determination of the structure of magnesium borohydride
1 Introduction
2 Methods
3 Mg(BH
)
at ambient condition
4 Mg(BH
)
at high pressure
5 Conclusions
5 Stability of xenon oxides at high pressures
1 Introduction
2 Methods
2.1 Crystal Structure Prediction
2.2 Chemical bonding analysis
3 Results
3.1 New Stoichiometries in Xe-O System
3.2 Electronic Structure
3.3 Xenon in the Earth’s lower mantle
4 Conclusions
6 Novel Stable Compounds in the Mg-O System under High Pressure
1 Introduction
2 Methods
3 Thermodynamically stable compounds in the Mg-O system
3.1 Exploring phase stability at high oxygen fugacities: MgO-O system and stable peroxide MgO
3.2 Phase diagram of the Mg-MgO system: Mg
O
is an exotic stable compound
3.3 Possible role of the new compounds in planetary interiors
4 Electronic Structure
5 Conclusions
7 Denser than Diamond:
Ab initio
Search for Superdense Carbon Allotropes
1 Introduction
2 Methods
3 Results
3.1 Crystal Structures
3.2 Optical Properties
4 Conclusions
8 Evolutionary Metadynamics: a Novel Method to Predict Crystal Structures
1 Introduction
2 Methodology
3 Tests
3.1 SiO
3.2 MgSiO
3.3 Al
SiO
4 Applications: Systematic search for low-enthalpy
carbon allotropes
4.1 Starting from graphite-2H
4.2 Starting from graphite-3R
4.3 Properties
5 Conclusions
9 Appendix1: Xenon oxides at high pressures
1 Crystallographic data
2 Chemical reactions for Xe-O system
3 Electronic structure
10 Appendix2: Low-enthalpy
carbon allotropes from evolutionary metadynamics simulation
1 Crystallographic data
2 Properties
3 Phonon dispersions
4 Bibliography
Crystal Structure Prediction and its Application in Earth and Materials Sciences