Microscopic Properties and Processes in Minerals - NATO Science Series C 1999 edition

Marc Notes: Published in cooperation with NATO Scientific Affairs Division.; Proceedings of the NATO Advanced Study Institute on Microscopic Properties and Processes in Minerals Il Giocco, Lucca, Italy 7-19 September 1998--T.p. verso.; Includes bibliographical references. Table of Contents: Preface. 1. Crystal structures at extremes of pressure and temperature; R. Miletich, R. J. Angel. 2. Equations of state; J.-P. Poirier. 3. Introduction to Raman spectroscopy at extreme pressure and temperature conditions; Ph. Gillet. 4. Thermodynamic properties of minerals at high pressures and temperatures from vibrational spectroscopic data; Ph. Gillet, et al. 5. Introduction to the application of neutron spectroscopy in the Earth Sciences; B. Winkler. 6. Synchrotron radiation and solid state science; C. R. A. Catlow, G. Sankar. 7. In situ structural and kinetic powder diffraction studies of aluminosilicates; G. Artioli. 8. Mineral synthesis by flux growth methods; H. Skogby. 9. Bonding and electronic structure of minerals; R. E. Cohen. 10. Crystal chemistry of metal sulfide minerals; K. Wright, D. J. Vaughan. 11. Introduction to the theory of lattice dynamics; M. T. Dove. 12. Disorder and defects in solids; C. R. A. Catlow. 13. The modelling of bulk diffusion in solids; L. Vocadlo, G. D. Price. 14. Classical computer simulations; A. N. Cormack. 15. Ab initio LCAO periodic simulations of crystal properties. Phase transitions, magnetic and electronic behaviour, X-ray diffraction; M. Catti. 16. Atomic structure of disordered materials; M. T. Dove, D. A. Keen. 17. Principles of solid state NMR spectroscopy and applications to determining local order in minerals; A. Putnis, V. Vinograd. 18. Introduction to the theory of displacive phase transitions; M. T. Dove. 19. Order/disorder phenomena in minerals: ordering phase transitions and solid solutions; M. T. Dove. 20. Phase transitions and Equations of State; R. Miletich, R. J. Angel. 21. IR spectroscopy and hydrogen bonding in minerals; A. Beran, E. Libowitzky. 22. Water in nominally anhydrous minerals; H. Skogby. 23. Contribution of IR spectroscopy to the problem of water in the Earth's mantle; A. Beran. 24. Solubility and diffusion of water' in silicate minerals; D. Kohlstedt, S. J. Mackwell. 25. The theory and simulation of the melting of minerals; L. Vočadlo, G. D. Price. Molecular dynamics computer simulations of silicate glasses; A. N. Cormack. 27. Mineral surface science: principles, applications and case studies; A. Putnis, et al. 28. Atomistic simulation of mineral surfaces and interfaces; N. H. de Leeuw, et al. Publisher Marketing: This is an account of the application of modern physical and chemical techniques to the elucidation of the structures and properties of minerals at the atomic level. Strong emphasis is given to the application of computer modelling methods, spectroscopic techniques and both X-ray and neutron scattering methods. Detailed surveys are presented of the contemporary understanding of the equations of state for Mantle minerals; and special attention is paid to the properties of dissolved water in silicate minerals.

Contributor Bio:  Wright Anne Rice lives in New Orleans with her husband, the poet and painter Stan Rice. Contributor Bio:  North Atlantic Treaty Organization Dedication. Preface. Acknowledgments. Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries.- Geometric algebra Projective Geometries; Affine and other geometries; Affine Geometry of pseudo-euclidean space; Conformal Geometry and the Horosphere; References. Content-Based Information Retrieval by Group Theoretical Methods.- Introduction; Motivating Examples; General Concept; Fault Tolerance.- Applications, Prototypes, and Test Results; Related Work and Future Research; References.- Four Problems in Radar.-Introduction; Radar Fundamentals; Radar Waveforms; Signal Processing; Space-Time Adaptive Processing; Four Problems in Radar; Conclusions. Introduction to Generalized Classical and Quantum Signal and System Theories on Groups and Hypergroups.-Generalized classical signal/system theory on hypergroups; Generalized quantum signal/system theory on hypergroups; Conclusion; References. Lie Groups and Lie Algebras in Robotics.- Introduction -- Rigid Body Motions; Lie Groups; Finite Screw Motions; Mechanical Joints; Invisible Motion and Gripping; Forward Kinematics; Lie Algebra; The Adjoint Representation; The Exponential Map Derivatives of Exponentials; Jacobians; Concluding Remarks; References. Quantum/Classical Interface: a Geometric Approach from the Classical Side.- Introduction Paravector Space as Spacetime; Eigenspinors; Spin; Dirac Equation; Bell's Theorem; Qubits and Entanglement; Conclusions; References. PONS, Reed-Muller Codes, and Group Algebras.- Introduction; Analytic Theory of One-Dimensional PONS (Welti); Shapiro Sequences, Reed-Muller Codes, and Functional Equations; Group Algebras; Reformulation of Classical PONS; Group Algebra of Classical PONS; GroupAlgebra Convolution; Splitting Sequences; Historical Appendix on PONS; References. Clifford Algebras as a Unified Language.- Introduction; Clifford algebras as models of physical spaces; Clifford Algebras as Models of Perceptual Multicolor Spaces; Hypercomplex-Valued invariants of nD multicolor images; Conclusions; Acknowledgments; References. Recent Progress and Applications in Group FFTs.-Introduction; Finite group FFTs; FFTs for compact groups; Noncompact groups; References. Group Filters and Image Processing.- Introduction: Classical Digital Signal Processing; Abelian Group DSP; Nonabelian Groups; Examples; Group Transforms; Group Filters; Line-like Images; Acknowledgments; References. A Geometric Algebra Approach to Some Problems of Robot Vision.- Introduction; Local Analysis of Multi-dimensional Signals; Knowledge Based Neural Computing; Acknowledgments; References. Group Theory in Radar and Signal Processing.- Introduction; How a Radar Works; Representations; Representations and Radar; Ambiguity Functions; The Wide Band Case; References. Geometry of Paravector Space with Applications to Relativistic Physics.- Clifford Algebras in Physics; Paravector Space as Spacetime; Interpretation; Eigenspinors; Maxwell's Equation; Conclusions; References. A Unified Approach to Fourier-Clifford-Prometheus Transforms- Introduction; New construction of classical and multiparametric Prometheus transforms; PONS associated with Abelian groups; Fast Fourier-Prometheus Transforms; Conclusions; Acknowledgments; References. Fast Color Wavelet Transforms.- Introduction; Color images; Color Wavelet-Haar-Prometheus transforms; Edge detection and compression of color images; Conclusion; Acknowledgments; References. Selected Problems; Various Authors.- Transformations of Euclidean Space and Clifford Geometric; Algebra; References; On the Distribution of Kloosterman Sums on Polynomials over Quaternions; References; Harmonic Sliding Analysis Problems; References; Spectral Analysis under Conditions of Uncertainty; A Canonical Basis for Maximal Tori of the Reductive Centrizer of a Nilpotent Element; References; 6 The Quantum Chaos Conjecture References; Four Problems in Radar; Topic Index; Author IndexContributor Bio:  Catlow, Richard Peter Day is Director and Resident Professor of Chemistry at The Royal Institution, London. Richard Catlow is Wolfson Professor of Natural Philosophy at The Royal Institution, London.