Mathematics is the language of the physical sciences and is essential for a clear understanding of fundamental scientific concepts. The fortuna te fact that the same mathematical ideas appear in a number of distinct scientific areas prompted the format for this book. The mathematical framework for matrices and vectors with emphasis on eigenvalue-eigenvector concepts is introduced and applied to a number of distinct scientific areas. Each· new application then reinforces the applications which preceded it.

The recent discovery of high-temperature superconductivity has resulted in a remarkable growth in the amount of research and the number of researchers working in this exciting field. Superconductivity is not a new phenomenon: in 1991 it will be 80 years old. Even though it was the newer discoveries which motivated us to write this book, the book itself is mainly a description of the fundamentals of the phenomenon. The book is written for a very broad audience, including students, engin­ eers, teachers, scientists, and others who are interested in learning about this exciting frontier of science. We have focused on the qualitative aspects, so that the reader can develop a basic understanding of the fundamental physics without getting bogged down in the details. Because of this approach, our list of refer­ ences is not comprehensive, and it is supplemented with a summary of additional reading consisting of monographs and selected review articles.

Over the years, many successful attempts have been chapters in this part describe the well-known processes made to describe the art and science of crystal growth, such as Czochralski, Kyropoulos, Bridgman, and o- and many review articles, monographs, symposium v- ing zone, and focus speci cally on recent advances in umes, and handbooks have been published to present improving these methodologies such as application of comprehensive reviews of the advances made in this magnetic elds, orientation of the growth axis, intro- eld. These publications are testament to the grow- duction of a pedestal, and shaped growth. They also ing interest in both bulk and thin- lm crystals because cover a wide range of materials from silicon and III–V of their electronic, optical, mechanical, microstructural, compounds to oxides and uorides. and other properties, and their diverse scienti c and The third part, Part C of the book, focuses on - technological applications. Indeed, most modern ad- lution growth. The various aspects of hydrothermal vances in semiconductor and optical devices would growth are discussed in two chapters, while three other not have been possible without the development of chapters present an overview of the nonlinear and laser many elemental, binary, ternary, and other compound crystals, KTP and KDP.

This book helps unlock the root cause of abnormal grain growth in a commercial nickel alloy. The chapters explore the effects of different solution treating and aging techniques, showing how they impact the hardness properties of hot-rolled and cold-drawn Monel K-500. The book covers how high-frequency induction heat treating can lead to severe duplex microstructure, and uncovers the surprising differences between solution treating in vacuum and convection air furnaces. This book is helpful to anyone seeking to optimize the performance of metal alloys.

Aperiodic Crystals collects 37 selected papers from the scientific contributions presented at Aperiodic 2012 - the Seventh International Conference on Aperiodic Crystals held in Cairns, Australia, 2-7 of September 2012.

This thesis contains three breakthrough results in condensed matter physics. Firstly, broken reflection symmetry in the hidden-order phase of the heavy-fermion material URu2Si2 is observed for the first time. This represents a significant advance in the understanding of this enigmatic material which has long intrigued the condensed matter community due to its emergent long range order exhibited at low temperatures (the so-called “hidden order”).

This Thesis in biological physics has two components, describing the use of X-ray scattering techniques to study the structure of two different stacked lipid membrane systems.

This book presents comprehensive studies of charge density waves (CDW) in a high-Tc cuprate superconductor using x-ray scattering techniques under uniaxial pressure. Specifically, the work addresses inelastic x-ray scattering studies under uniaxial pressure performed on the underdoped cuprate YBa2Cu3O6.67(p=0.12, Tc=65K) with incoming photon energy in the resonant (E=931.3 eV, Cu-L3 edge) and non-resonant conditions (E=17.794 keV). This is a completely new approach to the investigation of charge density waves. It revealed new features of charge density waves in cuprates, whose properties had previously been inaccessible.

This book presents comprehensive studies of charge density waves (CDW) in a high-Tc cuprate superconductor using x-ray scattering techniques under uniaxial pressure. Specifically, the work addresses inelastic x-ray scattering studies under uniaxial pressure performed on the underdoped cuprate YBa2Cu3O6.67(p=0.12, Tc=65K) with incoming photon energy in the resonant (E=931.3 eV, Cu-L3 edge) and non-resonant conditions (E=17.794 keV). This is a completely new approach to the investigation of charge density waves. It revealed new features of charge density waves in cuprates, whose properties had previously been inaccessible.

Developing and testing novel energetic materials is an expanding branch of the materials sciences. Reaction, detonation or explosion of such materials invariably produce extremely high pressures and temperatures. To study the equations-of-state (EOS) of energetic materials in extreme regimes both shock and static high pressure studies are required.