5 edition of **Anharmonic Lattices, Structural Transactions and Melting** found in the catalog.

Anharmonic Lattices, Structural Transactions and Melting

T. Riste

- 179 Want to read
- 0 Currently reading

Published
**February 28, 1974**
by Springer
.

Written in English

- Mechanics - Dynamics - Thermodynamics,
- Physics,
- Science / Physics,
- Science

**Edition Notes**

NATO Science Series E:

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 460 |

ID Numbers | |

Open Library | OL9097204M |

ISBN 10 | 9028605339 |

ISBN 10 | 9789028605336 |

Anharmonic lattice vibration in solid γ-N2 has been studied in terms of a Green's function perturbation method. The crystal hamiltonian is made up of a atom-atom potential. Study of Self-Diffusion in Metals by Statistical Moment Method: Anharmonic Effects to the melting point of a triangle atomic lattice measuring 10x10 particles which interact by means of the.

The lattice is common to both treatments, and it is this lattice with its periodic properties that set the Brillouin zone, so that the same zone is common to both the phonon dispersion and electron bands. first applied this approach to consider the lattice dynamics of diamond with five parameters, , referred to as an anharmonic force. Structure Produced by Selective Laser Melting and its Mechanical Properties, Proceedings of the 26th DAAAM International Symposium, p p, B. Katalinic (Ed.), Published by D AAAM.

High‐pressure experimental data are used to evaluate the validity of the Lindemann melting criterion for minerals. Because anharmonicity can be significant at the high temperatures associated with melting, leading order anharmonic contributions to the mean‐square atomic vibrations have been included in the present lattice dynamical formulation of the Lindemann by: are introduced Th.e book is adequately but no elegantlt y presented with rather small print, cramped layou itn places and important result nos t very well displayed. D T SWIFT-HOOK Anharmonic Lattices, Structural Transi-tions and Melting T Riste (ed) Leyden, Holland: Noordhoff pp ix + price Dfl 11 This book contain thse papers presented.

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From 2nd order transitions the emphasis of the programme moves gradually to 1st order transitions by covering such topics as order-disorder structural transitions in simple molecular crystals and tricritical phenomena.

The last part is devoted to melting, including dis- cussions on the dynamics of solids and liquids near their melting points.

In these three lectures an attempt is made to describe, in a certain context, experimental evidence for anharmonic Anharmonic Lattices near structural phase transitions (SPT’s): Theoretically, it is expected that systems with lower effective lattice dimensionality and shorter ranges of forces are, near T C, more dominated by correlated fluctuations (in space and time).Cited by: 4.

The anharmonic lattice dynamics of Te is studied based on perturbation theory using the third-order anharmonic force constants. The low lattice thermal conductivity of Te at high temperature is related to its low acoustic phonon lifetimes.

In contrast to the expectation that the lattice thermal conductivityAuthor: Shasha Li, Jie Ma, Yanzhong Pei, Yue Chen. Just below the melting point a decrease in the lattice parameter is observed. This effect is discussed in terms of the defect structure and the limit of stability in the crystalline solid state.

The transition of a simple system, e.g. sodium, from crystalline solid state into the liquid state is a first or- der by: Effect of lattice anharmonicity in the structural phase transformation of Laves phase HfV 2 alloy: A first-principles investigation Author links open overlay panel M.

Krcmar a C.L. Fu b Show moreCited by: 1. Schneider and E. Stoll, in: ‘Anharmonic Lattices, Structural Transitions and Melting,’ T.

Riste, ed., Nordhoff, Leiden (), pp. –Author: E. Stoll, T. Schneider. Investigations on structural properties of crystals are best performed with radiations of wavelength comparable to the interatomic distances, that is to say, X-rays or thermal neutrons. The complementary nature of X-ray and neutron scattering techniques is well known for structure by: 7.

This paper presents a survey of soft modes and their relationship to structural phase transitions. After introducing the concept of a soft mode, the origin of softening is considered from a lattice-dynamical point.

The Landau theory approach to structural transitions is then discussed, followed by a generalisation of the soft-mode concept through the use of the dynamic order-parameter Cited by: soft modes), usually near the structural phase tran- sitions. Empirically, for many cubic crystals the trigonal shear modulus at the melting point is 55% of its value at zero temperature (Varshm mel- ting criterion).

Lattice Heat Capacity at High Temperatures In. SURFACE THEORY OF MELTING L. Pietronero Brown Boveri Research Center, CH Baden, Switzerland E. Tosatti GNSMNR, Istituto di Fisica Teorica, Universitdi Trieste, Italy and International Center for Theoretical Physics, Trieste, Italy (Received 16 May by P.

Wachter) We demonstrate that melting is a surface initiated by: A vacancy model for failure of materials under tensile stress is proposed. According to the model, at an atomic level the ultimate effect of the stress induced strain can be interpreted in terms of vacancy production, in agreement with recent results of density by: 2.

A three-dimensional (N = 3O~ lattice points) sim- ple cubic Ising lattice with nearest-neighbor interac- tion was calculated in thermal equilibrium without external Cited by: Section 1 reviews harmonic lattice statics.

We reformulate lattice statics in a language as close to continuum mechanics as possible. In Section 2 the idea of symmetry reduction for defective crystals is presented and some subtleties in the linearized discrete governing equations are explained.

Section 3 presents the idea of anharmonic lattice. Absolute Helmholtz free energy of highly anharmonic crystals: Theory vs Monte Carlo Article in The Journal of Chemical Physics (14) April with 94 Reads How we measure 'reads'. Steigmeier E F, Auderset H and Harbeke G Anharmonic Lattices, Structural Transitions and Melting (Leiden: Noordhoff) pp Steigmeier E F, Auderset H Cited by: The self-consistent phonon theory (SCPT) is formulated using Green’s function method to describe both the dynamical and thermodynamical properties of highly anharmonic crystals and to investigate the dynamical stability of anharmonic lattices.

The results of calculations for the phonon spectrum, elastic constants,PV-diagrams, etc., are presented for a simple model of thefcc by: Lockwood D J and Torrie B H b Anharmonic Lattices, Structural Transitions and Melting (Leyden: Noordhoff) pp Rousseau D L and Porto S P S Phys.

Rev. Lett. 20 CrossrefCited by: The advantageous performance of hybrid organic–inorganic perovskite halide semiconductors in optoelectronic applications motivates studies of their fundamental crystal chemistry.

In particular, recent studies have sought to understand how dipolar, dynamic, and organic cations such as methylammonium (CH3NH3+) and formamidinium (CH(NH2)2+) affect physical properties such as light absorption Cited by: Lattice thermal conductivity: A comparison of molecular dynamics and anharmonic lattice dynamics Article (PDF Available) in Physical review.

B, Condensed matter 34(8) November. Here C l, the heat capacity of solid Bi ( J mol-1 K-1) 15, multiplied by a represents the amount of absorbed energy per incident fluence, ΔT l,m is the increase in lattice temperature.BASIC ASPECTS OF THE QUANTUM THEORY OF SOLIDS Order and Elementary Excitations Aimed at graduate students and researchers, this book covers the key aspects of anharmonic lattices, Bose condensation and superﬂuidity, modern aspects of mag- Melting 45 Another approach to melting.

Quantum melting This book is composed of seven parts that focus on a better fundamental understanding of the interactions between atoms in solids and their role in lattice dynamics. The major topics covered include phonon dispersion curves, anharmonic effects, optical and dielectric effects, influence of defects on lattice vibrations, elasticity, and Edition: 1.