Phase Transformations in MaterialsG. Kostorz For all kinds of materials, phase transformations show common phenomena and mechanisms, and often turn a material, for example metals, multiphase alloys, ceramics or composites, into its technological useful form. The physics and thermodynamics of a transformation from the solid to liquid state or from one crystal form to another are therefore essential for creating high-performance materials. This handbook covers phase transformations, a general phenomenon central to understanding the behavior of materials and for creating high-performance materials. It will be an essential reference for all materials scientists, physicists and engineers involved in the research and development of new high performance materials. It is the revised and enhanced edition of the renowned book edited by the late P. Haasen in 1990 (Vol. 5, Materials Science and Technology). |
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Page 241
... interaction Fourier transform of the exchange interaction exchange interaction between spins at sites i and j ( in cases where it is ran- dom ) strength of the magnetic interaction nearest - neighbor interaction next - nearest - neighbor ...
... interaction Fourier transform of the exchange interaction exchange interaction between spins at sites i and j ( in cases where it is ran- dom ) strength of the magnetic interaction nearest - neighbor interaction next - nearest - neighbor ...
Page 264
... interaction , 2 = - μ ' Σ ( 4-61 ) i + j Inserting the Landau values for the critical exponents ẞ = 1/2 , v = 1/2 , y = 1 and know- ing the critical amplitude of ~ R , the inter- action range , Eq . ( 4-60 ) implies const . ( R / a ) ...
... interaction , 2 = - μ ' Σ ( 4-61 ) i + j Inserting the Landau values for the critical exponents ẞ = 1/2 , v = 1/2 , y = 1 and know- ing the critical amplitude of ~ R , the inter- action range , Eq . ( 4-60 ) implies const . ( R / a ) ...
Page 286
... interaction Eq . ( 4-116 ) results from the scattering of con- duction electrons at concentration inhomo- geneities , in other cases such as H in metals the effective interactions are due to the elastic distortions produced by these ...
... interaction Eq . ( 4-116 ) results from the scattering of con- duction electrons at concentration inhomo- geneities , in other cases such as H in metals the effective interactions are due to the elastic distortions produced by these ...
Contents
Contents | 4 |
France D21494 Geesthacht | 5 |
Chemical Potential | 11 |
Copyright | |
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Common terms and phrases
Acta Metall alloys anisotropy atoms behavior binary Binder Cahn Chem chemical chemical potential cluster coarsening composition concentration constant correlation factor critical crystal defect dendritic diffusion coefficient dynamics effects elastic equation equilibrium eutectic example experimental field Figure fluctuations Fratzl function Gibbs energy gradient grain boundary growth rate Helmholtz energy impurity interaction interface interstitial Ising model jump frequency kinetics Landau Langer lattice Lebowitz Lett linear liquid magnetic materials mechanism metastable microstructure mixtures Monte Carlo Murch nucleation order parameter particles phase diagram phase separation phase transitions Phys polymer precipitate quench radius random regime region scaling shown in Fig simulations solid solution solidification spacing spinodal curve spinodal decomposition stability structure sublattices supersaturation temperature theory thermal thermodynamic tion tracer diffusion transformation tricritical point two-phase undercooling vacancy velocity volume fraction Wagner wavelength