Short range electronic distortion and the density dependent dielectric function of simple gases

1974 ◽  
Vol 27 (3) ◽  
pp. 359-364 ◽  
Author(s):  
Donald F. Heller ◽  
William M. Gelbart
Keyword(s):  
Dielectric Function ◽  
Short Range ◽  
Density Dependent

Dependence of surface screening in semiconductors on the short-range properties of the bulk dielectric function

1987 ◽  
Vol 62 (9) ◽  
pp. 633-635 ◽  
Author(s):  
M. Cinal ◽  
R. Del Sole ◽  
J. Krupski ◽  
W. Bardyszewski ◽  
G. Strinati
Keyword(s):  
Dielectric Function ◽  
Short Range

Signatures of Short-Range Many-Body Effects in the Dielectric Function of Silicon for Finite Momentum Transfer

2006 ◽  
Vol 97 (23) ◽  
Author(s):  
Hans-Christian Weissker ◽  
Jorge Serrano ◽  
Simo Huotari ◽  
Fabien Bruneval ◽  
Francesco Sottile ◽  
...  
Keyword(s):  
Momentum Transfer ◽  
Dielectric Function ◽  
Short Range ◽  
Many Body ◽  
Many Body Effects

PIEZOELECTRICITY IN INSULATORS

1991 ◽  
Vol 05 (15) ◽  
pp. 2531-2549 ◽  
Author(s):  
G.D. MAHAN
Keyword(s):  
Long Range ◽  
Dielectric Function ◽  
Short Range ◽  
Microscopic Theory ◽  
Ionic Crystals ◽  
Sensitive Test ◽  
Coulomb Interactions ◽  
Dipole Term ◽  
Theory And Experiment ◽  
Piezoelectric Constants

A microscopic theory is presented for the piezoelectric constants of zincblende. The theory is valid for ionic crystals. The constants have several contributions: one from long-range Coulomb interactions, and several from short range forces. The long-range term is given only by the dielectric function. The short-range terms are also large and nearly cancel the long-range terms: the largest is from the deformation-dipole term. The agreement between theory and experiment is a sensitive test of theories of short-range polarization in solids.

Domain coarsening by grain boundary migration in ordered Ni4Mo

1986 ◽  
Vol 44 ◽  
pp. 560-561
Author(s):  
K. Vasudevan ◽  
H. P. Kao ◽  
C. R. Brooks ◽  
E. E. Stansbury
Keyword(s):  
Grain Boundary ◽  
Grain Boundaries ◽  
Short Range ◽  
Boundary Migration ◽  
Grain Boundary Migration ◽  
Rapid Cooling ◽  
Temperature Range ◽  
Fee Structure ◽  
Domain Coarsening ◽  
Boundary Reaction

The Ni4Mo alloy has a short-range ordered fee structure (α) above 868°C, but transforms below this temperature to an ordered bet structure (β) by rearrangement of atoms on the fee lattice. The disordered α, retained by rapid cooling, can be ordered by appropriate aging below 868°C. Initially, very fine β domains in six different but crystallographically related variants form and grow in size on further aging. However, in the temperature range 600-775°C, a coarsening reaction begins at the former α grain boundaries and the alloy also coarsens by this mechanism. The purpose of this paper is to report on TEM observations showing the characteristics of this grain boundary reaction.

Ordering in Ni4Mo by TEM and APFIM

1987 ◽  
Vol 45 ◽  
pp. 214-215
Author(s):  
E.A. Kenik ◽  
T.A. Zagula ◽  
M.K. Miller ◽  
J. Bentley
Keyword(s):  
Electron Irradiation ◽  
Low Temperatures ◽  
Short Range ◽  
Atom Probe ◽  
Range Order ◽  
Considerable Time ◽  
Probe Field ◽  
Disordered Phase ◽  
Transmission Electron ◽  
Diffraction Patterns

The state of long-range order (LRO) and short-range order (SRO) in Ni4Mo has been a topic of interest for a considerable time (see Brooks et al.). The SRO is often referred to as 1½0 order from the apparent position of the diffuse maxima in diffraction patterns, which differs from the positions of the LRO (D1a) structure. Various studies have shown that a fully disordered state cannot be retained by quenching, as the atomic arrangements responsible for the 1½0 maxima are present at temperatures above the critical ordering temperature for LRO. Over 20 studies have attempted to identify the atomic arrangements associated with this state of order. A variety of models have been proposed, but no consensus has been reached. It has also been shown that 1 MeV electron irradiation at low temperatures (∼100 K) can produce the disordered phase in Ni4Mo. Transmission electron microscopy (TEM), atom probe field ion microscopy (APFIM), and electron irradiation disordering have been applied in the current study to further the understanding of the ordering processes in Ni4Mo.

Early Education in Short-Range Historical Perspective

1969 ◽  
Vol 14 (8) ◽  
pp. 437-438
Author(s):  
CELIA STENDLER LAVATELLI
Keyword(s):  
Short Range ◽  
Historical Perspective ◽  
Early Education
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