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Frenkel defect

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Published: 01 January 2003
Fig. 1 Defects in ionic crystals. (a) Schottky defect. (b) Frenkel defect. Vacancies (V X , V Me ) are indicated by open squares. Interstitial ion (Me i ) is shown as shaded circle. More
Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003589
EISBN: 978-1-62708-182-5
... Abstract This article describes the Schottky defect and the Frenkel defect in oxides. It provides information on the p-type metal-deficit oxides and n-type semiconductor oxides. The article discusses diffusion mechanisms and laws of diffusion proposed by Fick. It explains the oxide texture...
Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003709
EISBN: 978-1-62708-182-5
... be pairs of oxygen and metal vacancies: (Eq 20) O = V O 2 ⋅ + V M 2 ′ Frenkel defects are found in stoichiometric compounds and are formed when a metal ion on a regular cation site is moved to an interstitial site and leaves behind a vacancy. An example for singly charged...
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002349
EISBN: 978-1-62708-193-1
..., attempts were made to calculate the theoretical strength of crystals, but of all the possibilities perhaps that of Frenkel ( Ref 10 ) for estimating the theoretical shear strength is most common. Theoretical (or “ideal”) shear strength can be related to ductile fracture, because the shearing-off mechanism...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005410
EISBN: 978-1-62708-196-2
... on preferred nucleation sites. These sites can be at the interface with existing impurities or some lattice defects such as grain boundaries or dislocations. The classical theory also allows modeling heterogeneous nucleation after some slight modifications. The first modification is that the parameter C 0...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002476
EISBN: 978-1-62708-194-8
... materials was first introduced by Weibull ( Ref 2 and 4 ). The concepts were based on the principles of weakest-link theory presented earlier. A number of authors including Pierce ( Ref 5 ), Kontorova ( Ref 6 ), as well as Frenkel and Kontorova ( Ref 7 ) have made contributions in this area. In fact...
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005619
EISBN: 978-1-62708-174-0
.... , Theoretical and FE Analysis of Ultrasonic Welding of Aluminum Alloy 3003 , J. Manuf. Sci. Eng. , Vol 131 , 2009 , p 041007 10.1115/1.3160583 33. Senchenkov I.K. , Tarasenko O.V. , Chernyak B.Y. , Kozlov V.I. , and Frenkel B.E. , Acoustic Contact during the Ultrasonic...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003255
EISBN: 978-1-62708-176-4
... have different charges than the host ions, the crystal must compensate structurally such that charge neutrality is maintained. This can be accomplished by the formation of lattice defects, such as vacancies or interstitials (Schottky, Frenkel defects). In ionic crystals, the presence of charged...
Series: ASM Handbook
Volume: 13B
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v13b.a0003836
EISBN: 978-1-62708-183-2
.... In the fully amorphous state, they contain none of the classical crystalline or chemical defects found in crystalline solids, such as grain boundaries, dislocations, stacking faults, and second-phase particles, and they are chemically and structurally homogeneous. Older glassy alloys were produced from two...
Series: ASM Handbook
Volume: 24
Publisher: ASM International
Published: 15 June 2020
DOI: 10.31399/asm.hb.v24.9781627082907
EISBN: 978-1-62708-290-7
Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003605
EISBN: 978-1-62708-182-5
.... , 1974 14. Silverman D.C. , Derivation and Application of EMF-pH Diagrams , Electrochemical Techniques for Corrosion Engineers , Baboian R. , Ed., NACE International , 1986 15. Alon A. , Frenkel M. , and Schorr M. , Corrosion and Electrochemical Behavior...
Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003671
EISBN: 978-1-62708-182-5
... is vacancy diffusion, because a metal crystal always contains a high concentration of point defects, such as atomic vacancies, while ionic oxides contain Schottky and Frenkel defects that involve vacancies. An atom or ion sitting on a lattice site can diffuse by jumping to adjacent vacant sites. For metal...
Series: ASM Handbook
Volume: 18
Publisher: ASM International
Published: 31 December 2017
DOI: 10.31399/asm.hb.v18.a0006409
EISBN: 978-1-62708-192-4
Series: ASM Handbook
Volume: 5A
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.hb.v05a.9781627081719
EISBN: 978-1-62708-171-9
Series: ASM Handbook
Volume: 5A
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.hb.v05a.a0005727
EISBN: 978-1-62708-171-9