Pb nanoprecipitates in Al:: Magic-shape effects due to elastic strain

被引：24

作者：

Hamilton, J. C. ^{[1
]}

Leonard, F.

Johnson, E.

Dahmen, U.

机构：

[1] Sandia Natl Labs, Livermore, CA 94550 USA

[2] Univ Copenhagen, Niels Bohr Inst, Nano Sci Ctr, DK-2100 Copenhagen, Denmark

[3] Riso Natl Lab, Dept Mat Res, Roskilde, Denmark

[4] Lawrence Berkeley Natl Lab, Natl Ctr Electron Microscopy, Berkeley, CA USA

来源：

PHYSICAL REVIEW LETTERS | 2007年 / 98卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.98.236102

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a theory for size-dependent shapes of Pb nanoprecipitates in Al, introducing the concept of "magic shapes," i.e., shapes having near-zero homogeneous elastic strains. Our quantitative atomistic calculations of edge energies show their effect on precipitate shape to be negligible, thus it appears that shapes must be due to the combined effect of strain and interface energies. By employing an algorithm for generating magic shapes, we replicate the experimental observations by selecting magic-shape precipitates with interfacial energies less than a cutoff value.

引用

收藏

页数：4

相关论文

共 10 条

[1] Magic-size equilibrium shapes of nanoscale Pb inclusions in Al [J].

Dahmen, U ;

Xiao, SQ ;

Paciornik, S ;

Johnson, E ;

Johansen, A .

PHYSICAL REVIEW LETTERS, 1997, 78 (03) :471-474

[2] Edge energies: Atomistic calculations of a continuum quantity [J].

Hamilton, JC .

PHYSICAL REVIEW B, 2006, 73 (12)

[3] Shapes and sizes of nanoscale Pb inclusions in Al [J].

Johnson, E ;

Johansen, A ;

Dahmen, U ;

Chen, S ;

Fujii, T .

MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING, 2001, 304 (1-2) :187-193

[4] Computer simulation of Pb/Al interfaces [J].

Landa, A ;

Wynblatt, P ;

Johnson, E ;

Dahmen, U .

ACTA MATERIALIA, 2000, 48 (10) :2557-2563

[5] Development of glue-type potentials for the Ai-Pb system: Phase diagram calculation [J].

Landa, A ;

Wynblatt, P ;

Siegel, DJ ;

Adams, JB ;

Mryasov, ON ;

Liu, XY .

ACTA MATERIALIA, 2000, 48 (08) :1753-1761

[6] Growth mechanisms to explain the primary and secondary habits of snow crystals [J].

Nelson, J .

PHILOSOPHICAL MAGAZINE A-PHYSICS OF CONDENSED MATTER STRUCTURE DEFECTS AND MECHANICAL PROPERTIES, 2001, 81 (10) :2337-2373

[7] Atomic structures on faceted W(111) surfaces induced by ultrathin films of Pd [J].

Nien, CH ;

Madey, TE .

SURFACE SCIENCE, 1997, 380 (2-3) :L527-L532

[8] Energetics of {105}-faceted Ge nanowires on Si(001): An atomistic calculation of edge contributions [J].

Retford, C. M. ;

Asta, M. ;

Miksis, M. J. ;

Voorhees, P. W. ;

Webb, E. B., III .

PHYSICAL REVIEW B, 2007, 75 (07)

[9] STATISTICAL-MECHANICS OF EQUILIBRIUM CRYSTAL SHAPES - INTERFACIAL PHASE-DIAGRAMS AND PHASE-TRANSITIONS [J].

ROTTMAN, C ;

WORTIS, M .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1984, 103 (1-4) :59-79

[10] Role of strain-dependent surface energies in Ge/Si(100) island formation [J].

Shklyaev, OE ;

Beck, MJ ;

Asta, M ;

Miksis, MJ ;

Voorhees, PW .

PHYSICAL REVIEW LETTERS, 2005, 94 (17)