Epitaxy of binary compounds and alloys

Journal of Elasticity

Volumn 80, Issue 1-3, 2005, Pages 153-182

  Jabbour, Michel E ^a  

^a UNIVERSITY OF KENTUCKY   (United States)

Author keywords

Alloying; Anisotropy; Binary compounds; Bulk; Edge atomic diffusions; Epitaxy; Generalized Gibbs Thomson; Ginzburg Landau; Morphological instabilities; Phase segregation; Regular solution; Step dynamics; Surface chemistry; Terrace

Indexed keywords

ADSORPTION; ANISOTROPY; CHEMICAL REACTIONS; DESORPTION; DIFFUSION; EPITAXIAL GROWTH; FREE ENERGY; MORPHOLOGY; PHASE SEPARATION; SEGREGATION (METALLOGRAPHY); SURFACE CHEMISTRY; THERMODYNAMIC PROPERTIES; VAPOR DEPOSITION;

BINARY COMPOUNDS; BINARY SYSTEMS; BULK; BULK ATOMIC DIFFUSION; EDGE ATOMIC DIFFUSIONS; GENERALIZED GIBBS-THOMSON; MORPHOLOGICAL INSTABILITIES; PHASE SEGREGATION; STEP DYNAMICS; TERRACE;

ALLOYS;

EID: 33644960723     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10659-005-9030-4     Document Type: Conference Paper

References (39)

1. T.J. Mountziaris and K.F. Jensen, Gas-phase and surface reaction mechanisms in MOCVD of GaAs with Trimethyl-Gallium and Arsine. J. Electrochem. Soc. 138 (1991) 2426-2439.
2. Y. Saito, Statistical Physics of Crystal Growth. World Scientific, Singapore (1996).
3. A. Pimpinelli and J. Villain, Physics of Crystal Growth. Cambridge Univ. Press, Cambridge (1998).
4. J. Krug, Introduction to step dynamics and step instabilities. In: A. Voigt (ed.), Multiscale Modeling in Epitaxial Growth. Birkhäusser, Berlin (2005).
5. D. Kandel and J.D. Weeks, Theory of impurity-induced step bunching. Phys. Rev. B 49 (1994) 5554-5564.
6. A. Pimpinelli and A. Videcoq, Novel mechanism for the onset of morphological instabilities during chemical vapor epitaxial growth. Surf. Sci. Lett. 445 (2000) L23-L28.
7. A. Pimpinelli, R. Cadoret, E. Gil-Lafon, J. Napierala and A. Trassoudaine, Two-particle surface diffusion-reaction models for vapour-phase epitaxial growth on vicinal surfaces. J. Cryst. Growth 258 (2003) 1-13.
8. P. Cermelli and M.E. Jabbour, Step bunching during the epitaxial growth of binary compounds. (2005) forthcoming.
9. P. Cermelli and M.E. Jabbour, A novel mechanism for the onset of morphological instabilities during the epitaxy of single-species films (2005) forthcoming.
10. W. Eu and Z. Suo, Dynamics of nanoscale pattern formation of an epitaxial monolayer. J. Mech. Phys. Solids 49 (2001) 1937-1950.
11. W. Lu and Z. Suo, Symmetry breaking in self-assembled monolayers on solid surfaces: Anisotropie surface stress. Phys. Rev. B 65 (2002) 085401-1-0854019-9.
12. Y.F. Gao, W. Lu, and Z. Suo, A mesophase transition in a binary monolayer on a solid surface. Acta Mater. 50 (2002) 2297-2308.
13. F. Léonard and R. Desai, Chemical ordering during surface growth. Phys. Rev. B 55 (1997) 9990-9998.
14. F. Léonard and R. Desai, Elastic effects and phase segregation during the growth of thin alloy layers by Molecular-Beam Epitaxy. Phys. Rev. B 56 (1997) 4955-1965.
15. F. Léonard and R. Desai, Alloy decomposition and surface instabilities in thin films. Phys. Rev. 557(1998)4805-4815.
16. F. Léonard and R. Desai, Atomic ordering and the surface morphology of thin films. Appl. Phys. Lett. 73(1998)208-210.
17. F. Léonard and R. Desai, Spontaneous decomposition and ordering during epitaxial growth. Thin Solid Films 357 (1999) 46-52.
18. F. Léonard, M. Laradji and R. Desai, Molecular beam epitaxy in the presence of phase segregation. Phys. Rev. B 55 (1997) 1887-1894.
19. F. Léonard, M. Laradji and R. Desai, Phase separation in Heteroepitaxial Thin-Film growth. Physica A 239(1997) 129-136.
20. M.E. Jabbour, Phase segregation during the epitaxial growth via step flow of a binary sub-stitutional alloy (2005) in preparation.
21. J.B. Hannon, M. Copel, R. Stumpf, M.C. Reuter and R.M. Tromp, Critical role of surface steps in the alloying of Ge on Si(001). Phys. Rev. Lett. 92 (2004) 216104-1-216104-4.
22. W.K. Burton, N. Cabrera, and F.C. Frank, The growth of crystals and the equilibrium structure of their surfaces. Phil. Trans. Roy. Soc. A 243 (1951) 299-358.
23. M.E. Gurtin, The nature of configurational forces. Arch. Ration. Mech. Anal. 131 (1995) 67-100.
24. M.E. Gurtin, Configurational Forces as Basic Concepts of Continuum Physics. Springer, Berlin Heidelberg New York (2000).
25. G.S. Bales and A. Zangwill, Morphological instability of a terrace edge during step-flow growth. Phys. Rev. B 41 (1990) 5500-5508.
26. P. Cermelli and M.E. Jabbour, Multispecies epitaxial growth on vicinal surfaces with chemical reactions and diffusion. P roc. R. Soc. London A 461 (2005) 3483-3504.
27. M.E. Gurtin, Thermomechanics of Evolving Phase Boundaries in the Plane. Clarendon, Oxford (1993).
28. W. Heidug and F.K. Lehner, Thermodynamics of coherent phase transformations in non-hydrostatically stressed solids. Pure Appl. Geophys. 123 (1985) 91-98.
29. L.M. Truskinovsky, Dynamics of nonequilibrium phase boundaries in a heat conducting nonlinearly elastic medium. J. Appl Math. Mech. (PMM) 51 (1987) 777-784.
30. R. Abeyaratne and J.K. Knowles, On the driving traction acting on a surface of strain discontinuity in a continuum. J. Mech. Phys. Solids 38 (1990) 345-360.
31. M.E. Gurtin and A. St ruthers, Multiphase thernioniechanics with interfacial structure: 3. Evolving phase boundaries in the presence of bulk deformation. Arch. Ration. Mech. Anal. 112 (1990) 97-160.
32. B.D. Coleman and W. Noll, The thermodynamics of elastic materials with heat conduction and viscosity. Arch, Ration, Mech. Anal. 13 (1963) 167-178.
33. M.E. Gurtin and P.W. Voorhees, The thermodynamics of evolving interfaces far from equilibrium. Acta Mater, 44 (1996) 235-247.
34. M.E. Jabbour and K. Bhattacharya, A continuum theory of multispecies thin solid film growth by chemical vapor deposition. J. Elasticity 73 (2003) 13-74.
35. E. Fried and M.E. Gurtin, The role of the configurational force balance in the nonequilibrium epitaxy of films. J. Mech. Phys. Solids 51 (2003) 487-517.
36. E. Fried and M.E. Gurtin, A unified treatment of evolving interfaces accounting for deformation and atomic transport with an emphasis on grain-boundaries and epitaxy. Adv. Appl. Mech. 40 (2004) 1-177.
37. R. Bowley and M. Sánchez, Introductory Statistical Mechanics. 2nd edn. Clarendon. Oxford (1999).
38. J.M. Moisson, C. Guille, F. Houzay, F. Barthe and M. Van Rompay, Surface segregation of third-column atoms in Group III-V arsenide compounds: Ternary alloys and heterostructures. Phys. Key. B 40 (1989) 6149-6162.
39. M.E. Gurtin, Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Physica D 92 (1996) 178-192.