Skip to main content
Log in

Precursor of the virtual β phase in the topography of the electron density of the α-Ti13 nanocluster

  • Structure, Phase Transformations, and Diffusion
  • Published:
The Physics of Metals and Metallography Aims and scope Submit manuscript

Abstract

The scattered-wave method is used to calculate the energy spectrum and wave functions of electrons in clusters of α-Ti and its alloys with B, C, and N. A clear asymmetry in the distribution of electron density is revealed, which distinguishes groups of four and two atoms in the basal plane of the hcp structure, which correspond to the coordination of nearest and next-nearest neighbors in the (110) plane of the β phase.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. P. Messmer, “Local Electronic Structure of Amorphous Metal Alloys Using Cluster Models. Evidence for Specific Metalloid-Metal Interaction,” Phys. Rev. B: Condens. Matter 23(4), 1616–1623 (1981).

    CAS  Google Scholar 

  2. R. P. Messmer and P. L. Brian, “The Role of Chemical Bonding in Grain Boundary Embrittlement,” Acta. Metall. 30(2), 457–467 (1982).

    Article  CAS  Google Scholar 

  3. A. Collins, R. C. O’Handley, and K. H. Johnson, “Bonding and Magnetism in Fe-M (M = B, C, S, N) Alloys,” Phys. Rev. B: Condens. Matter 38(6), 3665–3670 (1988).

    CAS  Google Scholar 

  4. M. E. Eberhart and D. D. Vvedensky, “Localized Grain Boundary Electronic State and Intergranular Fracture,” Phys. Rev. Lett. 58(1), 61–64 (1987).

    Article  CAS  Google Scholar 

  5. V. G. Gavriljuk, V. N. Kucherenko, V. I. Moravetski, et al., “The Electronic Structure of FCC Fe, Containing N and C Impurities,” J. Chem. Solids 55(11), 1181–1187 (1994).

    Article  CAS  Google Scholar 

  6. V. S. Demidenko, A. V. Nyavro, N. L. Zaitsev, and V. I. Simakov, “Electronic Structure of NiTi and FeTi Nanofragments in B2 and B19 Structures,” Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 93–95 (2004).

  7. J.-A. Yan, Ch.-Y. Wang, W.-H. Dyan, and S.-Y. Wang, “Electronic States and Doping Effect of Carbon in the Edge-Dislocation Core of BCC Iron,” Phys. Rev. B: Condens. Matter Mater. Phys. 69, 214110 (2004).

    Google Scholar 

  8. E. Janssens, S. Neukerman, and P. Lievens, “Shell of Electrons in Metal Doped Simple Metal Clusters,” Current Opinion Solid State Mater. Sci. 8, 185–193 (2004).

    Article  CAS  Google Scholar 

  9. A. P. Gulyaev, Physical Metallurgy (Metallurgiya, Moscow, 1978) [in Russian].

    Google Scholar 

  10. H. Wo, S. R. Desai, and L.-Sh. Wang, “Electronic Structure of Small Titanium Clusters: Emergence and Evolution of the 3d Band,” Phys. Rev. Lett. 76(2), 212–215 (1999).

    Google Scholar 

  11. F. A. Kassan-Ogly, V. E. Naish, and I. V. Sagaradze, “Diffuse Scattering in BCC Metals and the Crystal Geometry of BCC-FCC and BCC-HCP Martensitic Phase Transitions,” Fiz. Met. Metalloved. 65(3), 481–492 (1988).

    CAS  Google Scholar 

  12. I. I. Kornilov, “Metal Chemistry of Titanium Alloys and Further Problems in Their Research,” in Titanium and Its Alloys, Ed. by M. V. Ageev (Akad. Nauk SSSR, Moscow, 1962) [in Russian].

    Google Scholar 

  13. F. A. Shunk, Constitution of Binary Alloys, Second Supplement (New York: McGraw-Hill, 1969; Metallurgiya, Moscow, 1973).

    Google Scholar 

  14. V. V. Nemoshkalenko and I. M. Antonov, Methods of Computational Physics in the Theory of Solids (Naukova Dumka, Kiev, 1986) [in Russian].

    Google Scholar 

  15. O. Gunnarsson and B. Lundguist, “Exchange and Correlation in Atoms, Molecules and Solids by Spin Density Functional Formalism,” Phys. Rev. B: Solid State 13, 4274–4298 (1976).

    CAS  Google Scholar 

  16. V. L. Moruzzi and P. M. Marcus, “Magnetism in BCC 3d-Transition Metals: Onset and Approach to Hund’s-Rule Limit,” Phys. Rev. B: Condens. Matter 38(3), 1613–1620 (1988).

    CAS  Google Scholar 

  17. F. Herman and S. Scilman, Atomic Structure Calculation (Prentice-Hall, Englewood, NJ, 1963).

    Google Scholar 

  18. H. W. King, “The Structure of Pure Metals,” in Physical Metallurgy, Ed. by R. W. Cahn (North-Holland, Amsterdam, 1965; Mir, Moscow, 1967).

    Google Scholar 

  19. H. W. Streitwolf, Gruppentheorie in der Festkörperphysik (Teubner, Leipzig, 1967; Mir, Moscow, 1971).

    Google Scholar 

  20. M. Masutaka, T. Isac, and A. Hirohito, “Chemical Bonding in Titanium-Metalloid Compounds,” Phys. Rev. B: Condens. Matter Mater. Phys. 59(23), 15033–15046 (1999).

    Google Scholar 

  21. F. Seitz, Modern Theory of Solids (McGraw-Hill, New York, 1940; Gostekhizdat, Moscow, 1948).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © V.S. Demidenko, N.L. Zaitsev, T.V. Men’shchikova, I.A. Nechaev, A.V. Nyavro, L.F. Skorentsev, 2007, published in Fizika Metallov i Metallovedenie, 2007, Vol. 103, No. 1, pp. 75–79.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Demidenko, V.S., Zaitsev, N.L., Men’shchikova, T.V. et al. Precursor of the virtual β phase in the topography of the electron density of the α-Ti13 nanocluster. Phys. Metals Metallogr. 103, 72–76 (2007). https://doi.org/10.1134/S0031918X07010097

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0031918X07010097

PACS numbers

Navigation