Calculation of short range order in Ni-Rh, Ni-Pd and Cu-Rh alloys

• Autorzy: Abbas T. , Ullah M. , Rana A. M. , Arif Khalil R. M.
• Języki publikacji: EN

Abstrakty

EN

Transition metal model pseudopotential (TMMP) technique has been applied to study the short range order (SRO) in nickel alloys Ni100-x-Rhx and Ni100-x-Pdx and a copper alloy Cu100-x-Rhx (x = 2, 5, 8, 11 at. %). All these transition metal alloys form fcc solid solutions for the chosen compositions. The static electrical permittivity ?(q) was taken from the Hubbard-Sham model and/or Geldart-Vosko model to account for the exchange energies and correlation correction factors. Ordering energies and the Warren-Cowley SRO parameters have been calculated for all these alloys. Both models gave almost the same values for both the ordering energies and the Warren-Cowley SRO parameters. The TMMP model is found to predict the correct sign of SRO parameters for all these alloys.

Słowa kluczowe

EN

clustering; lattice constant; pseudopotential theory; transition metal model pseudopotential

• Wydawca: De Gruyter
• Czasopismo: Materials Science Poland
• Rocznik: 2007
• Tom: Vol. 25, No. 4
• Strony: 1161--1172
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Abbas T.

autor

Ullah M.

autor

Rana A. M.

autor

Arif Khalil R. M.

• Department of Physics, Bahauddin Zakariya University, Multan-60800, Pakistan

Bibliografia

• [1] WARREN B.E., X-ray Diffraction, New York, Dover Publications, 1999, p. 227.
• [2] CULLITY B.D., Elements of X-ray diffraction, Addison-Wesley, Philippines, 1978.
• [3] IVERONOVA V.I., KATSNELSON A.A., Modern Problems of Short-Range Order, Report, 1973, pp. 307–331.
• [4] KATSNELSON A.A., SILONOV V.M., KHAWAJA FARID A. Phys. Stat. Sol. B, 91 (1979), 11.
• [5] ABBAS T., ICTP International Report, Trieste, Italy, International Centre for Theoretical Physics, 1982.
• [6] SAHA D.K., SHISHIDO T., OSHIMA K.-I., J. Phys. Soc. Jpn., 71 (2002), 2456.
• [7] SAHA D.K., SHISHIDO T., OSHIMA K.-I., J. Phys. Soc. Jpn., 72 (2003), 1670.
• [8] SEMBIRING T., SAHA D.K., TAKAHASHI M., SHISHIDO T., OSHIMA K-I., J. Phys. Soc. Jpn., 72 (2003), 107.
• [9] GRUNER S., KOBANA L., KLEINHEMPEL R., HOYER W., JOVARY P., DELAPLANE R.G., J. Non-Cryst. Sol., 351 (2005), 3490.
• [10] SHIN J.S., BAE J.S., KIM H.J., LEE H.M., LEE T.-D., LAVANIA E.J., LEE Z.H., Mater. Sci. Eng. A, 407 (2005), 282.
• [11] BRAUDE I.S., PECHERSKA V.I., BOLSHUTKIN D.N., CHERNIK M.M., Cryst. Res. Techn., 21 (1996), 253.
• [12] ZIYA A.B., OSHIMA K., Phys. B, Cond. Matt., 365 (2005), 225.
• [13] VRIJEN J., RADELAAR S., Phys. Rev. B, 17 (1978), 409.
• [14] IKRAM N., ALI S., J. Phys. Chem. Sol., 54 (1993 ), 747.
• [15] DAMONTE L., MENDOZA C., ECKERT L., Mater. Sci. Eng. A, 278 (2000), 16.
• [16] BLIZMUK T., MOLA M., POLISHIN E., POHL M., GAVRILJUK V., Effect of nitrogen on short-range atomic order in the ferritic -phase of duplex steel, Mater. Sci. Eng. A, 405 (2005 ), 11.
• [17] KRAMER M.J., SORDELET D.J., J. Non-Cryst .Sol., 351 (2005), 1586.
• [18] ABBAS T., Lecture delivered in the first regional school on short-range order, Islamabad, 1986, unpublished.
• [19] KHAWAJA F.A., KATSNELSON A.A., SILONOV V.M., KHRUSHCHOV M.M., Phys. Stat. Sol. B, 82 (1977), 701.
• [20] ABBAS T., ARIF KHALIL R.M., RANA A.M., ULLAH M., J. Res. Sci., 16 (2005), 87.
• [21] ABBAS T., ARIF KHALIL R.M., RANA A.M., ULLAH M., Int. J. Modern Phys. B, 20 (2006), 2425.
• [22] KATSNELSON A.A., SILONOV V.M., KHWAJA F.A., KHRUSHOV V.M., Three bodies interaction in the electronic theory of the atomic local order in binary alloys, Int. Symp. Electronic Structure of Metals and Alloys, P. Zschech (Ed), Dresden, (1978), p. 221.
• [23] HARTREE W., HARTREE D.R., MANNING M.F., Phys. Rev., 60 (1941), 857.
• [24] HUBBARD J., Proc. Roy. Soc. A, 240 (1957), 359.
• [25] SHAM L.J., Proc. Roy. Soc. A, 283 (1965), 39.
• [26] GELDART D., VOSKO S.H., J. Phys. Soc. Japan, 70 (1965), 20.
• [27] HARRISSON W.A., Pseudopotential in the Theory of Metals, Benjamin, New York, 1966.
• [28] HAIL G.L., PHIHOURS J., Phys. Rev., 139 (1965), 160.
• [29] Handbook of Electrical Resistivities of Binary Metallic Alloys, K. Schröder (Ed.), CRC Press, Boca Raton, FL, 1983, pp. 230, 323, 325.
• [30] ANIMALU A.O.E., Phys. Rev. B, 8 (1973), 3542.