Investigation of electronic structure for β-Zr in the(s-d) subshell

Main Article Content

Abdulhadi Mirdan Ghaleb

Abstract

In this paper, a theoretical study of calculating Compton profiles(CPs) for β-Zr using the renormalized-free-atom model and free electron model for different configurations (4d3-x-5s1+x),where (x= 0.1 to 1 step 0.1) is presented .The theoretical results and previously experimental data show good agreement and the best electronic configuration found was  (4d2.8-5s1.2 ). The cohesive energy of β-Zr is computed by using  theoretical Compton profile data and compared with available data. The band structure and density of state of  (β-Zr and -Zr) phases are determined from density functional theory (DFT) with use Quantum wise Atomistix Tool Kit (ATK),Virtual Nano Lab  calculations within the framework of the local density approximation (LDA).

Article Details

How to Cite
Abdulhadi Mirdan Ghaleb. (2023). Investigation of electronic structure for β-Zr in the(s-d) subshell. Tikrit Journal of Pure Science, 21(6), 126–131. https://doi.org/10.25130/tjps.v21i6.1090
Section
Articles

References

[1] C. Kittel" Introduction to solid state physics"5th edition, (Wiley Eastern) (1994).

[2] S. L. Altmann and J. C. Bradley, Phys. Lett. 1, 336 (1962); Phys. Rev. 135A, 1253 (1964); Proc. R. Soc. 92, 769 (1967).

[3] T. L. Loucks, Phys. Rev. 159, 544 (1967).

[4] O. Jepsen, O. Krogh Andersen, and A. R. Mackintosh, Phys. Rev. B 12, 3084 (1975).

[5] K. Iyakutti, C. K. Majumdar, R. S. Rao, and V. Devanathan, J. Phys. F 6, 1639 (1976).

[6] P. Chatterjee, J. Phys. F 14, 2027 (1984).

[7] Vaclev O. Kostroun, Robert W. Fairchild, Carl A. Kukkonen, and John W. Wilkins, Phys. Rev. B 13, 3268 (1976).

[8] M. K. Harbola, R. R. Zope, A. Kshirsagar and R. K. Pathak, "Momentum-space properties from coordinate - space electron density", J. Chem. Phys., (2005), 122, 204110.

[9] K.F. Berggren, S. Manninen, T. Paakkari, O. Aikala and K. Mansikka, Chapter Solids in a book entitled Compton Scattering, (Mc. Graw - Hill, London), pp. 139-209 (1977).

[10] K.R.K. Ghandhi, and R.M. Singru, Philo. Mag. B 43,999 (1981).

[11] B.L. Ahuja, B.K. Sharma, and O. Aikala, Pramana 29, 313(1987).

[12] N.I. Papanicolaou, N.C. Bacalis and D.A. Papaconstantopoulos. Phy. Rev. B 37,862(1988).

[13] N.G. Alexandropoulos, S.K. Danakas, K.T. Kotris and N. I. Papanicolaou . Solid State Comm.92, 453 (1985).

[14] L.Y-Shou ,L. A. Yu and Z.Z. Zhong .Chinese Physics Letters Volume 21.No 9.PP 1791-1795 (2004).

[15] M. J. Cooper, P. E. Mijnarends, N. Shiotani, N. Sakai, and A. Bansil." X-ray Compton Scattering", volume 5 of Oxford Series on Synchrotron radiation. Oxford University Press, (2004).

[16] K.F, Berggren, Phys .Rev,B6.2156 (1972).

[17] K.F, Berggren, S. Manninen, and T. Paakkari , Phys. Rev. B552516(1973).

(a) (b)K-space

[18] B.K Sharma., A Gupta., H Singh., S. Perkkiő., A Kshirsagar. and D.G. Kanhere. Phys. Rev B37 6821 (1988).

[19] L. Biggs, L. Mendelsohn, J.B. Band Mann , At Data Nucl. Data Table 16,201(1975).

[20] R.S. Holt, M.J. Cooper," The calculation of electronic energies from Compton profiles". Philos. Mag. B 41(2), 117-121,(1980).

[21] R.G. Parr and W. Yang "Density Functional Theory of Atoms and Molecules" University press, New York(1989).

[22] W. Kohn and L.J. Sham, Phys. Rev. 140, A1133(1965).

[23] K. Stokbro, D. E. Petersen, S. Smidstrup, A. Blom, M. Ipsen and K. Kaasbjerg, Phys. Rev. B 82,075420 (2010).

[24] B. K. Sharma and B. L. Abuja Phys. Rev. B ,vol 38,N 5 (1988).

[25] Z. Wei, D. Singh, and H. Krakauer . Phys. Rev B, Vol 36.No14 ,(1987).

[26] G. Jency and S. Kumari. Univeral Journal of Chemistry 1(2):pp 64-70,(2013).