Abstract
The mean square amplitudes of vibration, Debye–Waller factors and Debye temperatures of bcc Fe100–xCrx alloys prepared by mechanical alloying have been obtained from X-ray intensities. The values of X-ray Debye temperature obtained for Fe100–xCrx alloys have been analyzed and compared with the values obtained from the temperature dependence of the centre shift of Mössbauer spectra and other methods. The values of Debye temperature have been calculated from Kopp–Neumann relation. X-ray Debye temperatures obtained in the present work have been used to estimate vacancy formation energies of Fe100–xCrx system.
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References
E Rio et al., J. Nucl. Mater. 408 18 (2011)
R K Gupta and R K Singh Raman J. Mater. Sci. 47 6118 (2012)
N K Othman, J Zhang and D J Young Oxid. Met. 73 337 (2010)
A Razdan Hyperfine Interact. 198 185 (2010)
H Gerald Meier et al., Oxid. Met. 74 319 (2010)
M Stalin, M Gibson and N Lawrence Indian J. Phys. 80 235 (2006)
D L Zhang Prog. Mater. Sci. 49 537 (2004)
C Suryanarayana Prog. Mater. Sci. 46 1 (2001)
D Adhikari, I S Jha and B P Singh Indian J. Phys. 86 783 (2012)
I Farahbakhsh, A Zakeri, P Manikandan, S Tanaka and K Hokamoto Jpn. J. Appl. Phys. 50 01BE06 (2011)
K B Modi, T K Pathak, N H Vasoya, V K Lakhani, G J Baldha and P K Jha Indian J. Phys. 85 411 (2011)
C S Pathak, D D Mishra, V Agarawala and M K Mandal Indian J. Phys. 86 777 (2012)
J J Fuentes, J A Rodriguez and E J Herrera Mater. Charact. 61 386 (2010)
J Cieslak, B F O Costa and S M Dubiel J. Phys. Condens. Matter 18 10899 (2006)
J Cieslak, B F O Costa, S M Dubiel, D Fruchart and N E Skryabina J. Alloys Compd. 467 182 (2009)
B F O Costa, J Cieslak and S M Dubiel J. Alloys Compd. 492 L1 (2010)
S M Dubiel, J Cieslak and B F O Costa J. Phys. Condens. Matter 22 055402 (2010)
C H Cheng, C T Wei and P A Beck Phys. Rev. 120 426 (1960)
K Schroder Phys. Rev. 125 1209 (1962)
H Zhang, B Johansson and L Vitos Phys. Rev. B 79 224201 (2009)
C G Shirley Acta Crystallogr. A 31 174 (1975)
D R Chipman and A Paskin J. Appl. Phys. 30 1998 (1959)
D T Cromer and J T Waber Acta Crystallogr. 18 104 (1965)
D T Cromer and D Liberman J. Chem. Phys. 53 1981 (1970)
R W James The Optical Principles of the Diffraction of X-rays (London : Bell and Sons) (1967)
G C Benson and E K Gill Tables of Integral Functions related to Debye–Waller factors (Ottawa : National Research Council of Canada) (1966)
G D Preston Philos. Mag. 13 419 (1932)
W B Pearson A Handbook of Lattice Spacings and Structures of Metals and Alloys (New York : Pergamon Press) p. 528 (1958)
K A Gschneidner Jr. Solid State Phys. 16 275 (1964)
B W Batterman, D R Chipman and J J De Marco Phys. Rev. 122 68 (1961)
T Paakkari Acta Crystallogr. A30 83 (1974)
R H Wilson, E F Skelton and J L Katz Acta Crystallogr. A21 635 (1966)
N Koumelis Acta Crystallogr. A27 246 (1971)
H R Glyde J. Phys. Chem. Solids 28 2061 (1967)
N Gopikrishna and D B Sirdeshmukh Indian J. Pure Appl. Phys. 24 324 (1986)
N Gopikrishna and D B Sirdeshmukh Indian J. Pure Appl. Phys. 26 724 (1988)
M Shankarnarayana, N Gopikrishna and D B Sirdeshmukh Acta Crystallogr. A57 217 (2001)
E Purushotham and N Gopikrishna Physica B 405 3308 (2010)
M Shankarnarayana and N Gopikrishna Phys. Status Solidi (a) 202 2731 (2005)
E Purushotham and N Gopi krishna Indian J. Phys. 84 887 (2010)
C C Fu and F Willaime Phys. Rev. Lett. 92 175503 (2004)
H E Schaefer Phys. Status Solidi (a) 102 47 (1987)
N L Peterson Solid State Phys. 22 409 (1968)
P Olsson, C Domain and J Wallenius Phys. Rev. B 75 014110 (2007)
P K Nandi, M C Valsakumar, S Chandra, H K Sahu and C S Sunder J. Phys. Condens. Matter 22 345501 (2010)
T Korhonen, M J Puska and R M Nieminen Phys. Rev. B 51 9526 (1995)
Acknowledgments
The authors wish to thank University Grants Commission (UGC), New Delhi, for the financial assistance under Special Assistance Programme (SAP) No. [F.530/8/DRS/2009 (SAP-1)].
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Jithender, L., Gopikrishna, N. X-ray study of Debye temperatures of bcc–Fe–Cr mechanical alloys. Indian J Phys 87, 537–542 (2013). https://doi.org/10.1007/s12648-013-0259-7
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DOI: https://doi.org/10.1007/s12648-013-0259-7