Abstract
Lead–lithium alloy in its eutectic form, i.e., Pb83Li17 is one of the most promising candidates for its application as liquid blanket in fusion reactor with its properties such as low melting point, high boiling point and appropriate absorption and activation cross section for neutrons. In the present paper, phonon frequencies and sound velocity of liquid Pb–Li eutectic are reported using theoretical formalism. Further, structural properties of Pb–Li eutectic are determined in a self-consistent way using temperature-dependent Debye–Waller factor-like term. The results suggest that the size effects have significant role in determining the elastic properties of Pb–Li eutectic, viz. sound velocity and phonon frequencies.
Similar content being viewed by others
References
Zhou C, Guo C, Li C, and Du Z, J Nucl Mater477 (2016) 95
Malang S, Raffray A, and Morley N, Fusion Eng Des84 (2009) 2145
Ranjithkumar S, Sharma D, Chaudhari P, Danani C, Rajendrakumar E, Khan I, Bhattacharya S, and Vyas K N, Fusion Eng Des109–111 (2016) 1581
Swami H L, Shaw A K, Danani C, and Chaudhari P, in J. Physics Conf. Nuclear Analyses of Indian LLCB test blanket system in ITER, Proceedings of 10th Asia Plasma & Fusion Association Conference 823 (2017) 012066
Zalkin A, and Ramsey W, J Phys Chem60 (1956) 234
Zalkin A, Ramsey W J, and Templeton D H, J Phys Chem60 (1956) 1275
Zalkin A, and Ramsey W, J Phys Chem61 (1957) 1413
Zalkin A, and Ramsey W, J Phys Chem62 (1958) 689
Hubberstay P, Sample T, and Barker G, J Nucl Mater191–194 (1992) 283
Fraile Garica A, Atomic Simulation of Liquid Metals and Alloys for Nuclear Fusion Reactors, Ph D Thesis, Universidad Politecnica de Madrid, Spain (2013)
Fraile A, Lopez S, Caro A, Schwen D, and Perlado J, J Nucl Mater448 (2014) 103
Ruppersberg H, Speicher W, and Naturforsch Z, Z Naturforsch31a (1976) 47
Gan X, Xiao S, Deng H, Wang B, Sun X, Li X, and Hu W, Fusion Eng Des89 (2014) 2946
Khambholja S G, and Agraj A, in Proceedings of 27th Fusion Energy Conference of International Atomic Energy Agency, Structural and Vibrational Properties of Lead-Lithium Alloys: A First Principles Study, IAEA-CN-258 FIP/P3-31 (2018)
Khambholja S G, Agraj A, Satikunvar D, and Thakore B Y, AIP Conf Proc1942 (2018) 030021
Khambholja S G, Satikunvar D, Agraj A, and Thakore B Y, AIP Conf Proc1953 (2018) 030285
Wills J M, and Harrison W A, Phys Rev B28 (1983) 4363
Khambholja S G, and Thakore B Y, Mater Today Proc3 (2016) 2971
Thakore B Y, Khambholja S G, Suthar P H, Bhatt N K, and Jani A R, Chin Phys Lett27 (2010) 096203
Copestake A P, Evans R, Ruppersberg H, and Schirmacher W, J Phys F Met Phys13 (1983) 1993
Harisson W A, and Benjamin W A, Pseudopotentials in the Theory of Metals, W.A. Benjamin, New York (1966)
Cowley E R, and Shukla R C, Phys Rev B, 9 (1974) 1261
Pratap A, Lad K N, and Raval K G, Prajana63 (2004) 431
Anteno N, and Padro J A, Phys Rev E64 (2001) 021202
Ashcroft N W, Phys Lett23 (1966) 48
Stankus S V, Khairulin R, Mozgovoy A, Roshchupkin V, and Pokrasin M, J Phys Conf Ser98 (2008) 062017
Humrickhouse P W, and Merrill B J, Fusion Eng Des127 (2018) 10
Mehta A, Chakraborty P, Fotedar R K, and Rajendrakumar E, Fusion Sci Technol65 (2014) 299
Ichimaru S, and Utsumi K, Phys Rev B24 (1981) 3220
Hubbard J, and Beeby J L, J Phys C2 (1969) 556
Mudry S, Shtablavyi I, Sklyarchuk V, and Plevachuk Y, J Nucl Mater376 (2008) 371
Sinha S, Srivastava P L, and Singh R N, J Phys C1 (1989) 1695
Waseda Y, The Structure of Non-crystalline Materials: Liquid and Amorphous Solids, McGRAW HILL International, New York (1980)
Bhuiyan G M, and Abbas F I, Local Minimum in Effective Pair Potentials: Pseudopotential Theory Revisited, arxiv.org/abs/1710.07931v1
Ueki Y, Noguchi Y, Yagi J, Tanaka T, Yokomine T, Hirabayashi M, Ara K, Kunugi T, and Sagara A, in Ultrasonic Doppler Velocimetry Experiment of Lead-Lithium Flow, 10th International Symposium on Ultrasonic Doppler Methods for Fluid Mechanics and Fluid Engineering Tokyo Japan (28–30 Sep., 2016)
Acknowledgements
Authors SGK, AA and DPM are grateful to Board of Research in Nuclear Science, Department of Atomic Energy, Government of India, for financial assistance under a Major Research Project 39/14/29/2016-BRNS.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Khambholja, S.G., Abhishek, A., Mehta, D.P. et al. Structure Factor and Phonon Dispersion in Liquid Pb–Li Eutectic. Trans Indian Inst Met 73, 199–205 (2020). https://doi.org/10.1007/s12666-019-01822-w
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12666-019-01822-w