Abstract
The Pt–Rh alloy is currently the most promising material for aerospace engine thruster nozzles. The performance of the alloy is closely related to the Rh content. Pt-40Rh is the most important variant of the Pt–Rh alloy system. In this paper, the crystal structure, equation of state (EOS), elastic properties and thermal properties of the Pt-40Rh alloy were studied using first-principle calculations based on density, functional theory and the quasi-harmonic Debye model. The results showed that the crystalloid volume of Pt-40Rh was strongly influenced by the pressure and temperature. The higher the temperature and reduced pressure, the greater the change in volume. Under zero temperature and zero pressure, the Poisson's ratio and BH/GH of the Pt-40Rh crystal were 0.335 and 2.433, respectively. Meanwhile, the thermal property calculations also revealed that the constant pressure heat capacity (CP) continued to increase with temperature. The constant body heat capacity (CV) gradually tended to the Dulong-Petit limit value (99.768 J·mol−1·K−1) when the temperature was above 600 K, that is while CP continued to increase with the increase in temperature.
Similar content being viewed by others
References
G.Q. Zhang, Acta. Metall. Sin. 18 (2009) 443 doi: https://doi.org/10.1007/s40195-020-01092-2
J. C. Williams and E. A. Starke, Acta. Mater. 51(2013) 5775 doi: https://doi.org/10.1016/j.actamat.2003.08.023
J. A. Dever, M. V. Nathal and J. A. DiCarlo, J. Aerospace. Eng. 26(2013) 500 doi: https://doi.org/10.1061/(ASCE) AS.1943-5525.0000321
B. N. Bhat, Aerospace materials and Applications (American Institute of Aeronautics and Astronautics, Inc., 2018)
S. D. Antolovich, E. P. Busso, P. Skelton, J. Telesman, Mater. High. Temp. 33(2016) 289 doi: https://doi.org/10.1080/09603409.2016.1206294
A. Tiwary, R. Kumar and J. S. Chohan, Mater. Today. 51(2022) 865 doi: https://doi.org/10.1016/j.matpr.2021.06.276
L. A. Cornish, B. Fischer and R. Völkl, MRS. Bull 28(2003) 632 doi: https://doi.org/10.1557/mrs2003.190
L. A. Cornish, R. Süss and A. Douglas, Met. Rev. 53(2009) 2 doi: https://doi.org/10.1595/147106709X393299
L. A. Cornish, R. Süss and L. H. Chown, Met. Rev. 53(2009)155 doi: https://doi.org/10.1595/147106709X464371
J. H. Potgieter, N. B. Maledi and M. Sephton, Met. Rev. 54(2010) 112 doi:https://doi.org/10.1595/147106710X497904
X. Zhang, Y. Chen and J. Hu, Prog. Aerosp. Sci. 97(2018) 22 doi: https://doi.org/10.1016/j.paerosci.2018.01.001
C.Y. Hu, Y. Wei, H. Cai, L. Chen, X. Wang, X. Zhang, G. Zhang, X. Wang, Johnson. Matthey. Tech. 65(2021) 535 doi: https://doi.org/10.1595/205651321X16221908118376
Y. X. Zhou, X. Chong, M. Hu, Y. Wei, C. Hu, A. Zhang, and J. Feng, Phys. Lett. A 405 (2021) 127424 doi: https://doi.org/10.1016/j.physleta.2021.127424
V. S. Prasad, R. G. Baligidad and A. A. Gokhale, Aerospace Materials and Material Technologies 2017 267 doi: https://doi.org/10.1007/978-981-10-2134-3_12
P. J. Hill, N. Adams, T. Biggs, P. Ellis, J. Hohls, S. S. Taylor, I. M. Wolff,Mater. Sci. Eng. A 329 (2002) 295 doi: https://doi.org/10.1016/S0921-5093(01)01577-5
B. A. Douglas, P. J. Hill and T. Murakumo, Met. Rev. 53(2009) 69 doi: https://doi.org/10.1595/147106709X434040
Z. M. Rdzawski and J. P. Stobrawa, Mater. Process. Technol. 153(2004) 681 doi: https://doi.org/10.1016/j.jmatprotec.2004.04.130
Y. Ning, Z. Yang and F. Wen, Platinum (Metallurgical Industry Press, Beijing, 2010)
S. Chen, J. Lu and M. Xie, Rare. Metals. 39(2015) 276 doi: https://doi.org/10.13373/j.cnki.cjrm.2015.03.012
G. B. Fairbank, Development of platinum alloys for high-temperature service (Doctoral dissertation, University of Cambridge, 2003)
M. Tian, C. Hu, H. Cai, X. Li, Y. Wei, L. He, Mater. Sci. Eng. A 2020 797 doi: https://doi.org/10.1016/j.msea.2020.139966
D. R. Hamann, M. Schlüter and C. Chiang, Phys. Rev. Lett. 43(1979) 1494. doi: https://doi.org/10.1103/PhysRevLett.43.1494
M. D. Segall, P. J. D. Lindan, M. J. Probert, C. J. Pickard, P. J. Hasnip, S. J. Clark, M. C. Payne, J. Phys. Condens. Matter. 14(2002) 2717 doi: https://doi.org/10.1088/0953-8984/14/11/301
A. Kundu, N. Mingo and D. Broido, Phys. Rev. B 84(2011) 125426. doi: https://doi.org/10.1103/PhysRevB.84.125426
B. Hammer, L. B. Hansen and J. K. Nørskov, Phys. Rev. B 59(1999)7413 doi: https://doi.org/10.1103/PhysRevB.59.7413
J. P. Perdew and Y. Wang, Phys. Rev. B 45 (1992) 13244. doi: https://doi.org/10.1103/PhysRevB.45.13244
H. J. Monkhorst and J. D. Pack, Phys. Rev. B 13(1976) 5188 doi: https://doi.org/10.1103/PhysRevB.13.5188
Z. T. Yuan, Y. Jiang, L. Li, J. Feng,Sci Adv Mater. 10 (1976) 1475 doi: https://doi.org/10.1166/sam.2018.3333
X. Wang, J. Rong, Y. Song, X. Yu, Z. Zhan, J. Deng, Phys. Lett. A 381(2017) 2845 doi: https://doi.org/10.1016/j.physleta.2017.06.035
R. Hill, Section A 65(1952) 349 doi: https://doi.org/10.1088/0370-1298/65/5/307
M. A. Blanco, E. Francisco and V. Luana, Comput Phys Commun 158 (2004) 57 doi: https://doi.org/10.1016/j.comphy.2003.12.001
T. Yang, A. Rakita, N. Nikolić, M. Mildner, J. Matiasek, A. Elbe-Bürger, Sci. Rep. 10(2020)1 doi: https://doi.org/10.1038/s41598-020-59687-9
A. Kundu,N. Mingo, D. A. Broido, D. A. Stewart, Phys. Rev. B 84(2011) 125426 doi:https://doi.org/10.1103/PhysRevB.84.125426
F. Birch, Phys. Rev. E. 71(1947) 809 doi: https://doi.org/10.1038/s41598-020-59687-9
K. Latimer, S. Dwaraknath, K. Mathew, D. Winston, K. A. Persson, NPJComput.Mater. 4(2018) 1 doi:https://doi.org/10.1038/s41524-018-0091-x
J. Qin, X. Zhang, Y. Xue, X. Li, M. Ma, R. Liu, Comput. Mater. Sci. 79(2013) 456 doi: https://doi.org/10.1016/j.commatsci.2013.06.003
G. V. Sin’Ko and N. A. Smirnov, J. Phys-Condens. Mat. 14(2002) 6989 doi: https://doi.org/10.1088/0953-8984/14/29/301
S. L. Shang, G. Sheng, Y. Wang, L. Q. Chen, Z. K. Liu, Phys. Rev. B 80(2009) 052102 doi.org/https://doi.org/10.1103/PhysRevB.80.052102
Acknowledgements
This research was sponsored by the National Natural Science Foundation of China (Grant No. 52161005), The Major Science and Technology Program of Yunnan, China (2019ZE001 and 202002AB080001-1) and Natural Science Foundation of Yunnan, China (Grant Nos. 2019FA048 and 2019FI020).
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
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Wei, Y., Zhang, M., Hu, C. et al. First-Principles Investigation on the High-Temperature Mechanical Properties and Thermal Properties of Pt-40Rh. Trans Indian Inst Met 76, 1545–1552 (2023). https://doi.org/10.1007/s12666-022-02802-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12666-022-02802-3