Abstract
The laws of changing the presolidification supercooling of bismuth drops during continuous thermal cycling were studied by thermal analysis in the temperature–time coordinates. A sawtooth cyclic dependence of the supercooling on the sequence of heating and cooling cycles, which is described by a Fourier function, is detected. An expression is derived for the energy of coagulation of nuclei, and it is used to find a relation between the experimental and calculated supercoolings. The obtained results are interpreted in terms of a cluster-coagulation solidification model and the anomalous properties of bismuth in melting and solidification.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS0036029519010026/MediaObjects/11505_2019_10125_Fig1_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS0036029519010026/MediaObjects/11505_2019_10125_Fig2_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS0036029519010026/MediaObjects/11505_2019_10125_Fig3_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS0036029519010026/MediaObjects/11505_2019_10125_Fig4_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS0036029519010026/MediaObjects/11505_2019_10125_Fig5_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS0036029519010026/MediaObjects/11505_2019_10125_Fig6_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS0036029519010026/MediaObjects/11505_2019_10125_Fig7_HTML.gif)
Similar content being viewed by others
REFERENCES
Properties of Elements: A Handbook, Ed. by E. M. Drits (Metallurgiya, Moscow, 1985).
A. P. Babichev, N. A. Babushkina, A. M. Brabkovskii, et al., Physical Values: A Handbook, Ed. by I. S. Grigor’ev and E. Z. Mikhailov (Energoizdat, Moscow, 1991).
G. N. Kozhemyakin, A. A. Berezhnaya, A. A. Brovko, A. B. Drigoda, and M. O. Kryukov, “Growth of bismuth crystals by the Czochralski technique,” Vestn. Lugansk. Univ., No. 8 (2012).
B. I. Khrushchev, Structure of Liquid Metals (FAN, Tashkent, 1970).
L. I. Tatrinova, Structure of Solid Amorphous and Liquid Substances (Nauka, Moscow, 1983).
Danilov, Structure and Solidification of Liquid (Izd. AN USSR, Kiev, 1956).
V. D. Aleksandrov, Kinetics of Nucleation and Mass Solidification of Supercooled Liquids and Amorphous Media (Donbass, Donetsk, 2011).
V. D. Aleksandrov and V. I. Petrenko, “Effect of a jumplike transition from equilibrium to explosive solidification of bismuth drops,” Pis’ma Zh. Tekh. Fiz. 9 (22), 1354–1356 (1983).
V. D. Aleksandrov and V. A. Postnikov, “Presolidification supercooling of the bismuth melt as a function of the sample mass,” Pis’ma Zh. Tekh. Fiz. 29 (7), 48–54 (2003).
V. D. Aleksandrov, A. A. Barannikov, N. E. Malinovskaya, and S. A. Frolova, “Effect of vibration and mixing of the Bi, Sb, and Sn melts on the supercooling during their solidification,” Rasplavy, No. 3, 81–85 (2001).
V. D. Aleksandrov and A. A. Barannikov, “Effect of a dc magnetic field on the supercooling of bismuth during solidification,” Metally, No. 5, 47–50 (2000).
V. D. Aleksandrov and S. A. Frolova, “Supercooling during the solidification of In–Bi alloys,” in Starodubov Readings (Dnepropetrovsk, 2003), Vol. 1, pp. 164–169.
N. T. Gladkikh, A. P. Kryshtal’, R. V. Sukhov, and L. N. Chepurnaya, “Change in the morphological structure of condensed tin, bismuth, and eutectic tin–bismuth alloy films on a carbon substrate,” Vopr. Atom. Nauki Tekhn., No. 4/2, 293–297 (2009).
I. N. Bronshtein and K. A. Semendyaev, Handbook on Mathematics for Engineers and Students (Nauka, Moscow, 1986).
B. Chalmers, Principles of Solidification (Wiley, New York, 1964).
M. Volmer, Kinetik der Phasenbildung (Steinkopf Verlag, Dresden, 1939).
V. D. Aleksandrov and E. A. Pokintelitsa, “Method of calculating the nucleus size during homogeneous solidification from a supercooled liquid,” ZhFKh 90 (9), 1385–1388 (2016).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by K. Shakhlevich
Rights and permissions
About this article
Cite this article
Aleksandrov, V.D., Zozulya, A.P., Frolova, S.A. et al. Cyclic Supercooling of Liquid Bismuth Drops during Solidification. Russ. Metall. 2019, 77–82 (2019). https://doi.org/10.1134/S0036029519010026
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0036029519010026