Quantifying the origin of metallic glass formation

Nature Communications
William L JohnsonM D Demetriou

Abstract

The waiting time to form a crystal in a unit volume of homogeneous undercooled liquid exhibits a pronounced minimum τX* at a 'nose temperature' T(*) located between the glass transition temperature Tg, and the crystal melting temperature, TL. Turnbull argued that τX* should increase rapidly with the dimensionless ratio trg=Tg/TL. Angell introduced a dimensionless 'fragility parameter', m, to characterize the fall of atomic mobility with temperature above Tg. Both trg and m are widely thought to play a significant role in determining τX*. Here we survey and assess reported data for TL, Tg, trg, m and τX* for a broad range of metallic glasses with widely varying τX*. By analysing this database, we derive a simple empirical expression for τX*(trg, m) that depends exponentially on trg and m, and two fitting parameters. A statistical analysis shows that knowledge of trg and m alone is therefore sufficient to predict τX* within estimated experimental errors. Surprisingly, the liquid/crystal interfacial free energy does not appear in this expression for τX*.

References

Sep 1, 2006·The Journal of Chemical Physics·Li-Min WangRanko Richert
Oct 10, 2006·Physical Review Letters·Marios D DemetriouWilliam L Johnson
Mar 31, 1995·Science·C A Angell
Nov 12, 2009·Proceedings of the National Academy of Sciences of the United States of America·John C MauroDouglas C Allan
Jun 9, 2014·The Journal of Chemical Physics·J Orava, A L Greer
Jun 14, 2014·Proceedings of the National Academy of Sciences of the United States of America·Jong Hyun NaWilliam L Johnson
Oct 2, 2014·Scientific Reports·Georg KaltenboeckWilliam L Johnson
May 21, 2015·Nature Materials·A Lindsay Greer

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Citations

Apr 27, 2017·The Journal of Physical Chemistry. B·Yashika Sharma, Sevi Murugavel
Jan 18, 2020·Science Advances·Si-Xu PengMatthias Wuttig
Nov 15, 2016·Journal of Physics. Condensed Matter : an Institute of Physics Journal·K F Kelton
Mar 24, 2020·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Nico NeuberRalf Busch
Mar 3, 2019·Scientific Reports·Jong Hyun NaWilliam L Johnson
Jan 30, 2020·Proceedings of the National Academy of Sciences of the United States of America·Jong H NaWilliam L Johnson
Nov 21, 2020·Physical Review. E·Chae Woo Ryu, Takeshi Egami
Dec 15, 2020·Science Advances·Yuan-Chao Hu, Hajime Tanaka
Mar 17, 2021·The Journal of Chemical Physics·Ajay AnnamareddyDane Morgan
Sep 19, 2019·ACS Combinatorial Science·Jingbei LiuJan Schroers
Sep 14, 2017·ACS Combinatorial Science·Yanglin LiJan Schroers
Jan 7, 2020·The Journal of Physical Chemistry Letters·Qi AnWilliam A Goddard

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