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Title: Power–Law Feature of Structure in Metallic Glasses

Abstract

The atomic packing in metallic glasses (MGs) is a long-standing issue. We investigate the atomic packing on different length scales for various MGs by X-ray diffraction and small-angle X-ray scattering techniques. Our findings are that (1) a noncubic power–law relationship exists between both normalized average basic volume (Va = M / (ρ × N), where N is the Avogadro constant and M and ρ are the molar mass and density of the sample, respectively) and the center of mass of the first four peaks (qi) of structural factors in reciprocal space, having an exponent of about 2.52 ± 0.15 on the length scale of about 2.2–3.1 Å for 25 studied MGs, (2) a power–law relationship of the normalized scattering intensity vs q vector has an exponent of about 2.62 ± 0.12 on the length scale of about 250–785 Å for 5 studied MGs, and (3) in contrast, normalization of Va and ri (the center of mass of the first four peaks of pair correlation functions) in real space for 25 studied MGs reveals an exponent close to 3, similar to crystals. This discrepancy is elucidated by the fact that the pair correlation functions link with the atomic distribution along themore » radial direction but neglect how they are spatially packed on each shell. The perspective of the power–law relations on both length scales for the studied MGs deepens the understanding of the atomic packing structures in MGs.« less

Authors:
ORCiD logo [1];  [1];  [2];  [2];  [3]; ORCiD logo [3];  [1]; ORCiD logo [4]; ORCiD logo [5]; ORCiD logo [1]
  1. Zhejiang Univ., Hangzhou (People’s Republic of China). International Center for New-Structured Materials (ICNSM), Lab. of New-Structured Materials, State Key Lab. of Silicon Materials, and School of Materials Science and Engineering
  2. Zhejiang Univ., Hangzhou (People’s Republic of China). Dept. of Mathematics
  3. Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
  4. Shenzhen Univ. (People’s Republic of China). Guangdong Provincial Key Lab. of Micro/Nano Optomechatronics Engineering, College of Mechatronics and Control Engineering
  5. Zhejiang Univ., Hangzhou (People’s Republic of China). State Key Lab. of Modern Optical Instrumentation
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Natural Science Foundation of China (NNSFC)
OSTI Identifier:
1608296
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physical Chemistry. C
Additional Journal Information:
Journal Volume: 123; Journal Issue: 45; Journal ID: ISSN 1932-7447
Publisher:
American Chemical Society
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; SAXS; Metallic glass; Crystals; Scattering; Chemical structure; Physical and chemical processes; X-ray scattering

Citation Formats

Zhang, W. B., Wang, X. D., Kong, Q. G., Ruan, H. J., Zuo, X. B., Ren, Y., Cao, Q. P., Wang, H., Zhang, D. X., and Jiang, J. Z.. Power–Law Feature of Structure in Metallic Glasses. United States: N. p., 2019. Web. https://doi.org/10.1021/acs.jpcc.9b07168.
Zhang, W. B., Wang, X. D., Kong, Q. G., Ruan, H. J., Zuo, X. B., Ren, Y., Cao, Q. P., Wang, H., Zhang, D. X., & Jiang, J. Z.. Power–Law Feature of Structure in Metallic Glasses. United States. https://doi.org/10.1021/acs.jpcc.9b07168
Zhang, W. B., Wang, X. D., Kong, Q. G., Ruan, H. J., Zuo, X. B., Ren, Y., Cao, Q. P., Wang, H., Zhang, D. X., and Jiang, J. Z.. Tue . "Power–Law Feature of Structure in Metallic Glasses". United States. https://doi.org/10.1021/acs.jpcc.9b07168. https://www.osti.gov/servlets/purl/1608296.
@article{osti_1608296,
title = {Power–Law Feature of Structure in Metallic Glasses},
author = {Zhang, W. B. and Wang, X. D. and Kong, Q. G. and Ruan, H. J. and Zuo, X. B. and Ren, Y. and Cao, Q. P. and Wang, H. and Zhang, D. X. and Jiang, J. Z.},
abstractNote = {The atomic packing in metallic glasses (MGs) is a long-standing issue. We investigate the atomic packing on different length scales for various MGs by X-ray diffraction and small-angle X-ray scattering techniques. Our findings are that (1) a noncubic power–law relationship exists between both normalized average basic volume (Va = M / (ρ × N), where N is the Avogadro constant and M and ρ are the molar mass and density of the sample, respectively) and the center of mass of the first four peaks (qi) of structural factors in reciprocal space, having an exponent of about 2.52 ± 0.15 on the length scale of about 2.2–3.1 Å for 25 studied MGs, (2) a power–law relationship of the normalized scattering intensity vs q vector has an exponent of about 2.62 ± 0.12 on the length scale of about 250–785 Å for 5 studied MGs, and (3) in contrast, normalization of Va and ri (the center of mass of the first four peaks of pair correlation functions) in real space for 25 studied MGs reveals an exponent close to 3, similar to crystals. This discrepancy is elucidated by the fact that the pair correlation functions link with the atomic distribution along the radial direction but neglect how they are spatially packed on each shell. The perspective of the power–law relations on both length scales for the studied MGs deepens the understanding of the atomic packing structures in MGs.},
doi = {10.1021/acs.jpcc.9b07168},
journal = {Journal of Physical Chemistry. C},
number = 45,
volume = 123,
place = {United States},
year = {2019},
month = {11}
}

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