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Title: On the question of fractal packing structure in metallic glasses

Abstract

This work addresses the long-standing debate over fractal models of packing structure in metallic glasses (MGs). Through detailed fractal and percolation analyses of MG structures, derived from simulations spanning a range of compositions and quenching rates, we conclude that there is no fractal atomic-level structure associated with the packing of all atoms or solute-centered clusters. The results are in contradiction with conclusions derived from previous studies based on analyses of shifts in radial distribution function and structure factor peaks associated with volume changes induced by pressure and compositional variations. Here in this paper, the interpretation of such shifts is shown to be challenged by the heterogeneous nature of MG structure and deformation at the atomic scale. Moreover, our analysis in the present work illustrates clearly the percolation theory applied to MGs, for example, the percolation threshold and characteristics of percolation clusters formed by subsets of atoms, which can have important consequences for structure–property relationships in these amorphous materials.

Authors:
ORCiD logo [1];  [2];  [2]
  1. Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720,
  2. Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720,, Department of Materials Science and Engineering, University of California, Berkeley, CA 94720
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1372717
Alternate Identifier(s):
OSTI ID: 1421804
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Published Article
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 114 Journal Issue: 32; Journal ID: ISSN 0027-8424
Publisher:
Proceedings of the National Academy of Sciences
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; metallic glass; fractal structure; percolation cluster; dimensionality; inhomogeneous deformation

Citation Formats

Ding, Jun, Asta, Mark, and Ritchie, Robert O. On the question of fractal packing structure in metallic glasses. United States: N. p., 2017. Web. doi:10.1073/pnas.1705723114.
Ding, Jun, Asta, Mark, & Ritchie, Robert O. On the question of fractal packing structure in metallic glasses. United States. https://doi.org/10.1073/pnas.1705723114
Ding, Jun, Asta, Mark, and Ritchie, Robert O. Tue . "On the question of fractal packing structure in metallic glasses". United States. https://doi.org/10.1073/pnas.1705723114.
@article{osti_1372717,
title = {On the question of fractal packing structure in metallic glasses},
author = {Ding, Jun and Asta, Mark and Ritchie, Robert O.},
abstractNote = {This work addresses the long-standing debate over fractal models of packing structure in metallic glasses (MGs). Through detailed fractal and percolation analyses of MG structures, derived from simulations spanning a range of compositions and quenching rates, we conclude that there is no fractal atomic-level structure associated with the packing of all atoms or solute-centered clusters. The results are in contradiction with conclusions derived from previous studies based on analyses of shifts in radial distribution function and structure factor peaks associated with volume changes induced by pressure and compositional variations. Here in this paper, the interpretation of such shifts is shown to be challenged by the heterogeneous nature of MG structure and deformation at the atomic scale. Moreover, our analysis in the present work illustrates clearly the percolation theory applied to MGs, for example, the percolation threshold and characteristics of percolation clusters formed by subsets of atoms, which can have important consequences for structure–property relationships in these amorphous materials.},
doi = {10.1073/pnas.1705723114},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 32,
volume = 114,
place = {United States},
year = {Tue Jul 25 00:00:00 EDT 2017},
month = {Tue Jul 25 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1073/pnas.1705723114

Citation Metrics:
Cited by: 28 works
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Works referenced in this record:

Development of an interatomic potential for the Ni-Al system
journal, December 2009


Bulk Metallic Glasses
journal, February 2013


Power-law correlations and finite-size effects in silica particle aggregates studied by small-angle neutron scattering
journal, January 1986


A structural model for metallic glasses
journal, September 2004


Relating Dynamic Properties to Atomic Structure in Metallic Glasses
journal, July 2012


Full icosahedra dominate local order in Cu64Zr34 metallic glass and supercooled liquid
journal, May 2014


Polyamorphism in a metallic glass
journal, February 2007

  • Sheng, H. W.; Liu, H. Z.; Cheng, Y. Q.
  • Nature Materials, Vol. 6, Issue 3
  • DOI: 10.1038/nmat1839

Rejuvenation of metallic glasses by non-affine thermal strain
journal, August 2015


Ordering and dimensional crossovers in metallic glasses and liquids
journal, January 2017


Embedded-atom potential for B 2 NiAl
journal, June 2002


Development of suitable interatomic potentials for simulation of liquid and amorphous Cu–Zr alloys
journal, April 2009


Atomic structure of amorphous Al 90 Fe x Ce 10−x
journal, December 1990

  • Hsieh, H. Y.; Toby, B. H.; Egami, T.
  • Journal of Materials Research, Vol. 5, Issue 12
  • DOI: 10.1557/JMR.1990.2807

Atomic packing and short-to-medium-range order in metallic glasses
journal, January 2006

  • Sheng, H. W.; Luo, W. K.; Alamgir, F. M.
  • Nature, Vol. 439, Issue 7075
  • DOI: 10.1038/nature04421

General 2.5 power law of metallic glasses
journal, February 2016

  • Zeng, Qiaoshi; Lin, Yu; Liu, Yijin
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 7
  • DOI: 10.1073/pnas.1525390113

A damage-tolerant glass
journal, January 2011

  • Demetriou, Marios D.; Launey, Maximilien E.; Garrett, Glenn
  • Nature Materials, Vol. 10, Issue 2
  • DOI: 10.1038/nmat2930

Supercooled liquids and the glass transition
journal, March 2001

  • Debenedetti, Pablo G.; Stillinger, Frank H.
  • Nature, Vol. 410, Issue 6825
  • DOI: 10.1038/35065704

Shear bands in metallic glasses
journal, April 2013

  • Greer, A. L.; Cheng, Y. Q.; Ma, E.
  • Materials Science and Engineering: R: Reports, Vol. 74, Issue 4
  • DOI: 10.1016/j.mser.2013.04.001

Strain Localization and Percolation of Stable Structure in Amorphous Solids
journal, August 2005


Formation of monatomic metallic glasses through ultrafast liquid quenching
journal, August 2014

  • Zhong, Li; Wang, Jiangwei; Sheng, Hongwei
  • Nature, Vol. 512, Issue 7513
  • DOI: 10.1038/nature13617

Mechanical behavior of amorphous alloys
journal, July 2007


Atomic Level Structure in Multicomponent Bulk Metallic Glass
journal, June 2009


Liquid-glass transition, a free-volume approach
journal, August 1979


Fractal atomic-level percolation in metallic glasses
journal, September 2015


Structural behavior of Pd40Cu30Ni10P20 bulk metallic glass below and above the glass transition
journal, April 2003

  • Mattern, Norbert; Hermann, Helmut; Roth, Stefan
  • Applied Physics Letters, Vol. 82, Issue 16
  • DOI: 10.1063/1.1567457

Thermal expansion measurements by x-ray scattering and breakdown of Ehrenfest's relation in alloy liquids
journal, May 2014

  • Gangopadhyay, A. K.; Blodgett, M. E.; Johnson, M. L.
  • Applied Physics Letters, Vol. 104, Issue 19
  • DOI: 10.1063/1.4876125

Atomic-level structure and structure–property relationship in metallic glasses
journal, May 2011


Power-law scaling and fractal nature of medium-range order in metallic glasses
journal, December 2008

  • Ma, D.; Stoica, A. D.; Wang, X. -L.
  • Nature Materials, Vol. 8, Issue 1
  • DOI: 10.1038/nmat2340

Universal Fractional Noncubic Power Law for Density of Metallic Glasses
journal, May 2014


Self similarity and correlations in percolation
journal, June 1983

  • Kapitulnik, A.; Aharony, A.; Deutscher, G.
  • Journal of Physics A: Mathematical and General, Vol. 16, Issue 8
  • DOI: 10.1088/0305-4470/16/8/003

Pressure tunes atomic packing in metallic glass
journal, April 2006

  • Sheng, H. W.; Ma, E.; Liu, H. Z.
  • Applied Physics Letters, Vol. 88, Issue 17
  • DOI: 10.1063/1.2197315