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Title: Consequences of Lattice Mismatch for Phase Equilibrium in Heterostructured Solids

Abstract

Lattice mismatch - the difference in natural bond length between two species comprising a solid is a common occurrence in modern materials. Spatial patterns in certain nanocrystal heterostructures, for instance, are thought to be a result of elastic forces arising from lattice mismatch. However, the role of lattice mismatch in mediating the arrangement of atoms in such materials is incompletely understood. Here we consider a simple microscopic model for lattice mismatch, in which the difference in natural lengths between bonded atoms produces interactions mediated by elastic strain. Computer simulations reveal that the model exhibits rich phase behavior, including structures with periodic order and unusual coexistence scenarios. To explain this phase behavior, we derive an effective pairwise interaction potential between atoms, revealing preferred spatial arrangements of atoms driven by spatial variations in the interaction potential. We then develop a mean field theory based on this effective interaction which qualitatively captures observed transition to phases with modulated order. Finally, we explain the observed scenarios of coexistence between using a graphical construction, based on the realization that the free energy cost of phase separation in elastic systems grows with system size. Here, these results clarify the equilibrium effects of lattice mismatch in macroscopicmore » solids and suggest a role for lattice mismatch in creating spatially heterogeneous compositions in nanoscale materials.« less

Authors:
ORCiD logo [1];  [2];  [1]
+ Show Author Affiliations
  1. Univ. of California, Berkeley, CA (United States)
  2. Univ. of Vienna (Austria)
Publication Date:
Research Org.:
Univ. of California, Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1572233
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 123; Journal Issue: 13; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Lattice mismatch, strain, phase transition

Citation Formats

Frechette, Layne B., Dellago, Christoph, and Geissler, Phillip L. Consequences of Lattice Mismatch for Phase Equilibrium in Heterostructured Solids. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.123.135701.
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Frechette, Layne B., Dellago, Christoph, & Geissler, Phillip L. Consequences of Lattice Mismatch for Phase Equilibrium in Heterostructured Solids. United States. doi:10.1103/PhysRevLett.123.135701.
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Frechette, Layne B., Dellago, Christoph, and Geissler, Phillip L. Tue . "Consequences of Lattice Mismatch for Phase Equilibrium in Heterostructured Solids". United States. doi:10.1103/PhysRevLett.123.135701.
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@article{osti_1572233,
title = {Consequences of Lattice Mismatch for Phase Equilibrium in Heterostructured Solids},
author = {Frechette, Layne B. and Dellago, Christoph and Geissler, Phillip L.},
abstractNote = {Lattice mismatch - the difference in natural bond length between two species comprising a solid is a common occurrence in modern materials. Spatial patterns in certain nanocrystal heterostructures, for instance, are thought to be a result of elastic forces arising from lattice mismatch. However, the role of lattice mismatch in mediating the arrangement of atoms in such materials is incompletely understood. Here we consider a simple microscopic model for lattice mismatch, in which the difference in natural lengths between bonded atoms produces interactions mediated by elastic strain. Computer simulations reveal that the model exhibits rich phase behavior, including structures with periodic order and unusual coexistence scenarios. To explain this phase behavior, we derive an effective pairwise interaction potential between atoms, revealing preferred spatial arrangements of atoms driven by spatial variations in the interaction potential. We then develop a mean field theory based on this effective interaction which qualitatively captures observed transition to phases with modulated order. Finally, we explain the observed scenarios of coexistence between using a graphical construction, based on the realization that the free energy cost of phase separation in elastic systems grows with system size. Here, these results clarify the equilibrium effects of lattice mismatch in macroscopic solids and suggest a role for lattice mismatch in creating spatially heterogeneous compositions in nanoscale materials.},
doi = {10.1103/PhysRevLett.123.135701},
journal = {Physical Review Letters},
number = 13,
volume = 123,
place = {United States},
year = {2019},
month = {9}
}
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Journal Article:
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DOI:  10.1103/PhysRevLett.123.135701
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Works referenced in this record:

Spontaneous Superlattice Formation in Nanorods Through Partial Cation Exchange
journal, July 2007

  • Robinson, R. D.; Sadtler, B.; Demchenko, D. O.
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Cation Exchange Reactions in Ionic Nanocrystals
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  • Son, Dong Hee; Hughes, Steven M.; Yin, Yadong
  • Science, Vol. 306, Issue 5698, p. 1009-1012
  • DOI: 10.1126/science.1103755
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