Ionic conductivity in glasses: A Monte-Carlo study of ordered and disordered one-dimensional models

A. Pechenik; S. Susman; D. H. Whitmore; M. A. Ratner

doi:10.1016/0167-2738(86)90150-5

Ionic conductivity in glasses: A Monte-Carlo study of ordered and disordered one-dimensional models

A. Pechenik, S. Susman, D. H. Whitmore, M. A. Ratner

Northwestern University

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

Ionic conductivity in ordered and disordered one-dimensional lattice gas models has been investigated using a Monte-Carlo simulation technique. Two one-dimensional lattices have been investigated: (a) an ordered array of deep and shallow potential wells and (b) a disordered array of the same two types of potential wells. An interesting influence of disorder on activation has been observed based upon the Arrhenius plots of the ionic conductivity. The activation energy for the disordered arrangement of sites is lower than that for the ordered one. This result is in agreement with the experimentally-observed increase of activation energy for β-eucryptite upon proceeding from the glassy to the crystalline state, and arises from decreased ion-ordering in the disordered potential. Effects of ion-ion correlations in one-dimensional systems are also discussed and these provide a simple physical interpretation of the charge correlation factor, f_c.

Original language	English
Pages (from-to)	403-409
Number of pages	7
Journal	Solid State Ionics
Volume	18-19
Issue number	PART 1
DOIs	https://doi.org/10.1016/0167-2738(86)90150-5
Publication status	Published - Jan 1986

ASJC Scopus subject areas

Chemistry(all)
Materials Science(all)
Condensed Matter Physics

Access to Document

10.1016/0167-2738(86)90150-5

Fingerprint Dive into the research topics of 'Ionic conductivity in glasses: A Monte-Carlo study of ordered and disordered one-dimensional models'. Together they form a unique fingerprint.

Cite this

@article{dec49c5c31c043b39b55b7585ffb6b7a,

title = "Ionic conductivity in glasses: A Monte-Carlo study of ordered and disordered one-dimensional models",

abstract = "Ionic conductivity in ordered and disordered one-dimensional lattice gas models has been investigated using a Monte-Carlo simulation technique. Two one-dimensional lattices have been investigated: (a) an ordered array of deep and shallow potential wells and (b) a disordered array of the same two types of potential wells. An interesting influence of disorder on activation has been observed based upon the Arrhenius plots of the ionic conductivity. The activation energy for the disordered arrangement of sites is lower than that for the ordered one. This result is in agreement with the experimentally-observed increase of activation energy for β-eucryptite upon proceeding from the glassy to the crystalline state, and arises from decreased ion-ordering in the disordered potential. Effects of ion-ion correlations in one-dimensional systems are also discussed and these provide a simple physical interpretation of the charge correlation factor, fc.",

author = "A. Pechenik and S. Susman and Whitmore, {D. H.} and Ratner, {M. A.}",

year = "1986",

month = jan,

doi = "10.1016/0167-2738(86)90150-5",

language = "English",

volume = "18-19",

pages = "403--409",

journal = "Solid State Ionics",

issn = "0167-2738",

publisher = "Elsevier",

number = "PART 1",

}

TY - JOUR

T1 - Ionic conductivity in glasses

T2 - A Monte-Carlo study of ordered and disordered one-dimensional models

AU - Pechenik, A.

AU - Susman, S.

AU - Whitmore, D. H.

AU - Ratner, M. A.

PY - 1986/1

Y1 - 1986/1

N2 - Ionic conductivity in ordered and disordered one-dimensional lattice gas models has been investigated using a Monte-Carlo simulation technique. Two one-dimensional lattices have been investigated: (a) an ordered array of deep and shallow potential wells and (b) a disordered array of the same two types of potential wells. An interesting influence of disorder on activation has been observed based upon the Arrhenius plots of the ionic conductivity. The activation energy for the disordered arrangement of sites is lower than that for the ordered one. This result is in agreement with the experimentally-observed increase of activation energy for β-eucryptite upon proceeding from the glassy to the crystalline state, and arises from decreased ion-ordering in the disordered potential. Effects of ion-ion correlations in one-dimensional systems are also discussed and these provide a simple physical interpretation of the charge correlation factor, fc.

AB - Ionic conductivity in ordered and disordered one-dimensional lattice gas models has been investigated using a Monte-Carlo simulation technique. Two one-dimensional lattices have been investigated: (a) an ordered array of deep and shallow potential wells and (b) a disordered array of the same two types of potential wells. An interesting influence of disorder on activation has been observed based upon the Arrhenius plots of the ionic conductivity. The activation energy for the disordered arrangement of sites is lower than that for the ordered one. This result is in agreement with the experimentally-observed increase of activation energy for β-eucryptite upon proceeding from the glassy to the crystalline state, and arises from decreased ion-ordering in the disordered potential. Effects of ion-ion correlations in one-dimensional systems are also discussed and these provide a simple physical interpretation of the charge correlation factor, fc.

UR - http://www.scopus.com/inward/record.url?scp=0021896101&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021896101&partnerID=8YFLogxK

U2 - 10.1016/0167-2738(86)90150-5

DO - 10.1016/0167-2738(86)90150-5

M3 - Article

AN - SCOPUS:0021896101

VL - 18-19

SP - 403

EP - 409

JO - Solid State Ionics

JF - Solid State Ionics

SN - 0167-2738

IS - PART 1

ER -