Relaxed continuous-random-network models

Paul Steinhardt; Richard Alben; M. G. Duffy; D. E. Polk

doi:10.1103/PhysRevB.8.6021

Relaxed continuous-random-network models

Paul Steinhardt
, Richard Alben
, M. G. Duffy
, D. E. Polk

Research output: Contribution to journal › Review article › peer-review

31 Scopus citations

Abstract

Elastic-energy-relaxed 201-atom and 519-atom continuous-random-network structures are described, and G (r)'s, corrected for finite-size effects, are compared with experimental measurements on amorphous germanium. Excellent agreement is obtained for the principal peaks in G (r). Even subtle features of G (r) such as the shape of the second peak and structure between the second and third peaks accord remarkably well with experiment.

Original language	English (US)
Pages (from-to)	6021-6023
Number of pages	3
Journal	Physical Review B
Volume	8
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevB.8.6021
State	Published - 1973
Externally published	Yes

All Science Journal Classification (ASJC) codes

Condensed Matter Physics

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10.1103/PhysRevB.8.6021

Cite this

@article{ed8cf0e0bb6b4371b9600f09c80b6be1,

title = "Relaxed continuous-random-network models",

abstract = "Elastic-energy-relaxed 201-atom and 519-atom continuous-random-network structures are described, and G (r)'s, corrected for finite-size effects, are compared with experimental measurements on amorphous germanium. Excellent agreement is obtained for the principal peaks in G (r). Even subtle features of G (r) such as the shape of the second peak and structure between the second and third peaks accord remarkably well with experiment.",

author = "Paul Steinhardt and Richard Alben and Duffy, \{M. G.\} and Polk, \{D. E.\}",

note = "Funding Information: The reasonableness of the continuous random network (CNR) model for the structure of tetrahedraUy coordinated amorphous semiconductors is demonstrated by Polk \textbackslash{}[1 \textbackslash{}], who showed that it is possible to connect rather rigid plastic and metal tetrahedral molecular units in a structure with little bond strain, no unsatisfied bonds and no perceptible long-range order \textbackslash{}[1-3\textbackslash{}]. For several years, our knowledge of the characteristics of these structures was based on laborious direct measurements of a single model of 440 units built by Polk \textbackslash{}[1 \textbackslash{}]. Models built by computer methods \textbackslash{}[4, *Research supported in part by NSF. **Presenta ddress: Dept. of Physics, California Institute of Technology, Pasadena, California 91109.",

year = "1973",

doi = "10.1103/PhysRevB.8.6021",

language = "English (US)",

volume = "8",

pages = "6021--6023",

journal = "Physical Review B",

issn = "0163-1829",

publisher = "American Physical Society",

number = "12",

}

TY - JOUR

T1 - Relaxed continuous-random-network models

AU - Steinhardt, Paul

AU - Alben, Richard

AU - Duffy, M. G.

AU - Polk, D. E.

N1 - Funding Information: The reasonableness of the continuous random network (CNR) model for the structure of tetrahedraUy coordinated amorphous semiconductors is demonstrated by Polk \[1 \], who showed that it is possible to connect rather rigid plastic and metal tetrahedral molecular units in a structure with little bond strain, no unsatisfied bonds and no perceptible long-range order \[1-3\]. For several years, our knowledge of the characteristics of these structures was based on laborious direct measurements of a single model of 440 units built by Polk \[1 \]. Models built by computer methods \[4, *Research supported in part by NSF. **Presenta ddress: Dept. of Physics, California Institute of Technology, Pasadena, California 91109.

PY - 1973

Y1 - 1973

N2 - Elastic-energy-relaxed 201-atom and 519-atom continuous-random-network structures are described, and G (r)'s, corrected for finite-size effects, are compared with experimental measurements on amorphous germanium. Excellent agreement is obtained for the principal peaks in G (r). Even subtle features of G (r) such as the shape of the second peak and structure between the second and third peaks accord remarkably well with experiment.

AB - Elastic-energy-relaxed 201-atom and 519-atom continuous-random-network structures are described, and G (r)'s, corrected for finite-size effects, are compared with experimental measurements on amorphous germanium. Excellent agreement is obtained for the principal peaks in G (r). Even subtle features of G (r) such as the shape of the second peak and structure between the second and third peaks accord remarkably well with experiment.

UR - https://www.scopus.com/pages/publications/4244014270

UR - https://www.scopus.com/pages/publications/4244014270#tab=citedBy

U2 - 10.1103/PhysRevB.8.6021

DO - 10.1103/PhysRevB.8.6021

M3 - Review article

AN - SCOPUS:4244014270

SN - 0163-1829

VL - 8

SP - 6021

EP - 6023

JO - Physical Review B

JF - Physical Review B

IS - 12

ER -

Relaxed continuous-random-network models

Abstract

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