Vibrations of Bethe lattices with an icosahedral basis: Application to amorphous boron

K. Shirai, Michael Thorpe, S. Gonda

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A model of an icosahedron-based random-network is constructed by using a Bethe lattice, and the vibrational spectrum has been calculated. Reasonable agreement with experimental spectra from amorphous boron is obtained. Comparison to the phonon spectra of crystalline boron with a similar structure shows the importance of the correlation in the phase of displacements between adjacent icosahedra. The even and odd vibrations have distinct frequencies in the crystal case. In a random network, the difference in the phase between intermolecular bonds is averaged, so that the highest frequency band becomes both IR and Raman active.

Original languageEnglish (US)
Pages (from-to)36-39
Number of pages4
JournalJournal of Non-Crystalline Solids
Volume198-200
Issue numberPART 1
DOIs
StatePublished - May 1996
Externally publishedYes

Fingerprint

Boron
boron
vibration
Vibrational spectra
vibrational spectra
Frequency bands
Crystalline materials
Crystals
crystals

ASJC Scopus subject areas

  • Ceramics and Composites
  • Electronic, Optical and Magnetic Materials

Cite this

Vibrations of Bethe lattices with an icosahedral basis : Application to amorphous boron. / Shirai, K.; Thorpe, Michael; Gonda, S.

In: Journal of Non-Crystalline Solids, Vol. 198-200, No. PART 1, 05.1996, p. 36-39.

Research output: Contribution to journalArticle

Shirai, K. ; Thorpe, Michael ; Gonda, S. / Vibrations of Bethe lattices with an icosahedral basis : Application to amorphous boron. In: Journal of Non-Crystalline Solids. 1996 ; Vol. 198-200, No. PART 1. pp. 36-39.
@article{0db5d932e5684045921fb7e88b740350,
title = "Vibrations of Bethe lattices with an icosahedral basis: Application to amorphous boron",
abstract = "A model of an icosahedron-based random-network is constructed by using a Bethe lattice, and the vibrational spectrum has been calculated. Reasonable agreement with experimental spectra from amorphous boron is obtained. Comparison to the phonon spectra of crystalline boron with a similar structure shows the importance of the correlation in the phase of displacements between adjacent icosahedra. The even and odd vibrations have distinct frequencies in the crystal case. In a random network, the difference in the phase between intermolecular bonds is averaged, so that the highest frequency band becomes both IR and Raman active.",
author = "K. Shirai and Michael Thorpe and S. Gonda",
year = "1996",
month = "5",
doi = "10.1016/0022-3093(95)00651-6",
language = "English (US)",
volume = "198-200",
pages = "36--39",
journal = "Journal of Non-Crystalline Solids",
issn = "0022-3093",
publisher = "Elsevier",
number = "PART 1",

}

TY - JOUR

T1 - Vibrations of Bethe lattices with an icosahedral basis

T2 - Application to amorphous boron

AU - Shirai, K.

AU - Thorpe, Michael

AU - Gonda, S.

PY - 1996/5

Y1 - 1996/5

N2 - A model of an icosahedron-based random-network is constructed by using a Bethe lattice, and the vibrational spectrum has been calculated. Reasonable agreement with experimental spectra from amorphous boron is obtained. Comparison to the phonon spectra of crystalline boron with a similar structure shows the importance of the correlation in the phase of displacements between adjacent icosahedra. The even and odd vibrations have distinct frequencies in the crystal case. In a random network, the difference in the phase between intermolecular bonds is averaged, so that the highest frequency band becomes both IR and Raman active.

AB - A model of an icosahedron-based random-network is constructed by using a Bethe lattice, and the vibrational spectrum has been calculated. Reasonable agreement with experimental spectra from amorphous boron is obtained. Comparison to the phonon spectra of crystalline boron with a similar structure shows the importance of the correlation in the phase of displacements between adjacent icosahedra. The even and odd vibrations have distinct frequencies in the crystal case. In a random network, the difference in the phase between intermolecular bonds is averaged, so that the highest frequency band becomes both IR and Raman active.

UR - http://www.scopus.com/inward/record.url?scp=0030563448&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030563448&partnerID=8YFLogxK

U2 - 10.1016/0022-3093(95)00651-6

DO - 10.1016/0022-3093(95)00651-6

M3 - Article

AN - SCOPUS:0030563448

VL - 198-200

SP - 36

EP - 39

JO - Journal of Non-Crystalline Solids

JF - Journal of Non-Crystalline Solids

SN - 0022-3093

IS - PART 1

ER -