Neutron scattering from magnetic polymers

Michael Thorpe

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Some of the static and dynamic properties of a simple magnetic polymer are calculated. The localized magnetic moments on each monomer interact via a nearest-neighbor Heisenberg exchange. While k→-independent quantities, like the free energy and the spin-wave density of states are independent of polymer conformation, k→-dependent quantities like the wave-vector-dependent susceptibility χ(k→) and the neutron scattering law S(k→,ω) can yield useful information about the polymer conformation statistics. Explicit expressions are derived for these quantities for a freely jointed polymer chain. It is shown that the inverse correlation length in a ferromagnetic polymer, which can be determined from χ(k→), goes as T12. The neutron scattering law S(k→,ω) measures essentially the spin-wave density of states at low temperatures although there is some weak k→ dependence.

Original languageEnglish (US)
Pages (from-to)2186-2193
Number of pages8
JournalPhysical Review B
Volume13
Issue number5
DOIs
StatePublished - 1976
Externally publishedYes

Fingerprint

Neutron scattering
Polymers
neutron scattering
polymers
Spin density waves
magnons
Conformations
Magnetic moments
dynamic characteristics
Free energy
monomers
magnetic moments
Monomers
free energy
Statistics
statistics
magnetic permeability
Temperature

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Neutron scattering from magnetic polymers. / Thorpe, Michael.

In: Physical Review B, Vol. 13, No. 5, 1976, p. 2186-2193.

Research output: Contribution to journalArticle

Thorpe, Michael. / Neutron scattering from magnetic polymers. In: Physical Review B. 1976 ; Vol. 13, No. 5. pp. 2186-2193.
@article{28ffce00be7a488ba0ad43b0e915b383,
title = "Neutron scattering from magnetic polymers",
abstract = "Some of the static and dynamic properties of a simple magnetic polymer are calculated. The localized magnetic moments on each monomer interact via a nearest-neighbor Heisenberg exchange. While k→-independent quantities, like the free energy and the spin-wave density of states are independent of polymer conformation, k→-dependent quantities like the wave-vector-dependent susceptibility χ(k→) and the neutron scattering law S(k→,ω) can yield useful information about the polymer conformation statistics. Explicit expressions are derived for these quantities for a freely jointed polymer chain. It is shown that the inverse correlation length in a ferromagnetic polymer, which can be determined from χ(k→), goes as T12. The neutron scattering law S(k→,ω) measures essentially the spin-wave density of states at low temperatures although there is some weak k→ dependence.",
author = "Michael Thorpe",
year = "1976",
doi = "10.1103/PhysRevB.13.2186",
language = "English (US)",
volume = "13",
pages = "2186--2193",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "5",

}

TY - JOUR

T1 - Neutron scattering from magnetic polymers

AU - Thorpe, Michael

PY - 1976

Y1 - 1976

N2 - Some of the static and dynamic properties of a simple magnetic polymer are calculated. The localized magnetic moments on each monomer interact via a nearest-neighbor Heisenberg exchange. While k→-independent quantities, like the free energy and the spin-wave density of states are independent of polymer conformation, k→-dependent quantities like the wave-vector-dependent susceptibility χ(k→) and the neutron scattering law S(k→,ω) can yield useful information about the polymer conformation statistics. Explicit expressions are derived for these quantities for a freely jointed polymer chain. It is shown that the inverse correlation length in a ferromagnetic polymer, which can be determined from χ(k→), goes as T12. The neutron scattering law S(k→,ω) measures essentially the spin-wave density of states at low temperatures although there is some weak k→ dependence.

AB - Some of the static and dynamic properties of a simple magnetic polymer are calculated. The localized magnetic moments on each monomer interact via a nearest-neighbor Heisenberg exchange. While k→-independent quantities, like the free energy and the spin-wave density of states are independent of polymer conformation, k→-dependent quantities like the wave-vector-dependent susceptibility χ(k→) and the neutron scattering law S(k→,ω) can yield useful information about the polymer conformation statistics. Explicit expressions are derived for these quantities for a freely jointed polymer chain. It is shown that the inverse correlation length in a ferromagnetic polymer, which can be determined from χ(k→), goes as T12. The neutron scattering law S(k→,ω) measures essentially the spin-wave density of states at low temperatures although there is some weak k→ dependence.

UR - http://www.scopus.com/inward/record.url?scp=35949029941&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35949029941&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.13.2186

DO - 10.1103/PhysRevB.13.2186

M3 - Article

AN - SCOPUS:35949029941

VL - 13

SP - 2186

EP - 2193

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 5

ER -