Neutron scattering from fractals

Jørgen Kjems; T. Freltoft; D. Richter; S. K. Sinha

doi:10.1016/S0378-4363(86)80075-4

Neutron scattering from fractals

Jørgen Kjems, T. Freltoft, D. Richter, S. K. Sinha

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

Abstract

The scattering formalism for fractal structures is presented. Volume fractals are exemplified by silica particle clusters formed either from colloidal suspensions or by flame hydrolysis. The determination of the fractional dimensionality through scattering experiments is reviewed, and recent small-angle neutron scattering studies of the variation with aggregation rate are presented. These results allow a very detailed comparison to be made with the theoretical scattering curves. Preliminary incoherent inelastic data on the low-frequency dynamics of hydroxylated silica particle aggregates show a clear deviation from a Debye spectrum and give the first experimental estimates for the spectral dimensionality.

Original language	English
Journal	Physica B & C
Volume	136
Issue number	1-3
Pages (from-to)	285-290
ISSN	0378-4363
DOIs	https://doi.org/10.1016/S0378-4363(86)80075-4
Publication status	Published - 1986

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title = "Neutron scattering from fractals",

abstract = "The scattering formalism for fractal structures is presented. Volume fractals are exemplified by silica particle clusters formed either from colloidal suspensions or by flame hydrolysis. The determination of the fractional dimensionality through scattering experiments is reviewed, and recent small-angle neutron scattering studies of the variation with aggregation rate are presented. These results allow a very detailed comparison to be made with the theoretical scattering curves. Preliminary incoherent inelastic data on the low-frequency dynamics of hydroxylated silica particle aggregates show a clear deviation from a Debye spectrum and give the first experimental estimates for the spectral dimensionality.",

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T1 - Neutron scattering from fractals

AU - Kjems, Jørgen

AU - Freltoft, T.

AU - Richter, D.

AU - Sinha, S. K.

PY - 1986

Y1 - 1986

N2 - The scattering formalism for fractal structures is presented. Volume fractals are exemplified by silica particle clusters formed either from colloidal suspensions or by flame hydrolysis. The determination of the fractional dimensionality through scattering experiments is reviewed, and recent small-angle neutron scattering studies of the variation with aggregation rate are presented. These results allow a very detailed comparison to be made with the theoretical scattering curves. Preliminary incoherent inelastic data on the low-frequency dynamics of hydroxylated silica particle aggregates show a clear deviation from a Debye spectrum and give the first experimental estimates for the spectral dimensionality.

AB - The scattering formalism for fractal structures is presented. Volume fractals are exemplified by silica particle clusters formed either from colloidal suspensions or by flame hydrolysis. The determination of the fractional dimensionality through scattering experiments is reviewed, and recent small-angle neutron scattering studies of the variation with aggregation rate are presented. These results allow a very detailed comparison to be made with the theoretical scattering curves. Preliminary incoherent inelastic data on the low-frequency dynamics of hydroxylated silica particle aggregates show a clear deviation from a Debye spectrum and give the first experimental estimates for the spectral dimensionality.

U2 - 10.1016/S0378-4363(86)80075-4

DO - 10.1016/S0378-4363(86)80075-4

M3 - Journal article

SN - 0378-4363

VL - 136

SP - 285

EP - 290

JO - Physica B & C

JF - Physica B & C

IS - 1-3

ER -

Neutron scattering from fractals

Abstract

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