Uncertainty budget for determinations of mean isomer shift from Mössbauer spectra

Jeppe Fock; Lara Katrina Bogart; Oliver Posth; Mikkel Fougt Hansen; Quentin A. Pankhurst; Cathrine Frandsen

doi:10.1007/s10751-016-1253-1

Uncertainty budget for determinations of mean isomer shift from Mössbauer spectra

Jeppe Fock, Lara Katrina Bogart, Oliver Posth, Mikkel Fougt Hansen, Quentin A. Pankhurst, Cathrine Frandsen

Department of Physics

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

Abstract

The magnetite/maghemite content within iron oxide nanoparticles can be determined using the mean isomer shift (δ¯¯). However, accurate characterisation of the composition is limited by the uncertainty associated with δ¯¯. We have identified four independent sources of uncertainty and developed a quantitative expression for the uncertainty budget. Sources of uncertainty are categorised as follows: that from the fitting of the Mössbauer spectrum (σ _fit), that of the calibration of the α-Fe reference spectrum (σ _cal), thermal corrections to the spectrum due to second order Doppler shift (SODS) (σ _Δδ) and other experimental errors (σ _err). Each contribution is discussed in detail using ⁵⁷Fe Mössbauer spectra obtained from an iron oxide nanoparticle system at temperatures between 16 K and 295 K on different spectrometers in two different laboratories.

Original language	English
Journal	Hyperfine Interactions
Volume	237
Issue number	1
Pages (from-to)	23
Number of pages	11
ISSN	0304-3843
DOIs	https://doi.org/10.1007/s10751-016-1253-1
Publication status	Published - 2016
Event	The International Conference on the Applications of the Mössbauer Effect - Hamburg, Germany Duration: 13 Sept 2015 → 18 Sept 2015

Conference

Conference	The International Conference on the Applications of the Mössbauer Effect
Country/Territory	Germany
City	Hamburg
Period	13/09/2015 → 18/09/2015

Bibliographical note

This article is part of the Topical Collection on Proceedings of the International Conference on the Applications of the Mössbauer Effect (ICAME 2015), Hamburg, Germany, 13–18 September 2015

Keywords

57Fe Mössbauer
Isomer shift
Second order Doppler shift
Uncertainty budget

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10.1007/s10751-016-1253-1

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title = "Uncertainty budget for determinations of mean isomer shift from M{\"o}ssbauer spectra",

abstract = "The magnetite/maghemite content within iron oxide nanoparticles can be determined using the mean isomer shift (δ¯¯). However, accurate characterisation of the composition is limited by the uncertainty associated with δ¯¯. We have identified four independent sources of uncertainty and developed a quantitative expression for the uncertainty budget. Sources of uncertainty are categorised as follows: that from the fitting of the M{\"o}ssbauer spectrum (σ fit), that of the calibration of the α-Fe reference spectrum (σ cal), thermal corrections to the spectrum due to second order Doppler shift (SODS) (σ Δδ ) and other experimental errors (σ err). Each contribution is discussed in detail using 57Fe M{\"o}ssbauer spectra obtained from an iron oxide nanoparticle system at temperatures between 16 K and 295 K on different spectrometers in two different laboratories.",

keywords = "57Fe M{\"o}ssbauer, Isomer shift, Second order Doppler shift, Uncertainty budget",

author = "Jeppe Fock and Bogart, {Lara Katrina} and Oliver Posth and Hansen, {Mikkel Fougt} and Pankhurst, {Quentin A.} and Cathrine Frandsen",

note = "This article is part of the Topical Collection on Proceedings of the International Conference on the Applications of the M{\"o}ssbauer Effect (ICAME 2015), Hamburg, Germany, 13–18 September 2015; The International Conference on the Applications of the M{\"o}ssbauer Effect , ICAME 2015 ; Conference date: 13-09-2015 Through 18-09-2015",

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AU - Fock, Jeppe

AU - Bogart, Lara Katrina

AU - Posth, Oliver

AU - Hansen, Mikkel Fougt

AU - Pankhurst, Quentin A.

AU - Frandsen, Cathrine

N1 - This article is part of the Topical Collection on Proceedings of the International Conference on the Applications of the Mössbauer Effect (ICAME 2015), Hamburg, Germany, 13–18 September 2015

PY - 2016

Y1 - 2016

N2 - The magnetite/maghemite content within iron oxide nanoparticles can be determined using the mean isomer shift (δ¯¯). However, accurate characterisation of the composition is limited by the uncertainty associated with δ¯¯. We have identified four independent sources of uncertainty and developed a quantitative expression for the uncertainty budget. Sources of uncertainty are categorised as follows: that from the fitting of the Mössbauer spectrum (σ fit), that of the calibration of the α-Fe reference spectrum (σ cal), thermal corrections to the spectrum due to second order Doppler shift (SODS) (σ Δδ ) and other experimental errors (σ err). Each contribution is discussed in detail using 57Fe Mössbauer spectra obtained from an iron oxide nanoparticle system at temperatures between 16 K and 295 K on different spectrometers in two different laboratories.

AB - The magnetite/maghemite content within iron oxide nanoparticles can be determined using the mean isomer shift (δ¯¯). However, accurate characterisation of the composition is limited by the uncertainty associated with δ¯¯. We have identified four independent sources of uncertainty and developed a quantitative expression for the uncertainty budget. Sources of uncertainty are categorised as follows: that from the fitting of the Mössbauer spectrum (σ fit), that of the calibration of the α-Fe reference spectrum (σ cal), thermal corrections to the spectrum due to second order Doppler shift (SODS) (σ Δδ ) and other experimental errors (σ err). Each contribution is discussed in detail using 57Fe Mössbauer spectra obtained from an iron oxide nanoparticle system at temperatures between 16 K and 295 K on different spectrometers in two different laboratories.

KW - 57Fe Mössbauer

KW - Isomer shift

KW - Second order Doppler shift

KW - Uncertainty budget

U2 - 10.1007/s10751-016-1253-1

DO - 10.1007/s10751-016-1253-1

M3 - Conference article

SN - 0304-3843

VL - 237

SP - 23

JO - Hyperfine Interactions

JF - Hyperfine Interactions

IS - 1

T2 - The International Conference on the Applications of the Mössbauer Effect

Y2 - 13 September 2015 through 18 September 2015

ER -

Uncertainty budget for determinations of mean isomer shift from Mössbauer spectra

Abstract

Conference

Bibliographical note

Keywords

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