2001
DOI: 10.1107/s0909049500016666
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Temperature dependence of thermal expansion coefficient of silver nanoparticles and of bulk material determined by EXAFS

Abstract: The thermal expansion behaviour of silver fcc has been described by an anharmonic Einstein model using EXAFS data in the temperature range between 10 and 300 K. The linear expansion coefficient of a bulk silver foil agrees well with X-ray diffraction data. In the case of silver particles embedded in a silicate glass matrix, this parameter shows an increase for particles of 3.2 nm in size by 70% whereas samples with an average size of particles of 5.1 nm show no changes compared with bulk fcc. The increase for … Show more

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Cited by 26 publications
(17 citation statements)
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“…Final grain sizes in similar films annealed at similar temperatures (without added bulge stresses) were about 1800 nm [31]. these values and assuming δ = 145 pm (b/2 [26], where b is the magnitude of the Burgers vector [32]), we find the strain due to shrinking of the grains to be -1.53 × 10 -3 ( Table 1). Note that this shows that grain growth provides the largest strain in the problem (Δε th = -8.28 × 10 -4 (Eq.…”
Section: Stress Calculationsmentioning
confidence: 81%
“…Final grain sizes in similar films annealed at similar temperatures (without added bulge stresses) were about 1800 nm [31]. these values and assuming δ = 145 pm (b/2 [26], where b is the magnitude of the Burgers vector [32]), we find the strain due to shrinking of the grains to be -1.53 × 10 -3 ( Table 1). Note that this shows that grain growth provides the largest strain in the problem (Δε th = -8.28 × 10 -4 (Eq.…”
Section: Stress Calculationsmentioning
confidence: 81%
“…60 In addition, the $0.3% decrease in Ag layer thickness due to thermal contraction during cooling to 77 K, calculated using a thermal expansion coefficient of a Ag ¼ 15 Â 10 À6 K À1 (Ref. 53), results in a negligible correction of $ 0.3% for q 77 K in Fig. 5.…”
Section: Methodsmentioning
confidence: 99%
“…In contrast, the layer with T s ¼ 300 C indicates a twice-as-large tensile stress, which may be attributed to the differential thermal contraction during cooling to room temperature after deposition with a thermal expansion coefficient of a Ag ¼ 15 Â 10 À6 K À1 (Ref. 53) and a MgO ¼ 9-13 Â 10 À6 K À1 (Ref. 54).…”
Section: Methodsmentioning
confidence: 99%
“…The evaluation of the EXAFS data of small NPs typically provides a decreased coordination number, a dilatation or a contraction of the lattice structure and an increased Debye-Waller factor, together with an increased static disorder. 32 In addition, EXAFS does not require operation under vacuum, in contrast to XPS. It was used by the Parkin group to investigate the phase change in silver speciation, during the photo-assisted growth of Ag from AgNO 3 .…”
Section: X-ray-based Techniquesmentioning
confidence: 99%