2011
DOI: 10.1021/nl1045395
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Thermal Conductivity of Nanocrystalline Silicon: Importance of Grain Size and Frequency-Dependent Mean Free Paths

Abstract: The thermal conductivity reduction due to grain boundary scattering is widely interpreted using a scattering length assumed equal to the grain size and independent of the phonon frequency (gray). To assess these assumptions and decouple the contributions of porosity and grain size, five samples of undoped nanocrystalline silicon have been measured with average grain sizes ranging from 550 to 64 nm and porosities from 17% to less than 1%, at temperatures from 310 to 16 K. The samples were prepared using current… Show more

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Cited by 410 publications
(410 citation statements)
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“…However, the experimentally observed 20% reduction in thermal conductivity is interesting to compare with the reduction obtained in other silicon-based nanostructures. On one hand, a stronger reduction was measured in silicon with pores (>50%) [9,18,19], nanodots (>70%) [13,68], polycrystalline grains (>80%) [15,69,70], dopants (>50%) [71,72] or germanium atoms (>70%) [14,71,73]. On the other hand, the 20% reduction by the pillars [63] is comparable to the reduction by holes (20–25%) [21,74] or slits (20–30%) [75] covering the same relative area.…”
Section: Experimental Measurements Of the Thermal Propertiesmentioning
confidence: 99%
“…However, the experimentally observed 20% reduction in thermal conductivity is interesting to compare with the reduction obtained in other silicon-based nanostructures. On one hand, a stronger reduction was measured in silicon with pores (>50%) [9,18,19], nanodots (>70%) [13,68], polycrystalline grains (>80%) [15,69,70], dopants (>50%) [71,72] or germanium atoms (>70%) [14,71,73]. On the other hand, the 20% reduction by the pillars [63] is comparable to the reduction by holes (20–25%) [21,74] or slits (20–30%) [75] covering the same relative area.…”
Section: Experimental Measurements Of the Thermal Propertiesmentioning
confidence: 99%
“…24,25 We use spherical grains for computational efficiency, but the grain shape can be arbitrary. To calculate the mean free path of each phonon mode, we randomly sample three quantities.…”
mentioning
confidence: 99%
“…The theoretical lines were calculated using a Born-von Karman dispersion model including frequency-dependent expressions for grain-boundary scattering. 31) In this model, κ lat can be expressed as:…”
Section: Resultsmentioning
confidence: 99%