Abstract
The vibrational density of states and phonon specific heat of Sinanocrystals are studied by means of a lattice dynamicalcalculation. The vibrational density of states of Si nanocrystalsis distinct from the bulk one at low and high frequencies owing tothe finite-size effect. At low frequencies there is an excess ofthe vibrational modes, while there is a deficit at high frequencies.At low frequencies the dependence of the vibrational density ofstates on frequency is intermediate between linear and quadratic.The specific heat of Si nanocrystals is enhanced as compared to thatof the bulk with a maximal excess at around 90 K. The dependence ofthe specific heat on temperature deviates from the known T3-lawfor crystalline systems at low temperatures.
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