On the True and Apparent Densities of Nanoparticles

V. Ya. Shevchenko*, M. I. Samoilovich**, and A. E. Madison*

* Grebenshchikov Institute of Silicate Chemistry, Russian Academy of Sciences,
ul. Odoevskogo 24/2, St. Petersburg, 199155 Russia

** OAO Central Research Technological Institute “Tekhnomash,” ul. Ivana Franko 4, Moscow, 121108 Russia

Received December 6, 2004

Abstract—The classical concept of density is not very applicable to particles a few nanometers in size. It is
shown that, when dealing with the continuous model representations, which are based on the operation of aver-
aging over a volume element and are applied to nanoparticles, or when evaluating the specific physical quanti-
ties for nanoparticles, it is necessary to use singular functions.

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