Korean Membrane Journal

The Membrane Society of Korea (한국막학회)
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Free Volume in polymers. Note I。 : Theoretical background

  • Consolati, G. (Dipartimento di Chimica industriale ed Ingeneria Chimica Politecnico di Milano) ;
  • Pegoraro, M. (Dipartimento di Chimica industriale ed Ingeneria Chimica Politecnico di Milano) ;
  • Zanderighi, L. (Dipartimento di Chimica Fisica ed Elettrochimica University degli Studi di Milano)
  • Published : 1999.12.01
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Abstract

free volume in polymers is defined as the difference of the specific volume and the volume which is not available for the particular molecular motion which is responsible or the process that is considered . Relations between free volume and viscosity free volume and diffusion coefficient are pre-sented both in the case of simple low molecular weight liquids and in the case of polymers. Molecular models and free volume models are reminded starting from the equilibrium state equation of Simha and Somcynski. The non equilibrium situations of specific volume of glass polymers below Tg are shown introducing different relaxation volume equations which involve different material's parameters and con-cept of the fictitious temperature. The diffusivity equations of Vrentas and Duda are introduced both for the glassy and rubbery states. The possibility of introducing time relaxation functions is also suggested. The importance of finding experimental evidences of the free volume is stressed. highlights of the free volume measurement methods are given in particular as to dilatometry photocromy fluorescence electron spin resonance small angle X-ray scattering positron annihilation spectroscopy.

Keywords

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