Two-point probability distribution function analysis of Co-polymer nano-composites

Empirical forms of the two-point probability functions for two-phase composites are investigated and alternate forms are introduced which can incorporate both periodicity and randomness. Microstructures of Co-polymer nano-composites have been analyzed and it was discovered that the material did not exhibit randomness and present empirical formulations may not be appropriate for its representation. A modified form of the probability function is introduced that can provide a tool to examine the degree of randomness and periodicity. The results show the potential of these functions in the evaluation of microstructures and acquiring higher order details not available previously. (C) 2004 Elsevier Ltd. All rights reserved.