Accession Number : ADA264810


Title :   An Extension of a Kinetic Theory of Polymer Crystallization Through the Exclusion of Negative Barriers


Descriptive Note : Technical rept. no. 27, 1 Jun 92-31 Mar 93,


Corporate Author : RUTGERS - THE STATE UNIV PISCATAWAY NJ DEPT OF MECHANICS AND MATERIALS SCIENCE


Personal Author(s) : Scheinbeim, Jerry I ; Petrone, Louis ; Newman, Brian A


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a264810.pdf


Report Date : May 1993


Pagination or Media Count : 53


Abstract : The simplest version of the Lauritzen-Hoffman (LH) model of polymer crystallization, which applies to infinitely long model polymer molecules crystallizing on an existing substrate of infinite width, is reexamined. The mathematical expressions for the model free energy barriers are observed to take on negative values at high supercooling. Since such negative barriers appear to be physically unrealizable for the crystallization process, the LH model is extended by imposing a mathematical constraint on the expressions for the barriers, to forbid them from ever being negative. The extended model contains one parameter gamma which varies from 0 to 1 and is analogous to the parameter psi of the LH model. For all values of gamma less than 1, the extended model predicts a finite lamellar thickness at every supercooling; moreover, this thickness at large undercooling, decreases monotonically with increasing undercooling, in agreement with experiment but in marked contrast to the LH model which exhibits the well-known delta l catastrophe. The relative insensitivity of the calculated lamellar thicknesses to the parameter delta supports the use of gamma = 0 as a first approximation for mathematical convenience in practice.


Descriptors :   *POLYMERS , *CRYSTALLIZATION , *KINETIC THEORY , MATHEMATICAL MODELS , THICKNESS , COOLING , DIPOLES , TRANSITIONS , FLUORIDES , VINYL RADICALS , FREE ENERGY , EVAPORATION , MOLECULAR STRUCTURE , BARRIERS , ELECTRIC FIELDS , POLARIZATION , MOLECULES


Subject Categories : Physical Chemistry
      Polymer Chemistry
      Crystallography
      Electricity and Magnetism


Distribution Statement : APPROVED FOR PUBLIC RELEASE