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Polymer Chemistry 2018

Polymer Sciences

ISSN: 2471-9935

Page 37

March 26-28, 2018

Vienna, Austria



Edition of International Conference and Exhibition on

Polymer Chemistry


ucleation is one of the basic processes involved in

phase transitions like crystallization, describing the first

occurrence of entities able to grow. For a better understanding

of this process, which usually starts at a nanoscopic scale, one

has to introduce novel thermodynamic properties in terms of

the only four basic geometrical characteristics in a two-phase

system. These are the four so-called Minkowski functionals,

which are: volume, interfacial area, mean curvature integral

over the interfacial area and the Euler-Poincaré characteristics.

The latter two quantities, although introduced already in the

early 19


century, have been mainly ignored so far in natural

and technical sciences. The simple assumption of linear

coefficients for the work differential in terms of the differential

change of the four Minkowski functionals leads (in addition

to pressure and interfacial energy) to two novel energetic

properties: edge force and item energy. They dominate the

behaviour at structural scales in the nm range. For example, the

classical Young-Laplace equation stating the proportionality

of the pressure jump across an interface and the mean

curvature of the interface (with twice the interfacial tension as

proportionality constant) has to be extended by a second term

proportional to the Gaussian curvature of the interface with

the edge force as proportionality constant. As a consequence,

one has in polymer melts already at temperatures above the

thermodynamic melting temperature stable clusters which,

however, are unable to grow. At quick cooling one finds a simple

relationship for the well-known temperature of homogenous

nucleation in terms of the edge force.

Recent Publications:

1. G Eder and H Janeschitz Kriegl (1997) Structure

development during processing: crystallization In Materials

Science and Technology. Wiley VCH. 18:269-342.

2. H Janeschitz Kriegl, G Eder, M Stadlbauer and E Ratajski

(2005) A thermodynamic frame for the kinetics of

polymer crystallization under processing conditions.

Chem. Monthly. 136(7):1119-1137.

3. P Hierzenberger, E Leiss Holzinger, B Heise, D Stifter and G

Eder (2014)


Optical coherence tomography for the

time-resolved investigation of crystallization processes in

polymers. Macromolecules. 47(6):2072-2079.

4. G Eder (2018) The role of Minkowski functionals in the

thermodynamics of two-phase systems. AIP Advances.

8(1). Doi:10.1063/1.5017592.


Gerhard Eder is a Professor at the Institute of Polymer Science, Johannes

Kepler University Linz, Austria. He got Diploma in Mathematics and Phys-

ics in 1982 and 1983 and finished his PhD in 1989 with a thesis on rheol-

ogy of polymer melts. In 1989/90 he was Research Scientist at the Philips

Natuurkundig Laboratorium in Eindhoven, Netherlands. Since 1997 he is an

Associate Professor at Johannes Kepler University. In 2002, he was Visiting

Professor in Yamagata University, Japan. He gave more than 20 invited lec-

tures at international conferences. In 2013 he received the Hermann Mark

Medal for his work on polymer characterization. His research interests are

focused on structure development of polymers under extreme conditions

as present in usual processing, a field which is situated between and strong-

ly interacting with the classical transport phenomena: heat transfer, flow dy-

namics and mass diffusion. During the last few years his interest widened

towards thermodynamics of phase transitions and kinetic modelling.

[email protected]

Novel thermodynamic concepts for nucleation processes

Gerhard Eder

Johannes Kepler University, Austria

Gerhard Eder, Polym Sci, Volume 4

DOI: 10.4172/2471-9935-C1-008