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Normal mode approach for predicting the mechanical properties of solids from first principles: Application to compressibility and thermal expansion of zeolites
 

Summary: Normal mode approach for predicting the mechanical properties of solids from first principles:
Application to compressibility and thermal expansion of zeolites
R. Astala,* Scott M. Auerbach,
and P. A. Monson
Department of Chemistry and Department of Chemical Engineering, University of Massachusetts, Amherst, Massachusetts 01003, USA
Received 1 July 2004; revised manuscript received 1 October 2004; published 25 January 2005
We present a method for analyzing the mechanical properties of solids, based on normal modes and their
coupling to lattice strains. This method was used to study elastic compression and thermal expansion of
zeolites, with parameters calculated from density functional theory. We find in general that the bulk modulus
can be divided into two contributions: a positive term arising from compression without internal relaxation, and
a negative term from coupling between compression and internal vibrational modes. For silica polymorphs, the
former term varies little among the phases studied, reflecting the intrinsic rigidity of SiO4 tetrahedra. In
contrast, the latter term varies strongly from one polymorph to the next, because each polymorph exhibits
different symmetry constraints on internal vibrations and their couplings to lattice strains. Typically only a few
normal modes contribute to the bulk modulus. To facilitate parametrization of this normal mode model, we
constructed a simplified classical spring-tetrahedron model for silica. After fitting to properties of silica so-
dalite, this model reproduces cell volumes and predicts bulk moduli of -cristobalite and silica zeolites CHA,
LTA, and MFI. We incorporated anharmonic effects into the theory, allowing the calculation of the thermal
expansion coefficient. The resulting expression provides a generalization of classical Grüneisen theory, taking
into account additional anharmonicities. This method was used to study thermal expansion of fcc aluminum

  

Source: Auerbach, Scott M. - Department of Chemistry, University of Massachusetts at Amherst

 

Collections: Chemistry