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The NaCl‐ to CsCl‐type phase transition discussed on the basis of the cP to cI deformation with the symmetry Cmcm 4(c) m2m

The NaCl‐ to CsCl‐type phase transition discussed on the basis of the cP to cI deformation with... A structure forming a cubic primitive lattice cP may be deformed into a structure forming a cubic body‐centred lattice cI in the space group Cmcm at position 4(c) m2m 0,y,¼. If in related structures the sites are alternately occupied by unlike atoms, the NaCl and the CsCl types occur, respectively. The corresponding phase transition can be described as a deformation of a heterogeneous sphere packing in the subgroup Pmmn (a,−c,b) of Cmcm. All sphere configurations with symmetry Cmcm 4(c) m2m were derived. On the basis of this information, further possibilities for phase transitions that also correspond to sphere‐packing deformations were found with this symmetry. Two of them possibly may take place in metals. The first one leads from a primitive hexagonal lattice to a hexagonal close packing, the other from a cubic body‐centred lattice also to a hexagonal close packing. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Crystallographica Section A Foundations of Crystallography Wiley

The NaCl‐ to CsCl‐type phase transition discussed on the basis of the cP to cI deformation with the symmetry Cmcm 4(c) m2m

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References (34)

Publisher
Wiley
Copyright
Copyright © 2000 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0108-7673
eISSN
1600-5724
DOI
10.1107/S0108767300002609
Publisher site
See Article on Publisher Site

Abstract

A structure forming a cubic primitive lattice cP may be deformed into a structure forming a cubic body‐centred lattice cI in the space group Cmcm at position 4(c) m2m 0,y,¼. If in related structures the sites are alternately occupied by unlike atoms, the NaCl and the CsCl types occur, respectively. The corresponding phase transition can be described as a deformation of a heterogeneous sphere packing in the subgroup Pmmn (a,−c,b) of Cmcm. All sphere configurations with symmetry Cmcm 4(c) m2m were derived. On the basis of this information, further possibilities for phase transitions that also correspond to sphere‐packing deformations were found with this symmetry. Two of them possibly may take place in metals. The first one leads from a primitive hexagonal lattice to a hexagonal close packing, the other from a cubic body‐centred lattice also to a hexagonal close packing.

Journal

Acta Crystallographica Section A Foundations of CrystallographyWiley

Published: May 1, 2000

Keywords: ; ; ;

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