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Hexagonal Frank--Kasper phases interpreted as modulated crystals.

M Uchida¹, Y Matsui

¹Advanced Materials Laboratory, National Institute for Materials Science, Tsukuba, Ibaraki, 305-0044, Japan. uchida.masaya@nims.go.jp

Acta Crystallographica. Section B, Structural Science

|July 27, 2001

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Hexagonal Frank-Kasper phases F and K are reinterpreted as modulated crystal structures. These structures consist of two close-packed layers with ordered atomic vacancies, rotated 90 degrees relative to each other.

Area of Science:

Solid-state chemistry
Crystallography
Materials science

Background:

The hexagonal Frank-Kasper phases (F and K) have been previously understood through cluster aggregation models.
A need exists for alternative structural interpretations to deepen understanding of these complex phases.

Purpose of the Study:

To re-interpret the hexagonal Frank-Kasper phases F and K.
To describe these phases as modulated crystal structures.

Main Methods:

Crystallographic analysis of Frank-Kasper phases F and K.
Structural interpretation based on atomic arrangements and layer stacking.

Main Results:

The hexagonal Frank-Kasper phases F and K are interpreted as modulated crystal structures.

Related Experiment Videos

These structures are fundamentally composed of two close-packed layers.

The layers contain ordered atomic vacancies and are rotated by 90 degrees about their normal.

Conclusions:

The modulated crystal structure model provides a new framework for understanding Frank-Kasper phases.
This interpretation clarifies the atomic arrangement and symmetry of these complex materials.