Crystallographic relationship of orthorhombic φ-Al5Mg11Zn4 phase to icosahedral quasicrystalline phase

Structural and Electrical Characteristics of Ba(Fe<sub>0.5</sub>Nb<sub>0.5</sub>)O<sub>3</sub>-SrTiO<sub>3</sub> Ceramic System

“…At high frequencies, however, some of the above-mentioned polarizations may have less contribution in '. This behavior is also found in other compounds studied by us[17][18][19][20][21][22].…”

On the adaptability of 1/1 cubic approximant structure in the Mg–Al–Zn system with the particular example of Mg 32 Al 12 Zn 37

“…In other words, one can consider the Φ-phase to mainly occur along a parallel with the 1/1 line. This structure is adopted by several compounds which can be formulated Mg55-ε(Al1-xZnx)45+ε, x ranging from 0.44 to 0.89 [2][3][4]. The metastable phase Mg4AlZn11 known as η' phase [32] which is of little interest in the current context (far from the focused region) is not reported in the diagram.…”

“…Mg32Al12Zn37 was obtained from Mg:Al:Zn in proportions 45:15:40, a stoichiometry taking place on the 2/1 line just between lines associated with T-phase (type 1/1) and Φ-phase. Note the complexity in this region where some imprecision remain [2] and where stoichiometries could correspond to crystalline approximants 1/1 or 2/1, to quasicrystalline materials and even to crystalline Φ-phase (also in relation with icosahedral quasicrystals [4]). Therefore it is easy to understand that experimental conditions will play a decisive part in the formation of compounds.…”

“…The first, labeled Φ, has been approximated to a stoichiometric compound of formula Mg5Al2Zn2 or Mg6(Al1-xZnx)5 [2][3][4]. Its composition domain is quite narrow with a limited Mg-content (53 to 55 at.%) but spreads over a wide range of Al/Zn ratio (0.64 -1.7).…”

“…Cubic structure of type 2/1 was established for a few compositions but complete results are not always reported [15,16]. Other Mg-rich crystalline compounds displaying the orthorhombic symmetry are reported as Φ-phase, the stability of which was studied together with its relationship with icosahedral quasicrystals [2][3][4].…”