XXXI. X-ray analysis of copper-zinc, silver-zinc, and gold-zinc alloys

The Hume-Rothery Rules for Structurally Complex Alloy Phases

“…Positive and negative signs in energy represent the unoccupied and occupied states, respectively. 4 As can be seen from Table 3, there exist several energy eigen-values E 1 , E 2 ⋅ ⋅ ⋅ at the symmetry point N near the Fermi level. The stationary waves can originate from combinations of different modes in Table 3.…”

“…several intermediate phases including the bcc β-phase or CsCl-type B2-compound, the gamma-brass phase containing 52 atoms in the cubic unit cell and the hcp ε -phase are formed in the neighbourhood of e/a=3/2, 21/13 and 7/4, respectively. [3][4][5][6] Mott and Jones 7 attempted to provide the first theoretical interpretation on the basis of the free electron model in their well-known textbook published in 1936. The Brillouin zone specific to a given alloy phase is formed in the reciprocal space.…”

Synthesis of Pt–Zn and Au–Zn compounds by isopiestic method

“…The composition was calculated to be Au-75%Zn as Table 4 shows, and its powder XRD pattern was consistent with that reported for ␥ 2 -AuZn 3 (Fig. 8(a)) [18,19]. In Exp.…”

“…5, a metallic pink compound was obtained and its homogeneity was confirmed. The composition was Au-50%Zn, and an XRD pattern obtained from its surface showed a formation of ␤ -AuZn [6,19] (Fig. 8(b)).…”

Synthesis and characterization of nanocrystalline and amorphous (Al4Cu9)94.5Cr5.5 γ-brass alloy by rapid solidification and mechanical milling

“…Westgren and Phragmen [9] first characterized the ␥-brass structure as an electron phase having the electron to atom ratio of about 21:13, as per Hume-Rothery classification. The ␥ brasses are considered as alloys of Groups II, III or IV metals with Cu, Ag, Au, transition, rare-earth or actinide metals and it could be found in a range of composition from 2:11 to 1:1 in binary alloys [10,13].…”