Universality and its limits of Hume-Rothery electron concentration rules in metallurgy

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The gamma-brass containing 52 atoms per unit cell has been known as being typical of structurally complex alloy phases and stabilized at electrons per atom ratio e/a=21/13. This has been referred to as the Hume-Rothery electron concentration rule since the late 1920s. The principal investigator has developed the FLAPW-Fourier method to resolve quantitatively this empirical rule in the framework of the first-principles band calculations. The present research could prove that a series of gamma-brasses are stabilized by forming a pseudogap across the Fermi level as a result of the interaction of the Fermi surface with the Brillouin zone associated with the square of the reciprocal lattice vectors equal to 18.