  The ordered alloys of alkali metals (Rb and Cs) and gold (Au) have the B2
(CsCl-type) structure and show a semiconducting property, irrespective to the
metallic constituents. Francium (Fr) is classed as an alkali metal and is
expected to form the B2 structure with Au. However, it is difficult to
synthesize such a compound experimentally due to a half-life of a few ten
minutes in the Fr atom. In this paper, by using the first-principles method, we
study the structural and electronic properties of FrAu in the B2 structure. The
FrAu has a relatively large lattice constant and a relatively small bulk
modulus among 310 B2 compounds. The profiles of the electron and phonon band
structures of the FrAu are quite similar to those of the CsAu. We predict that
the FrAu is included to one of the ionic compounds as well as the RbAu and
CsAu.
