The AuCd is one of the typical alloys which show martensitic transformation. There are two distinct martensites called γ
2' and ζ
2' phases appearing proximate to the composition of Au
52.5Cd
47.5 and Au
50Cd
50, respectively. The crystal structure of ζ
2' martensite was solved and it was described to be a superposition of transverse waves whose poralization is ‹110› and wave vector is ‹110›. The phonon dispersion relations were observed for Au
52.5Cd
47.5 and Au
50.5Cd
49.5 overcoming the difficulty of strong absorption of neutron with an isotope
114Cd. The phonon softening behaviors were observed in addition to the peculiar behavior on Au
52.5Cd
47.5.
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