Abstract. An algebraic collective model (ACM) is applied to describe single and multiphonon excitations in ¹⁰⁶Mo and ¹⁶⁴Dy. These two nuclei have been chosen because they present different degrees of anharmonicity of double-γ vibrations. In ¹⁰⁶Mo a state at 1435 keV has been identified as a best candidate for a harmonic double-γ K^π=4⁺ state while in ¹⁶⁴Dy a strongly anharmonic double-γ K^π=4⁺ state has been observed. The purpose of the present study is to see how the ACM model is capable of describing diverse degrees of anharmonicity of those double-γ excitations and what are the successes and weak points of such a description.

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