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Thus in the principal axes we have a21 = a2_1 =0 s m c e these collective coordinates contain only terms of the form £ {xn ± iyn)zn, and a2t2 = ai,-2 s m c e the difference between these two coordinates is proportional to £ xnyn. The five collective coordinates α2μ are conveniently represented by the three Euler angles φβ9 Se, \l/e which define the position of the principal (body-fixed) axes of the deformed nucleus with respect to space-fixed axes, and the parameters β, y which define the intrinsic shape of the nucleus.