  Deviation from the I(I+1) rule in the even-even isotopes 62Sm, 64Gd, 66Dy,
68Er, 70Y b, 72Hf, 74W and 76Os nuclei have been studied with a new approach
based on the idea that the rotational nucleus being stretched out along the
symmetry axis, where such stretching is treated according to quantum mechanics.
This approach led to a new formula that describes the dependence of the moment
of inertia on the angular momentum, and such formula works well for all
even-even nuclei in the actinide and rare-earth region in the range 2.9<R<3.3.
The calculations were carried out with the stretched model where the stretching
of the nucleus with the rotation is quantized. The obtained results with a new
derived formula which gives a reasonable agreement with the experimental date
for all I up to 16.
