Abstract
The properties of 170
Er,
172Yb,
174Hf, and
176Wisotones have been studied and their energy states calculated. To identify the properties of each isotone, the values of the first excited states,
E
2
1
+
and the ratio of the second excited states to the first excited states,
R
4
/
2
=
E
4
1
+
/
E
2
1
+
for all nuclei under consideration were adopted. To determine the properties of each nucleus, the relationship between the moment of inertia 2𝜗/ℏ
2 and the square of the angular frequency, ℏ
2
𝜔
2, the relationship between successive excited states to those preceding them
r
(
I
+
2
)
I
)
and the ΔI = 1 staggering between the GSB and the NPB states were studied for all states of
170Er,
172Yb,
174Hf, and
176W isotones. After identifying the properties of each isotone, the rotational limit in the interacting boson model IBM-1 and the IVBM model was used to calculate the energy states for each isotone and the results were compared with the experimental values. and good agreement was observed with some exception. The inaccuracy of some calculations in the IBM-1 results from the lying of some high states out the range of the rotational properties that were used.
Microscopic Description of 170
Er, 172
Yb, 174
Hf, and 176
W Isotones