A modified phenomenological model is used to calculate nuclear energy levels and describe successfully the backbending of the moment of inertia for the ground state bands in even–even isotopes of Hf and Dy nuclei. The model is a combination of the Myers and Swiatecki model with variable moment inertia (VMI) model. Since the Myers and Swiatecki model has a deviation from experimental energies in which it takes into account pairing effect with constant moment of inertia, in the rotation of nuclei, the Coriolis force acts to de-pair the nucleons pair and align their angular momentum with nuclei total angular momentum, thus Coriolis force increasing and decrease the rotational energy. So, the moment of inertia varies with the angular momentum. Therefore, we modified this model by adding a term to make the moment of inertia vary with angular momentum in the same manner of the VMI model which has a term added to the rotational energy equation. The modified model fits remarkably with the experimental observation and other models in many cases with the use of few parameters especially in rotational nuclei regions similar to Hf and Dy nuclei.

The alpha-radioactive inert gas Radon exhalation is associated with presence of Radium and its ultimate precursor uranium in the earth crust. Uranium decay deposits radon in soil, which is harmful on human and environment. The exposure of population to high concentration of alpha radioactivity mainly of Radon for a long period leads to lung cancer. The radon activity concentrations, radium contents, radon exhalation rates in twenty one soil samples collected from Bartella region, were measured using the sealed-can technique based on the CR-39 SSNTDs. In the present paper the estimated values for radon activity concentration in air space are in the range 323.2-2424 Bq/m 3 with mean value of 1212.7 Bq/m 3 , the radon concentration in soil sample are 31.66-237.46 KBq/m 3 with mean value of 118.83 KBq/m 3 , the radium contents were found vary between 1.36-10.24 Bq/Kg with mean value 5.11 Bq/Kg, the radon mass exhalation rate vary between 10.34-77.56 mBq/Kg/hr with mean 38.81 mBq/Kg/hr, the radon surface exhalation rate are between 234.2-1756.4 mBq/m 2 /hr with mean value of 878.6 mBq/m 2 /hr. All values of the samples under the test are below of permissible values 370 Bq/Kg of radium content and 57600 mBq/m 2 /hr radon exhalation, recommended by Organization for Economic Cooperation and Development (OECD). Hence the area under investigation is safe as for as health hazards of radium and safe in radiological risks due to radon exposure from the soil.

Uranium is a common radioactive element in Earth’s crust (soil, rock), so it is important there quantity to be under control. The concentration of uranium in soil varies widely, Depending on the geological location, its concentration in the surface soil vary from 0.1 mg.Kg-1 (ppm) to 20 mg.Kg-1 (ppm) with a world average of 2.8 ppm and the allowed limit that equals 11.7 ppm. The uranium concentration, radon activity, radon concentration, in twenty soil samples collected from AL-Hamdaniya region (East of Mosul city) were measured using the sealed-can technique based on the CR-39 SSNTDs. The estimated values for the uranium activity which equal to radon activity at secular equilibrium were found vary between (581.11-1453.5) mBq with mean value 905.89 mBq, the uranium concentration are between (0.313-0.784) ppm with mean value of 0.488 ppm. All values of the samples under the test are below of allowed limit and world average value.

The track registration technique with a CR-39 detector was used to measure radon concentrations, and uranium contents in ground water samples from the Nineveh plain region wells. Samples were selected from 20 locations for measurements. This research aimed to assess radiological risks from uranium ingestion, and measure annual effective dose AED resulting from the intake of radon in the ingested water. Radon concentrations in these water samples were found to vary from 0.362 to 1.485 BqL−1, which were below the safety recommended limits 4 to 40 BqL−1 based on the Scientific Committee of United Nations on Atomic Radiation Effects. AED was found to vary from 1.32 to 5.42 µSv/y. Uranium activity concentrations ranged from 0.356 to 1.488 BqL−1, and the corresponding uranium concentrations in water samples were found to vary from 28.76 to 120 μgL−1. Uranium concentrations were over the safety recommended limits when, compared with recommended limits of of 30 μgL−1 for drinking water based on the US environmental protection agency. The excess cancer risk varied from 0.398 to 1.666 x10-4 with a mean value of 0.9 x10-4, indicating that 9/100,000 people in these areas haves a cancer risk from the water.

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