Analytical results of uranium concentration in rocks and soils collected in the area of Lolodorf of South Cameroon where a radiometric anomaly had been found by previous investigation are reported. The analysis has been carried out by γ-ray spectrometry using a detector. Radioactivity concentration of was determined by comparing peak count rates of samples with those of natural uranium standard sample. Radioactivity concentration of was calculated from the radioactivity concentration by assuming that the isotopic composition of is 0.7200 of natural abundance. Difference of γ-ray self-absorption between the samples and uranium standard was accurately corrected by using a mass attenuation coefficient of samples and standard measured by using an external γ-ray source. The radioactivity concentrations in rocks ranged from 0.92 0.02 to 228 14 and 20 5 to 4 868 307 , while radioactivity concentrations in soils ranged from 3 1 to 63 2 and 71± 19 to 1 346± 38 The γ-ray dose rates in air at 1 m above the ground surface due to the high uranium concentration in soil samples were ranged from 33± 9 to 622± 18. The highest uranium concentration of about 0.04 in rock was found in the analysis. These results show that the uranium content in the studied areas is significantly high and the studied areas have a potential for uranium mining.

A novel technique is presented to analytically solve the fractional diffusion equation for non-reactive air pollutants emitted from an elevated continuous source into the air. A generalized methodical solution combining first-order Wentzel–Kramers–Brillouin (WKB) approximation theory and the Sturm–Liouville problem is used to solve the air pollutants’ fractional dispersion equation. Drawing insight from previous analysis, we expanded the initial issue assuming the turbulent flow characteristics appearing in the diffusion process in a non-integer dimensional space. We solved the transformed problem and compared the solutions against data from real experiment. Physical consequences connecting to the conventional generalized diffusion equations are presented. The results indicate that the present solutions are in accordance with those obtained in literature. This report demonstrates that fractional equations can be applied in a practical prediction of pollutant dissemination in a turbulent atmosphere.

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