## 3 Results and Discussion
### Statistical Analysis  
To study the features of radon emanation in rocks, a correlation analysis of the main radiation and physical parameters of the samples was performed (Table 4). The following parameter was also added to the correlation matrix: A\({}_{\text{Rn222}}\), the volumetric activity of radon in the container, Bq\(\cdot\)m\({}^{-3}\). The values of this parameter were obtained as a result of experimental work on the accumulation of radon in a sealed container with test samples. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline  & \(\mathbf{A_{Ra226}}\) & \(\mathbf{K_{emanation}}\) & \(\mathbf{A_{Rn222}}\) & \(\mathbf{AV_{dens}}\) & \(\mathbf{TR_{dens}}\) & **Porosity** \\ \hline A\({}_{\text{Ra226}}\) & \(1\) & & & & & \\ K\({}_{\text{emanation}}\) & \(-0.277\) & \(1\) & & & & \\ A\({}_{\text{Rn222}}\) & \(0.350\) & \(0.709\) & \(1\) & & & \\ AV\({}_{\text{dens}}\) & \(0.054\) & \(-0.666\) & \(-0.531\) & \(1\) & & \\ TR\({}_{\text{dens}}\) & \(0.092\) & \(0.294\) & \(0.335\) & \(0.155\) & \(1\) & \\ Porosity & \(0.043\) & \(0.753\) & \(0.691\) & \(-0.648\) & \(0.646\) & \(1\) \\ \hline \hline \end{tabular} Number of samples = 30. Correlation is significant at the 0.01 level.  
\end{table} 
Table 4: Correlation matrix from the studied parameters of the radon emanation. A significant correlation is observed in rocks for Kemanation-A\({}_{\text{Rn}222}\) (r = 0.709), K\({}_{\text{emanation}}\)-AV\({}_{\text{dens}}\) (r = \(-\)0.666), K\({}_{\text{emanation}}\)-Porosity (r = 0.753), A\({}_{\text{Rn}222}\)-AV\({}_{\text{dens}}\) (r = \(-\)0.531), A\({}_{\text{Rn}222}\)-Porosity (r = 0.691), AV\({}_{\text{dens}}\)-Porosity (r = \(-\)0.648) and TR\({}_{\text{dens}}\)-Porosity (r = 0.646). \({}^{226}\)Ra activity in rock samples has no significant correlations with any of the parameters suggesting that it is not the main parameter influencing the formation of a radon field. The lack of relationships between the content of \({}^{226}\)Ra and the volumetric activity of radon is probably due to the form of \({}^{226}\)Ra in the minerals that make up the rocks [30; 53]. Radon formed in a solid can enter the surrounding space due to both radioactive recoil and diffusion. In the case of radioactive decay, radon atoms acquire a certain recoil energy, which they subsequently lose when moving. Some of the atoms remain in the solid phase making up so-called \"bound radon\". However, the recoil energy of about 86 keV is enough to release atoms outside the crystal lattice, while forming free radon [24]. Taking the above into account, to characterize the territory of Arkhangelsk diamondiferous province according to the distribution of radon, it is advisable to use a complex of two parameters--the activity of \({}^{226}\)Ra in soils and rocks and their emanation coefficient. As can be seen from the correlation data, the main factors in the formation of the radon field are the emanation coefficient (r = 0.709) and the porosity of the rock (r = 0.691). At the same time, an increase in porosity leads to an increase in the emanation coefficient (r = 0.753). There is a negative relationship between the average density and the volumetric activity of radon in a free state (r = \(-\)0.531). This is due to the fact that the method for calculating the average density takes into account the presence of pores in the rock. At the same time, the true density is characterized by a weak effect on the emanation coefficient and the volumetric activity of radon. Additional information for the interpretation of the obtained statistical data on rock samples is provided by the results of factor analysis (Table 5). On the diagram of factor loads (Figure 6), three groups of factors are distinguished, which determine the nature of the emanation of radon from rocks. The total variance for the three factors is 91.91%. The first factor, with a dispersion of 52.81%, includes the radon emanation coefficient, the volumetric activity of radon in the counting sample and the porosity of the sample.