This paper by G. Gamow, submitted to Göttingen, aims to investigate the processes of α-emission from the atomic nucleus using wave mechanics and to theoretically derive the experimental relationship between the decay constant and the energy of the α-particle. The author discusses the role of non-Coulombic attractive forces in the nucleus, suggesting that these forces could be related to magnetic moments or polarization effects. These forces diminish with increasing distance from the nucleus, and only near the nucleus do they dominate over the Coulombic force. Experiments on α-ray scattering indicate that for heavy elements, these attractive forces are negligible up to a distance of about \(10^{-12}\) cm. The potential energy curve is shown in Figure 1, where Coulombic attraction is the dominant force up to a certain point, after which attractive forces begin to predominate. However, this stable configuration is not possible because the α-particle would need to overcome a potential barrier of height \(U_0\) to escape, but its experimental energy is much smaller. Rutherford proposed that α-particles are neutral in the nucleus due to the presence of two electrons, which are lost only after a certain distance from the nucleus. This assumption, however, seems unnatural and unlikely. From a wave mechanics perspective, the issue of the α-particle's escape is resolved. In wave mechanics, there is always a non-zero transition probability for a particle to move from one region of equal energy to another separated by a finite potential barrier. This probability is very small but increases with the barrier height. The paper will further explore this concept and its implications for α-emission.This paper by G. Gamow, submitted to Göttingen, aims to investigate the processes of α-emission from the atomic nucleus using wave mechanics and to theoretically derive the experimental relationship between the decay constant and the energy of the α-particle. The author discusses the role of non-Coulombic attractive forces in the nucleus, suggesting that these forces could be related to magnetic moments or polarization effects. These forces diminish with increasing distance from the nucleus, and only near the nucleus do they dominate over the Coulombic force. Experiments on α-ray scattering indicate that for heavy elements, these attractive forces are negligible up to a distance of about \(10^{-12}\) cm. The potential energy curve is shown in Figure 1, where Coulombic attraction is the dominant force up to a certain point, after which attractive forces begin to predominate. However, this stable configuration is not possible because the α-particle would need to overcome a potential barrier of height \(U_0\) to escape, but its experimental energy is much smaller. Rutherford proposed that α-particles are neutral in the nucleus due to the presence of two electrons, which are lost only after a certain distance from the nucleus. This assumption, however, seems unnatural and unlikely. From a wave mechanics perspective, the issue of the α-particle's escape is resolved. In wave mechanics, there is always a non-zero transition probability for a particle to move from one region of equal energy to another separated by a finite potential barrier. This probability is very small but increases with the barrier height. The paper will further explore this concept and its implications for α-emission.