IN this paper, alongside Heisenberg's principle of uncertainty, the De-Broglie wavelength hypothesis was used to conclude at a new understanding of the quantum impedance shown by the proton when interacting with the material. It also extracted the quantum impedance, speed, and frequency of electron (a beta particle with energy below 1MeV). This assumed that the electrons and protons have the same wavelength when interacting with the material at a high- voltage vacuum power supply. These formulas can be considered as one of the important applications in nanotechnology that can be used in the field of radiotherapy. The findings obtained concerning beta particle velocity showed that they are compatible with their established formulations, but with a new method. Furthermore, the Beta particle frequency formula may be viewed as a new version. The use of uncertainty in determining the location and momentum of the proton and the beta particle has also been found to have a significant impact in achieving their quantum impedances. Besides that, the quantum impedance of beta particle was obtained according to the principle of conductivity. The results showed the relevance of equation 8 when evaluating the impedance of the proton. It is attributed to the inclusion of the Mp / Me ratio, in addition to the similarity of the remaining variables with the content of the beta particle's quantum impedance formula. The Die-Broglie wavelength was determined, as opposed to the usual. Results showed that a linear relationship between the velocity of the beta ray and its frequency with the power supply.