inside the energy region of the photon emitted used in experiments?* To answer on such questions, it should be desirable to use the model which is the most accurate and corrected in description of this reaction.

This paper answers on these questions and it is organized so. In Sec. II the model of the bremsstrahlung accompanying the $\alpha$-decay is presented, where emphasis is made on the angular formalism in framework of the dipole and multipolar approaches of the matrix elements and calculation of the bremsstrahlung probability. In Sec. \[sec.3.3\] the model is tested on experimental data [@Maydanyuk.2008.EPJA; @Maydanyuk.2008.MPLA] for the $^{214}{\rm Po}$ and $^{226}{\rm Ra}$ nuclei. The spectrum for $^{244}{\rm Cm}$ is added to such a picture, compared with high limit of errors of experimental data [@Kasagi.1997.JPHGB; @Kasagi.1997.PRLTA]. In Sec. \[sec.3.4\] distribution of the bremsstrahlung probability on the numbers of protons and nucleons of the $\alpha$-decaying nucleus in selected region close to $^{210}{\rm Po}$ is presented. In Sec. \[sec.3.5\] the angular spectra for the $^{210}{\rm Po}$ nucleus by the multipolar model are presented. In Sec. \[sec.3.6\] the formula of the bremsstrahlung probability during the $\alpha$-decay, based only on the $Q_{\alpha}$-value and numbers of protons and neutrons of the decaying nucleus, 