[en] The NEMO detector series is designed to search for the neutrinoless double β decay, which would prove that the neutrino is a Majorana particle (i.e. identical to its own antiparticle) and has a nonzero mass. After an introduction to neutrino physics and a description of both the NEMO 3 and SuperNEMO detectors, this thesis is articulated in two independent parts. The first provides an investigation of the neutron background in order to optimize the shielding for the first SuperNEMO module. The outcome of the study recommends the addition of borated polyethylene to the NEMO 3 shielding (on both sides of the iron shielding) to obtain a negligible background, coming from neutrons in the energy window of the two-electron channel where the neutrinoless double β decay of selenium- 82 is expected, for the duration of five years for which data will be taken with this first module. In the second part, the neodymium foil located in the NEMO 3 detector is deeply analyzed to obtain an indication of the standard double β decay of neodymium-150 to the 0₁⁺ excited state of samarium-150. The measured half-life, with a significance of 3.7σ, is: T_1/2(¹⁵⁰Nd_0⁺→0⁺1) = [7.12 ± 1.28 (stat.) ± 0.91 (syst.)] x 10¹⁹ years. (author)