The energy spectra of hep and pep solar neutrinos produced by pp-chain and those produced from the CNO-cycle reactions are analyzed for various nuclear detectors in current terrestrial experiments. We intend to investigate the differential and total cross section of the coherent scattering of neutrinos off nuclear isotopes like ²⁸Si. In such experiments the relevant quantity to measure is the kinetic energy distribution of the recoiling nucleus. This type of experiment has been proposed in order to observe the coherent elastic neutrino-nuclear scattering. We focus on the differential cross section dσ/dT as a function of the kinetic energy T of the promising nuclear isotope ²⁸Si.