Precise measurement of the survival probability of solar electron neutrino () as a function of its energy [] is one of the key issues in neutrino physics. Current data, due to their limited accuracy, still allow for nonstandard interactions (NSIs) to be alternatives to the standard one, which is based on the MSW-LMA prediction. In order to determine values at several values of with higher accuracy, we propose to use several target nuclei with different threshold energies for detection. We examined charged-current (CC) responses of various nuclei seeking the ones: (a) having large and concentrated Gamow-Teller (GT) transition strength in the low excitation-energy region, and (b) having appropriate and a variety of reaction values, i.e., to 17 MeV, in the () reaction. As a result, we found that systematic solar measurements with target nuclei , , , , , and can put strong constraints on the curve and thus on these NSI models. In addition, we notice that three of these nuclei, , , and , have large and concentrated neutral-current (NC) responses with detection threshold-energies of 3.56, 0.48, and 15.11 MeV, respectively. Note that the NC measurement is flavor independent. Thus, the measured results should represent the original strength of from the Sun.