The aim of this proposal is the investigation of the possible onset of a non-degenerate ground state of the spin-ice system Dy2Ti2O7. Theoretically, it is expected that dipolar interactions should lift the characteristic Pauling’s degeneracy of the spin-ice systems. Previous work on the low temperature heat capacity of Dy2Ti2O7 revealed that there might be an onset of ordering when the freezing of the sample is suppressed [D. Pomaranski et al., Nature Physics 9, 353–356 (2013)]. In May 2015, we performed a neutron scattering experiment at E2 at HZB with a very slow cooling rate. No indication of any long-range ordering was found. However, the data suggest that with the used cooling protocol the spin system of the sample was frozen around 0.3 - 0.5 K. We wish to repeat this experiment with an optimized cooling protocol and increased total cooling time. This will help to avoid the freezing processes and clarify if there is a non-degenerate ground state in the spin-ice system or not.