In the following we investigate in detail the long-range dipole-dipole interaction leading to the equivalent of the Debye-Hückel term in the classical theory of electrolyte solutions. We expect that the minimum hydration shell radius R h as defined in Equ. 9 defines a minimum dipole moment µ 0 = q eff R h inside the droplet. q eff will be determined by the composition of the electrolyte and is expected to be unity for 1:1 electrolytes. In the dilute case, we expect that the average distance between anions and cations will be much larger than R h . Therefore, we estimate the average distance between anion and cation along the z-direction for a given dipole orientation leading to a positive dipole moment along the z-direction of µ z = q(z + -z -) = q∆z with z + -z -> 0. To simplify this discussion, we assume a 1:1 electrolyte. Anion and cation can take any position within the droplet so that ∆z ranges from 0 to 2 R d . However, the number of ways to realize a dipole with a certain strength depends strongly on ∆z. For example, there is just a single configuration with ∆z = 2R d while there are many ways to realize configurations with ∆z ≪ R d . A detailed analysis of the resulting probability distribution shows that the effective distance ∆z eff = 0.5R d yielding µ eff = 0.5 qR d = 0.5µ 0 R d /R h . E.g. we expect this equation to hold true for other electrolytes (e.g. 1:2, 2:1, 2:2) when replacing q by an effective charge q eff . For symmetry reasons this dipole must be located at the droplet center. Without an external field along the z-direction both orientations show the same likelihood leading to a vanishing net dipole moment inside the droplet. When an external field E z along the z-axis is applied, the probabilities P p and P a for an orientation parallel and antiparallel to the electric field, respectively are different and can be described by Boltzmann's equation. It follows that P p -P a = µ eff Ez kT . We explore next the dipole induced effect on an ion with charge q along the zaxis outside the droplet. The interaction energy U of the ion at a position |z| > R d outside the droplet with µ eff at the center of the droplet and oriented along the z-axis is given by U