Comparison of distance distributions obtained with model free fits, based on Tikhonov regularization, for [Gd(DOTA)] (black, (a, c)) and [Gd(DTPA)]− (red, (b, d)) with the corresponding distance distributions obtained with a two Gaussian model fit (green). Data are shown for 109 Gd(III) – 68 K1 (a, b) and for 109 Gd(III) – 131 K1 (c, d). Further Gaussian model fit details can be found in the electronic supplementary information.