We also need to take into account configurational entropy when creating population based ensembles as they can have quite significant effects on the overall energy. We assume vibrational entropy, to be reasonably consistent between structures. We discuss how we account for configurational entropy in section S4.3 and show its effects in the 10 lowest energy structures in figure . We observe that for Pt 13 , Pt 13 H 4 , and Pt 13 +H 2 there is significant (over 0.01) population presence of non-GM structures. For Pt 13 H 2 and Pt 13 + 2 H 2 the opposite is true with the GM being clearly defined. Configurational entropic contributions only have a significant effect on the Pt 13 ensemble. These contributions result in a change in GM and comparatively less population presence of the second and third lowest energy structures.