The first step in the present development of new LHs starts from LH20t and replaces the t-LMF a t-LMF (r) by the n-LMF a n-LMF (r) described above, trained in the presence of the other unchanged parts of the LH (cf. eq. 2 above). The CF G pig2 σ (r) is omitted in this process, as it turned out early on that the n-LMF successfully suppresses the gauge problem (as found previously for an x-LMF ), and therefore no CF is required. We will analyze the reasons for this observation in detail in the Results section. Another small modification compared to LH20t is that we fix the coefficient of PBE exchange gradient corrections to full 1.0 rather than optimizing it to a smaller value as done in LH20t (see above). Then the LH24n-B95 functional can be described as