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The noble elements constitute the simplest group of atoms. At lowtemperatures or high pressures they freeze into the face-centered cubic (fcc)crystal structure (except helium). We perform molecular dynamics using therecently proposed simplified ab initio atomic (SAAP) potential [Deiters andSadus, J. Chem. Phys. 150, 134504 (2019)] . This potential is parameterizedusing data from accurate ab initio quantum mechanical calculations by thecoupled-cluster approach on the CCSD(T) level. We compute the fcc freezinglines for Argon and find a great agreement with the experimental values. At lowpressures, this agreement is further enhanced by using many-body corrections.Hidden scale invariance of the potential energy function is validated bycomputing lines of constant excess entropy (configurational adiabats) and showsthat mean square displacement and the static structure factor are invariant.These lines (isomorphs) can be generated from simulations at a singlestate-point by having knowledge of the pair potential. The isomorph theory forthe solid-liquid transition is used to accurately predict the shape of thefreezing line in the pressure-temperature plane, the shape in thedensity-temperature plane, the entropy of melting and the Lindemann parametersalong the melting line. We finally predict that the body-centered cubic (bcc)crystal is stable at high pressures.

Solid-liquid coexistence of the noble elements. I. Theory illustrated by the case of argon