Universal binding-energy relation, UBER

A relationship between the bonding in diatomic molecules and in solids has been demonstrated. It follows from the so-called Universal Binding Energy Relation (UBER), applicable to both metals and covalent diatomic molecules. The energy and the interatomic separation are scaled in the following way ... 

One of the cleanest routes to determining embedding functions is by invoking the universal binding energy relation (UBER) (Rose et al. 1984). On the basis of a vast collection of experience with first-principles calculations of a range of materials, it was found that the total energy as a function of lattice parameter may be fitted to... 

Fig. 11.1 A comparison of behaviors of the mean normal-stress (negative-pressure) response to dilatation predicted, from top to bottom, by the universal binding-energy relation (UBER), and from the responses of the 1.815-nm-sized cubical simulation cell, the 2.615-nm-sized cubical cell, and the 3.396-nm-sized cubical cell (from Mott et al. (1993a) courtesy of Taylor Francis).

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