Universal Binding Energy Relations in Metallic Adhesion

doi:10.1016/S0167-8922(08)70869-1

Tribology Series

Volume 7, 1981, Pages 19-30

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Abstract

Rose, Ferrante, and Smith (ref. 7) have discovered scaling relations which map the adhesive binding energy of Ferrante and Smith (ref. 6) onto a single universal binding energy curve. The energies in ref. 6 are calculated for all combinations of Al(111), Zn(0001), Mg(0001), and Na(110) in contact. The scaling involves normalizing the energy to the maximum binding energy and normalizing distances by a suitable combination of Thomas-Fermi screening lengths. A simple mathematical expression is found to accurately represent the universal curve, E^* (a^*) = – (1 + βa^*) exp (−βa^*) where E^* is the normalized binding energy, a^* is the normalized separation, and β is the fitting parameter. Rose et al. (ref. 7) have also found that the calculated cohesive energies of K, Ba, Cu, Mo, and Sm scale by similar simple relations suggesting the universal relation may be more general than for the simple free electron metals for which it was derived. In this paper we outline these results and discuss them in relation to topics of interest in adhesion, friction, and wear.

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Universal Binding Energy Relations in Metallic Adhesion

Abstract

J. Colloid Interface Sci.

Phys. Z.

Friction and Wear of Materials

Phys. Rev.

Phys. Rev., B

Phys. Rev., B

Phys. Rev. B

Bull. Am. Phys. Soc.

Phys. Rev. Lett.

Surf. Sci.