Interactions, three-body

Pestak M W, Goldstein R E, Chan M H W, de Bruyn J R, Balzarini D A and Ashcroft N W 1987 Three-body interactions, scaling variables, and singular diameters in the coexistence curves of fluids Phys. Rev. B36 599-614... 

The essential idea of the Alexander model, a global balance of interaction and stretching energies, can be applied to other situations involving tethered chains besides the good solvent case. In theta or poor solvents, the interaction term must be modified to account for poorer solvent quality. A simple limit is precisely at the theta point [29, 30] where binary interactions effectively vanish (% = 1/2 or v = 0). The leading term in Fim now accounts for three-body interactions ... 

We have considered the larger AI4-AI6 clusters using both ab initio calculations and the parameterized model (9). The results for AI4 and AI5, summarized in Table IV, show that the parameterized model and ab initio calculations agree well on the relative energetics if both the two- and three-body interactions are included. For Ale it is difficult to treat all the structures at the TZ2P-CPF level, but for the structures considered, there is reasonable agreement between the ab initio and model results. 

Axilrod-Tcller form, three-body interaction, 26... 

Ejtehadi MR, Avail SP, Plotkin SS. Three-body interactions improve the prediction of rate and mechanism in protein folding models. Proc Natl Acad Sci USA 2004 101 15088-93. 

Only the effects of the three-body interaction term Vabc are truly cooperative effects in a trimer, although properties may of course also change with cluster size in a strictly pairwise additive model, where Vabc = 0- The formalism may easily be extended to larger clusters and indeed three body effects tend to be more important in larger clusters than in trimers [68]. 

M. Quack, J. Stohner, and M. A. Suhm, Analytical three body interaction potentials and hydrogen bond dynamics of hydrogen fluoride aggregates (HF)n, n>3.J. Mol. Struct. 599, 381 425 (2001). 

E. M. Mas, R. Bukowski, and K. Szalewicz, Ab initio three body interactions for water. I. Potential and structure of water trimer. J. Chem. Phys. 118, 4386 4403 (2003). 

Square lattice gases with two- and three-body interactions a... 

Square lattice gases with two- and three-body interactions a model for the adsorption of hydrogen on Pd(I00) ... 

A simpler potential of the form of Eq. (10) has been used by Pearson et al. to model Si and SiC surfaces . The two-body term is of the familiar Lennard-Jones form while the three-body interaction is modeled by an Axilrod-Teller potential . The physical significance of this potential form is restricted to weakly bound systems, although it apparently can be extended to model covalent interactions. 

This additional to the two-body interaction energies term originates from three-body interactions and is called the three-body interaction energy. 

A well-known prototype of three-body interaction is the helium trimer [25-28]. The three-body interaction energy is discussed in detail in the above-mentioned works. It is interesting that the results, certainly due to the different approaches used, are not uniform. As demonstrated this by one example, the three-body term is found to be negative at the correlated level for a linear He-trimer (in ref.28.) while other authors (ref 27.) obtained a positive value for the same term. 

Accordingly to most of the results found in earlier works, the three-body interaction energy terms at the correlated level are small. 

Table VI. Charge transfer contributions to the three-body interaction energy at the MP3 and MP4 correlated levels for the studied He-clusters (in jiH, see Figure I. for notations, numbering of atoms are given from left to right))...

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