# Universal scaling of potential energy functions describing intermolecular interactions. I. Foundations and scalable forms of new generalized Mie, Lennard-Jones, Morse, and Buckingham exponential-6 potentials

## Abstract

Based on the formulation of the analytical expression of the potential V(r) describing intermolecular interactions in terms of the dimensionless variables r*=r/rm and !*=V/!, where rm is the separation at the minimum and ! the well depth, we propose more generalized scalable forms for the commonly used Lennard-Jones, Mie, Morse and Buckingham exponential-6 potential energy functions (PEFs). These new generalized forms have an additional parameter from and revert to the original ones for some choice of that parameter. In this respect, the original forms can be considered as special cases of the more general forms that are introduced. We also propose a scalable, but nonrevertible to the original one, 4-parameter extended Morse potential.

- Authors:

- Publication Date:

- Research Org.:
- Pacific Northwest National Lab. (PNNL), Richland, WA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1163817

- Report Number(s):
- PNNL-SA-78241

KC0301020

- DOE Contract Number:
- AC05-76RL01830

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Chemical Physics, 141(6):064117

- Country of Publication:
- United States

- Language:
- English

### Citation Formats

```
Xantheas, Sotiris S., and Werhahn, Jasper C..
```*Universal scaling of potential energy functions describing intermolecular interactions. I. Foundations and scalable forms of new generalized Mie, Lennard-Jones, Morse, and Buckingham exponential-6 potentials*. United States: N. p., 2014.
Web. doi:10.1063/1.4891819.

```
Xantheas, Sotiris S., & Werhahn, Jasper C..
```*Universal scaling of potential energy functions describing intermolecular interactions. I. Foundations and scalable forms of new generalized Mie, Lennard-Jones, Morse, and Buckingham exponential-6 potentials*. United States. doi:10.1063/1.4891819.

```
Xantheas, Sotiris S., and Werhahn, Jasper C.. Thu .
"Universal scaling of potential energy functions describing intermolecular interactions. I. Foundations and scalable forms of new generalized Mie, Lennard-Jones, Morse, and Buckingham exponential-6 potentials". United States.
doi:10.1063/1.4891819.
```

```
@article{osti_1163817,
```

title = {Universal scaling of potential energy functions describing intermolecular interactions. I. Foundations and scalable forms of new generalized Mie, Lennard-Jones, Morse, and Buckingham exponential-6 potentials},

author = {Xantheas, Sotiris S. and Werhahn, Jasper C.},

abstractNote = {Based on the formulation of the analytical expression of the potential V(r) describing intermolecular interactions in terms of the dimensionless variables r*=r/rm and !*=V/!, where rm is the separation at the minimum and ! the well depth, we propose more generalized scalable forms for the commonly used Lennard-Jones, Mie, Morse and Buckingham exponential-6 potential energy functions (PEFs). These new generalized forms have an additional parameter from and revert to the original ones for some choice of that parameter. In this respect, the original forms can be considered as special cases of the more general forms that are introduced. We also propose a scalable, but nonrevertible to the original one, 4-parameter extended Morse potential.},

doi = {10.1063/1.4891819},

journal = {Journal of Chemical Physics, 141(6):064117},

number = ,

volume = ,

place = {United States},

year = {Thu Aug 14 00:00:00 EDT 2014},

month = {Thu Aug 14 00:00:00 EDT 2014}

}