8.10. Non-Bond Mie Potential

8.10.1. Functional Form

The non-bond Mie potential has the functional form:

\(E=C\epsilon \left[ {{\left( \frac{{{\sigma }_{ij}}}{{{R}_{ij}}} \right)}^{{{\gamma }_{rep}}}}-{{\left( \frac{{{\sigma }_{ij}}}{{{R}_{ij}}} \right)}^{{{\gamma }_{att}}}} \right]\)

The force-field parameters for this potential and units are given by:

Equation Symbol Parameter Definition Units
\(\epsilon\) Potential well depth for atom [i] energy/mol
\(\sigma\) Interatomic cut-off distance for atom [i] length
\({\gamma }_{rep}\) Exponent of repulsive term N/A
\({\gamma }_{att}\) Exponent of attractive term N/A

8.10.2. XML Schema

The XML schema for the non-bond Mie potential has the following representation (design mode representation using Liquid XML Studio):

../_images/NonBond-Mie.png

The relationship between the equation symbols and XML schema notations are given by:

Parameter Definition Equation Symbol Schema Notation
Atom type of atom [i] (implicit) AT1
Atom type of atom [j] (implicit) AT2
Potential well depth for atom [i] \(\epsilon\) epsilon
Interatomic cut-off distance for atom [i] \(\sigma\) sigma
Exponent of repulsive term \({\gamma }_{rep}\) m_rep
Exponent of attractive term \({\gamma }_{att}\) n_att

The general attributes (describing the entire data set) are given by:

General Attributes Cardinality Value/Definition
style Fixed Mie
formula Fixed C*epsilon*[(sigma/R)^m_rep-(sigma/R)^n_att]
a_ij-units Required Enumerations specified in schema
r_c-units Required Enumerations specified in schema

The specific attributes (attached to each set of parameters) are given by:

Specific Attributes Cardinality Value/Definition
comment Optional Comment attached to parameter set
version Optional Version number of parameter set
reference Optional Reference attached to parameter set

Note that an XML document will be rejected from being entered into the WebFF database if a required attribute is left unspecified.