# Difference between revisions of "United-atom model"

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− | In the '''united-atom model''' the <math>CH_2</math> and <math> | + | In the '''united-atom model''' the <math>CH_2</math>, <math>CH_3</math> and <math>CH_4</math> units |

are treated as one unified interaction site (hence ''united-atom''), i.e. the hydrogen atoms are incorporated within | are treated as one unified interaction site (hence ''united-atom''), i.e. the hydrogen atoms are incorporated within | ||

the carbon atoms and are not expressed explicitly. Many [[force fields]] | the carbon atoms and are not expressed explicitly. Many [[force fields]] | ||

Line 7: | Line 7: | ||

14 hydrogen atoms. A fully-atomistic model of ''n''-hexane would | 14 hydrogen atoms. A fully-atomistic model of ''n''-hexane would | ||

require 20 interaction sites. Using the united-atom approximation, this reduces to | require 20 interaction sites. Using the united-atom approximation, this reduces to | ||

− | two <math>CH_3</math> sites and four <math>CH_2</math> sites, a significant reduction. | + | two <math>CH_3</math> sites and four <math>CH_2</math> sites, a significant reduction. The interaction sites are usually parametrised [[Lennard-Jones model | Lennard-Jones potentials]]. |

==Justification== | ==Justification== | ||

==Parameters== | ==Parameters== | ||

==References== | ==References== | ||

− | + | <references/> | |

− | + | ;Related reading | |

− | + | *[http://dx.doi.org/10.1080/00268978800101181 Rolf Lustig and William A. Steele "On the thermodynamics of liquid propane", Molecular Physics '''65''' pp. 475-486 (1988)] | |

− | + | *[http://dx.doi.org/10.1063/1.454894 Sumnesh Gupta, Jia-an Yang and Neil R. Kestner "Computer modeling of liquid propane using three-site potential models", Journal of Chemical Physics '''89''' pp. 3733-3741 (1988)] | |

+ | *[http://dx.doi.org/10.1063/1.456853 Søren Toxvaerd "Molecular dynamics calculation of the equation of state of liquid propane", Journal of Chemical Physics '''91''' pp. 3716-3720 (1989)] | ||

+ | *[http://dx.doi.org/10.1063/1.458709 Søren Toxvaerd "Molecular dynamics calculation of the equation of state of alkanes", Journal of Chemical Physics '''93''' pp. 4290-4295 (1990)] | ||

+ | *[http://dx.doi.org/10.1063/1.4983406 Richard A. Messerly, Thomas A. Knotts IV, and W. Vincent Wilding "Uncertainty quantification and propagation of errors of the Lennard-Jones 12-6 parameters for n-alkanes", Journal of Chemical Physics '''146''' 194110 (2017)] | ||

+ | |||

+ | |||

[[Category: Models]] | [[Category: Models]] |

## Latest revision as of 12:21, 23 May 2017

In the **united-atom model** the , and units
are treated as one unified interaction site (hence *united-atom*), i.e. the hydrogen atoms are incorporated within
the carbon atoms and are not expressed explicitly. Many force fields
make use of this approximation in order to reduce the computational
overheads. For example, *n*-hexane consists of 6 carbon atoms and
14 hydrogen atoms. A fully-atomistic model of *n*-hexane would
require 20 interaction sites. Using the united-atom approximation, this reduces to
two sites and four sites, a significant reduction. The interaction sites are usually parametrised Lennard-Jones potentials.

## Justification[edit]

## Parameters[edit]

## References[edit]

- Related reading

- Rolf Lustig and William A. Steele "On the thermodynamics of liquid propane", Molecular Physics
**65**pp. 475-486 (1988) - Sumnesh Gupta, Jia-an Yang and Neil R. Kestner "Computer modeling of liquid propane using three-site potential models", Journal of Chemical Physics
**89**pp. 3733-3741 (1988) - Søren Toxvaerd "Molecular dynamics calculation of the equation of state of liquid propane", Journal of Chemical Physics
**91**pp. 3716-3720 (1989) - Søren Toxvaerd "Molecular dynamics calculation of the equation of state of alkanes", Journal of Chemical Physics
**93**pp. 4290-4295 (1990) - Richard A. Messerly, Thomas A. Knotts IV, and W. Vincent Wilding "Uncertainty quantification and propagation of errors of the Lennard-Jones 12-6 parameters for n-alkanes", Journal of Chemical Physics
**146**194110 (2017)