# Tangent linear hard sphere chains

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The **tangent linear hard sphere chain** model consists of, as the name suggests, chains of varying monomer length (), placed tangentially
in a linear configuration. Each monomer is a hard sphere model and each molecule is rigid.

## Liquid crystals[edit]

For smectic-A phase becomes stable. For the nematic phase becomes stable ^{[1]}.

## Excluded volume[edit]

The excluded volume for this model is given by (^{[2]} Eq. 30):

where is the relative orientation of the principal axes of the molecules. See Ref. 2 for details of and .

## References[edit]

- ↑ Carlos Vega, Carl McBride, and Luis G. MacDowell "Liquid crystal phase formation for the linear tangent hard sphere model from Monte Carlo simulations", Journal of Chemical Physics
**115**pp. 4203-4211 (2001) - ↑ Dave C. Williamson and George Jackson "Excluded volume for a pair of linear chains of tangent hard spheres with an arbitrary relative orientation", Molecular Physics
**86**pp. 819-836 (1995)

- Related reading