Added alpha, beta, gamma defs.

git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@4077 f3b2605a-c512-4ea7-a41b-209d697bcdaa
This commit is contained in:
athomps 2010-04-30 22:27:16 +00:00
parent 5f8335283a
commit 4e5c79caca
4 changed files with 34 additions and 2 deletions

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@ -0,0 +1,20 @@
\documentclass[24pt]{article}
\usepackage{amsmath}
\pagestyle{empty}
\Huge
\begin{document}
\begin{eqnarray*}
a &=& {\rm lx} \\
b^2 &=& {\rm ly}^2 + {\rm xy}^2 \\
c^2 &=& {\rm lz}^2 + {\rm xz}^2 + {\rm yz}^2 \\
\cos{\alpha} &=& \frac{ {\rm xy}*{ \rm xz} + {\rm ly}*{\rm yz}}{ b*c} \\
\cos{\beta} &=& \frac{\rm xz}{c} \\
\cos{\gamma} &=& \frac{ \rm xy}{b} \\
\end{eqnarray*}
\end{document}

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@ -109,6 +109,12 @@ since if the maximum tilt factor is 5 (as in this example), then
configurations with tilt = ..., -15, -5, 5, 15, 25, ... are all
equivalent.
</P>
<P>Many crystal structures are defined using three lattice constants <I>a</I>, <I>b</I>,
and <I>c</I>, and three angles <I>alpha</I>, <I>beta</I> and <I>gamma</I>. The relationships between
these quantities and the LAMMPS box dimensions are as follows:
</P>
<CENTER><IMG SRC = "Eqs/box.jpg">
</CENTER>
<P>When a triclinic system is used, the simulation domain must be
periodic in any dimensions with a non-zero tilt factor, as defined by
the <A HREF = "boundary.html">boundary</A> command. I.e. if the xy tilt factor is
@ -265,7 +271,7 @@ appended to it, which indicate which image of a periodic simulation
box the atom is in. These may be important to include for some kinds
of analysis.
</P>
<DIV ALIGN=center><TABLE BORDER=1 >
<DIV ALIGN=center><TABLE WIDTH="0%" BORDER=1 >
<TR><TD >angle</TD><TD > atom-ID molecule-ID atom-type x y z</TD></TR>
<TR><TD >atomic</TD><TD > atom-ID atom-type x y z</TD></TR>
<TR><TD >bond</TD><TD > atom-ID molecule-ID atom-type x y z</TD></TR>
@ -681,7 +687,7 @@ style dipole or ellipsoid.
<UL><LI>one line per atom
<LI>line syntax: depends on atom style
</UL>
<DIV ALIGN=center><TABLE BORDER=1 >
<DIV ALIGN=center><TABLE WIDTH="0%" BORDER=1 >
<TR><TD >all styles except those listed</TD><TD > atom-ID vx vy vz</TD></TR>
<TR><TD >dipole</TD><TD > atom-ID vx vy vz wx wy wz</TD></TR>
<TR><TD >ellipsoid</TD><TD > atom-ID vx vy vz lx ly lz</TD></TR>

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@ -106,6 +106,12 @@ since if the maximum tilt factor is 5 (as in this example), then
configurations with tilt = ..., -15, -5, 5, 15, 25, ... are all
equivalent.
Many crystal structures are defined using three lattice constants {a}, {b},
and {c}, and three angles {alpha}, {beta} and {gamma}. The relationships between
these quantities and the LAMMPS box dimensions are as follows:
:c,image(Eqs/box.jpg)
When a triclinic system is used, the simulation domain must be
periodic in any dimensions with a non-zero tilt factor, as defined by
the "boundary"_boundary.html command. I.e. if the xy tilt factor is