mirror of https://github.com/lammps/lammps.git
Added alpha, beta, gamma defs.
git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@4077 f3b2605a-c512-4ea7-a41b-209d697bcdaa
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\documentclass[24pt]{article}
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\usepackage{amsmath}
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\pagestyle{empty}
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\Huge
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\begin{document}
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\begin{eqnarray*}
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a &=& {\rm lx} \\
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b^2 &=& {\rm ly}^2 + {\rm xy}^2 \\
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c^2 &=& {\rm lz}^2 + {\rm xz}^2 + {\rm yz}^2 \\
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\cos{\alpha} &=& \frac{ {\rm xy}*{ \rm xz} + {\rm ly}*{\rm yz}}{ b*c} \\
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\cos{\beta} &=& \frac{\rm xz}{c} \\
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\cos{\gamma} &=& \frac{ \rm xy}{b} \\
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\end{eqnarray*}
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\end{document}
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@ -109,6 +109,12 @@ since if the maximum tilt factor is 5 (as in this example), then
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configurations with tilt = ..., -15, -5, 5, 15, 25, ... are all
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equivalent.
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</P>
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<P>Many crystal structures are defined using three lattice constants <I>a</I>, <I>b</I>,
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and <I>c</I>, and three angles <I>alpha</I>, <I>beta</I> and <I>gamma</I>. The relationships between
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these quantities and the LAMMPS box dimensions are as follows:
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</P>
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<CENTER><IMG SRC = "Eqs/box.jpg">
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</CENTER>
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<P>When a triclinic system is used, the simulation domain must be
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periodic in any dimensions with a non-zero tilt factor, as defined by
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the <A HREF = "boundary.html">boundary</A> command. I.e. if the xy tilt factor is
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@ -265,7 +271,7 @@ appended to it, which indicate which image of a periodic simulation
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box the atom is in. These may be important to include for some kinds
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of analysis.
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</P>
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<DIV ALIGN=center><TABLE BORDER=1 >
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<DIV ALIGN=center><TABLE WIDTH="0%" BORDER=1 >
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<TR><TD >angle</TD><TD > atom-ID molecule-ID atom-type x y z</TD></TR>
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<TR><TD >atomic</TD><TD > atom-ID atom-type x y z</TD></TR>
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<TR><TD >bond</TD><TD > atom-ID molecule-ID atom-type x y z</TD></TR>
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@ -681,7 +687,7 @@ style dipole or ellipsoid.
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<UL><LI>one line per atom
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<LI>line syntax: depends on atom style
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</UL>
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<DIV ALIGN=center><TABLE BORDER=1 >
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<DIV ALIGN=center><TABLE WIDTH="0%" BORDER=1 >
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<TR><TD >all styles except those listed</TD><TD > atom-ID vx vy vz</TD></TR>
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<TR><TD >dipole</TD><TD > atom-ID vx vy vz wx wy wz</TD></TR>
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<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
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configurations with tilt = ..., -15, -5, 5, 15, 25, ... are all
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equivalent.
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Many crystal structures are defined using three lattice constants {a}, {b},
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and {c}, and three angles {alpha}, {beta} and {gamma}. The relationships between
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these quantities and the LAMMPS box dimensions are as follows:
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:c,image(Eqs/box.jpg)
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When a triclinic system is used, the simulation domain must be
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periodic in any dimensions with a non-zero tilt factor, as defined by
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the "boundary"_boundary.html command. I.e. if the xy tilt factor is
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