# Tutorials:LatticeHOWTO:Library/ja

## 格子とグラフのライブラリ

<verbatim>
<LATTICE name="square" dimension="2">
<BASIS>
<VECTOR> 1 0 </VECTOR>
<VECTOR> 0 1 </VECTOR>
</BASIS>
</LATTICE>

<FINITELATTICE name="rectangular periodic" dimension="2">
<LATTICE ref="square"/>
<PARAMETER name="L" />
<PARAMETER name="W" default="L" />
<EXTENT dimension="1" size="L"/>
<EXTENT dimension="2" size="W"/>
<BOUNDARY type="periodic"/>
</FINITELATTICE>

<UNITCELL name="complex example" dimension="2" vertices="2">
<VERTEX id="1" type="0"><COORDINATE> 0.3 0.7 </COORDINATE></VERTEX>
<VERTEX id="2" type="1"><COORDINATE> 0.6 0.3 </COORDINATE></VERTEX>
<EDGE><SOURCE vertex="1"/><TARGET vertex="1" offset="1 0"/></EDGE>
<EDGE><SOURCE vertex="1"/><TARGET vertex="1" offset="0 1"/></EDGE>
<EDGE><SOURCE vertex="1"/><TARGET vertex="2"/></EDGE>
</UNITCELL>
<LATTICEGRAPH>
<FINITELATTICE ref="rectangular periodic"/>
<UNITCELL ref="complex example"/>
</LATTICEGRAPH>

<LATTICES>
<LATTICE name="chain lattice" dimension="1">
<BASIS><VECTOR>1</VECTOR></BASIS>
</LATTICE>
<LATTICE name="square lattice" dimension="2">
<PARAMETER name="a" default="1"/>
<BASIS><VECTOR>a 0</VECTOR><VECTOR>0 a</VECTOR></BASIS>
</LATTICE>
<LATTICE name="simple cubic lattice" dimension="3">
<PARAMETER name="a" default="1"/>
<BASIS>
<VECTOR>a 0 0</VECTOR>
<VECTOR>0 a 0</VECTOR>
<VECTOR>0 0 a</VECTOR>
</BASIS>
</LATTICE>
<UNITCELL name="simple1d" dimension="1">
<VERTEX/>
<EDGE><SOURCE vertex="1" offset="0"/><TARGET vertex="1" offset="1"/></EDGE>
</UNITCELL>
<UNITCELL name="simple2d" dimension="2">
<VERTEX/>
<EDGE><SOURCE vertex="1" offset="0 0"/><TARGET vertex="1" offset="0 1"/></EDGE>
<EDGE><SOURCE vertex="1" offset="0 0"/><TARGET vertex="1" offset="1 0"/></EDGE>
</UNITCELL>
<UNITCELL name="simple3d" dimension="3" vertices="1">
<VERTEX/>
<EDGE><SOURCE vertex="1"/><TARGET vertex="1" offset="1 0 0"/></EDGE>
<EDGE><SOURCE vertex="1"/><TARGET vertex="1" offset="0 1 0"/></EDGE>
<EDGE><SOURCE vertex="1"/><TARGET vertex="1" offset="0 0 1"/></EDGE>
</UNITCELL>
<LATTICEGRAPH name = "square lattice 3x3">
<FINITELATTICE>
<LATTICE ref="square lattice"/>
<EXTENT dimension="1" size="3"/>
<EXTENT dimension="2" size="3"/>
<BOUNDARY dimension="1" type="periodic"/>
<BOUNDARY dimension="2" type="open"/>
</FINITELATTICE>
<UNITCELL ref="simple2d"/>
</LATTICEGRAPH>
<LATTICEGRAPH name = "dimer">
<FINITELATTICE>
<LATTICE ref="chain lattice"/>
<EXTENT dimension="1" size="2"/>
<BOUNDARY type="open"/>
</FINITELATTICE>
<UNITCELL ref="simple1d"/>
</LATTICEGRAPH>
<LATTICEGRAPH name = "simple cubic lattice">
<FINITELATTICE>
<LATTICE ref="simple cubic lattice"/>
<PARAMETER name="W" default="L"/>
<PARAMETER name="H" default="W"/>
<EXTENT dimension="1" size="L"/>
<EXTENT dimension="2" size="W"/>
<EXTENT dimension="3" size="H"/>
<BOUNDARY type="periodic"/>
</FINITELATTICE>
<UNITCELL ref="simple3d"/>
</LATTICEGRAPH>
<LATTICEGRAPH name = "chain lattice">
<FINITELATTICE>
<LATTICE ref="chain lattice"/>
<EXTENT dimension="1" size ="L"/>
<BOUNDARY type="periodic"/>
</FINITELATTICE>
<UNITCELL ref="simple1d"/>
</LATTICEGRAPH>
<LATTICEGRAPH name = "anisotropic square lattice">
<FINITELATTICE>
<LATTICE ref="square lattice"/>
<PARAMETER name="W" default="L"/>
<EXTENT dimension="1" size="L"/>
<EXTENT dimension="2" size="W"/>
<BOUNDARY type="periodic"/>
</FINITELATTICE>
<UNITCELL ref="anisotropic2d"/>
</LATTICEGRAPH>
</LATTICES>