464 lines
29 KiB
HTML
464 lines
29 KiB
HTML
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<title>compute hexorder/atom command — LAMMPS documentation</title>
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<a href="Manual.html" class="icon icon-home"> LAMMPS
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<p class="caption"><span class="caption-text">User Documentation</span></p>
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<ul>
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<li class="toctree-l1"><a class="reference internal" href="Section_intro.html">1. Introduction</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_start.html">2. Getting Started</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_commands.html">3. Commands</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_packages.html">4. Packages</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_accelerate.html">5. Accelerating LAMMPS performance</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_howto.html">6. How-to discussions</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_example.html">7. Example problems</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_perf.html">8. Performance & scalability</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_tools.html">9. Additional tools</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_modify.html">10. Modifying & extending LAMMPS</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_python.html">11. Python interface to LAMMPS</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_errors.html">12. Errors</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_history.html">13. Future and history</a></li>
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</ul>
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<p class="caption"><span class="caption-text">Index</span></p>
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<ul class="current">
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<li class="toctree-l1"><a class="reference internal" href="tutorials.html">Tutorials</a></li>
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<li class="toctree-l1"><a class="reference internal" href="commands.html">Commands</a></li>
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<li class="toctree-l1"><a class="reference internal" href="fixes.html">Fixes</a></li>
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<li class="toctree-l1 current"><a class="reference internal" href="computes.html">Computes</a><ul class="current">
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<li class="toctree-l2"><a class="reference internal" href="compute_ackland_atom.html">compute ackland/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_angle.html">compute angle command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_angle_local.html">compute angle/local command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_angmom_chunk.html">compute angmom/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_basal_atom.html">compute basal/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_body_local.html">compute body/local command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_bond.html">compute bond command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_bond_local.html">compute bond/local command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_centro_atom.html">compute centro/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_chunk_atom.html">compute chunk/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_cluster_atom.html">compute cluster/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_cna_atom.html">compute cna/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_com.html">compute com command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_com_chunk.html">compute com/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_contact_atom.html">compute contact/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_coord_atom.html">compute coord/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_damage_atom.html">compute damage/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_dihedral.html">compute dihedral command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_dihedral_local.html">compute dihedral/local command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_dilatation_atom.html">compute dilatation/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_dipole_chunk.html">compute dipole/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_displace_atom.html">compute displace/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_dpd.html">compute dpd command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_dpd_atom.html">compute dpd/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_erotate_asphere.html">compute erotate/asphere command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_erotate_rigid.html">compute erotate/rigid command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_erotate_sphere.html">compute erotate/sphere command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_erotate_sphere_atom.html">compute erotate/sphere/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_event_displace.html">compute event/displace command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_fep.html">compute fep command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_group_group.html">compute group/group command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_gyration.html">compute gyration command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_gyration_chunk.html">compute gyration/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_heat_flux.html">compute heat/flux command</a></li>
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<li class="toctree-l2 current"><a class="current reference internal" href="#">compute hexorder/atom command</a><ul>
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<li class="toctree-l3"><a class="reference internal" href="#syntax">Syntax</a></li>
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<li class="toctree-l3"><a class="reference internal" href="#examples">Examples</a></li>
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<li class="toctree-l3"><a class="reference internal" href="#description">Description</a></li>
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<li class="toctree-l3"><a class="reference internal" href="#restrictions">Restrictions</a></li>
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<li class="toctree-l3"><a class="reference internal" href="#related-commands">Related commands</a></li>
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<li class="toctree-l3"><a class="reference internal" href="#default">Default</a></li>
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</ul>
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</li>
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<li class="toctree-l2"><a class="reference internal" href="compute_improper.html">compute improper command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_improper_local.html">compute improper/local command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_inertia_chunk.html">compute inertia/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_ke.html">compute ke command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_ke_atom.html">compute ke/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_ke_atom_eff.html">compute ke/atom/eff command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_ke_eff.html">compute ke/eff command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_ke_rigid.html">compute ke/rigid command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_meso_e_atom.html">compute meso/e/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_meso_rho_atom.html">compute meso/rho/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_meso_t_atom.html">compute meso/t/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_msd.html">compute msd command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_msd_chunk.html">compute msd/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_msd_nongauss.html">compute msd/nongauss command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_omega_chunk.html">compute omega/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_orientorder_atom.html">compute orientorder/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_pair.html">compute pair command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_pair_local.html">compute pair/local command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_pe.html">compute pe command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_pe_atom.html">compute pe/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_plasticity_atom.html">compute plasticity/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_pressure.html">compute pressure command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_property_atom.html">compute property/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_property_chunk.html">compute property/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_property_local.html">compute property/local command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_rdf.html">compute rdf command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_reduce.html">compute reduce command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_reduce.html#compute-reduce-region-command">compute reduce/region command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_rigid_local.html">compute rigid/local command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_saed.html">compute saed command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_slice.html">compute slice command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_contact_radius.html">compute smd/contact/radius command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_damage.html">compute smd/damage command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_hourglass_error.html">compute smd/hourglass/error command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_internal_energy.html">compute smd/internal/energy command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_plastic_strain.html">compute smd/plastic/strain command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_plastic_strain_rate.html">compute smd/plastic/strain/rate command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_rho.html">compute smd/rho command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_tlsph_defgrad.html">compute smd/tlsph/defgrad command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_tlsph_dt.html">compute smd/tlsph/dt command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_tlsph_num_neighs.html">compute smd/tlsph/num/neighs command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_tlsph_shape.html">compute smd/tlsph/shape command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_tlsph_strain.html">compute smd/tlsph/strain command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_tlsph_strain_rate.html">compute smd/tlsph/strain/rate command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_tlsph_stress.html">compute smd/tlsph/stress command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_triangle_mesh_vertices.html">compute smd/triangle/mesh/vertices</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_ulsph_num_neighs.html">compute smd/ulsph/num/neighs command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_ulsph_strain.html">compute smd/ulsph/strain command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_ulsph_strain_rate.html">compute smd/ulsph/strain/rate command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_ulsph_stress.html">compute smd/ulsph/stress command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_smd_vol.html">compute smd/vol command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_sna_atom.html">compute sna/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_sna_atom.html#compute-snad-atom-command">compute snad/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_sna_atom.html#compute-snav-atom-command">compute snav/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_stress_atom.html">compute stress/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_tally.html">compute force/tally command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_tally.html#compute-heat-flux-tally-command">compute heat/flux/tally command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_tally.html#compute-pe-tally-command">compute pe/tally command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_tally.html#compute-pe-mol-tally-command">compute pe/mol/tally command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_tally.html#compute-stress-tally-command">compute stress/tally command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp.html">compute temp command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp.html#compute-temp-kk-command">compute temp/kk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_asphere.html">compute temp/asphere command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_body.html">compute temp/body command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_chunk.html">compute temp/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_com.html">compute temp/com command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_cs.html">compute temp/cs command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_deform.html">compute temp/deform command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_deform_eff.html">compute temp/deform/eff command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_drude.html">compute temp/drude command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_eff.html">compute temp/eff command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_partial.html">compute temp/partial command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_profile.html">compute temp/profile command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_ramp.html">compute temp/ramp command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_region.html">compute temp/region command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_region_eff.html">compute temp/region/eff command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_rotate.html">compute temp/rotate command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_temp_sphere.html">compute temp/sphere command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_ti.html">compute ti command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_torque_chunk.html">compute torque/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_vacf.html">compute vacf command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_vcm_chunk.html">compute vcm/chunk command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_voronoi_atom.html">compute voronoi/atom command</a></li>
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<li class="toctree-l2"><a class="reference internal" href="compute_xrd.html">compute xrd command</a></li>
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</ul>
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</li>
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<li class="toctree-l1"><a class="reference internal" href="pairs.html">Pair Styles</a></li>
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<li class="toctree-l1"><a class="reference internal" href="bonds.html">Bond Styles</a></li>
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<li class="toctree-l1"><a class="reference internal" href="angles.html">Angle Styles</a></li>
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<li class="toctree-l1"><a class="reference internal" href="dihedrals.html">Dihedral Styles</a></li>
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<li class="toctree-l1"><a class="reference internal" href="impropers.html">Improper Styles</a></li>
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</ul>
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</div>
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<li>compute hexorder/atom command</li>
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<div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article">
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<div class="section" id="compute-hexorder-atom-command">
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<span id="index-0"></span><h1>compute hexorder/atom command</h1>
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<div class="section" id="syntax">
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<h2>Syntax</h2>
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<div class="highlight-default"><div class="highlight"><pre><span></span><span class="n">compute</span> <span class="n">ID</span> <span class="n">group</span><span class="o">-</span><span class="n">ID</span> <span class="n">hexorder</span><span class="o">/</span><span class="n">atom</span> <span class="n">keyword</span> <span class="n">values</span> <span class="o">...</span>
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</pre></div>
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</div>
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<ul>
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<li><p class="first">ID, group-ID are documented in <a class="reference internal" href="compute.html"><span class="doc">compute</span></a> command</p>
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</li>
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<li><p class="first">hexorder/atom = style name of this compute command</p>
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</li>
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<li><p class="first">one or more keyword/value pairs may be appended</p>
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<pre class="literal-block">
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keyword = <em>degree</em> or <em>nnn</em> or <em>cutoff</em>
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<em>cutoff</em> value = distance cutoff
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<em>nnn</em> value = number of nearest neighbors
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<em>degree</em> value = degree <em>n</em> of order parameter
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</pre>
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</li>
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</ul>
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</div>
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<div class="section" id="examples">
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<h2>Examples</h2>
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<div class="highlight-default"><div class="highlight"><pre><span></span><span class="n">compute</span> <span class="mi">1</span> <span class="nb">all</span> <span class="n">hexorder</span><span class="o">/</span><span class="n">atom</span>
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<span class="n">compute</span> <span class="mi">1</span> <span class="nb">all</span> <span class="n">hexorder</span><span class="o">/</span><span class="n">atom</span> <span class="n">degree</span> <span class="mi">4</span> <span class="n">nnn</span> <span class="mi">4</span> <span class="n">cutoff</span> <span class="mf">1.2</span>
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</pre></div>
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</div>
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</div>
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<div class="section" id="description">
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<h2>Description</h2>
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<p>Define a computation that calculates <em>qn</em> the bond-orientational
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order parameter for each atom in a group. The hexatic (<em>n</em> = 6) order
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parameter was introduced by <a class="reference internal" href="#nelson"><span class="std std-ref">Nelson and Halperin</span></a> as a way to detect
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hexagonal symmetry in two-dimensional systems. For each atom, <em>qn</em>
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is a complex number (stored as two real numbers) defined as follows:</p>
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<img alt="_images/hexorder.jpg" class="align-center" src="_images/hexorder.jpg" />
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<p>where the sum is over the <em>nnn</em> nearest neighbors
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of the central atom. The angle theta
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is formed by the bond vector rij and the <em>x</em> axis. theta is calculated
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only using the <em>x</em> and <em>y</em> components, whereas the distance from the
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central atom is calculated using all three
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<em>x</em>, <em>y</em>, and <em>z</em> components of the bond vector.
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Neighbor atoms not in the group
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are included in the order parameter of atoms in the group.</p>
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<p>The optional keyword <em>cutoff</em> defines the distance cutoff
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used when searching for neighbors. The default value, also
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the maximum allowable value, is the cutoff specified
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by the pair style.</p>
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<p>The optional keyword <em>nnn</em> defines the number of nearest
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neighbors used to calculate <em>qn</em>. The default value is 6.
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If the value is NULL, then all neighbors up to the
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distance cutoff are used.</p>
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<p>The optional keyword <em>degree</em> sets the degree <em>n</em> of the order parameter.
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The default value is 6. For a perfect hexagonal lattice with
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<em>nnn</em> = 6,
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<em>q</em>6 = exp(6 i phi) for all atoms, where the constant 0 < phi < pi/3
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depends only on the orientation of the lattice relative to the <em>x</em> axis.
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In an isotropic liquid, local neighborhoods may still exhibit
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weak hexagonal symmetry, but because the orientational correlation
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decays quickly with distance, the value of phi will be different for
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different atoms, and so when <em>q</em>6 is averaged over all the atoms
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in the system, \|<<em>q</em>6>\| << 1.</p>
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<p>The value of <em>qn</em> is set to zero for atoms not in the
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specified compute group, as well as for atoms that have less than
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<em>nnn</em> neighbors within the distance cutoff.</p>
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<p>The neighbor list needed to compute this quantity is constructed each
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time the calculation is performed (i.e. each time a snapshot of atoms
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is dumped). Thus it can be inefficient to compute/dump this quantity
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too frequently.</p>
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<div class="admonition note">
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<p class="first admonition-title">Note</p>
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<p class="last">If you have a bonded system, then the settings of
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<a class="reference internal" href="special_bonds.html"><span class="doc">special_bonds</span></a> command can remove pairwise
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interactions between atoms in the same bond, angle, or dihedral. This
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is the default setting for the <a class="reference internal" href="special_bonds.html"><span class="doc">special_bonds</span></a>
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command, and means those pairwise interactions do not appear in the
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neighbor list. Because this fix uses the neighbor list, it also means
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those pairs will not be included in the order parameter. This
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difficulty can be circumvented by writing a dump file, and using the
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<a class="reference internal" href="rerun.html"><span class="doc">rerun</span></a> command to compute the order parameter for
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snapshots in the dump file. The rerun script can use a
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<a class="reference internal" href="special_bonds.html"><span class="doc">special_bonds</span></a> command that includes all pairs in
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the neighbor list.</p>
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</div>
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<p><strong>Output info:</strong></p>
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<p>This compute calculates a per-atom array with 2 columns, giving the
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real and imaginary parts <em>qn</em>, a complex number restricted to the
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unit disk of the complex plane i.e. Re(<em>qn</em>)^2 + Im(<em>qn</em>)^2 <= 1 .</p>
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<p>These values can be accessed by any command that uses
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per-atom values from a compute as input. See <a class="reference internal" href="Section_howto.html#howto-15"><span class="std std-ref">Section 6.15</span></a> for an overview of LAMMPS output
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options.</p>
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</div>
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<div class="section" id="restrictions">
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<h2>Restrictions</h2>
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<blockquote>
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<div>none</div></blockquote>
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</div>
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<div class="section" id="related-commands">
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<h2>Related commands</h2>
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<p><a class="reference internal" href="compute_orientorder_atom.html"><span class="doc">compute orientorder/atom</span></a>, <a class="reference internal" href="compute_coord_atom.html"><span class="doc">compute coord/atom</span></a>, <a class="reference internal" href="compute_centro_atom.html"><span class="doc">compute centro/atom</span></a></p>
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</div>
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<div class="section" id="default">
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<h2>Default</h2>
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<p>The option defaults are <em>cutoff</em> = pair style cutoff, <em>nnn</em> = 6, <em>degree</em> = 6</p>
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<hr class="docutils" />
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<p id="nelson"><strong>(Nelson)</strong> Nelson, Halperin, Phys Rev B, 19, 2457 (1979).</p>
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