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lammps/doc/html/pair_sw_angle_table.html
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<title>pair_style sw/angle/table command &mdash; LAMMPS documentation</title>
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<div class="lammps_version">Version: <b>19 Nov 2024</b></div>
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<p class="caption" role="heading"><span class="caption-text">Command Reference</span></p>
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<li class="toctree-l1"><a class="reference internal" href="commands_list.html">Commands</a></li>
<li class="toctree-l1"><a class="reference internal" href="fixes.html">Fix Styles</a></li>
<li class="toctree-l1"><a class="reference internal" href="computes.html">Compute Styles</a></li>
<li class="toctree-l1 current"><a class="reference internal" href="pairs.html">Pair Styles</a><ul class="current">
<li class="toctree-l2"><a class="reference internal" href="pair_adp.html">pair_style adp command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_agni.html">pair_style agni command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_aip_water_2dm.html">pair_style aip/water/2dm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_airebo.html">pair_style airebo command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_airebo.html#pair-style-airebo-morse-command">pair_style airebo/morse command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_airebo.html#pair-style-rebo-command">pair_style rebo command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_amoeba.html">pair_style amoeba command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_amoeba.html#pair-style-hippo-command">pair_style hippo command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_atm.html">pair_style atm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_awpmd.html">pair_style awpmd/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_beck.html">pair_style beck command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_body_nparticle.html">pair_style body/nparticle command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_body_rounded_polygon.html">pair_style body/rounded/polygon command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_body_rounded_polyhedron.html">pair_style body/rounded/polyhedron command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_bop.html">pair_style bop command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_born.html">pair_style born command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_born.html#pair-style-born-coul-long-command">pair_style born/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_born.html#pair-style-born-coul-msm-command">pair_style born/coul/msm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_born.html#pair-style-born-coul-wolf-command">pair_style born/coul/wolf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_born.html#pair-style-born-coul-dsf-command">pair_style born/coul/dsf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_born_gauss.html">pair_style born/gauss command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_bpm_spring.html">pair_style bpm/spring command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_brownian.html">pair_style brownian command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_brownian.html#pair-style-brownian-poly-command">pair_style brownian/poly command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_buck.html">pair_style buck command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_buck.html#pair-style-buck-coul-cut-command">pair_style buck/coul/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_buck.html#pair-style-buck-coul-long-command">pair_style buck/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_buck.html#pair-style-buck-coul-msm-command">pair_style buck/coul/msm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_buck6d_coul_gauss.html">pair_style buck6d/coul/gauss/dsf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_buck6d_coul_gauss.html#pair-style-buck6d-coul-gauss-long-command">pair_style buck6d/coul/gauss/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_buck_long.html">pair_style buck/long/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_charmm.html">pair_style lj/charmm/coul/charmm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_charmm.html#pair-style-lj-charmm-coul-charmm-implicit-command">pair_style lj/charmm/coul/charmm/implicit command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_charmm.html#pair-style-lj-charmm-coul-long-command">pair_style lj/charmm/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_charmm.html#pair-style-lj-charmm-coul-msm-command">pair_style lj/charmm/coul/msm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_charmm.html#pair-style-lj-charmmfsw-coul-charmmfsh-command">pair_style lj/charmmfsw/coul/charmmfsh command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_charmm.html#pair-style-lj-charmmfsw-coul-long-command">pair_style lj/charmmfsw/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_class2.html">pair_style lj/class2 command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_class2.html#pair-style-lj-class2-coul-cut-command">pair_style lj/class2/coul/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_class2.html#pair-style-lj-class2-coul-long-command">pair_style lj/class2/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_colloid.html">pair_style colloid command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_comb.html">pair_style comb command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_comb.html#pair-style-comb3-command">pair_style comb3 command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cosine_squared.html">pair_style cosine/squared command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html">pair_style coul/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-cut-global-command">pair_style coul/cut/global command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-ctip-command">pair_style coul/ctip command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-debye-command">pair_style coul/debye command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-dsf-command">pair_style coul/dsf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-exclude-command">pair_style coul/exclude command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-long-command">pair_style coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-msm-command">pair_style coul/msm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-streitz-command">pair_style coul/streitz command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-coul-wolf-command">pair_style coul/wolf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-tip4p-cut-command">pair_style tip4p/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul.html#pair-style-tip4p-long-command">pair_style tip4p/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul_diel.html">pair_style coul/diel command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul_shield.html">pair_style coul/shield command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul_slater.html">pair_style coul/slater command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul_slater.html#pair-style-coul-slater-cut-command">pair_style coul/slater/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul_slater.html#pair-style-coul-slater-long-command">pair_style coul/slater/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_coul_tt.html">pair_style coul/tt command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cs.html">pair_style born/coul/dsf/cs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cs.html#pair-style-born-coul-long-cs-command">pair_style born/coul/long/cs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cs.html#pair-style-born-coul-wolf-cs-command">pair_style born/coul/wolf/cs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cs.html#pair-style-buck-coul-long-cs-command">pair_style buck/coul/long/cs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cs.html#pair-style-coul-long-cs-command">pair_style coul/long/cs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cs.html#pair-style-coul-wolf-cs-command">pair_style coul/wolf/cs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cs.html#pair-style-lj-cut-coul-long-cs-command">pair_style lj/cut/coul/long/cs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_cs.html#pair-style-lj-class2-coul-long-cs-command">pair_style lj/class2/coul/long/cs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dielectric.html">pair_style coul/cut/dielectric command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dielectric.html#pair-style-coul-long-dielectric-command">pair_style coul/long/dielectric command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dielectric.html#pair-style-lj-cut-coul-cut-dielectric-command">pair_style lj/cut/coul/cut/dielectric command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dielectric.html#pair-style-lj-cut-coul-debye-dielectric-command">pair_style lj/cut/coul/debye/dielectric command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dielectric.html#pair-style-lj-cut-coul-long-dielectric-command">pair_style lj/cut/coul/long/dielectric command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dielectric.html#pair-style-lj-cut-coul-msm-dielectric-command">pair_style lj/cut/coul/msm/dielectric command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dielectric.html#pair-style-lj-long-coul-long-dielectric-command">pair_style lj/long/coul/long/dielectric command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dipole.html">pair_style lj/cut/dipole/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dipole.html#pair-style-lj-sf-dipole-sf-command">pair_style lj/sf/dipole/sf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dipole.html#pair-style-lj-cut-dipole-long-command">pair_style lj/cut/dipole/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dipole.html#pair-style-lj-long-dipole-long-command">pair_style lj/long/dipole/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dpd.html">pair_style dpd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dpd.html#pair-style-dpd-tstat-command">pair_style dpd/tstat command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dpd_coul_slater_long.html">pair_style dpd/coul/slater/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dpd_ext.html">pair_style dpd/ext command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dpd_ext.html#pair-style-dpd-ext-tstat-command">pair_style dpd/ext/tstat command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dpd_fdt.html">pair_style dpd/fdt command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dpd_fdt.html#pair-style-dpd-fdt-energy-command">pair_style dpd/fdt/energy command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_drip.html">pair_style drip command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_dsmc.html">pair_style dsmc command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_e3b.html">pair_style e3b command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_eam.html">pair_style eam command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_eam.html#pair-style-eam-alloy-command">pair_style eam/alloy command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_eam.html#pair-style-eam-cd-command">pair_style eam/cd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_eam.html#pair-style-eam-cd-old-command">pair_style eam/cd/old command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_eam.html#pair-style-eam-fs-command">pair_style eam/fs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_eam.html#pair-style-eam-he-command">pair_style eam/he command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_edip.html">pair_style edip command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_edip.html#pair-style-edip-multi-command">pair_style edip/multi command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_eff.html">pair_style eff/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_eim.html">pair_style eim command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_exp6_rx.html">pair_style exp6/rx command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_extep.html">pair_style extep command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html">pair_style lj/cut/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-lj-cut-coul-cut-soft-command">pair_style lj/cut/coul/cut/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-lj-cut-coul-long-soft-command">pair_style lj/cut/coul/long/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-lj-cut-tip4p-long-soft-command">pair_style lj/cut/tip4p/long/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-lj-charmm-coul-long-soft-command">pair_style lj/charmm/coul/long/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-lj-class2-soft-command">pair_style lj/class2/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-lj-class2-coul-cut-soft-command">pair_style lj/class2/coul/cut/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-lj-class2-coul-long-soft-command">pair_style lj/class2/coul/long/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-coul-cut-soft-command">pair_style coul/cut/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-coul-long-soft-command">pair_style coul/long/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-tip4p-long-soft-command">pair_style tip4p/long/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_fep_soft.html#pair-style-morse-soft-command">pair_style morse/soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gauss.html">pair_style gauss command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gauss.html#pair-style-gauss-cut-command">pair_style gauss/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gayberne.html">pair_style gayberne command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gran.html">pair_style gran/hooke command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gran.html#pair-style-gran-hooke-history-command">pair_style gran/hooke/history command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gran.html#pair-style-gran-hertz-history-command">pair_style gran/hertz/history command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_granular.html">pair_style granular command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gromacs.html">pair_style lj/gromacs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gromacs.html#pair-style-lj-gromacs-coul-gromacs-command">pair_style lj/gromacs/coul/gromacs command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gw.html">pair_style gw command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_gw.html#pair-style-gw-zbl-command">pair_style gw/zbl command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_harmonic_cut.html">pair_style harmonic/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_hbond_dreiding.html">pair_style hbond/dreiding/lj command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_hbond_dreiding.html#pair-style-hbond-dreiding-morse-command">pair_style hbond/dreiding/morse command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_hdnnp.html">pair_style hdnnp command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_hybrid.html">pair_style hybrid command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_hybrid.html#pair-style-hybrid-molecular-command">pair_style hybrid/molecular command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_hybrid.html#pair-style-hybrid-overlay-command">pair_style hybrid/overlay command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_hybrid.html#pair-style-hybrid-scaled-command">pair_style hybrid/scaled command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_ilp_graphene_hbn.html">pair_style ilp/graphene/hbn command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_ilp_tmd.html">pair_style ilp/tmd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_kim.html">pair_style kim command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_kolmogorov_crespi_full.html">pair_style kolmogorov/crespi/full command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_kolmogorov_crespi_z.html">pair_style kolmogorov/crespi/z command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lcbop.html">pair_style lcbop command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lebedeva_z.html">pair_style lebedeva/z command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lepton.html">pair_style lepton command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_line_lj.html">pair_style line/lj command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_list.html">pair_style list command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj.html">pair_style lj/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj96.html">pair_style lj96/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cubic.html">pair_style lj/cubic command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_coul.html">pair_style lj/cut/coul/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_coul.html#pair-style-lj-cut-coul-debye-command">pair_style lj/cut/coul/debye command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_coul.html#pair-style-lj-cut-coul-dsf-command">pair_style lj/cut/coul/dsf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_coul.html#pair-style-lj-cut-coul-long-command">pair_style lj/cut/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_coul.html#pair-style-lj-cut-coul-msm-command">pair_style lj/cut/coul/msm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_coul.html#pair-style-lj-cut-coul-wolf-command">pair_style lj/cut/coul/wolf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_sphere.html">pair_style lj/cut/sphere command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_tip4p.html">pair_style lj/cut/tip4p/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_cut_tip4p.html#pair-style-lj-cut-tip4p-long-command">pair_style lj/cut/tip4p/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_expand.html">pair_style lj/expand command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_expand.html#pair-style-lj-expand-coul-long-command">pair_style lj/expand/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_expand_sphere.html">pair_style lj/expand/sphere command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_long.html">pair_style lj/long/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_long.html#pair-style-lj-long-tip4p-long-command">pair_style lj/long/tip4p/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_relres.html">pair_style lj/relres command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_smooth.html">pair_style lj/smooth command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_smooth_linear.html">pair_style lj/smooth/linear command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_switch3_coulgauss_long.html">pair_style lj/switch3/coulgauss/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lj_switch3_coulgauss_long.html#pair-style-mm3-switch3-coulgauss-long-command">pair_style mm3/switch3/coulgauss/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_local_density.html">pair_style local/density command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lubricate.html">pair_style lubricate command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lubricate.html#pair-style-lubricate-poly-command">pair_style lubricate/poly command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lubricateU.html">pair_style lubricateU command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_lubricateU.html#pair-style-lubricateu-poly-command">pair_style lubricateU/poly command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mdf.html">pair_style lj/mdf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mdf.html#pair-style-buck-mdf-command">pair_style buck/mdf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mdf.html#pair-style-lennard-mdf-command">pair_style lennard/mdf command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_meam.html">pair_style meam command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_meam.html#pair-style-meam-ms-command">pair_style meam/ms command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_meam_spline.html">pair_style meam/spline command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_meam_sw_spline.html">pair_style meam/sw/spline command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mesocnt.html">pair_style mesocnt command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mesocnt.html#pair-style-mesocnt-viscous-command">pair_style mesocnt/viscous command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mesodpd.html">pair_style edpd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mesodpd.html#pair-style-mdpd-command">pair_style mdpd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mesodpd.html#pair-style-mdpd-rhosum-command">pair_style mdpd/rhosum command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mesodpd.html#pair-style-tdpd-command">pair_style tdpd command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mgpt.html">pair_style mgpt command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mie.html">pair_style mie/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_mliap.html">pair_style mliap command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_momb.html">pair_style momb command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_morse.html">pair_style morse command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_morse.html#pair-style-morse-smooth-linear-command">pair_style morse/smooth/linear command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_multi_lucy.html">pair_style multi/lucy command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_multi_lucy_rx.html">pair_style multi/lucy/rx command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_nb3b.html">pair_style nb3b/harmonic command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_nb3b.html#pair-style-nb3b-screened-command">pair_style nb3b/screened command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_nm.html">pair_style nm/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_nm.html#pair-style-nm-cut-split-command">pair_style nm/cut/split command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_nm.html#pair-style-nm-cut-coul-cut-command">pair_style nm/cut/coul/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_nm.html#pair-style-nm-cut-coul-long-command">pair_style nm/cut/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_none.html">pair_style none command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna.html">pair_style oxdna/excv command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna.html#pair-style-oxdna-stk-command">pair_style oxdna/stk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna.html#pair-style-oxdna-hbond-command">pair_style oxdna/hbond command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna.html#pair-style-oxdna-xstk-command">pair_style oxdna/xstk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna.html#pair-style-oxdna-coaxstk-command">pair_style oxdna/coaxstk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna2.html">pair_style oxdna2/excv command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna2.html#pair-style-oxdna2-stk-command">pair_style oxdna2/stk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna2.html#pair-style-oxdna2-hbond-command">pair_style oxdna2/hbond command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna2.html#pair-style-oxdna2-xstk-command">pair_style oxdna2/xstk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna2.html#pair-style-oxdna2-coaxstk-command">pair_style oxdna2/coaxstk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxdna2.html#pair-style-oxdna2-dh-command">pair_style oxdna2/dh command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxrna2.html">pair_style oxrna2/excv command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxrna2.html#pair-style-oxrna2-stk-command">pair_style oxrna2/stk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxrna2.html#pair-style-oxrna2-hbond-command">pair_style oxrna2/hbond command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxrna2.html#pair-style-oxrna2-xstk-command">pair_style oxrna2/xstk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxrna2.html#pair-style-oxrna2-coaxstk-command">pair_style oxrna2/coaxstk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_oxrna2.html#pair-style-oxrna2-dh-command">pair_style oxrna2/dh command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_pace.html">pair_style pace command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_pace.html#pair-style-pace-extrapolation-command">pair_style pace/extrapolation command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_pedone.html">pair_style pedone command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_peri.html">pair_style peri/pmb command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_peri.html#pair-style-peri-lps-command">pair_style peri/lps command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_peri.html#pair-style-peri-ves-command">pair_style peri/ves command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_peri.html#pair-style-peri-eps-command">pair_style peri/eps command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_pod.html">pair_style pod command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_polymorphic.html">pair_style polymorphic command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_python.html">pair_style python command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_quip.html">pair_style quip command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_rann.html">pair_style rann command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_reaxff.html">pair_style reaxff command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_rebomos.html">pair_style rebomos command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_resquared.html">pair_style resquared command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_rheo.html">pair_style rheo command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_rheo_solid.html">pair_style rheo/solid command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_saip_metal.html">pair_style saip/metal command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sdpd_taitwater_isothermal.html">pair_style sdpd/taitwater/isothermal command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_smatb.html">pair_style smatb command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_smatb.html#pair-style-smatb-single-command">pair_style smatb/single command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_smd_hertz.html">pair_style smd/hertz command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_smd_tlsph.html">pair_style smd/tlsph command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_smd_triangulated_surface.html">pair_style smd/tri_surface command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_smd_ulsph.html">pair_style smd/ulsph command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_smtbq.html">pair_style smtbq command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_snap.html">pair_style snap command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_soft.html">pair_style soft command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sph_heatconduction.html">pair_style sph/heatconduction command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sph_idealgas.html">pair_style sph/idealgas command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sph_lj.html">pair_style sph/lj command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sph_rhosum.html">pair_style sph/rhosum command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sph_taitwater.html">pair_style sph/taitwater command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sph_taitwater_morris.html">pair_style sph/taitwater/morris command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spica.html">pair_style lj/spica command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spica.html#pair-style-lj-spica-coul-long-command">pair_style lj/spica/coul/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spica.html#pair-style-lj-spica-coul-msm-command">pair_style lj/spica/coul/msm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spin_dipole.html">pair_style spin/dipole/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spin_dipole.html#pair-style-spin-dipole-long-command">pair_style spin/dipole/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spin_dmi.html">pair_style spin/dmi command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spin_exchange.html">pair_style spin/exchange command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spin_exchange.html#pair-style-spin-exchange-biquadratic-command">pair_style spin/exchange/biquadratic command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spin_magelec.html">pair_style spin/magelec command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_spin_neel.html">pair_style spin/neel command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_srp.html">pair_style srp command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_srp.html#pair-style-srp-react-command">pair_style srp/react command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sw.html">pair_style sw command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_sw.html#pair-style-sw-mod-command">pair_style sw/mod command</a></li>
<li class="toctree-l2 current"><a class="current reference internal" href="#">pair_style sw/angle/table command</a><ul>
<li class="toctree-l3"><a class="reference internal" href="#syntax">Syntax</a></li>
<li class="toctree-l3"><a class="reference internal" href="#examples">Examples</a></li>
<li class="toctree-l3"><a class="reference internal" href="#description">Description</a></li>
<li class="toctree-l3"><a class="reference internal" href="#mixing-shift-table-tail-correction-restart-rrespa-info">Mixing, shift, table, tail correction, restart, rRESPA info</a></li>
<li class="toctree-l3"><a class="reference internal" href="#restrictions">Restrictions</a></li>
<li class="toctree-l3"><a class="reference internal" href="#related-commands">Related commands</a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="pair_table.html">pair_style table command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_table_rx.html">pair_style table/rx command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_tersoff.html">pair_style tersoff command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_tersoff.html#pair-style-tersoff-table-command">pair_style tersoff/table command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_tersoff_mod.html">pair_style tersoff/mod command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_tersoff_mod.html#pair-style-tersoff-mod-c-command">pair_style tersoff/mod/c command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_tersoff_zbl.html">pair_style tersoff/zbl command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_thole.html">pair_style thole command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_thole.html#pair-style-lj-cut-thole-long-command">pair_style lj/cut/thole/long command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_threebody_table.html">pair_style threebody/table command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_tracker.html">pair_style tracker command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_tri_lj.html">pair_style tri/lj command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_uf3.html">pair_style uf3 command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_ufm.html">pair_style ufm command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_vashishta.html">pair_style vashishta command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_vashishta.html#pair-style-vashishta-table-command">pair_style vashishta/table command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_wf_cut.html">pair_style wf/cut command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_ylz.html">pair_style ylz command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_yukawa.html">pair_style yukawa command</a></li>
<li class="toctree-l2"><a class="reference internal" href="pair_yukawa_colloid.html">pair_style yukawa/colloid command</a></li>
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<p><span class="math notranslate nohighlight">\(\renewcommand{\AA}{\text{Å}}\)</span></p>
<section id="pair-style-sw-angle-table-command">
<span id="index-0"></span><h1>pair_style sw/angle/table command<a class="headerlink" href="#pair-style-sw-angle-table-command" title="Link to this heading"></a></h1>
<section id="syntax">
<h2>Syntax<a class="headerlink" href="#syntax" title="Link to this heading"></a></h2>
<div class="highlight-LAMMPS notranslate"><div class="highlight"><pre><span></span><span class="k">pair_style</span><span class="w"> </span><span class="n">style</span>
</pre></div>
</div>
<ul class="simple">
<li><p>style = <em>sw/angle/table</em></p></li>
</ul>
</section>
<section id="examples">
<h2>Examples<a class="headerlink" href="#examples" title="Link to this heading"></a></h2>
<div class="highlight-LAMMPS notranslate"><div class="highlight"><pre><span></span><span class="k">pair_style</span><span class="w"> </span><span class="n">sw</span><span class="o">/</span><span class="n">angle</span><span class="o">/</span><span class="n">table</span>
<span class="k">pair_coeff</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">spce.sw</span><span class="w"> </span><span class="n">type</span>
</pre></div>
</div>
<p>Used in example input script:</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span>examples/PACKAGES/manybody_table/in.spce_sw
</pre></div>
</div>
</section>
<section id="description">
<h2>Description<a class="headerlink" href="#description" title="Link to this heading"></a></h2>
<div class="versionadded">
<p><span class="versionmodified added">Added in version 2Jun2022.</span></p>
</div>
<p>The <em>sw/angle/table</em> style is a modification of the original
<a class="reference internal" href="pair_sw.html"><span class="doc">pair_style sw</span></a>. It has been developed for coarse-grained
simulations (of water) (<a class="reference internal" href="#scherer1"><span class="std std-ref">Scherer1</span></a>), but can be employed
for all kinds of systems. It computes a modified 3-body
<a class="reference internal" href="#stillinger3"><span class="std std-ref">Stillinger-Weber</span></a> potential for the energy E of a
system of atoms as</p>
<div class="math notranslate nohighlight">
\[\begin{split} E &amp; = \sum_i \sum_{j &gt; i} \phi_2 (r_{ij}) +
\sum_i \sum_{j \neq i} \sum_{k &gt; j}
\phi_3 (r_{ij}, r_{ik}, \theta_{ijk}) \\
\phi_2(r_{ij}) &amp; = A_{ij} \epsilon_{ij} \left[ B_{ij} (\frac{\sigma_{ij}}{r_{ij}})^{p_{ij}} -
(\frac{\sigma_{ij}}{r_{ij}})^{q_{ij}} \right]
\exp \left( \frac{\sigma_{ij}}{r_{ij} - a_{ij} \sigma_{ij}} \right) \\
\phi_3(r_{ij},r_{ik},\theta_{ijk}) &amp; = f^{\textrm{3b}}\left(\theta_{ijk}\right)
\exp \left( \frac{\gamma_{ij} \sigma_{ij}}{r_{ij} - a_{ij} \sigma_{ij}} \right)
\exp \left( \frac{\gamma_{ik} \sigma_{ik}}{r_{ik} - a_{ik} \sigma_{ik}} \right)\end{split}\]</div>
<p>where <span class="math notranslate nohighlight">\(\phi_2\)</span> is a two-body term and <span class="math notranslate nohighlight">\(\phi_3\)</span> is a
three-body term. The summations in the formula are over all neighbors J
and K of atom I within a cutoff distance <span class="math notranslate nohighlight">\(a \sigma\)</span>. In contrast
to the original <em>sw</em> style, <em>sw/angle/table</em> allows for a flexible
three-body term <span class="math notranslate nohighlight">\(f^{\textrm{3b}}\left(\theta_{ijk}\right)\)</span> which
is read in as a tabulated interaction. It can be parameterized with the
csg_fmatch app of VOTCA as available at:
<a class="reference external" href="https://gitlab.mpcdf.mpg.de/votca/votca">https://gitlab.mpcdf.mpg.de/votca/votca</a>.</p>
<p>Only a single pair_coeff command is used with the <em>sw/angle/table</em> style
which specifies a modified Stillinger-Weber potential file with
parameters for all needed elements. These are mapped to LAMMPS atom
types by specifying N_el additional arguments after the “.sw” filename
in the pair_coeff command, where N_el is the number of LAMMPS atom
types:</p>
<ul class="simple">
<li><p>“.sw” filename</p></li>
<li><p>N_el element names = mapping of SW elements to atom types</p></li>
</ul>
<p>See the <a class="reference internal" href="pair_coeff.html"><span class="doc">pair_coeff</span></a> page for alternate ways to
specify the path for the potential file.</p>
<p>As an example, imagine a file SiC.sw has Stillinger-Weber values for Si
and C. If your LAMMPS simulation has 4 atoms types and you want the
first 3 to be Si, and the fourth to be C, you would use the following
pair_coeff command:</p>
<div class="highlight-LAMMPS notranslate"><div class="highlight"><pre><span></span><span class="k">pair_coeff</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">SiC.sw</span><span class="w"> </span><span class="n">Si</span><span class="w"> </span><span class="n">Si</span><span class="w"> </span><span class="n">Si</span><span class="w"> </span><span class="n">C</span>
</pre></div>
</div>
<p>The first 2 arguments must be * * so as to span all LAMMPS atom types.
The first three Si arguments map LAMMPS atom types 1,2,3 to the Si
element in the SW file. The final C argument maps LAMMPS atom type 4 to
the C element in the SW file. If a mapping value is specified as NULL,
the mapping is not performed. This can be used when a <em>sw/angle/table</em>
potential is used as part of the <em>hybrid</em> pair style. The NULL values
are placeholders for atom types that will be used with other potentials.</p>
<p>The (modified) Stillinger-Weber files have a “.sw” suffix. Lines that
are not blank or comments (starting with #) define parameters for a
triplet of elements. The parameters in a single entry correspond to the
two-body and three-body coefficients in the formula above. Here, also
the suffix “.sw” is used though the original Stillinger-Weber file
format is supplemented with four additional lines per parameter block to
specify the tabulated three-body interaction. A single entry then
contains:</p>
<ul class="simple">
<li><p>element 1 (the center atom in a 3-body interaction)</p></li>
<li><p>element 2</p></li>
<li><p>element 3</p></li>
<li><p><span class="math notranslate nohighlight">\(\epsilon\)</span> (energy units)</p></li>
<li><p><span class="math notranslate nohighlight">\(\sigma\)</span> (distance units)</p></li>
<li><p>a</p></li>
<li><p><span class="math notranslate nohighlight">\(\lambda\)</span></p></li>
<li><p><span class="math notranslate nohighlight">\(\gamma\)</span></p></li>
<li><p><span class="math notranslate nohighlight">\(\cos\theta_0\)</span></p></li>
<li><p>A</p></li>
<li><p>B</p></li>
<li><p>p</p></li>
<li><p>q</p></li>
<li><p>tol</p></li>
<li><p>filename</p></li>
<li><p>keyword</p></li>
<li><p>style</p></li>
<li><p>N</p></li>
</ul>
<p>The A, B, p, and q parameters are used only for two-body interactions.
The <span class="math notranslate nohighlight">\(\lambda\)</span> and <span class="math notranslate nohighlight">\(\cos\theta_0\)</span> parameters, only used for
three-body interactions in the original Stillinger-Weber style, are read
in but ignored in this modified pair style. The <span class="math notranslate nohighlight">\(\epsilon\)</span>
parameter is only used for two-body interactions in this modified pair
style and not for the three-body terms. The <span class="math notranslate nohighlight">\(\sigma\)</span> and <em>a</em>
parameters are used for both two-body and three-body
interactions. <span class="math notranslate nohighlight">\(\gamma\)</span> is used only in the three-body
interactions, but is defined for pairs of atoms. The non-annotated
parameters are unitless.</p>
<p>LAMMPS introduces an additional performance-optimization parameter tol
that is used for both two-body and three-body interactions. In the
Stillinger-Weber potential, the interaction energies become negligibly
small at atomic separations substantially less than the theoretical
cutoff distances. LAMMPS therefore defines a virtual cutoff distance
based on a user defined tolerance tol. The use of the virtual cutoff
distance in constructing atom neighbor lists can significantly reduce
the neighbor list sizes and therefore the computational cost. LAMMPS
provides a <em>tol</em> value for each of the three-body entries so that they
can be separately controlled. If tol = 0.0, then the standard
Stillinger-Weber cutoff is used.</p>
<p>The additional parameters <em>filename</em>, <em>keyword</em>, <em>style</em>, and <em>N</em> refer
to the tabulated angular potential
<span class="math notranslate nohighlight">\(f^{\textrm{3b}}\left(\theta_{ijk}\right)\)</span>. The tabulated angular
potential has to be of the format as used in the <a class="reference internal" href="angle_table.html"><span class="doc">angle_style table</span></a> command:</p>
<p>An interpolation tables of length <em>N</em> is created. The interpolation is
done in one of 2 <em>styles</em>: <em>linear</em> or <em>spline</em>. For the <em>linear</em>
style, the angle is used to find 2 surrounding table values from which
an energy or its derivative is computed by linear interpolation. For the
<em>spline</em> style, a cubic spline coefficients are computed and stored at
each of the <em>N</em> values in the table. The angle is used to find the
appropriate set of coefficients which are used to evaluate a cubic
polynomial which computes the energy or derivative.</p>
<p>The <em>filename</em> specifies the file containing the tabulated energy and
derivative values of <span class="math notranslate nohighlight">\(f^{\textrm{3b}}\left(\theta_{ijk}\right)\)</span>.
The <em>keyword</em> then specifies a section of the file. The format of this
file is as follows (without the parenthesized comments):</p>
<div class="highlight-none notranslate"><div class="highlight"><pre><span></span># Angle potential for harmonic (one or more comment or blank lines)
HAM (keyword is the first text on line)
N 181 FP 0 0 EQ 90.0 (N, FP, EQ parameters)
(blank line)
1 0.0 200.5 2.5 (index, angle, energy, derivative)
2 1.0 198.0 2.5
...
181 180.0 0.0 0.0
</pre></div>
</div>
<p>A section begins with a non-blank line whose first character is not a
“#”; blank lines or lines starting with “#” can be used as comments
between sections. The first line begins with a keyword which identifies
the section. The next line lists (in any order) one or more parameters
for the table. Each parameter is a keyword followed by one or more
numeric values.</p>
<p>The parameter “N” is required and its value is the number of table
entries that follow. Note that this may be different than the <em>N</em>
specified in the Stillinger-Weber potential file. Let Nsw = <em>N</em> in the
“.sw” file, and Nfile = “N” in the tabulated angular file. What LAMMPS
does is a preliminary interpolation by creating splines using the Nfile
tabulated values as nodal points. It uses these to interpolate as
needed to generate energy and derivative values at Ntable different
points. The resulting tables of length Nsw are then used as described
above, when computing energy and force for individual angles and their
atoms. This means that if you want the interpolation tables of length
Nsw to match exactly what is in the tabulated file (with effectively no
preliminary interpolation), you should set Nsw = Nfile.</p>
<p>The “FP” parameter is optional. If used, it is followed by two values
fplo and fphi, which are the second derivatives at the innermost and
outermost angle settings. These values are needed by the spline
construction routines. If not specified by the “FP” parameter, they are
estimated (less accurately) by the first two and last two derivative
values in the table.</p>
<p>The “EQ” parameter is also optional. If used, it is followed by a the
equilibrium angle value, which is used, for example, by the <a class="reference internal" href="fix_shake.html"><span class="doc">fix
shake</span></a> command. If not used, the equilibrium angle is set to
180.0.</p>
<p>Following a blank line, the next N lines of the angular table file list
the tabulated values. On each line, the first value is the index from 1
to N, the second value is the angle value (in degrees), the third value
is the energy (in energy units), and the fourth is -dE/d(theta) (also in
energy units). The third term is the energy of the 3-atom configuration
for the specified angle. The last term is the derivative of the energy
with respect to the angle (in degrees, not radians). Thus the units of
the last term are still energy, not force. The angle values must
increase from one line to the next. The angle values must also begin
with 0.0 and end with 180.0, i.e. span the full range of possible
angles.</p>
<p>Note that one angular potential file can contain many sections, each
with a tabulated potential. LAMMPS reads the file section by section
until it finds one that matches the specified <em>keyword</em> of appropriate
section of the “.sw” file.</p>
<p>The Stillinger-Weber potential file must contain entries for all the
elements listed in the pair_coeff command. It can also contain entries
for additional elements not being used in a particular simulation;
LAMMPS ignores those entries.</p>
<p>For a single-element simulation, only a single entry is required
(e.g. SiSiSi). For a two-element simulation, the file must contain 8
entries (for SiSiSi, SiSiC, SiCSi, SiCC, CSiSi, CSiC, CCSi, CCC), that
specify SW parameters for all permutations of the two elements
interacting in three-body configurations. Thus for 3 elements, 27
entries would be required, etc.</p>
<p>As annotated above, the first element in the entry is the center atom in
a three-body interaction. Thus an entry for SiCC means a Si atom with 2
C atoms as neighbors. The parameter values used for the two-body
interaction come from the entry where the second and third elements are
the same. Thus the two-body parameters for Si interacting with C, comes
from the SiCC entry. The three-body angular potential
<span class="math notranslate nohighlight">\(f^{\textrm{3b}}\left(\theta_{ijk}\right)\)</span> can in principle be
specific to the three elements of the configuration. However, the user
must ensure that it makes physically sense. Note also that the function
<span class="math notranslate nohighlight">\(\phi_3\)</span> contains two exponential screening factors with parameter
values from the ij pair and ik pairs. So <span class="math notranslate nohighlight">\(\phi_3\)</span> for a C atom
bonded to a Si atom and a second C atom will depend on the three-body
parameters for the CSiC entry, and also on the two-body parameters for
the CCC and CSiSi entries. Since the order of the two neighbors is
arbitrary, the three-body parameters and the tabulated angular potential
for entries CSiC and CCSi should be the same. Similarly, the two-body
parameters for entries SiCC and CSiSi should also be the same. The
parameters used only for two-body interactions (A, B, p, and q) in
entries whose second and third element are different (e.g. SiCSi) are
not used for anything and can be set to 0.0 if desired. This is also
true for the parameters in <span class="math notranslate nohighlight">\(\phi_3\)</span> that are taken from the ij and
ik pairs (<span class="math notranslate nohighlight">\(\sigma\)</span>, <em>a</em>, <span class="math notranslate nohighlight">\(\gamma\)</span>)</p>
<p>Additional input files and reference data can be found at:
<a class="reference external" href="https://gitlab.mpcdf.mpg.de/votca/votca/-/tree/master/csg-tutorials/spce/3body_sw">https://gitlab.mpcdf.mpg.de/votca/votca/-/tree/master/csg-tutorials/spce/3body_sw</a></p>
</section>
<hr class="docutils" />
<section id="mixing-shift-table-tail-correction-restart-rrespa-info">
<h2>Mixing, shift, table, tail correction, restart, rRESPA info<a class="headerlink" href="#mixing-shift-table-tail-correction-restart-rrespa-info" title="Link to this heading"></a></h2>
<p>For atom type pairs I,J and I != J, where types I and J correspond to
two different element types, mixing is performed by LAMMPS as described
above from values in the potential file, but not for the tabulated
angular potential file.</p>
<p>This pair style does not support the <a class="reference internal" href="pair_modify.html"><span class="doc">pair_modify</span></a>
shift, table, and tail options.</p>
<p>This pair style does not write its information to <a class="reference internal" href="restart.html"><span class="doc">binary restart
files</span></a>, since it is stored in potential files. Thus, you need
to re-specify the pair_style and pair_coeff commands in an input script
that reads a restart file.</p>
<p>This pair style can only be used via the <em>pair</em> keyword of the
<a class="reference internal" href="run_style.html"><span class="doc">run_style respa</span></a> command. It does not support the
<em>inner</em>, <em>middle</em>, <em>outer</em> keywords.</p>
</section>
<hr class="docutils" />
<section id="restrictions">
<h2>Restrictions<a class="headerlink" href="#restrictions" title="Link to this heading"></a></h2>
<p>This pair style is part of the MANYBODY package. It is only enabled if
LAMMPS was built with that package. See the <a class="reference internal" href="Build_package.html"><span class="doc">Build package</span></a> page for more info.</p>
<p>This pair style requires the <a class="reference internal" href="newton.html"><span class="doc">newton</span></a> setting to be “on”
for pair interactions.</p>
</section>
<section id="related-commands">
<h2>Related commands<a class="headerlink" href="#related-commands" title="Link to this heading"></a></h2>
<p><a class="reference internal" href="pair_coeff.html"><span class="doc">pair_coeff</span></a>, <a class="reference internal" href="pair_sw.html"><span class="doc">pair_style sw</span></a>,
<a class="reference internal" href="pair_threebody_table.html"><span class="doc">pair_style threebody/table</span></a></p>
<hr class="docutils" />
<p id="stillinger3"><strong>(Stillinger)</strong> Stillinger and Weber, Phys Rev B, 31, 5262 (1985).</p>
<p id="scherer1"><strong>(Scherer1)</strong> C. Scherer and D. Andrienko, Phys. Chem. Chem. Phys. 20, 22387-22394 (2018).</p>
</section>
</section>
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