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@ -220,42 +220,66 @@ it gives quick access to documentation for all LAMMPS commands.</p>
</li>
<li class="toctree-l1"><a class="reference internal" href="Section_packages.html">4. Packages</a><ul>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#standard-packages">4.1. Standard packages</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#build-instructions-for-compress-package">4.2. Build instructions for COMPRESS package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#build-instructions-for-gpu-package">4.3. Build instructions for GPU package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#build-instructions-for-kim-package">4.4. Build instructions for KIM package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#build-instructions-for-kokkos-package">4.5. Build instructions for KOKKOS package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#build-instructions-for-kspace-package">4.6. Build instructions for KSPACE package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#build-instructions-for-meam-package">4.7. Build instructions for MEAM package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#build-instructions-for-poems-package">4.8. Build instructions for POEMS package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#build-instructions-for-python-package">4.9. Build instructions for PYTHON package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#build-instructions-for-reax-package">4.10. Build instructions for REAX package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#build-instructions-for-voronoi-package">4.11. Build instructions for VORONOI package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#build-instructions-for-xtc-package">4.12. Build instructions for XTC package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-packages">4.13. User packages</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-atc-package">4.14. USER-ATC package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-awpmd-package">4.15. USER-AWPMD package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-cg-cmm-package">4.16. USER-CG-CMM package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-colvars-package">4.17. USER-COLVARS package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-cuda-package">4.18. USER-CUDA package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-diffraction-package">4.19. USER-DIFFRACTION package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-dpd-package">4.20. USER-DPD package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-drude-package">4.21. USER-DRUDE package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-eff-package">4.22. USER-EFF package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-fep-package">4.23. USER-FEP package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-h5md-package">4.24. USER-H5MD package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-intel-package">4.25. USER-INTEL package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-lb-package">4.26. USER-LB package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-mgpt-package">4.27. USER-MGPT package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-misc-package">4.28. USER-MISC package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-molfile-package">4.29. USER-MOLFILE package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-omp-package">4.30. USER-OMP package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-phonon-package">4.31. USER-PHONON package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-qmmm-package">4.32. USER-QMMM package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-qtb-package">4.33. USER-QTB package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-reaxc-package">4.34. USER-REAXC package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-smd-package">4.35. USER-SMD package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-smtbq-package">4.36. USER-SMTBQ package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-sph-package">4.37. USER-SPH package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#asphere-package">4.2. ASPHERE package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#body-package">4.3. BODY package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#class2-package">4.4. CLASS2 package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#colloid-package">4.5. COLLOID package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#compress-package">4.6. COMPRESS package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#coreshell-package">4.7. CORESHELL package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#dipole-package">4.8. DIPOLE package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#fld-package">4.9. FLD package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#gpu-package">4.10. GPU package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#granular-package">4.11. GRANULAR package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#kim-package">4.12. KIM package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#kokkos-package">4.13. KOKKOS package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#kspace-package">4.14. KSPACE package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#manybody-package">4.15. MANYBODY package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#mc-package">4.16. MC package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#meam-package">4.17. MEAM package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#misc-package">4.18. MISC package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#molecule-package">4.19. MOLECULE package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#mpiio-package">4.20. MPIIO package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#opt-package">4.21. OPT package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#peri-package">4.22. PERI package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#poems-package">4.23. POEMS package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#python-package">4.24. PYTHON package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#qeq-package">4.25. QEQ package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#reax-package">4.26. REAX package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#replica-package">4.27. REPLICA package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#rigid-package">4.28. RIGID package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#shock-package">4.29. SHOCK package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#snap-package">4.30. SNAP package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#srd-package">4.31. SRD package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#voronoi-package">4.32. VORONOI package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#xtc-package">4.33. XTC package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-packages">4.34. User packages</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-atc-package">4.35. USER-ATC package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-awpmd-package">4.36. USER-AWPMD package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-cg-cmm-package">4.37. USER-CG-CMM package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-colvars-package">4.38. USER-COLVARS package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-cuda-package">4.39. USER-CUDA package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-diffraction-package">4.40. USER-DIFFRACTION package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-dpd-package">4.41. USER-DPD package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-drude-package">4.42. USER-DRUDE package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-eff-package">4.43. USER-EFF package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-fep-package">4.44. USER-FEP package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-h5md-package">4.45. USER-H5MD package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-intel-package">4.46. USER-INTEL package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-lb-package">4.47. USER-LB package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-mgpt-package">4.48. USER-MGPT package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-misc-package">4.49. USER-MISC package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-molfile-package">4.50. USER-MOLFILE package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-omp-package">4.51. USER-OMP package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-phonon-package">4.52. USER-PHONON package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-qmmm-package">4.53. USER-QMMM package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-qtb-package">4.54. USER-QTB package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-quip-package">4.55. USER-QUIP package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-reaxc-package">4.56. USER-REAXC package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-smd-package">4.57. USER-SMD package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-smtbq-package">4.58. USER-SMTBQ package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-sph-package">4.59. USER-SPH package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-tally-package">4.60. USER-TALLY package</a></li>
<li class="toctree-l2"><a class="reference internal" href="Section_packages.html#user-vtk-package">4.61. USER-VTK package</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="Section_accelerate.html">5. Accelerating LAMMPS performance</a><ul>

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@ -146,7 +146,7 @@ by the other three atoms. If the 4 atoms in an improper quadruplet
(listed in the data file read by the <a class="reference internal" href="read_data.html"><em>read_data</em></a>
command) are ordered I,J,K,L then the I-atom is assumed to be the
central atom.</p>
<img alt="JPG/improper_distance.jpg" class="align-center" src="JPG/improper_distance.jpg" />
<img alt="_images/improper_distance.jpg" class="align-center" src="_images/improper_distance.jpg" />
<p>Note that defining 4 atoms to interact in this way, does not mean that
bonds necessarily exist between I-J, J-K, or K-L, as they would in a
linear dihedral. Normally, the bonds I-J, I-K, I-L would exist for an

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