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Remove some duplicate anchors in documentation
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@ -36,7 +36,7 @@ uses charges on each atom. The "fix qeq/comb"_fix_qeq_comb.html
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command should be used to perform charge equilibration with the "COMB
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command should be used to perform charge equilibration with the "COMB
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potential"_pair_comb.html. For more technical details about the
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potential"_pair_comb.html. For more technical details about the
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charge equilibration performed by fix qeq/reax, see the
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charge equilibration performed by fix qeq/reax, see the
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"(Aktulga)"_#Aktulga paper.
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"(Aktulga)"_#qeq-Aktulga paper.
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The QEq method minimizes the electrostatic energy of the system by
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The QEq method minimizes the electrostatic energy of the system by
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adjusting the partial charge on individual atoms based on interactions
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adjusting the partial charge on individual atoms based on interactions
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@ -119,6 +119,6 @@ be used for periodic cell dimensions less than 10 angstroms.
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:link(Nakano)
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:link(Nakano)
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[(Nakano)] Nakano, Computer Physics Communications, 104, 59-69 (1997).
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[(Nakano)] Nakano, Computer Physics Communications, 104, 59-69 (1997).
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:link(Aktulga)
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:link(qeq-Aktulga)
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(Aktulga) Aktulga, Fogarty, Pandit, Grama, Parallel Computing, 38,
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[(Aktulga)] Aktulga, Fogarty, Pandit, Grama, Parallel Computing, 38,
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245-259 (2012).
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245-259 (2012).
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@ -52,7 +52,7 @@ to Stillinger-Weber potential ("SW"_#SW) if we set
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:c,image(Eqs/polymorphic4.jpg)
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:c,image(Eqs/polymorphic4.jpg)
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The potential reduces to Tersoff types of potential
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The potential reduces to Tersoff types of potential
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("Tersoff"_#Tersoff or "Albe"_#Albe) if we set
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("Tersoff"_#Tersoff or "Albe"_#poly-Albe) if we set
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:c,image(Eqs/polymorphic5.jpg)
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:c,image(Eqs/polymorphic5.jpg)
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:c,image(Eqs/polymorphic6.jpg)
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:c,image(Eqs/polymorphic6.jpg)
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@ -63,7 +63,7 @@ The potential reduces to Rockett-Tersoff ("Wang"_#Wang) type if we set
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:c,image(Eqs/polymorphic6.jpg)
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:c,image(Eqs/polymorphic6.jpg)
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:c,image(Eqs/polymorphic8.jpg)
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:c,image(Eqs/polymorphic8.jpg)
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The potential becomes embedded atom method ("Daw"_#Daw) if we set
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The potential becomes embedded atom method ("Daw"_#poly-Daw) if we set
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:c,image(Eqs/polymorphic9.jpg)
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:c,image(Eqs/polymorphic9.jpg)
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@ -218,12 +218,12 @@ F. P. Doty, J. Mater. Sci. Res., 4, 15 (2015).
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:link(Tersoff)
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:link(Tersoff)
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[(Tersoff)] J. Tersoff, Phys. Rev. B, 39, 5566 (1989).
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[(Tersoff)] J. Tersoff, Phys. Rev. B, 39, 5566 (1989).
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:link(Albe)
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:link(poly-Albe)
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[(Albe)] K. Albe, K. Nordlund, J. Nord, and A. Kuronen, Phys. Rev. B,
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[(Albe)] K. Albe, K. Nordlund, J. Nord, and A. Kuronen, Phys. Rev. B,
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66, 035205 (2002).
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66, 035205 (2002).
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:link(Wang)
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:link(Wang)
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[(Wang)] J. Wang, and A. Rockett, Phys. Rev. B, 43, 12571 (1991).
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[(Wang)] J. Wang, and A. Rockett, Phys. Rev. B, 43, 12571 (1991).
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:link(Daw)
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:link(poly-Daw)
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[(Daw)] M. S. Daw, and M. I. Baskes, Phys. Rev. B, 29, 6443 (1984).
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[(Daw)] M. S. Daw, and M. I. Baskes, Phys. Rev. B, 29, 6443 (1984).
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@ -23,9 +23,9 @@ pair_coeff * * SiC.tersoff.zbl Si C Si :pre
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[Description:]
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[Description:]
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The {tersoff/zbl} style computes a 3-body Tersoff potential
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The {tersoff/zbl} style computes a 3-body Tersoff potential
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"(Tersoff_1)"_#Tersoff_1 with a close-separation pairwise modification
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"(Tersoff_1)"_#zbl-Tersoff_1 with a close-separation pairwise modification
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based on a Coulomb potential and the Ziegler-Biersack-Littmark
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based on a Coulomb potential and the Ziegler-Biersack-Littmark
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universal screening function "(ZBL)"_#ZBL, giving the energy E of a
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universal screening function "(ZBL)"_#zbl-ZBL, giving the energy E of a
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system of atoms as
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system of atoms as
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:c,image(Eqs/pair_tersoff_zbl.jpg)
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:c,image(Eqs/pair_tersoff_zbl.jpg)
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@ -146,16 +146,16 @@ be set to 0.0 if desired.
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Note that the twobody parameters in entries such as SiCC and CSiSi
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Note that the twobody parameters in entries such as SiCC and CSiSi
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are often the same, due to the common use of symmetric mixing rules,
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are often the same, due to the common use of symmetric mixing rules,
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but this is not always the case. For example, the beta and n parameters in
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but this is not always the case. For example, the beta and n parameters in
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Tersoff_2 "(Tersoff_2)"_#Tersoff_2 are not symmetric.
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Tersoff_2 "(Tersoff_2)"_#zbl-Tersoff_2 are not symmetric.
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We chose the above form so as to enable users to define all commonly
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We chose the above form so as to enable users to define all commonly
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used variants of the Tersoff portion of the potential. In particular,
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used variants of the Tersoff portion of the potential. In particular,
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our form reduces to the original Tersoff form when m = 3 and gamma =
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our form reduces to the original Tersoff form when m = 3 and gamma =
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1, while it reduces to the form of "Albe et al."_#Albe when beta = 1
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1, while it reduces to the form of "Albe et al."_#zbl-Albe when beta = 1
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and m = 1. Note that in the current Tersoff implementation in LAMMPS,
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and m = 1. Note that in the current Tersoff implementation in LAMMPS,
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m must be specified as either 3 or 1. Tersoff used a slightly
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m must be specified as either 3 or 1. Tersoff used a slightly
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different but equivalent form for alloys, which we will refer to as
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different but equivalent form for alloys, which we will refer to as
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Tersoff_2 potential "(Tersoff_2)"_#Tersoff_2.
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Tersoff_2 potential "(Tersoff_2)"_#zbl-Tersoff_2.
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LAMMPS parameter values for Tersoff_2 can be obtained as follows:
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LAMMPS parameter values for Tersoff_2 can be obtained as follows:
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gamma = omega_ijk, lambda3 = 0 and the value of
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gamma = omega_ijk, lambda3 = 0 and the value of
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@ -253,16 +253,16 @@ units.
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:line
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:line
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:link(Tersoff_1)
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:link(zbl-Tersoff_1)
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[(Tersoff_1)] J. Tersoff, Phys Rev B, 37, 6991 (1988).
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[(Tersoff_1)] J. Tersoff, Phys Rev B, 37, 6991 (1988).
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:link(ZBL)
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:link(zbl-ZBL)
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[(ZBL)] J.F. Ziegler, J.P. Biersack, U. Littmark, 'Stopping and Ranges
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[(ZBL)] J.F. Ziegler, J.P. Biersack, U. Littmark, 'Stopping and Ranges
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of Ions in Matter' Vol 1, 1985, Pergamon Press.
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of Ions in Matter' Vol 1, 1985, Pergamon Press.
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:link(Albe)
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:link(zbl-Albe)
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[(Albe)] J. Nord, K. Albe, P. Erhart and K. Nordlund, J. Phys.:
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[(Albe)] J. Nord, K. Albe, P. Erhart and K. Nordlund, J. Phys.:
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Condens. Matter, 15, 5649(2003).
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Condens. Matter, 15, 5649(2003).
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:link(Tersoff_2)
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:link(zbl-Tersoff_2)
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[(Tersoff_2)] J. Tersoff, Phys Rev B, 39, 5566 (1989); errata (PRB 41, 3248)
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[(Tersoff_2)] J. Tersoff, Phys Rev B, 39, 5566 (1989); errata (PRB 41, 3248)
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