update documentation and examples

This commit is contained in:
Wengen Ouyang
2021-12-04 17:38:29 +02:00
parent 8aee8cc427
commit e36029293a
8 changed files with 968 additions and 920 deletions

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@ -67,14 +67,26 @@ where :math:`\phi_2` is a two-body term and :math:`\phi_3` is a
three-body term. The summations in the formula are over all neighbors J
and K of atom I within a cutoff distance :math:`a `\sigma`.
The *sw/mod* style is designed for simulations of materials when
distinguishing three-body angles are necessary, such as borophene
and transition metal dichalcogenide, which cannot be described
by the original code for the Stillinger-Weber potential.
For instance, there are several types of angles around each Mo atom in `MoS_2`,
and some unnecessary angle types should be excluded in the three-body interaction.
Such exclusion may be realized by selecting proper angle types directly.
The exclusion of unnecessary angles is achieved here by the cut-off function (`f_C(\delta)`),
which induces only minimum modifications for LAMMPS.
Validation, benchmark tests, and applications of the *sw/mod* style
can be found in :ref:`(Jiang_1) <Jiang1>` and :ref:`(Jiang_2) <Jiang2>`.
The *sw/mod* style computes the energy E of a system of atoms, whose potential
function is mostly the same as the Stillinger-Weber potential. The only modification
is in the three-body term, where :math:`\delta = \cos \theta_{ijk} - \cos \theta_{0ijk}`
is modified with the following function:
is in the three-body term, where the value of :math:`\delta = \cos \theta_{ijk} - \cos \theta_{0ijk}`
used in the original energy and force expression is scaled by a switching factor `f_C(\delta)`:
.. math::
\delta = \delta f_C(\delta)
f_C(\delta) & = \left\{ \begin{array} {r@{\quad:\quad}l}
1 & \lvert \delta \rvert < \delta_1 \\
\frac{1}{2} + \frac{1}{2} \cos \left( \pi \frac{\lvert \delta \rvert - \delta_1}{\delta_2 - \delta_1} \right) &
@ -82,14 +94,22 @@ is modified with the following function:
0 & \vert \delta \rvert > \delta_2
\end{array} \right. \\
The *sw/mod* style is designed for simulations of materials when
distinguishing three-body angles are necessary, such as borophene
and transition metal dichalcogenide, which cannot be described
by the original code for the Stillinger-Weber potential. Validation,
benchmark tests, and applications of the *sw/mod* style can be found in
:ref:`(Jiang_1) <Jiang1>` and :ref:`(Jiang_2) <Jiang2>`.
This cut-off function decreases smoothly from 1 to 0 over the range [`delta_1`, `delta_2`].
This smoothly turns off the energy and force contributions for `\lvert \delta \rvert > deltai_2`.
It is suggested that `delta_1` and `delta_2` to be the value around
`0.5 \lvert \cos \left( \theta_1 \right) - \cos \left( \theta_2 \right) \rvert`,
with `theta_1` and `theta_2` as the different types of angles around an atom.
For borophene and transition metal dichalcogenide, `\delta_1 = 0.25` and `\delta_2 = 0.35`.
This value enables the cut-off function to exclude unnecessary angles in the three-body SW terms.
.. note::
The cut-off function is just to be used as a technique to exclude some unnecessary angles,
and it has no physical meaning. It should be noted that the force and potential are inconsistent
with each other in the decaying range of the cut-off function, as the angle dependence for the
cut-off function is not implemented in the force (first derivation of potential).
However, the angle variation is much smaller than the given threshhold value for actual simulations,
so the inconsistency between potential and force can be neglected in actual simulations.
Only a single pair_coeff command is used with the *sw* and *sw/mod* styles
which specifies a Stillinger-Weber potential file with parameters for all

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@ -1,104 +0,0 @@
LAMMPS (27 Oct 2021)
OMP_NUM_THREADS environment is not set. Defaulting to 1 thread. (../comm.cpp:98)
using 1 OpenMP thread(s) per MPI task
# monolayer MoS2
units metal
boundary p p f
processors * * 1
atom_style full
read_data single_layer_MoS2.data
Reading data file ...
triclinic box = (0.0000000 0.0000000 -100.00000) to (51.152320 44.299209 100.00000) with tilt (25.576160 0.0000000 0.0000000)
2 by 2 by 1 MPI processor grid
reading atoms ...
768 atoms
Finding 1-2 1-3 1-4 neighbors ...
special bond factors lj: 0 0 0
special bond factors coul: 0 0 0
0 = max # of 1-2 neighbors
0 = max # of 1-3 neighbors
0 = max # of 1-4 neighbors
1 = max # of special neighbors
special bonds CPU = 0.000 seconds
read_data CPU = 0.005 seconds
mass * 32.065 # mass of sulphur atom , uint: a.u.=1.66X10^(-27)kg
mass 1 95.94 # mass of molebdenum atom , uint: a.u.=1.66X10^(-27)kg
########################## Define potentials ################################
pair_style sw/mod
pair_coeff * * tmd.sw.mod Mo S S
Reading sw potential file tmd.sw.mod with DATE: 2018-03-26
#########################################################################
### Simulation settings ####
timestep 0.001
velocity all create 300.0 12345
############################
# Output
thermo 500
thermo_style custom step etotal pe ke temp
thermo_modify lost warn
###### Run molecular dynamics ######
fix thermostat all nve
run 5000
Neighbor list info ...
update every 1 steps, delay 10 steps, check yes
max neighbors/atom: 2000, page size: 100000
master list distance cutoff = 5.158796
ghost atom cutoff = 5.158796
binsize = 2.579398, bins = 30 18 78
1 neighbor lists, perpetual/occasional/extra = 1 0 0
(1) pair sw/mod, perpetual
attributes: full, newton on
pair build: full/bin
stencil: full/bin/3d
bin: standard
Per MPI rank memory allocation (min/avg/max) = 6.360 | 6.360 | 6.360 Mbytes
Step TotEng PotEng KinEng Temp
0 -899.28605 -929.02881 29.742759 300
500 -899.28626 -922.45519 23.168929 233.69313
1000 -899.29247 -925.86547 26.573002 268.02828
1500 -899.27957 -916.95478 17.675214 178.28084
2000 -899.28171 -918.38728 19.105573 192.70814
2500 -899.28732 -922.50423 23.21691 234.17709
3000 -899.28195 -918.74112 19.459174 196.27473
3500 -899.27944 -918.03105 18.751604 189.13784
4000 -899.28397 -920.50737 21.223397 214.06955
4500 -899.28386 -919.79154 20.507685 206.85053
5000 -899.28077 -918.78947 19.508698 196.77425
Loop time of 0.741432 on 4 procs for 5000 steps with 768 atoms
Performance: 582.656 ns/day, 0.041 hours/ns, 6743.708 timesteps/s
99.8% CPU use with 4 MPI tasks x 1 OpenMP threads
MPI task timing breakdown:
Section | min time | avg time | max time |%varavg| %total
---------------------------------------------------------------
Pair | 0.64552 | 0.65764 | 0.66951 | 1.4 | 88.70
Bond | 0.00027894 | 0.00029732 | 0.00031402 | 0.0 | 0.04
Neigh | 0 | 0 | 0 | 0.0 | 0.00
Comm | 0.054789 | 0.066165 | 0.078466 | 4.3 | 8.92
Output | 0.00010959 | 0.00011859 | 0.00013564 | 0.0 | 0.02
Modify | 0.0083096 | 0.0085094 | 0.0087577 | 0.2 | 1.15
Other | | 0.008697 | | | 1.17
Nlocal: 192.000 ave 194 max 190 min
Histogram: 1 0 0 0 0 2 0 0 0 1
Nghost: 194.000 ave 196 max 192 min
Histogram: 1 0 0 0 0 2 0 0 0 1
Neighs: 0.00000 ave 0 max 0 min
Histogram: 4 0 0 0 0 0 0 0 0 0
FullNghs: 5120.00 ave 5170 max 5070 min
Histogram: 1 0 0 0 0 2 0 0 0 1
Total # of neighbors = 20480
Ave neighs/atom = 26.666667
Ave special neighs/atom = 0.0000000
Neighbor list builds = 0
Dangerous builds = 0
Total wall time: 0:00:00

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@ -1,781 +0,0 @@
Single layer MoS2
768 atoms
3 atom types
0.0000000000000000 51.1523200000000177 xlo xhi
0.0000000000000000 44.2992085825108320 ylo yhi
-100.0000000000000000 100.0000000000000000 zlo zhi
25.5761600000000088 0.0000000000000000 0.0000000000000000 xy xz yz
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761 1 3 -0.26 68.735930000000024 35.993106973290051 1.596930000000000
762 1 1 0.52 68.735930000000024 37.838907330894669 0.000000000000000
763 1 2 -0.26 70.334440000000024 38.761807509696978 -1.596930000000000
764 1 3 -0.26 70.334440000000024 38.761807509696978 1.596930000000000
765 1 1 0.52 70.334440000000024 40.607607867301596 0.000000000000000
766 1 2 -0.26 71.932950000000025 41.530508046103905 -1.596930000000000
767 1 3 -0.26 71.932950000000025 41.530508046103905 1.596930000000000
768 1 1 0.52 71.932950000000025 43.376308403708523 0.000000000000000

View File

@ -1 +0,0 @@
../../potentials/tmd.sw.mod

View File

@ -3,7 +3,7 @@ units metal
boundary p p f
processors * * 1
atom_style full
atom_style atomic
read_data single_layer_MoS2.data
mass * 32.065 # mass of sulphur atom , uint: a.u.=1.66X10^(-27)kg

View File

@ -4,22 +4,14 @@ units metal
boundary p p f
processors * * 1
atom_style full
atom_style atomic
read_data single_layer_MoS2.data
Reading data file ...
triclinic box = (0.0000000 0.0000000 -100.00000) to (51.152320 44.299209 100.00000) with tilt (25.576160 0.0000000 0.0000000)
1 by 1 by 1 MPI processor grid
reading atoms ...
768 atoms
Finding 1-2 1-3 1-4 neighbors ...
special bond factors lj: 0 0 0
special bond factors coul: 0 0 0
0 = max # of 1-2 neighbors
0 = max # of 1-3 neighbors
0 = max # of 1-4 neighbors
1 = max # of special neighbors
special bonds CPU = 0.001 seconds
read_data CPU = 0.009 seconds
read_data CPU = 0.043 seconds
mass * 32.065 # mass of sulphur atom , uint: a.u.=1.66X10^(-27)kg
mass 1 95.94 # mass of molebdenum atom , uint: a.u.=1.66X10^(-27)kg
@ -53,10 +45,10 @@ Neighbor list info ...
1 neighbor lists, perpetual/occasional/extra = 1 0 0
(1) pair sw/mod, perpetual
attributes: full, newton on
pair build: full/bin
pair build: full/bin/atomonly
stencil: full/bin/3d
bin: standard
Per MPI rank memory allocation (min/avg/max) = 6.538 | 6.538 | 6.538 Mbytes
Per MPI rank memory allocation (min/avg/max) = 3.466 | 3.466 | 3.466 Mbytes
Step TotEng PotEng KinEng Temp
0 -899.28605 -929.02881 29.742759 300
500 -899.28626 -922.45519 23.168929 233.69313
@ -69,21 +61,20 @@ Step TotEng PotEng KinEng Temp
4000 -899.28397 -920.50737 21.223397 214.06955
4500 -899.28386 -919.79154 20.507685 206.85053
5000 -899.28077 -918.78947 19.508698 196.77425
Loop time of 3.13658 on 1 procs for 5000 steps with 768 atoms
Loop time of 5.84317 on 1 procs for 5000 steps with 768 atoms
Performance: 137.730 ns/day, 0.174 hours/ns, 1594.094 timesteps/s
100.0% CPU use with 1 MPI tasks x no OpenMP threads
Performance: 73.932 ns/day, 0.325 hours/ns, 855.700 timesteps/s
99.8% CPU use with 1 MPI tasks x no OpenMP threads
MPI task timing breakdown:
Section | min time | avg time | max time |%varavg| %total
---------------------------------------------------------------
Pair | 3.0504 | 3.0504 | 3.0504 | 0.0 | 97.25
Bond | 0.00073783 | 0.00073783 | 0.00073783 | 0.0 | 0.02
Pair | 5.6796 | 5.6796 | 5.6796 | 0.0 | 97.20
Neigh | 0 | 0 | 0 | 0.0 | 0.00
Comm | 0.013033 | 0.013033 | 0.013033 | 0.0 | 0.42
Output | 0.00081458 | 0.00081458 | 0.00081458 | 0.0 | 0.03
Modify | 0.048235 | 0.048235 | 0.048235 | 0.0 | 1.54
Other | | 0.02334 | | | 0.74
Comm | 0.026354 | 0.026354 | 0.026354 | 0.0 | 0.45
Output | 0.0014959 | 0.0014959 | 0.0014959 | 0.0 | 0.03
Modify | 0.090437 | 0.090437 | 0.090437 | 0.0 | 1.55
Other | | 0.04524 | | | 0.77
Nlocal: 768.000 ave 768 max 768 min
Histogram: 1 0 0 0 0 0 0 0 0 0
@ -96,7 +87,6 @@ Histogram: 1 0 0 0 0 0 0 0 0 0
Total # of neighbors = 20480
Ave neighs/atom = 26.666667
Ave special neighs/atom = 0.0000000
Neighbor list builds = 0
Dangerous builds = 0
Total wall time: 0:00:03
Total wall time: 0:00:06

View File

@ -0,0 +1,781 @@
Single layer MoS2
768 atoms
3 atom types
0.0000000000000000 51.1523200000000177 xlo xhi
0.0000000000000000 44.2992085825108320 ylo yhi
-100.0000000000000000 100.0000000000000000 zlo zhi
25.5761600000000088 0.0000000000000000 0.0000000000000000 xy xz yz
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618 1 59.144870000000020 37.838907330894669 0.000000000000000
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621 1 60.743380000000021 40.607607867301596 0.000000000000000
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623 3 62.341890000000022 41.530508046103905 1.596930000000000
624 1 62.341890000000022 43.376308403708523 0.000000000000000
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627 1 41.561260000000014 1.845800357604618 0.000000000000000
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630 1 43.159770000000015 4.614500894011545 0.000000000000000
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632 3 44.758280000000015 5.537401072813854 1.596930000000000
633 1 44.758280000000015 7.383201430418472 0.000000000000000
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635 3 46.356790000000016 8.306101609220781 1.596930000000000
636 1 46.356790000000016 10.151901966825399 0.000000000000000
637 2 47.955300000000017 11.074802145627708 -1.596930000000000
638 3 47.955300000000017 11.074802145627708 1.596930000000000
639 1 47.955300000000017 12.920602503232326 0.000000000000000
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641 3 49.553810000000017 13.843502682034635 1.596930000000000
642 1 49.553810000000017 15.689303039639253 0.000000000000000
643 2 51.152320000000018 16.612203218441562 -1.596930000000000
644 3 51.152320000000018 16.612203218441562 1.596930000000000
645 1 51.152320000000018 18.458003576046180 0.000000000000000
646 2 52.750830000000018 19.380903754848489 -1.596930000000000
647 3 52.750830000000018 19.380903754848489 1.596930000000000
648 1 52.750830000000018 21.226704112453107 0.000000000000000
649 2 54.349340000000019 22.149604291255416 -1.596930000000000
650 3 54.349340000000019 22.149604291255416 1.596930000000000
651 1 54.349340000000019 23.995404648860034 0.000000000000000
652 2 55.947850000000019 24.918304827662343 -1.596930000000000
653 3 55.947850000000019 24.918304827662343 1.596930000000000
654 1 55.947850000000019 26.764105185266961 0.000000000000000
655 2 57.546360000000020 27.687005364069270 -1.596930000000000
656 3 57.546360000000020 27.687005364069270 1.596930000000000
657 1 57.546360000000020 29.532805721673888 0.000000000000000
658 2 59.144870000000020 30.455705900476197 -1.596930000000000
659 3 59.144870000000020 30.455705900476197 1.596930000000000
660 1 59.144870000000020 32.301506258080815 0.000000000000000
661 2 60.743380000000021 33.224406436883124 -1.596930000000000
662 3 60.743380000000021 33.224406436883124 1.596930000000000
663 1 60.743380000000021 35.070206794487742 0.000000000000000
664 2 62.341890000000022 35.993106973290051 -1.596930000000000
665 3 62.341890000000022 35.993106973290051 1.596930000000000
666 1 62.341890000000022 37.838907330894669 0.000000000000000
667 2 63.940400000000022 38.761807509696978 -1.596930000000000
668 3 63.940400000000022 38.761807509696978 1.596930000000000
669 1 63.940400000000022 40.607607867301596 0.000000000000000
670 2 65.538910000000023 41.530508046103905 -1.596930000000000
671 3 65.538910000000023 41.530508046103905 1.596930000000000
672 1 65.538910000000023 43.376308403708523 0.000000000000000
673 2 44.758280000000015 0.000000000000000 -1.596930000000000
674 3 44.758280000000015 0.000000000000000 1.596930000000000
675 1 44.758280000000015 1.845800357604618 0.000000000000000
676 2 46.356790000000016 2.768700536406927 -1.596930000000000
677 3 46.356790000000016 2.768700536406927 1.596930000000000
678 1 46.356790000000016 4.614500894011545 0.000000000000000
679 2 47.955300000000017 5.537401072813854 -1.596930000000000
680 3 47.955300000000017 5.537401072813854 1.596930000000000
681 1 47.955300000000017 7.383201430418472 0.000000000000000
682 2 49.553810000000017 8.306101609220781 -1.596930000000000
683 3 49.553810000000017 8.306101609220781 1.596930000000000
684 1 49.553810000000017 10.151901966825399 0.000000000000000
685 2 51.152320000000018 11.074802145627708 -1.596930000000000
686 3 51.152320000000018 11.074802145627708 1.596930000000000
687 1 51.152320000000018 12.920602503232326 0.000000000000000
688 2 52.750830000000018 13.843502682034635 -1.596930000000000
689 3 52.750830000000018 13.843502682034635 1.596930000000000
690 1 52.750830000000018 15.689303039639253 0.000000000000000
691 2 54.349340000000019 16.612203218441562 -1.596930000000000
692 3 54.349340000000019 16.612203218441562 1.596930000000000
693 1 54.349340000000019 18.458003576046180 0.000000000000000
694 2 55.947850000000019 19.380903754848489 -1.596930000000000
695 3 55.947850000000019 19.380903754848489 1.596930000000000
696 1 55.947850000000019 21.226704112453107 0.000000000000000
697 2 57.546360000000020 22.149604291255416 -1.596930000000000
698 3 57.546360000000020 22.149604291255416 1.596930000000000
699 1 57.546360000000020 23.995404648860034 0.000000000000000
700 2 59.144870000000020 24.918304827662343 -1.596930000000000
701 3 59.144870000000020 24.918304827662343 1.596930000000000
702 1 59.144870000000020 26.764105185266961 0.000000000000000
703 2 60.743380000000021 27.687005364069270 -1.596930000000000
704 3 60.743380000000021 27.687005364069270 1.596930000000000
705 1 60.743380000000021 29.532805721673888 0.000000000000000
706 2 62.341890000000022 30.455705900476197 -1.596930000000000
707 3 62.341890000000022 30.455705900476197 1.596930000000000
708 1 62.341890000000022 32.301506258080815 0.000000000000000
709 2 63.940400000000022 33.224406436883124 -1.596930000000000
710 3 63.940400000000022 33.224406436883124 1.596930000000000
711 1 63.940400000000022 35.070206794487742 0.000000000000000
712 2 65.538910000000023 35.993106973290051 -1.596930000000000
713 3 65.538910000000023 35.993106973290051 1.596930000000000
714 1 65.538910000000023 37.838907330894669 0.000000000000000
715 2 67.137420000000023 38.761807509696978 -1.596930000000000
716 3 67.137420000000023 38.761807509696978 1.596930000000000
717 1 67.137420000000023 40.607607867301596 0.000000000000000
718 2 68.735930000000024 41.530508046103905 -1.596930000000000
719 3 68.735930000000024 41.530508046103905 1.596930000000000
720 1 68.735930000000024 43.376308403708523 0.000000000000000
721 2 47.955300000000017 0.000000000000000 -1.596930000000000
722 3 47.955300000000017 0.000000000000000 1.596930000000000
723 1 47.955300000000017 1.845800357604618 0.000000000000000
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725 3 49.553810000000017 2.768700536406927 1.596930000000000
726 1 49.553810000000017 4.614500894011545 0.000000000000000
727 2 51.152320000000018 5.537401072813854 -1.596930000000000
728 3 51.152320000000018 5.537401072813854 1.596930000000000
729 1 51.152320000000018 7.383201430418472 0.000000000000000
730 2 52.750830000000018 8.306101609220781 -1.596930000000000
731 3 52.750830000000018 8.306101609220781 1.596930000000000
732 1 52.750830000000018 10.151901966825399 0.000000000000000
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735 1 54.349340000000019 12.920602503232326 0.000000000000000
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737 3 55.947850000000019 13.843502682034635 1.596930000000000
738 1 55.947850000000019 15.689303039639253 0.000000000000000
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740 3 57.546360000000020 16.612203218441562 1.596930000000000
741 1 57.546360000000020 18.458003576046180 0.000000000000000
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744 1 59.144870000000020 21.226704112453107 0.000000000000000
745 2 60.743380000000021 22.149604291255416 -1.596930000000000
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747 1 60.743380000000021 23.995404648860034 0.000000000000000
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750 1 62.341890000000022 26.764105185266961 0.000000000000000
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752 3 63.940400000000022 27.687005364069270 1.596930000000000
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768 1 71.932950000000025 43.376308403708523 0.000000000000000

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examples/threebody/tmd.sw.mod Symbolic link
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# DATE: 2018-03-26 UNITS: metal CONTRIBUTOR: Jin-Wu Jiang jwjiang5918@hotmail.com
# CITATION: J.-W. Jiang, Acta Mech. Solida. Sin 32, 17 (2019).
# The Stillinger-Weber parameters, for transition-metal dichalcogenide (TMD) lateral heterostructures.
# M = Mo, W; X = S, Se, Te
# these entries are in LAMMPS "metal" units:
# epsilon = eV; sigma = Angstroms
# other quantities are unitless
# format of a single entry (one or more lines):
# element 1, element 2, element 3,
# epsilon, sigma, a, lambda, gamma, costheta0, A, B, p, q, tol
# M-X-X terms
Mo S S 1.000 1.252 2.523 67.883 1.000 0.143 6.918 7.223 4 0 0.0
Mo Se Se 1.000 0.913 3.672 32.526 1.000 0.143 5.737 27.084 4 0 0.0
Mo Te Te 1.000 0.880 4.097 23.705 1.000 0.143 5.086 40.810 4 0 0.0
W S S 1.000 0.889 3.558 37.687 1.000 0.143 5.664 24.525 4 0 0.0
W Se Se 1.000 0.706 4.689 25.607 1.000 0.143 5.476 65.662 4 0 0.0
W Te Te 1.000 0.778 4.632 21.313 1.000 0.143 4.326 62.148 4 0 0.0
# X-M-M terms
S Mo Mo 1.000 1.252 2.523 62.449 1.000 0.143 6.918 7.223 4 0 0.0
S W W 1.000 0.889 3.558 33.553 1.000 0.143 5.664 24.525 4 0 0.0
Se Mo Mo 1.000 0.913 3.672 27.079 1.000 0.143 5.737 27.084 4 0 0.0
Se W W 1.000 0.706 4.689 23.218 1.000 0.143 5.476 65.662 4 0 0.0
Te Mo Mo 1.000 0.880 4.097 20.029 1.000 0.143 5.086 40.810 4 0 0.0
Te W W 1.000 0.778 4.632 17.370 1.000 0.143 4.326 62.148 4 0 0.0
# M-X1-X2 terms
Mo S Se 1.000 0.000 0.000 46.989 1.000 0.143 0.000 0.000 4 0 0.0
Mo S Te 1.000 0.000 0.000 40.114 1.000 0.143 0.000 0.000 4 0 0.0
Mo Se S 1.000 0.000 0.000 46.989 1.000 0.143 0.000 0.000 4 0 0.0
Mo Se Te 1.000 0.000 0.000 27.767 1.000 0.143 0.000 0.000 4 0 0.0
Mo Te S 1.000 0.000 0.000 40.114 1.000 0.143 0.000 0.000 4 0 0.0
Mo Te Se 1.000 0.000 0.000 27.767 1.000 0.143 0.000 0.000 4 0 0.0
W S Se 1.000 0.000 0.000 31.065 1.000 0.143 0.000 0.000 4 0 0.0
W S Te 1.000 0.000 0.000 28.341 1.000 0.143 0.000 0.000 4 0 0.0
W Se S 1.000 0.000 0.000 31.065 1.000 0.143 0.000 0.000 4 0 0.0
W Se Te 1.000 0.000 0.000 23.362 1.000 0.143 0.000 0.000 4 0 0.0
W Te S 1.000 0.000 0.000 28.341 1.000 0.143 0.000 0.000 4 0 0.0
W Te Se 1.000 0.000 0.000 23.362 1.000 0.143 0.000 0.000 4 0 0.0
# X-M1-M2 terms
S Mo W 1.000 0.000 0.000 45.775 1.000 0.143 0.000 0.000 4 0 0.0
S W Mo 1.000 0.000 0.000 45.775 1.000 0.143 0.000 0.000 4 0 0.0
Se Mo W 1.000 0.000 0.000 25.074 1.000 0.143 0.000 0.000 4 0 0.0
Se W Mo 1.000 0.000 0.000 25.074 1.000 0.143 0.000 0.000 4 0 0.0
Te Mo W 1.000 0.000 0.000 18.652 1.000 0.143 0.000 0.000 4 0 0.0
Te W Mo 1.000 0.000 0.000 18.652 1.000 0.143 0.000 0.000 4 0 0.0
# zero terms
Mo Mo Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Mo Mo W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Mo Mo S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Mo Mo Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Mo Mo Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Mo W Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Mo W W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Mo W S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Mo W Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Mo W Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Mo S Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Mo S W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Mo Se Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Mo Se W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Mo Te Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Mo Te W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
W Mo Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
W Mo W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
W Mo S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
W Mo Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
W Mo Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
W W Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
W W W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
W W S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
W W Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
W W Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
W S Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
W S W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
W Se Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
W Se W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
W Te Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
W Te W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S Mo S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S Mo Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S Mo Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S W S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S W Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S W Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S S Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S S W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S S S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S S Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S S Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S Se Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S Se W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S Se S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S Se Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S Se Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S Te Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S Te W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S Te S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S Te Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
S Te Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se Mo S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se Mo Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se Mo Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se W S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se W Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se W Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se S Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se S W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se S S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se S Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se S Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se Se Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se Se W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se Se S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se Se Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se Se Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se Te Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se Te W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se Te S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se Te Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Se Te Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te Mo S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te Mo Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te Mo Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te W S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te W Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te W Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te S Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te S W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te S S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te S Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te S Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te Se Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te Se W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te Se S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te Se Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te Se Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te Te Mo 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te Te W 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te Te S 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te Te Se 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0
Te Te Te 0.000 1.000 1.000 1.000 1.000 0.143 1.000 1.000 4 0 0.0