|
| 1 | +LAMMPS (10 Sep 2025 - Development - patch_10Sep2025-520-gd2199aa57b-modified) |
| 2 | +OMP_NUM_THREADS environment is not set. Defaulting to 1 thread. |
| 3 | + using 1 OpenMP thread(s) per MPI task |
| 4 | +# Analytical calculation |
| 5 | +# of Born matrix |
| 6 | + |
| 7 | +# Note that because of cubic symmetry and central forces, we have: |
| 8 | +# C11, pure axial == positive mean value: 1,2,3 |
| 9 | +# C44==C23, pure shear == positive mean value, exactly match in pairs: (4,12),(5,8),(6,7) |
| 10 | +# C14==C56, shear/axial(normal) == zero mean, exactly match in pairs: (9,21),(14,20),(18,19) |
| 11 | +# C15, shear/axial(in-plane) == zero mean: 10,11,13,15,16,17 |
| 12 | + |
| 13 | +# adjustable parameters |
| 14 | + |
| 15 | +units real |
| 16 | +variable nsteps index 10000 # length of run |
| 17 | +variable nthermo index 1000 # thermo output interval |
| 18 | +variable nlat equal 5 # size of box |
| 19 | +variable T equal 60. # Temperature in K |
| 20 | +variable rho equal 5.405 # Lattice spacing in A |
| 21 | + |
| 22 | +atom_style atomic |
| 23 | + |
| 24 | +lattice fcc ${rho} |
| 25 | +lattice fcc 5.405 |
| 26 | +Lattice spacing in x,y,z = 5.405 5.405 5.405 |
| 27 | +region box block 0 ${nlat} 0 ${nlat} 0 ${nlat} |
| 28 | +region box block 0 5 0 ${nlat} 0 ${nlat} |
| 29 | +region box block 0 5 0 5 0 ${nlat} |
| 30 | +region box block 0 5 0 5 0 5 |
| 31 | +create_box 1 box |
| 32 | +Created orthogonal box = (0 0 0) to (27.025 27.025 27.025) |
| 33 | + 1 by 1 by 1 MPI processor grid |
| 34 | +create_atoms 1 box |
| 35 | +Created 500 atoms |
| 36 | + using lattice units in orthogonal box = (0 0 0) to (27.025 27.025 27.025) |
| 37 | + create_atoms CPU = 0.000 seconds |
| 38 | + |
| 39 | +mass * 39.948 |
| 40 | + |
| 41 | +velocity all create ${T} 87287 loop geom |
| 42 | +velocity all create 60 87287 loop geom |
| 43 | +velocity all zero linear |
| 44 | + |
| 45 | +pair_style lj/cut 12.0 |
| 46 | +pair_coeff 1 1 0.238067 3.405 |
| 47 | + |
| 48 | +neighbor 0.0 bin |
| 49 | +neigh_modify every 1 delay 0 check no |
| 50 | + |
| 51 | +variable vol equal vol |
| 52 | +thermo 100 |
| 53 | +fix aL all ave/time 1 1 1 v_vol ave running |
| 54 | +fix NPT all npt temp $T $T 100 aniso 1. 1. 1000 fixedpoint 0. 0. 0. |
| 55 | +fix NPT all npt temp 60 $T 100 aniso 1. 1. 1000 fixedpoint 0. 0. 0. |
| 56 | +fix NPT all npt temp 60 60 100 aniso 1. 1. 1000 fixedpoint 0. 0. 0. |
| 57 | + |
| 58 | +run 2000 |
| 59 | +Generated 0 of 0 mixed pair_coeff terms from geometric mixing rule |
| 60 | +Neighbor list info ... |
| 61 | + update: every = 1 steps, delay = 0 steps, check = no |
| 62 | + max neighbors/atom: 2000, page size: 100000 |
| 63 | + master list distance cutoff = 12 |
| 64 | + ghost atom cutoff = 12 |
| 65 | + binsize = 6, bins = 5 5 5 |
| 66 | + 1 neighbor lists, perpetual/occasional/extra = 1 0 0 |
| 67 | + (1) pair lj/cut, perpetual |
| 68 | + attributes: half, newton on |
| 69 | + pair build: half/bin/atomonly/newton |
| 70 | + stencil: half/bin/3d |
| 71 | + bin: standard |
| 72 | +Per MPI rank memory allocation (min/avg/max) = 2.695 | 2.695 | 2.695 Mbytes |
| 73 | + Step Temp E_pair E_mol TotEng Press Volume |
| 74 | + 0 60 -974.97988 0 -885.73443 -1549.5634 19737.726 |
| 75 | + 100 33.504753 -943.70789 0 -893.87211 968.3116 18369.007 |
| 76 | + 200 26.32504 -930.72444 0 -891.56794 314.3869 18935.888 |
| 77 | + 300 41.132299 -931.36826 0 -870.18708 -617.04719 19632.688 |
| 78 | + 400 41.183387 -912.49497 0 -851.2378 485.3659 19105.509 |
| 79 | + 500 57.063649 -914.95616 0 -830.07831 10.213449 19451.639 |
| 80 | + 600 57.720228 -897.82416 0 -811.96969 -122.66415 19794.9 |
| 81 | + 700 55.117494 -878.27174 0 -796.28864 169.40743 19853.365 |
| 82 | + 800 65.753909 -877.79094 0 -779.98698 -140.35502 20145.428 |
| 83 | + 900 61.5708 -870.58334 0 -779.00144 -6.2782272 20132.09 |
| 84 | + 1000 59.71058 -873.44425 0 -784.62929 18.589753 20063.414 |
| 85 | + 1100 59.887921 -878.67927 0 -789.60053 -53.049476 20034.152 |
| 86 | + 1200 59.121142 -881.97593 0 -794.03771 31.110495 19909.638 |
| 87 | + 1300 60.931065 -887.19784 0 -796.5675 6.5972135 19859.309 |
| 88 | + 1400 60.086091 -890.68151 0 -801.308 -26.605388 19827.013 |
| 89 | + 1500 58.240958 -892.81245 0 -806.18344 32.781814 19743.494 |
| 90 | + 1600 59.997061 -896.10853 0 -806.86745 1.8694388 19731.408 |
| 91 | + 1700 62.500416 -900.56177 0 -807.59714 -58.405946 19717.51 |
| 92 | + 1800 60.950957 -905.28688 0 -814.62695 13.287333 19580.499 |
| 93 | + 1900 57.643425 -908.35702 0 -822.61679 80.300088 19476.931 |
| 94 | + 2000 54.860033 -904.52282 0 -822.92268 28.955012 19564.956 |
| 95 | +Loop time of 3.77963 on 1 procs for 2000 steps with 500 atoms |
| 96 | + |
| 97 | +Performance: 45.719 ns/day, 0.525 hours/ns, 529.153 timesteps/s, 264.576 katom-step/s |
| 98 | +100.0% CPU use with 1 MPI tasks x 1 OpenMP threads |
| 99 | + |
| 100 | +MPI task timing breakdown: |
| 101 | +Section | min time | avg time | max time |%varavg| %total |
| 102 | +--------------------------------------------------------------- |
| 103 | +Pair | 1.4902 | 1.4902 | 1.4902 | 0.0 | 39.43 |
| 104 | +Neigh | 2.1869 | 2.1869 | 2.1869 | 0.0 | 57.86 |
| 105 | +Comm | 0.062232 | 0.062232 | 0.062232 | 0.0 | 1.65 |
| 106 | +Output | 0.00039628 | 0.00039628 | 0.00039628 | 0.0 | 0.01 |
| 107 | +Modify | 0.030281 | 0.030281 | 0.030281 | 0.0 | 0.80 |
| 108 | +Other | | 0.009542 | | | 0.25 |
| 109 | + |
| 110 | +Nlocal: 500 ave 500 max 500 min |
| 111 | +Histogram: 1 0 0 0 0 0 0 0 0 0 |
| 112 | +Nghost: 2930 ave 2930 max 2930 min |
| 113 | +Histogram: 1 0 0 0 0 0 0 0 0 0 |
| 114 | +Neighs: 46401 ave 46401 max 46401 min |
| 115 | +Histogram: 1 0 0 0 0 0 0 0 0 0 |
| 116 | + |
| 117 | +Total # of neighbors = 46401 |
| 118 | +Ave neighs/atom = 92.802 |
| 119 | +Neighbor list builds = 2000 |
| 120 | +Dangerous builds not checked |
| 121 | + |
| 122 | +unfix NPT |
| 123 | + |
| 124 | +variable newL equal "f_aL^(1./3.)" |
| 125 | +change_box all x final 0 ${newL} y final 0. ${newL} z final 0. ${newL} remap units box |
| 126 | +change_box all x final 0 26.9850129540338 y final 0. ${newL} z final 0. ${newL} remap units box |
| 127 | +change_box all x final 0 26.9850129540338 y final 0. 26.9850129540338 z final 0. ${newL} remap units box |
| 128 | +change_box all x final 0 26.9850129540338 y final 0. 26.9850129540338 z final 0. 26.9850129540338 remap units box |
| 129 | +Changing box ... |
| 130 | + orthogonal box = (0 0 0) to (26.985013 26.94049 27.008247) |
| 131 | + orthogonal box = (0 0 0) to (26.985013 26.985013 27.008247) |
| 132 | + orthogonal box = (0 0 0) to (26.985013 26.985013 26.985013) |
| 133 | + |
| 134 | +unfix aL |
| 135 | + |
| 136 | +reset_timestep 0 |
| 137 | + |
| 138 | +# Conversion variables |
| 139 | +variable kb equal 1.38065e-23 # J/K |
| 140 | +variable Myvol equal "vol*10^-30" # Volume in m^3 |
| 141 | +variable kbt equal "v_kb*v_T" |
| 142 | +variable Nat equal atoms |
| 143 | +variable Rhokbt equal "v_kbt*v_Nat/v_Myvol" |
| 144 | +variable at2Pa equal 101325 |
| 145 | +variable kcalmol2J equal "4183.9954/(6.022e23)" |
| 146 | +variable C1 equal "v_kcalmol2J/v_Myvol" # Convert Cb from energy to pressure units |
| 147 | +variable C2 equal "v_Myvol/v_kbt" # Factor for Cfl terms |
| 148 | +variable Pa2GPa equal 1e-9 |
| 149 | + |
| 150 | +# Born compute giving <C^b> terms |
| 151 | +compute born all born/matrix |
| 152 | +# The six virial stress component to compute <C^fl> |
| 153 | +compute VIR all pressure NULL virial |
| 154 | +variable s1 equal "-c_VIR[1]*v_at2Pa" |
| 155 | +variable s2 equal "-c_VIR[2]*v_at2Pa" |
| 156 | +variable s3 equal "-c_VIR[3]*v_at2Pa" |
| 157 | +variable s6 equal "-c_VIR[4]*v_at2Pa" |
| 158 | +variable s5 equal "-c_VIR[5]*v_at2Pa" |
| 159 | +variable s4 equal "-c_VIR[6]*v_at2Pa" |
| 160 | +variable press equal press |
| 161 | + |
| 162 | + |
| 163 | +# Average of Born term and vector to store stress |
| 164 | +# for post processing |
| 165 | +fix CB all ave/time 1 ${nthermo} ${nthermo} c_born[*] ave running file born.out overwrite |
| 166 | +fix CB all ave/time 1 1000 ${nthermo} c_born[*] ave running file born.out overwrite |
| 167 | +fix CB all ave/time 1 1000 1000 c_born[*] ave running file born.out overwrite |
| 168 | +fix CPR all ave/time 1 1 1 c_VIR[*] file vir.out |
| 169 | +fix APR all ave/time 1 1 1 v_press ave running |
| 170 | +fix VEC all vector 1 v_s1 v_s2 v_s3 v_s4 v_s5 v_s6 |
| 171 | + |
| 172 | +thermo ${nthermo} |
| 173 | +thermo 1000 |
| 174 | +thermo_style custom step temp press f_APR c_born[1] f_CB[1] c_born[12] f_CB[12] c_born[4] f_CB[4] |
| 175 | +thermo_modify line multi |
| 176 | + |
| 177 | +fix 1 all nvt temp $T $T 100 |
| 178 | +fix 1 all nvt temp 60 $T 100 |
| 179 | +fix 1 all nvt temp 60 60 100 |
| 180 | + |
| 181 | +run ${nsteps} |
| 182 | +run 10000 |
| 183 | +Generated 0 of 0 mixed pair_coeff terms from geometric mixing rule |
| 184 | +Neighbor list info ... |
| 185 | + update: every = 1 steps, delay = 0 steps, check = no |
| 186 | + max neighbors/atom: 2000, page size: 100000 |
| 187 | + master list distance cutoff = 12 |
| 188 | + ghost atom cutoff = 12 |
| 189 | + binsize = 6, bins = 5 5 5 |
| 190 | + 2 neighbor lists, perpetual/occasional/extra = 1 1 0 |
| 191 | + (1) pair lj/cut, perpetual |
| 192 | + attributes: half, newton on |
| 193 | + pair build: half/bin/atomonly/newton |
| 194 | + stencil: half/bin/3d |
| 195 | + bin: standard |
| 196 | + (2) compute born/matrix, occasional |
| 197 | + attributes: full, newton on |
| 198 | + pair build: full/bin/atomonly |
| 199 | + stencil: full/bin/3d |
| 200 | + bin: standard |
| 201 | +Per MPI rank memory allocation (min/avg/max) = 3.326 | 3.326 | 3.326 Mbytes |
| 202 | +------------ Step 0 ----- CPU = 0 (sec) ------------- |
| 203 | +Step = 0 Temp = 54.8600 Press = -74.9874 |
| 204 | +f_APR = -74.9874 c_born[1] = 9269.2848 f_CB[1] = 0.0000 |
| 205 | +c_born[12] = 5315.9657 f_CB[12] = 0.0000 c_born[4] = 5315.9657 |
| 206 | +f_CB[4] = 0.0000 |
| 207 | +------------ Step 1000 ----- CPU = 9.120759 (sec) ------------- |
| 208 | +Step = 1000 Temp = 56.1005 Press = 93.2723 |
| 209 | +f_APR = 104.8993 c_born[1] = 9899.7837 f_CB[1] = 9738.6101 |
| 210 | +c_born[12] = 5515.1091 f_CB[12] = 5497.0605 c_born[4] = 5515.1091 |
| 211 | +f_CB[4] = 5497.0605 |
| 212 | +------------ Step 2000 ----- CPU = 18.76019 (sec) ------------- |
| 213 | +Step = 2000 Temp = 59.2245 Press = 164.2019 |
| 214 | +f_APR = 90.3569 c_born[1] = 10127.7921 f_CB[1] = 9762.5811 |
| 215 | +c_born[12] = 5582.5570 f_CB[12] = 5512.1775 c_born[4] = 5582.5570 |
| 216 | +f_CB[4] = 5512.1775 |
| 217 | +------------ Step 3000 ----- CPU = 27.88892 (sec) ------------- |
| 218 | +Step = 3000 Temp = 62.3421 Press = 138.9920 |
| 219 | +f_APR = 103.8105 c_born[1] = 9784.0632 f_CB[1] = 9805.4617 |
| 220 | +c_born[12] = 5558.8869 f_CB[12] = 5514.3234 c_born[4] = 5558.8869 |
| 221 | +f_CB[4] = 5514.3234 |
| 222 | +------------ Step 4000 ----- CPU = 36.92665 (sec) ------------- |
| 223 | +Step = 4000 Temp = 58.1487 Press = 136.4624 |
| 224 | +f_APR = 107.3823 c_born[1] = 9996.9126 f_CB[1] = 9821.2552 |
| 225 | +c_born[12] = 5439.8328 f_CB[12] = 5518.8966 c_born[4] = 5439.8328 |
| 226 | +f_CB[4] = 5518.8966 |
| 227 | +------------ Step 5000 ----- CPU = 45.77529 (sec) ------------- |
| 228 | +Step = 5000 Temp = 60.3351 Press = -21.9127 |
| 229 | +f_APR = 101.0136 c_born[1] = 9631.2101 f_CB[1] = 9798.9441 |
| 230 | +c_born[12] = 5352.0607 f_CB[12] = 5519.0345 c_born[4] = 5352.0607 |
| 231 | +f_CB[4] = 5519.0345 |
| 232 | +------------ Step 6000 ----- CPU = 54.63388 (sec) ------------- |
| 233 | +Step = 6000 Temp = 57.7282 Press = 157.6900 |
| 234 | +f_APR = 100.3234 c_born[1] = 10030.8342 f_CB[1] = 9800.1967 |
| 235 | +c_born[12] = 5740.8579 f_CB[12] = 5521.0716 c_born[4] = 5740.8579 |
| 236 | +f_CB[4] = 5521.0716 |
| 237 | +------------ Step 7000 ----- CPU = 63.63728 (sec) ------------- |
| 238 | +Step = 7000 Temp = 59.5948 Press = 135.9651 |
| 239 | +f_APR = 101.9810 c_born[1] = 10058.4542 f_CB[1] = 9817.6242 |
| 240 | +c_born[12] = 5511.2599 f_CB[12] = 5521.8274 c_born[4] = 5511.2599 |
| 241 | +f_CB[4] = 5521.8274 |
| 242 | +------------ Step 8000 ----- CPU = 73.14265 (sec) ------------- |
| 243 | +Step = 8000 Temp = 61.7547 Press = 41.1860 |
| 244 | +f_APR = 105.3152 c_born[1] = 9554.9451 f_CB[1] = 9830.6704 |
| 245 | +c_born[12] = 5292.0749 f_CB[12] = 5520.3055 c_born[4] = 5292.0749 |
| 246 | +f_CB[4] = 5520.3055 |
| 247 | +------------ Step 9000 ----- CPU = 82.2176 (sec) ------------- |
| 248 | +Step = 9000 Temp = 59.2478 Press = 146.6808 |
| 249 | +f_APR = 104.7030 c_born[1] = 9860.2050 f_CB[1] = 9823.1198 |
| 250 | +c_born[12] = 5543.4620 f_CB[12] = 5518.4889 c_born[4] = 5543.4620 |
| 251 | +f_CB[4] = 5518.4889 |
| 252 | +------------ Step 10000 ----- CPU = 91.68689 (sec) ------------- |
| 253 | +Step = 10000 Temp = 59.4645 Press = 96.1963 |
| 254 | +f_APR = 107.2322 c_born[1] = 9779.2285 f_CB[1] = 9836.0535 |
| 255 | +c_born[12] = 5617.0229 f_CB[12] = 5525.6584 c_born[4] = 5617.0229 |
| 256 | +f_CB[4] = 5525.6584 |
| 257 | +Loop time of 91.6869 on 1 procs for 10000 steps with 500 atoms |
| 258 | + |
| 259 | +Performance: 9.423 ns/day, 2.547 hours/ns, 109.067 timesteps/s, 54.533 katom-step/s |
| 260 | +99.3% CPU use with 1 MPI tasks x 1 OpenMP threads |
| 261 | + |
| 262 | +MPI task timing breakdown: |
| 263 | +Section | min time | avg time | max time |%varavg| %total |
| 264 | +--------------------------------------------------------------- |
| 265 | +Pair | 7.8446 | 7.8446 | 7.8446 | 0.0 | 8.56 |
| 266 | +Neigh | 11.559 | 11.559 | 11.559 | 0.0 | 12.61 |
| 267 | +Comm | 0.37942 | 0.37942 | 0.37942 | 0.0 | 0.41 |
| 268 | +Output | 0.047699 | 0.047699 | 0.047699 | 0.0 | 0.05 |
| 269 | +Modify | 71.807 | 71.807 | 71.807 | 0.0 | 78.32 |
| 270 | +Other | | 0.04957 | | | 0.05 |
| 271 | + |
| 272 | +Nlocal: 500 ave 500 max 500 min |
| 273 | +Histogram: 1 0 0 0 0 0 0 0 0 0 |
| 274 | +Nghost: 2930 ave 2930 max 2930 min |
| 275 | +Histogram: 1 0 0 0 0 0 0 0 0 0 |
| 276 | +Neighs: 46195 ave 46195 max 46195 min |
| 277 | +Histogram: 1 0 0 0 0 0 0 0 0 0 |
| 278 | +FullNghs: 92390 ave 92390 max 92390 min |
| 279 | +Histogram: 1 0 0 0 0 0 0 0 0 0 |
| 280 | + |
| 281 | +Total # of neighbors = 92390 |
| 282 | +Ave neighs/atom = 184.78 |
| 283 | +Neighbor list builds = 10000 |
| 284 | +Dangerous builds not checked |
| 285 | + |
| 286 | +# Compute vector averages |
| 287 | +# Note the indice switch. |
| 288 | +# LAMMPS convention is NOT the Voigt notation. |
| 289 | +variable aves1 equal "ave(f_VEC[1])" |
| 290 | +variable aves2 equal "ave(f_VEC[2])" |
| 291 | +variable aves3 equal "ave(f_VEC[3])" |
| 292 | +variable aves4 equal "ave(f_VEC[6])" |
| 293 | +variable aves5 equal "ave(f_VEC[5])" |
| 294 | +variable aves6 equal "ave(f_VEC[4])" |
| 295 | + |
| 296 | +# Computing the covariance through the <s_{i}s_{j}>-<s_i><s_j> |
| 297 | +# is numerically instable. Here we go through the <(s-<s>)^2> |
| 298 | +# definition. |
| 299 | + |
| 300 | +# Computing difference relative to average values |
| 301 | +variable ds1 vector "f_VEC[1]-v_aves1" |
| 302 | +variable ds2 vector "f_VEC[2]-v_aves2" |
| 303 | +variable ds3 vector "f_VEC[3]-v_aves3" |
| 304 | +variable ds4 vector "f_VEC[4]-v_aves4" |
| 305 | +variable ds5 vector "f_VEC[5]-v_aves5" |
| 306 | +variable ds6 vector "f_VEC[6]-v_aves6" |
| 307 | + |
| 308 | +# Squaring and averaging |
| 309 | +variable dds1 vector "v_ds1*v_ds1" |
| 310 | +variable dds2 vector "v_ds2*v_ds2" |
| 311 | +variable dds3 vector "v_ds3*v_ds3" |
| 312 | +variable vars1 equal "ave(v_dds1)" |
| 313 | +variable vars2 equal "ave(v_dds2)" |
| 314 | +variable vars3 equal "ave(v_dds3)" |
| 315 | +variable C11 equal "v_Pa2GPa*(v_C1*f_CB[1] - v_C2*v_vars1 + 2*v_Rhokbt)" |
| 316 | +variable C22 equal "v_Pa2GPa*(v_C1*f_CB[2] - v_C2*v_vars2 + 2*v_Rhokbt)" |
| 317 | +variable C33 equal "v_Pa2GPa*(v_C1*f_CB[3] - v_C2*v_vars3 + 2*v_Rhokbt)" |
| 318 | + |
| 319 | +variable dds12 vector "v_ds1*v_ds2" |
| 320 | +variable dds13 vector "v_ds1*v_ds3" |
| 321 | +variable dds23 vector "v_ds2*v_ds3" |
| 322 | +variable vars12 equal "ave(v_dds12)" |
| 323 | +variable vars13 equal "ave(v_dds13)" |
| 324 | +variable vars23 equal "ave(v_dds23)" |
| 325 | +variable C12 equal "v_Pa2GPa*(v_C1*f_CB[7] - v_C2*v_vars12)" |
| 326 | +variable C13 equal "v_Pa2GPa*(v_C1*f_CB[8] - v_C2*v_vars13)" |
| 327 | +variable C23 equal "v_Pa2GPa*(v_C1*f_CB[12] - v_C2*v_vars23)" |
| 328 | + |
| 329 | +variable dds4 vector "v_ds4*v_ds4" |
| 330 | +variable dds5 vector "v_ds5*v_ds5" |
| 331 | +variable dds6 vector "v_ds6*v_ds6" |
| 332 | +variable vars4 equal "ave(v_dds4)" |
| 333 | +variable vars5 equal "ave(v_dds5)" |
| 334 | +variable vars6 equal "ave(v_dds6)" |
| 335 | +variable C44 equal "v_Pa2GPa*(v_C1*f_CB[4] - v_C2*v_vars4 + v_Rhokbt)" |
| 336 | +variable C55 equal "v_Pa2GPa*(v_C1*f_CB[5] - v_C2*v_vars5 + v_Rhokbt)" |
| 337 | +variable C66 equal "v_Pa2GPa*(v_C1*f_CB[6] - v_C2*v_vars6 + v_Rhokbt)" |
| 338 | + |
| 339 | +variable aC11 equal "(v_C11 + v_C22 + v_C33)/3." |
| 340 | +variable aC12 equal "(v_C12 + v_C13 + v_C23)/3." |
| 341 | +variable aC44 equal "(v_C44 + v_C55 + v_C66)/3." |
| 342 | + |
| 343 | +print """ |
| 344 | +C11 = ${aC11} |
| 345 | +C12 = ${aC12} |
| 346 | +C44 = ${aC44} |
| 347 | +""" |
| 348 | + |
| 349 | +C11 = 2.43259565469463 |
| 350 | +C12 = 1.31707509521887 |
| 351 | +C44 = 1.46049163278008 |
| 352 | + |
| 353 | +Total wall time: 0:01:35 |
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