!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!! !!!!! !!!!! VERIFICATION CHECK: vc-periodicity-support !!!!! !!!!! !!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Description: Check that the model supports periodic boundary conditions correctly. If the simulation box is increased by an integer factor along a periodic direction, the total energy must multiply by that factor and the forces on atoms that are periodic copies of each other must be the same. The check is performed for a randomly distorted non-periodic face-centered cubic (FCC) cube base structure. Separate configurations are tested for each species supported by the model, as well as one containing a random distribution of all species. For each configuration, all possible combinations of periodic boundary conditions are tested: TFF, FTF, FFT, TTF, TFT, TTF, TTT (where 'T' indicates periodicity along a direction, and 'F' indicates no periodicity). The verification check passes if the energy of all configurations that the model is able to compute support all periodic boundary conditions correctly. Configurations used for testing are provided as auxiliary files. Author: Ellad Tadmor ------------------------------------------------------------------------------------------------------------------------ Results for KIM Model : Sim_LAMMPS_EAM_BonnyCastinBullens_2013_FeCrW__SM_699257350704_000 Supported species : Cr Fe W random seed = 13 lattice constant (orig) = 3.000 perturbation amplitude = 0.300 number unit cells per side = 1 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Cr, PBC = TTT (Configuration in file "config-Cr-TTT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=3 periodic directions, which means an increase by a factor n=2^3=8 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 20.10758041400572 2^p V(r_1,...,r_N) = 20.107580414005703 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 5.43251714e+00 -3.65733336e+00 -5.06767567e+00 | 5.43251714e+00 -3.65733336e+00 -5.06767567e+00 1 -9.23541329e+00 -1.96911181e+00 1.05333804e+01 | -9.23541329e+00 -1.96911181e+00 1.05333804e+01 2 -4.90648198e+00 4.90092020e+00 -2.33650573e+00 | -4.90648198e+00 4.90092020e+00 -2.33650573e+00 3 8.70937813e+00 7.25524971e-01 -3.12919895e+00 | 8.70937813e+00 7.25524971e-01 -3.12919895e+00 4 5.43251714e+00 -3.65733336e+00 -5.06767567e+00 | 5.43251714e+00 -3.65733336e+00 -5.06767567e+00 5 -9.23541329e+00 -1.96911181e+00 1.05333804e+01 | -9.23541329e+00 -1.96911181e+00 1.05333804e+01 6 -4.90648198e+00 4.90092020e+00 -2.33650573e+00 | -4.90648198e+00 4.90092020e+00 -2.33650573e+00 7 8.70937813e+00 7.25524971e-01 -3.12919895e+00 | 8.70937813e+00 7.25524971e-01 -3.12919895e+00 8 5.43251714e+00 -3.65733336e+00 -5.06767567e+00 | 5.43251714e+00 -3.65733336e+00 -5.06767567e+00 9 -9.23541329e+00 -1.96911181e+00 1.05333804e+01 | -9.23541329e+00 -1.96911181e+00 1.05333804e+01 10 -4.90648198e+00 4.90092020e+00 -2.33650573e+00 | -4.90648198e+00 4.90092020e+00 -2.33650573e+00 11 8.70937813e+00 7.25524971e-01 -3.12919895e+00 | 8.70937813e+00 7.25524971e-01 -3.12919895e+00 12 5.43251714e+00 -3.65733336e+00 -5.06767567e+00 | 5.43251714e+00 -3.65733336e+00 -5.06767567e+00 13 -9.23541329e+00 -1.96911181e+00 1.05333804e+01 | -9.23541329e+00 -1.96911181e+00 1.05333804e+01 14 -4.90648198e+00 4.90092020e+00 -2.33650573e+00 | -4.90648198e+00 4.90092020e+00 -2.33650573e+00 15 8.70937813e+00 7.25524971e-01 -3.12919895e+00 | 8.70937813e+00 7.25524971e-01 -3.12919895e+00 16 5.43251714e+00 -3.65733336e+00 -5.06767567e+00 | 5.43251714e+00 -3.65733336e+00 -5.06767567e+00 17 -9.23541329e+00 -1.96911181e+00 1.05333804e+01 | -9.23541329e+00 -1.96911181e+00 1.05333804e+01 18 -4.90648198e+00 4.90092020e+00 -2.33650573e+00 | -4.90648198e+00 4.90092020e+00 -2.33650573e+00 19 8.70937813e+00 7.25524971e-01 -3.12919895e+00 | 8.70937813e+00 7.25524971e-01 -3.12919895e+00 20 5.43251714e+00 -3.65733336e+00 -5.06767567e+00 | 5.43251714e+00 -3.65733336e+00 -5.06767567e+00 21 -9.23541329e+00 -1.96911181e+00 1.05333804e+01 | -9.23541329e+00 -1.96911181e+00 1.05333804e+01 22 -4.90648198e+00 4.90092020e+00 -2.33650573e+00 | -4.90648198e+00 4.90092020e+00 -2.33650573e+00 23 8.70937813e+00 7.25524971e-01 -3.12919895e+00 | 8.70937813e+00 7.25524971e-01 -3.12919895e+00 24 5.43251714e+00 -3.65733336e+00 -5.06767567e+00 | 5.43251714e+00 -3.65733336e+00 -5.06767567e+00 25 -9.23541329e+00 -1.96911181e+00 1.05333804e+01 | -9.23541329e+00 -1.96911181e+00 1.05333804e+01 26 -4.90648198e+00 4.90092020e+00 -2.33650573e+00 | -4.90648198e+00 4.90092020e+00 -2.33650573e+00 27 8.70937813e+00 7.25524971e-01 -3.12919895e+00 | 8.70937813e+00 7.25524971e-01 -3.12919895e+00 28 5.43251714e+00 -3.65733336e+00 -5.06767567e+00 | 5.43251714e+00 -3.65733336e+00 -5.06767567e+00 29 -9.23541329e+00 -1.96911181e+00 1.05333804e+01 | -9.23541329e+00 -1.96911181e+00 1.05333804e+01 30 -4.90648198e+00 4.90092020e+00 -2.33650573e+00 | -4.90648198e+00 4.90092020e+00 -2.33650573e+00 31 8.70937813e+00 7.25524971e-01 -3.12919895e+00 | 8.70937813e+00 7.25524971e-01 -3.12919895e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Cr, PBC = TTF (Configuration in file "config-Cr-TTF.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=2 periodic directions, which means an increase by a factor n=2^2=4 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = -2.101897735096923 2^p V(r_1,...,r_N) = -2.1018977350969106 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 1.21274938e+01 -3.01740132e+00 -1.67900654e+01 | 1.21274938e+01 -3.01740132e+00 -1.67900654e+01 1 -6.76833025e+00 3.34693644e+00 -1.19807848e+01 | -6.76833025e+00 3.34693644e+00 -1.19807848e+01 2 -8.11998143e+00 -4.11534929e+00 1.80767724e+01 | -8.11998143e+00 -4.11534929e+00 1.80767724e+01 3 2.76081790e+00 3.78581418e+00 1.06940779e+01 | 2.76081790e+00 3.78581418e+00 1.06940779e+01 4 1.21274938e+01 -3.01740132e+00 -1.67900654e+01 | 1.21274938e+01 -3.01740132e+00 -1.67900654e+01 5 -6.76833025e+00 3.34693644e+00 -1.19807848e+01 | -6.76833025e+00 3.34693644e+00 -1.19807848e+01 6 -8.11998143e+00 -4.11534929e+00 1.80767724e+01 | -8.11998143e+00 -4.11534929e+00 1.80767724e+01 7 2.76081790e+00 3.78581418e+00 1.06940779e+01 | 2.76081790e+00 3.78581418e+00 1.06940779e+01 8 1.21274938e+01 -3.01740132e+00 -1.67900654e+01 | 1.21274938e+01 -3.01740132e+00 -1.67900654e+01 9 -6.76833025e+00 3.34693644e+00 -1.19807848e+01 | -6.76833025e+00 3.34693644e+00 -1.19807848e+01 10 -8.11998143e+00 -4.11534929e+00 1.80767724e+01 | -8.11998143e+00 -4.11534929e+00 1.80767724e+01 11 2.76081790e+00 3.78581418e+00 1.06940779e+01 | 2.76081790e+00 3.78581418e+00 1.06940779e+01 12 1.21274938e+01 -3.01740132e+00 -1.67900654e+01 | 1.21274938e+01 -3.01740132e+00 -1.67900654e+01 13 -6.76833025e+00 3.34693644e+00 -1.19807848e+01 | -6.76833025e+00 3.34693644e+00 -1.19807848e+01 14 -8.11998143e+00 -4.11534929e+00 1.80767724e+01 | -8.11998143e+00 -4.11534929e+00 1.80767724e+01 15 2.76081790e+00 3.78581418e+00 1.06940779e+01 | 2.76081790e+00 3.78581418e+00 1.06940779e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Cr, PBC = TFT (Configuration in file "config-Cr-TFT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=2 periodic directions, which means an increase by a factor n=2^2=4 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 2.758455114664501 2^p V(r_1,...,r_N) = 2.758455114664478 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 8.24022111e+00 -1.47162707e+01 -5.77949464e+00 | 8.24022111e+00 -1.47162707e+01 -5.77949464e+00 1 -9.17263240e+00 1.37514845e+01 -1.86106746e+00 | -9.17263240e+00 1.37514845e+01 -1.86106746e+00 2 -9.55522988e+00 -1.47158727e+01 3.71264487e+00 | -9.55522988e+00 -1.47158727e+01 3.71264487e+00 3 1.04876412e+01 1.56806588e+01 3.92791723e+00 | 1.04876412e+01 1.56806588e+01 3.92791723e+00 4 8.24022111e+00 -1.47162707e+01 -5.77949464e+00 | 8.24022111e+00 -1.47162707e+01 -5.77949464e+00 5 -9.17263240e+00 1.37514845e+01 -1.86106746e+00 | -9.17263240e+00 1.37514845e+01 -1.86106746e+00 6 -9.55522988e+00 -1.47158727e+01 3.71264487e+00 | -9.55522988e+00 -1.47158727e+01 3.71264487e+00 7 1.04876412e+01 1.56806588e+01 3.92791723e+00 | 1.04876412e+01 1.56806588e+01 3.92791723e+00 8 8.24022111e+00 -1.47162707e+01 -5.77949464e+00 | 8.24022111e+00 -1.47162707e+01 -5.77949464e+00 9 -9.17263240e+00 1.37514845e+01 -1.86106746e+00 | -9.17263240e+00 1.37514845e+01 -1.86106746e+00 10 -9.55522988e+00 -1.47158727e+01 3.71264487e+00 | -9.55522988e+00 -1.47158727e+01 3.71264487e+00 11 1.04876412e+01 1.56806588e+01 3.92791723e+00 | 1.04876412e+01 1.56806588e+01 3.92791723e+00 12 8.24022111e+00 -1.47162707e+01 -5.77949464e+00 | 8.24022111e+00 -1.47162707e+01 -5.77949464e+00 13 -9.17263240e+00 1.37514845e+01 -1.86106746e+00 | -9.17263240e+00 1.37514845e+01 -1.86106746e+00 14 -9.55522988e+00 -1.47158727e+01 3.71264487e+00 | -9.55522988e+00 -1.47158727e+01 3.71264487e+00 15 1.04876412e+01 1.56806588e+01 3.92791723e+00 | 1.04876412e+01 1.56806588e+01 3.92791723e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Cr, PBC = TFF (Configuration in file "config-Cr-TFF.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=1 periodic directions, which means an increase by a factor n=2^1=2 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = -4.800283063288715 2^p V(r_1,...,r_N) = -4.800283063288721 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 3.68047960e+00 -9.43550777e+00 -7.65447862e+00 | 3.68047960e+00 -9.43550777e+00 -7.65447862e+00 1 -4.63384191e+00 8.40152301e+00 -7.88701921e+00 | -4.63384191e+00 8.40152301e+00 -7.88701921e+00 2 -4.02536856e+00 -8.14665168e+00 7.80228821e+00 | -4.02536856e+00 -8.14665168e+00 7.80228821e+00 3 4.97873087e+00 9.18063643e+00 7.73920963e+00 | 4.97873087e+00 9.18063643e+00 7.73920963e+00 4 3.68047960e+00 -9.43550777e+00 -7.65447862e+00 | 3.68047960e+00 -9.43550777e+00 -7.65447862e+00 5 -4.63384191e+00 8.40152301e+00 -7.88701921e+00 | -4.63384191e+00 8.40152301e+00 -7.88701921e+00 6 -4.02536856e+00 -8.14665168e+00 7.80228821e+00 | -4.02536856e+00 -8.14665168e+00 7.80228821e+00 7 4.97873087e+00 9.18063643e+00 7.73920963e+00 | 4.97873087e+00 9.18063643e+00 7.73920963e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Cr, PBC = FTT (Configuration in file "config-Cr-FTT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=2 periodic directions, which means an increase by a factor n=2^2=4 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = -3.0179184375852826 2^p V(r_1,...,r_N) = -3.017918437585287 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -1.08733883e+01 -1.41074275e+00 -1.80384794e+00 | -1.08733883e+01 -1.41074275e+00 -1.80384794e+00 1 1.18395648e+01 -6.12234369e+00 3.58259126e+00 | 1.18395648e+01 -6.12234369e+00 3.58259126e+00 2 1.15153286e+01 7.42175253e+00 -6.46282522e+00 | 1.15153286e+01 7.42175253e+00 -6.46282522e+00 3 -1.24815052e+01 1.11333907e-01 4.68408190e+00 | -1.24815052e+01 1.11333907e-01 4.68408190e+00 4 -1.08733883e+01 -1.41074275e+00 -1.80384794e+00 | -1.08733883e+01 -1.41074275e+00 -1.80384794e+00 5 1.18395648e+01 -6.12234369e+00 3.58259126e+00 | 1.18395648e+01 -6.12234369e+00 3.58259126e+00 6 1.15153286e+01 7.42175253e+00 -6.46282522e+00 | 1.15153286e+01 7.42175253e+00 -6.46282522e+00 7 -1.24815052e+01 1.11333907e-01 4.68408190e+00 | -1.24815052e+01 1.11333907e-01 4.68408190e+00 8 -1.08733883e+01 -1.41074275e+00 -1.80384794e+00 | -1.08733883e+01 -1.41074275e+00 -1.80384794e+00 9 1.18395648e+01 -6.12234369e+00 3.58259126e+00 | 1.18395648e+01 -6.12234369e+00 3.58259126e+00 10 1.15153286e+01 7.42175253e+00 -6.46282522e+00 | 1.15153286e+01 7.42175253e+00 -6.46282522e+00 11 -1.24815052e+01 1.11333907e-01 4.68408190e+00 | -1.24815052e+01 1.11333907e-01 4.68408190e+00 12 -1.08733883e+01 -1.41074275e+00 -1.80384794e+00 | -1.08733883e+01 -1.41074275e+00 -1.80384794e+00 13 1.18395648e+01 -6.12234369e+00 3.58259126e+00 | 1.18395648e+01 -6.12234369e+00 3.58259126e+00 14 1.15153286e+01 7.42175253e+00 -6.46282522e+00 | 1.15153286e+01 7.42175253e+00 -6.46282522e+00 15 -1.24815052e+01 1.11333907e-01 4.68408190e+00 | -1.24815052e+01 1.11333907e-01 4.68408190e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Cr, PBC = FTF (Configuration in file "config-Cr-FTF.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=1 periodic directions, which means an increase by a factor n=2^1=2 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 1.9194503969965204 2^p V(r_1,...,r_N) = 1.919450396996535 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -1.34902299e+01 4.00036965e+00 -1.15384479e+01 | -1.34902299e+01 4.00036965e+00 -1.15384479e+01 1 9.97689694e+00 -7.08886697e+00 -1.24240782e+01 | 9.97689694e+00 -7.08886697e+00 -1.24240782e+01 2 1.31499486e+01 7.05490491e+00 1.43070917e+01 | 1.31499486e+01 7.05490491e+00 1.43070917e+01 3 -9.63661570e+00 -3.96640759e+00 9.65543438e+00 | -9.63661570e+00 -3.96640759e+00 9.65543438e+00 4 -1.34902299e+01 4.00036965e+00 -1.15384479e+01 | -1.34902299e+01 4.00036965e+00 -1.15384479e+01 5 9.97689694e+00 -7.08886697e+00 -1.24240782e+01 | 9.97689694e+00 -7.08886697e+00 -1.24240782e+01 6 1.31499486e+01 7.05490491e+00 1.43070917e+01 | 1.31499486e+01 7.05490491e+00 1.43070917e+01 7 -9.63661570e+00 -3.96640759e+00 9.65543438e+00 | -9.63661570e+00 -3.96640759e+00 9.65543438e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Cr, PBC = FFT (Configuration in file "config-Cr-FFT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=1 periodic directions, which means an increase by a factor n=2^1=2 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = -11.073263812590614 2^p V(r_1,...,r_N) = -11.073263812590604 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -5.80264032e+00 -5.67972988e+00 1.33403633e+00 | -5.80264032e+00 -5.67972988e+00 1.33403633e+00 1 5.67359205e+00 6.44718155e+00 -1.79036652e+00 | 5.67359205e+00 6.44718155e+00 -1.79036652e+00 2 4.96503712e+00 -6.16573941e+00 1.20144933e+00 | 4.96503712e+00 -6.16573941e+00 1.20144933e+00 3 -4.83598885e+00 5.39828773e+00 -7.45119136e-01 | -4.83598885e+00 5.39828773e+00 -7.45119136e-01 4 -5.80264032e+00 -5.67972988e+00 1.33403633e+00 | -5.80264032e+00 -5.67972988e+00 1.33403633e+00 5 5.67359205e+00 6.44718155e+00 -1.79036652e+00 | 5.67359205e+00 6.44718155e+00 -1.79036652e+00 6 4.96503712e+00 -6.16573941e+00 1.20144933e+00 | 4.96503712e+00 -6.16573941e+00 1.20144933e+00 7 -4.83598885e+00 5.39828773e+00 -7.45119136e-01 | -4.83598885e+00 5.39828773e+00 -7.45119136e-01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Fe, PBC = TTT (Configuration in file "config-Fe-TTT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=3 periodic directions, which means an increase by a factor n=2^3=8 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 8.845530653670316 2^p V(r_1,...,r_N) = 8.845530653670275 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 2.13243528e+01 -5.10945753e+00 -2.90910715e+01 | 2.13243528e+01 -5.10945753e+00 -2.90910715e+01 1 -8.76093049e+00 -7.91269595e+00 -7.92098753e+00 | -8.76093049e+00 -7.91269595e+00 -7.92098753e+00 2 -2.05036135e+01 1.92909819e+00 2.39541825e+01 | -2.05036135e+01 1.92909819e+00 2.39541825e+01 3 7.94019123e+00 1.10930553e+01 1.30578766e+01 | 7.94019123e+00 1.10930553e+01 1.30578766e+01 4 2.13243528e+01 -5.10945753e+00 -2.90910715e+01 | 2.13243528e+01 -5.10945753e+00 -2.90910715e+01 5 -8.76093049e+00 -7.91269595e+00 -7.92098753e+00 | -8.76093049e+00 -7.91269595e+00 -7.92098753e+00 6 -2.05036135e+01 1.92909819e+00 2.39541825e+01 | -2.05036135e+01 1.92909819e+00 2.39541825e+01 7 7.94019123e+00 1.10930553e+01 1.30578766e+01 | 7.94019123e+00 1.10930553e+01 1.30578766e+01 8 2.13243528e+01 -5.10945753e+00 -2.90910715e+01 | 2.13243528e+01 -5.10945753e+00 -2.90910715e+01 9 -8.76093049e+00 -7.91269595e+00 -7.92098753e+00 | -8.76093049e+00 -7.91269595e+00 -7.92098753e+00 10 -2.05036135e+01 1.92909819e+00 2.39541825e+01 | -2.05036135e+01 1.92909819e+00 2.39541825e+01 11 7.94019123e+00 1.10930553e+01 1.30578766e+01 | 7.94019123e+00 1.10930553e+01 1.30578766e+01 12 2.13243528e+01 -5.10945753e+00 -2.90910715e+01 | 2.13243528e+01 -5.10945753e+00 -2.90910715e+01 13 -8.76093049e+00 -7.91269595e+00 -7.92098753e+00 | -8.76093049e+00 -7.91269595e+00 -7.92098753e+00 14 -2.05036135e+01 1.92909819e+00 2.39541825e+01 | -2.05036135e+01 1.92909819e+00 2.39541825e+01 15 7.94019123e+00 1.10930553e+01 1.30578766e+01 | 7.94019123e+00 1.10930553e+01 1.30578766e+01 16 2.13243528e+01 -5.10945753e+00 -2.90910715e+01 | 2.13243528e+01 -5.10945753e+00 -2.90910715e+01 17 -8.76093049e+00 -7.91269595e+00 -7.92098753e+00 | -8.76093049e+00 -7.91269595e+00 -7.92098753e+00 18 -2.05036135e+01 1.92909819e+00 2.39541825e+01 | -2.05036135e+01 1.92909819e+00 2.39541825e+01 19 7.94019123e+00 1.10930553e+01 1.30578766e+01 | 7.94019123e+00 1.10930553e+01 1.30578766e+01 20 2.13243528e+01 -5.10945753e+00 -2.90910715e+01 | 2.13243528e+01 -5.10945753e+00 -2.90910715e+01 21 -8.76093049e+00 -7.91269595e+00 -7.92098753e+00 | -8.76093049e+00 -7.91269595e+00 -7.92098753e+00 22 -2.05036135e+01 1.92909819e+00 2.39541825e+01 | -2.05036135e+01 1.92909819e+00 2.39541825e+01 23 7.94019123e+00 1.10930553e+01 1.30578766e+01 | 7.94019123e+00 1.10930553e+01 1.30578766e+01 24 2.13243528e+01 -5.10945753e+00 -2.90910715e+01 | 2.13243528e+01 -5.10945753e+00 -2.90910715e+01 25 -8.76093049e+00 -7.91269595e+00 -7.92098753e+00 | -8.76093049e+00 -7.91269595e+00 -7.92098753e+00 26 -2.05036135e+01 1.92909819e+00 2.39541825e+01 | -2.05036135e+01 1.92909819e+00 2.39541825e+01 27 7.94019123e+00 1.10930553e+01 1.30578766e+01 | 7.94019123e+00 1.10930553e+01 1.30578766e+01 28 2.13243528e+01 -5.10945753e+00 -2.90910715e+01 | 2.13243528e+01 -5.10945753e+00 -2.90910715e+01 29 -8.76093049e+00 -7.91269595e+00 -7.92098753e+00 | -8.76093049e+00 -7.91269595e+00 -7.92098753e+00 30 -2.05036135e+01 1.92909819e+00 2.39541825e+01 | -2.05036135e+01 1.92909819e+00 2.39541825e+01 31 7.94019123e+00 1.10930553e+01 1.30578766e+01 | 7.94019123e+00 1.10930553e+01 1.30578766e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Fe, PBC = TTF (Configuration in file "config-Fe-TTF.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=2 periodic directions, which means an increase by a factor n=2^2=4 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 65.24835870604501 2^p V(r_1,...,r_N) = 65.248358706045 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -1.80768546e+01 3.22080879e+01 -1.48754691e+01 | -1.80768546e+01 3.22080879e+01 -1.48754691e+01 1 1.74008554e+01 -3.27647663e+01 -1.95235067e+01 | 1.74008554e+01 -3.27647663e+01 -1.95235067e+01 2 -4.37640825e+01 5.83537632e+01 2.34539413e+01 | -4.37640825e+01 5.83537632e+01 2.34539413e+01 3 4.44400817e+01 -5.77970848e+01 1.09450345e+01 | 4.44400817e+01 -5.77970848e+01 1.09450345e+01 4 -1.80768546e+01 3.22080879e+01 -1.48754691e+01 | -1.80768546e+01 3.22080879e+01 -1.48754691e+01 5 1.74008554e+01 -3.27647663e+01 -1.95235067e+01 | 1.74008554e+01 -3.27647663e+01 -1.95235067e+01 6 -4.37640825e+01 5.83537632e+01 2.34539413e+01 | -4.37640825e+01 5.83537632e+01 2.34539413e+01 7 4.44400817e+01 -5.77970848e+01 1.09450345e+01 | 4.44400817e+01 -5.77970848e+01 1.09450345e+01 8 -1.80768546e+01 3.22080879e+01 -1.48754691e+01 | -1.80768546e+01 3.22080879e+01 -1.48754691e+01 9 1.74008554e+01 -3.27647663e+01 -1.95235067e+01 | 1.74008554e+01 -3.27647663e+01 -1.95235067e+01 10 -4.37640825e+01 5.83537632e+01 2.34539413e+01 | -4.37640825e+01 5.83537632e+01 2.34539413e+01 11 4.44400817e+01 -5.77970848e+01 1.09450345e+01 | 4.44400817e+01 -5.77970848e+01 1.09450345e+01 12 -1.80768546e+01 3.22080879e+01 -1.48754691e+01 | -1.80768546e+01 3.22080879e+01 -1.48754691e+01 13 1.74008554e+01 -3.27647663e+01 -1.95235067e+01 | 1.74008554e+01 -3.27647663e+01 -1.95235067e+01 14 -4.37640825e+01 5.83537632e+01 2.34539413e+01 | -4.37640825e+01 5.83537632e+01 2.34539413e+01 15 4.44400817e+01 -5.77970848e+01 1.09450345e+01 | 4.44400817e+01 -5.77970848e+01 1.09450345e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Fe, PBC = TFT (Configuration in file "config-Fe-TFT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=2 periodic directions, which means an increase by a factor n=2^2=4 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 19.50537025980387 2^p V(r_1,...,r_N) = 19.505370259803875 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 2.15449940e+01 -2.12216714e+01 2.72164823e+01 | 2.15449940e+01 -2.12216714e+01 2.72164823e+01 1 4.76679961e+00 1.68102481e+01 1.85229745e+01 | 4.76679961e+00 1.68102481e+01 1.85229745e+01 2 -1.78410729e+01 -1.38182128e+01 -2.34682935e+01 | -1.78410729e+01 -1.38182128e+01 -2.34682935e+01 3 -8.47072068e+00 1.82296360e+01 -2.22711633e+01 | -8.47072068e+00 1.82296360e+01 -2.22711633e+01 4 2.15449940e+01 -2.12216714e+01 2.72164823e+01 | 2.15449940e+01 -2.12216714e+01 2.72164823e+01 5 4.76679961e+00 1.68102481e+01 1.85229745e+01 | 4.76679961e+00 1.68102481e+01 1.85229745e+01 6 -1.78410729e+01 -1.38182128e+01 -2.34682935e+01 | -1.78410729e+01 -1.38182128e+01 -2.34682935e+01 7 -8.47072068e+00 1.82296360e+01 -2.22711633e+01 | -8.47072068e+00 1.82296360e+01 -2.22711633e+01 8 2.15449940e+01 -2.12216714e+01 2.72164823e+01 | 2.15449940e+01 -2.12216714e+01 2.72164823e+01 9 4.76679961e+00 1.68102481e+01 1.85229745e+01 | 4.76679961e+00 1.68102481e+01 1.85229745e+01 10 -1.78410729e+01 -1.38182128e+01 -2.34682935e+01 | -1.78410729e+01 -1.38182128e+01 -2.34682935e+01 11 -8.47072068e+00 1.82296360e+01 -2.22711633e+01 | -8.47072068e+00 1.82296360e+01 -2.22711633e+01 12 2.15449940e+01 -2.12216714e+01 2.72164823e+01 | 2.15449940e+01 -2.12216714e+01 2.72164823e+01 13 4.76679961e+00 1.68102481e+01 1.85229745e+01 | 4.76679961e+00 1.68102481e+01 1.85229745e+01 14 -1.78410729e+01 -1.38182128e+01 -2.34682935e+01 | -1.78410729e+01 -1.38182128e+01 -2.34682935e+01 15 -8.47072068e+00 1.82296360e+01 -2.22711633e+01 | -8.47072068e+00 1.82296360e+01 -2.22711633e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Fe, PBC = TFF (Configuration in file "config-Fe-TFF.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=1 periodic directions, which means an increase by a factor n=2^1=2 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = -3.232873395799963 2^p V(r_1,...,r_N) = -3.2328733957999516 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 1.83417665e+00 -7.92987290e+00 -1.33497687e+01 | 1.83417665e+00 -7.92987290e+00 -1.33497687e+01 1 1.51165767e+01 9.03545312e+00 -2.06927209e+01 | 1.51165767e+01 9.03545312e+00 -2.06927209e+01 2 -7.79356358e-01 -8.15058782e+00 9.70668634e+00 | -7.79356358e-01 -8.15058782e+00 9.70668634e+00 3 -1.61713970e+01 7.04500760e+00 2.43358033e+01 | -1.61713970e+01 7.04500760e+00 2.43358033e+01 4 1.83417665e+00 -7.92987290e+00 -1.33497687e+01 | 1.83417665e+00 -7.92987290e+00 -1.33497687e+01 5 1.51165767e+01 9.03545312e+00 -2.06927209e+01 | 1.51165767e+01 9.03545312e+00 -2.06927209e+01 6 -7.79356358e-01 -8.15058782e+00 9.70668634e+00 | -7.79356358e-01 -8.15058782e+00 9.70668634e+00 7 -1.61713970e+01 7.04500760e+00 2.43358033e+01 | -1.61713970e+01 7.04500760e+00 2.43358033e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Fe, PBC = FTT (Configuration in file "config-Fe-FTT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=2 periodic directions, which means an increase by a factor n=2^2=4 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 6.802825261708857 2^p V(r_1,...,r_N) = 6.802825261708918 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -9.37236966e+00 -3.61617642e+01 -3.80456623e+01 | -9.37236966e+00 -3.61617642e+01 -3.80456623e+01 1 6.46062088e+00 6.36410207e+00 -6.61340927e+00 | 6.46062088e+00 6.36410207e+00 -6.61340927e+00 2 1.02319308e+01 -7.68113652e+00 7.85696337e+00 | 1.02319308e+01 -7.68113652e+00 7.85696337e+00 3 -7.32018202e+00 3.74787986e+01 3.68021082e+01 | -7.32018202e+00 3.74787986e+01 3.68021082e+01 4 -9.37236966e+00 -3.61617642e+01 -3.80456623e+01 | -9.37236966e+00 -3.61617642e+01 -3.80456623e+01 5 6.46062088e+00 6.36410207e+00 -6.61340927e+00 | 6.46062088e+00 6.36410207e+00 -6.61340927e+00 6 1.02319308e+01 -7.68113652e+00 7.85696337e+00 | 1.02319308e+01 -7.68113652e+00 7.85696337e+00 7 -7.32018202e+00 3.74787986e+01 3.68021082e+01 | -7.32018202e+00 3.74787986e+01 3.68021082e+01 8 -9.37236966e+00 -3.61617642e+01 -3.80456623e+01 | -9.37236966e+00 -3.61617642e+01 -3.80456623e+01 9 6.46062088e+00 6.36410207e+00 -6.61340927e+00 | 6.46062088e+00 6.36410207e+00 -6.61340927e+00 10 1.02319308e+01 -7.68113652e+00 7.85696337e+00 | 1.02319308e+01 -7.68113652e+00 7.85696337e+00 11 -7.32018202e+00 3.74787986e+01 3.68021082e+01 | -7.32018202e+00 3.74787986e+01 3.68021082e+01 12 -9.37236966e+00 -3.61617642e+01 -3.80456623e+01 | -9.37236966e+00 -3.61617642e+01 -3.80456623e+01 13 6.46062088e+00 6.36410207e+00 -6.61340927e+00 | 6.46062088e+00 6.36410207e+00 -6.61340927e+00 14 1.02319308e+01 -7.68113652e+00 7.85696337e+00 | 1.02319308e+01 -7.68113652e+00 7.85696337e+00 15 -7.32018202e+00 3.74787986e+01 3.68021082e+01 | -7.32018202e+00 3.74787986e+01 3.68021082e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Fe, PBC = FTF (Configuration in file "config-Fe-FTF.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=1 periodic directions, which means an increase by a factor n=2^1=2 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 6.517117475525456 2^p V(r_1,...,r_N) = 6.517117475525455 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -1.86788307e+01 -9.53944021e+00 -1.36817246e+01 | -1.86788307e+01 -9.53944021e+00 -1.36817246e+01 1 2.47287061e+01 1.49233353e+01 -1.94615642e+01 | 2.47287061e+01 1.49233353e+01 -1.94615642e+01 2 1.27954038e+01 -9.30251654e+00 1.89941226e+01 | 1.27954038e+01 -9.30251654e+00 1.89941226e+01 3 -1.88452792e+01 3.91862144e+00 1.41491662e+01 | -1.88452792e+01 3.91862144e+00 1.41491662e+01 4 -1.86788307e+01 -9.53944021e+00 -1.36817246e+01 | -1.86788307e+01 -9.53944021e+00 -1.36817246e+01 5 2.47287061e+01 1.49233353e+01 -1.94615642e+01 | 2.47287061e+01 1.49233353e+01 -1.94615642e+01 6 1.27954038e+01 -9.30251654e+00 1.89941226e+01 | 1.27954038e+01 -9.30251654e+00 1.89941226e+01 7 -1.88452792e+01 3.91862144e+00 1.41491662e+01 | -1.88452792e+01 3.91862144e+00 1.41491662e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Fe, PBC = FFT (Configuration in file "config-Fe-FFT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=1 periodic directions, which means an increase by a factor n=2^1=2 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = -2.5715640322106865 2^p V(r_1,...,r_N) = -2.571564032210678 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -7.35767173e+00 -1.72367527e+01 8.07213364e+00 | -7.35767173e+00 -1.72367527e+01 8.07213364e+00 1 1.52985262e+01 1.10515107e+01 8.13930359e+00 | 1.52985262e+01 1.10515107e+01 8.13930359e+00 2 8.40244346e+00 -6.95305191e+00 -1.43472407e+00 | 8.40244346e+00 -6.95305191e+00 -1.43472407e+00 3 -1.63432979e+01 1.31382939e+01 -1.47767132e+01 | -1.63432979e+01 1.31382939e+01 -1.47767132e+01 4 -7.35767173e+00 -1.72367527e+01 8.07213364e+00 | -7.35767173e+00 -1.72367527e+01 8.07213364e+00 5 1.52985262e+01 1.10515107e+01 8.13930359e+00 | 1.52985262e+01 1.10515107e+01 8.13930359e+00 6 8.40244346e+00 -6.95305191e+00 -1.43472407e+00 | 8.40244346e+00 -6.95305191e+00 -1.43472407e+00 7 -1.63432979e+01 1.31382939e+01 -1.47767132e+01 | -1.63432979e+01 1.31382939e+01 -1.47767132e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = W, PBC = TTT (Configuration in file "config-W-TTT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=3 periodic directions, which means an increase by a factor n=2^3=8 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 2843.7689254098286 2^p V(r_1,...,r_N) = 2843.7689254098127 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -2.10068643e+02 -4.90462370e+01 -3.01786896e+02 | -2.10068643e+02 -4.90462370e+01 -3.01786896e+02 1 1.67172171e+02 1.15025447e+02 -2.87567159e+02 | 1.67172171e+02 1.15025447e+02 -2.87567159e+02 2 3.43802346e+02 -2.88972742e+02 3.32678030e+02 | 3.43802346e+02 -2.88972742e+02 3.32678030e+02 3 -3.00905874e+02 2.22993532e+02 2.56676025e+02 | -3.00905874e+02 2.22993532e+02 2.56676025e+02 4 -2.10068643e+02 -4.90462370e+01 -3.01786896e+02 | -2.10068643e+02 -4.90462370e+01 -3.01786896e+02 5 1.67172171e+02 1.15025447e+02 -2.87567159e+02 | 1.67172171e+02 1.15025447e+02 -2.87567159e+02 6 3.43802346e+02 -2.88972742e+02 3.32678030e+02 | 3.43802346e+02 -2.88972742e+02 3.32678030e+02 7 -3.00905874e+02 2.22993532e+02 2.56676025e+02 | -3.00905874e+02 2.22993532e+02 2.56676025e+02 8 -2.10068643e+02 -4.90462370e+01 -3.01786896e+02 | -2.10068643e+02 -4.90462370e+01 -3.01786896e+02 9 1.67172171e+02 1.15025447e+02 -2.87567159e+02 | 1.67172171e+02 1.15025447e+02 -2.87567159e+02 10 3.43802346e+02 -2.88972742e+02 3.32678030e+02 | 3.43802346e+02 -2.88972742e+02 3.32678030e+02 11 -3.00905874e+02 2.22993532e+02 2.56676025e+02 | -3.00905874e+02 2.22993532e+02 2.56676025e+02 12 -2.10068643e+02 -4.90462370e+01 -3.01786896e+02 | -2.10068643e+02 -4.90462370e+01 -3.01786896e+02 13 1.67172171e+02 1.15025447e+02 -2.87567159e+02 | 1.67172171e+02 1.15025447e+02 -2.87567159e+02 14 3.43802346e+02 -2.88972742e+02 3.32678030e+02 | 3.43802346e+02 -2.88972742e+02 3.32678030e+02 15 -3.00905874e+02 2.22993532e+02 2.56676025e+02 | -3.00905874e+02 2.22993532e+02 2.56676025e+02 16 -2.10068643e+02 -4.90462370e+01 -3.01786896e+02 | -2.10068643e+02 -4.90462370e+01 -3.01786896e+02 17 1.67172171e+02 1.15025447e+02 -2.87567159e+02 | 1.67172171e+02 1.15025447e+02 -2.87567159e+02 18 3.43802346e+02 -2.88972742e+02 3.32678030e+02 | 3.43802346e+02 -2.88972742e+02 3.32678030e+02 19 -3.00905874e+02 2.22993532e+02 2.56676025e+02 | -3.00905874e+02 2.22993532e+02 2.56676025e+02 20 -2.10068643e+02 -4.90462370e+01 -3.01786896e+02 | -2.10068643e+02 -4.90462370e+01 -3.01786896e+02 21 1.67172171e+02 1.15025447e+02 -2.87567159e+02 | 1.67172171e+02 1.15025447e+02 -2.87567159e+02 22 3.43802346e+02 -2.88972742e+02 3.32678030e+02 | 3.43802346e+02 -2.88972742e+02 3.32678030e+02 23 -3.00905874e+02 2.22993532e+02 2.56676025e+02 | -3.00905874e+02 2.22993532e+02 2.56676025e+02 24 -2.10068643e+02 -4.90462370e+01 -3.01786896e+02 | -2.10068643e+02 -4.90462370e+01 -3.01786896e+02 25 1.67172171e+02 1.15025447e+02 -2.87567159e+02 | 1.67172171e+02 1.15025447e+02 -2.87567159e+02 26 3.43802346e+02 -2.88972742e+02 3.32678030e+02 | 3.43802346e+02 -2.88972742e+02 3.32678030e+02 27 -3.00905874e+02 2.22993532e+02 2.56676025e+02 | -3.00905874e+02 2.22993532e+02 2.56676025e+02 28 -2.10068643e+02 -4.90462370e+01 -3.01786896e+02 | -2.10068643e+02 -4.90462370e+01 -3.01786896e+02 29 1.67172171e+02 1.15025447e+02 -2.87567159e+02 | 1.67172171e+02 1.15025447e+02 -2.87567159e+02 30 3.43802346e+02 -2.88972742e+02 3.32678030e+02 | 3.43802346e+02 -2.88972742e+02 3.32678030e+02 31 -3.00905874e+02 2.22993532e+02 2.56676025e+02 | -3.00905874e+02 2.22993532e+02 2.56676025e+02 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = W, PBC = TTF (Configuration in file "config-W-TTF.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=2 periodic directions, which means an increase by a factor n=2^2=4 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 572.1261350101846 2^p V(r_1,...,r_N) = 572.1261350101855 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -8.80220920e+01 -3.41997777e+01 -1.68613683e+02 | -8.80220920e+01 -3.41997777e+01 -1.68613683e+02 1 6.23567845e+01 -1.13581091e+02 -2.18358461e+02 | 6.23567845e+01 -1.13581091e+02 -2.18358461e+02 2 9.44194497e+01 9.07477335e+01 2.48863365e+02 | 9.44194497e+01 9.07477335e+01 2.48863365e+02 3 -6.87541422e+01 5.70331355e+01 1.38108780e+02 | -6.87541422e+01 5.70331355e+01 1.38108780e+02 4 -8.80220920e+01 -3.41997777e+01 -1.68613683e+02 | -8.80220920e+01 -3.41997777e+01 -1.68613683e+02 5 6.23567845e+01 -1.13581091e+02 -2.18358461e+02 | 6.23567845e+01 -1.13581091e+02 -2.18358461e+02 6 9.44194497e+01 9.07477335e+01 2.48863365e+02 | 9.44194497e+01 9.07477335e+01 2.48863365e+02 7 -6.87541422e+01 5.70331355e+01 1.38108780e+02 | -6.87541422e+01 5.70331355e+01 1.38108780e+02 8 -8.80220920e+01 -3.41997777e+01 -1.68613683e+02 | -8.80220920e+01 -3.41997777e+01 -1.68613683e+02 9 6.23567845e+01 -1.13581091e+02 -2.18358461e+02 | 6.23567845e+01 -1.13581091e+02 -2.18358461e+02 10 9.44194497e+01 9.07477335e+01 2.48863365e+02 | 9.44194497e+01 9.07477335e+01 2.48863365e+02 11 -6.87541422e+01 5.70331355e+01 1.38108780e+02 | -6.87541422e+01 5.70331355e+01 1.38108780e+02 12 -8.80220920e+01 -3.41997777e+01 -1.68613683e+02 | -8.80220920e+01 -3.41997777e+01 -1.68613683e+02 13 6.23567845e+01 -1.13581091e+02 -2.18358461e+02 | 6.23567845e+01 -1.13581091e+02 -2.18358461e+02 14 9.44194497e+01 9.07477335e+01 2.48863365e+02 | 9.44194497e+01 9.07477335e+01 2.48863365e+02 15 -6.87541422e+01 5.70331355e+01 1.38108780e+02 | -6.87541422e+01 5.70331355e+01 1.38108780e+02 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = W, PBC = TFT (Configuration in file "config-W-TFT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=2 periodic directions, which means an increase by a factor n=2^2=4 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 473.87341952021904 2^p V(r_1,...,r_N) = 473.87341952022024 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -5.55018112e+01 -1.08680126e+02 -1.25240233e+02 | -5.55018112e+01 -1.08680126e+02 -1.25240233e+02 1 -1.06327480e+02 1.28117839e+02 -7.56344885e+01 | -1.06327480e+02 1.28117839e+02 -7.56344885e+01 2 2.47895574e+01 -1.34737574e+02 1.30203164e+02 | 2.47895574e+01 -1.34737574e+02 1.30203164e+02 3 1.37039734e+02 1.15299861e+02 7.06715571e+01 | 1.37039734e+02 1.15299861e+02 7.06715571e+01 4 -5.55018112e+01 -1.08680126e+02 -1.25240233e+02 | -5.55018112e+01 -1.08680126e+02 -1.25240233e+02 5 -1.06327480e+02 1.28117839e+02 -7.56344885e+01 | -1.06327480e+02 1.28117839e+02 -7.56344885e+01 6 2.47895574e+01 -1.34737574e+02 1.30203164e+02 | 2.47895574e+01 -1.34737574e+02 1.30203164e+02 7 1.37039734e+02 1.15299861e+02 7.06715571e+01 | 1.37039734e+02 1.15299861e+02 7.06715571e+01 8 -5.55018112e+01 -1.08680126e+02 -1.25240233e+02 | -5.55018112e+01 -1.08680126e+02 -1.25240233e+02 9 -1.06327480e+02 1.28117839e+02 -7.56344885e+01 | -1.06327480e+02 1.28117839e+02 -7.56344885e+01 10 2.47895574e+01 -1.34737574e+02 1.30203164e+02 | 2.47895574e+01 -1.34737574e+02 1.30203164e+02 11 1.37039734e+02 1.15299861e+02 7.06715571e+01 | 1.37039734e+02 1.15299861e+02 7.06715571e+01 12 -5.55018112e+01 -1.08680126e+02 -1.25240233e+02 | -5.55018112e+01 -1.08680126e+02 -1.25240233e+02 13 -1.06327480e+02 1.28117839e+02 -7.56344885e+01 | -1.06327480e+02 1.28117839e+02 -7.56344885e+01 14 2.47895574e+01 -1.34737574e+02 1.30203164e+02 | 2.47895574e+01 -1.34737574e+02 1.30203164e+02 15 1.37039734e+02 1.15299861e+02 7.06715571e+01 | 1.37039734e+02 1.15299861e+02 7.06715571e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = W, PBC = TFF (Configuration in file "config-W-TFF.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=1 periodic directions, which means an increase by a factor n=2^1=2 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 108.24887433460194 2^p V(r_1,...,r_N) = 108.24887433460194 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 5.82653567e+01 -6.85987197e+01 -8.64550635e+01 | 5.82653567e+01 -6.85987197e+01 -8.64550635e+01 1 -2.05409264e+01 1.11667258e+02 -8.12475099e+01 | -2.05409264e+01 1.11667258e+02 -8.12475099e+01 2 8.73212500e+00 -1.44034950e+02 9.35946347e+01 | 8.73212500e+00 -1.44034950e+02 9.35946347e+01 3 -4.64565554e+01 1.00966411e+02 7.41079386e+01 | -4.64565554e+01 1.00966411e+02 7.41079386e+01 4 5.82653567e+01 -6.85987197e+01 -8.64550635e+01 | 5.82653567e+01 -6.85987197e+01 -8.64550635e+01 5 -2.05409264e+01 1.11667258e+02 -8.12475099e+01 | -2.05409264e+01 1.11667258e+02 -8.12475099e+01 6 8.73212500e+00 -1.44034950e+02 9.35946347e+01 | 8.73212500e+00 -1.44034950e+02 9.35946347e+01 7 -4.64565554e+01 1.00966411e+02 7.41079386e+01 | -4.64565554e+01 1.00966411e+02 7.41079386e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = W, PBC = FTT (Configuration in file "config-W-FTT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=2 periodic directions, which means an increase by a factor n=2^2=4 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 700.153682884918 2^p V(r_1,...,r_N) = 700.1536828849189 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -2.20435279e+02 1.06612990e+02 -4.77122417e+01 | -2.20435279e+02 1.06612990e+02 -4.77122417e+01 1 1.53515805e+02 -6.49975875e+01 4.01754316e+01 | 1.53515805e+02 -6.49975875e+01 4.01754316e+01 2 2.77616933e+02 1.26938500e+02 6.59480108e+01 | 2.77616933e+02 1.26938500e+02 6.59480108e+01 3 -2.10697458e+02 -1.68553903e+02 -5.84112006e+01 | -2.10697458e+02 -1.68553903e+02 -5.84112006e+01 4 -2.20435279e+02 1.06612990e+02 -4.77122417e+01 | -2.20435279e+02 1.06612990e+02 -4.77122417e+01 5 1.53515805e+02 -6.49975875e+01 4.01754316e+01 | 1.53515805e+02 -6.49975875e+01 4.01754316e+01 6 2.77616933e+02 1.26938500e+02 6.59480108e+01 | 2.77616933e+02 1.26938500e+02 6.59480108e+01 7 -2.10697458e+02 -1.68553903e+02 -5.84112006e+01 | -2.10697458e+02 -1.68553903e+02 -5.84112006e+01 8 -2.20435279e+02 1.06612990e+02 -4.77122417e+01 | -2.20435279e+02 1.06612990e+02 -4.77122417e+01 9 1.53515805e+02 -6.49975875e+01 4.01754316e+01 | 1.53515805e+02 -6.49975875e+01 4.01754316e+01 10 2.77616933e+02 1.26938500e+02 6.59480108e+01 | 2.77616933e+02 1.26938500e+02 6.59480108e+01 11 -2.10697458e+02 -1.68553903e+02 -5.84112006e+01 | -2.10697458e+02 -1.68553903e+02 -5.84112006e+01 12 -2.20435279e+02 1.06612990e+02 -4.77122417e+01 | -2.20435279e+02 1.06612990e+02 -4.77122417e+01 13 1.53515805e+02 -6.49975875e+01 4.01754316e+01 | 1.53515805e+02 -6.49975875e+01 4.01754316e+01 14 2.77616933e+02 1.26938500e+02 6.59480108e+01 | 2.77616933e+02 1.26938500e+02 6.59480108e+01 15 -2.10697458e+02 -1.68553903e+02 -5.84112006e+01 | -2.10697458e+02 -1.68553903e+02 -5.84112006e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = W, PBC = FTF (Configuration in file "config-W-FTF.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=1 periodic directions, which means an increase by a factor n=2^1=2 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 843.8681943139414 2^p V(r_1,...,r_N) = 843.8681943139413 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -4.68321536e+02 1.84584630e+02 -3.55506905e+02 | -4.68321536e+02 1.84584630e+02 -3.55506905e+02 1 3.89580122e+02 -3.84107264e+02 -4.06074212e+02 | 3.89580122e+02 -3.84107264e+02 -4.06074212e+02 2 3.42361575e+02 2.68051488e+02 4.97289176e+02 | 3.42361575e+02 2.68051488e+02 4.97289176e+02 3 -2.63620161e+02 -6.85288541e+01 2.64291941e+02 | -2.63620161e+02 -6.85288541e+01 2.64291941e+02 4 -4.68321536e+02 1.84584630e+02 -3.55506905e+02 | -4.68321536e+02 1.84584630e+02 -3.55506905e+02 5 3.89580122e+02 -3.84107264e+02 -4.06074212e+02 | 3.89580122e+02 -3.84107264e+02 -4.06074212e+02 6 3.42361575e+02 2.68051488e+02 4.97289176e+02 | 3.42361575e+02 2.68051488e+02 4.97289176e+02 7 -2.63620161e+02 -6.85288541e+01 2.64291941e+02 | -2.63620161e+02 -6.85288541e+01 2.64291941e+02 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = W, PBC = FFT (Configuration in file "config-W-FFT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=1 periodic directions, which means an increase by a factor n=2^1=2 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 147.39515905045025 2^p V(r_1,...,r_N) = 147.39515905045036 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -1.54745174e+02 -7.96209638e+01 -9.39033565e+01 | -1.54745174e+02 -7.96209638e+01 -9.39033565e+01 1 9.57150040e+01 6.17432654e+01 -5.62383720e+01 | 9.57150040e+01 6.17432654e+01 -5.62383720e+01 2 1.60698397e+02 -7.35313850e+01 8.02305226e+01 | 1.60698397e+02 -7.35313850e+01 8.02305226e+01 3 -1.01668227e+02 9.14090834e+01 6.99112059e+01 | -1.01668227e+02 9.14090834e+01 6.99112059e+01 4 -1.54745174e+02 -7.96209638e+01 -9.39033565e+01 | -1.54745174e+02 -7.96209638e+01 -9.39033565e+01 5 9.57150040e+01 6.17432654e+01 -5.62383720e+01 | 9.57150040e+01 6.17432654e+01 -5.62383720e+01 6 1.60698397e+02 -7.35313850e+01 8.02305226e+01 | 1.60698397e+02 -7.35313850e+01 8.02305226e+01 7 -1.01668227e+02 9.14090834e+01 6.99112059e+01 | -1.01668227e+02 9.14090834e+01 6.99112059e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Cr Fe W, PBC = TTT (Configuration in file "config-CrFeW-TTT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=3 periodic directions, which means an increase by a factor n=2^3=8 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 600.375190334137 2^p V(r_1,...,r_N) = 600.3751903341386 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 5.65637848e+01 3.92809754e+01 1.52211998e+01 | 5.65637848e+01 3.92809754e+01 1.52211998e+01 1 -7.96587443e+01 -1.27844820e+02 1.35376341e+02 | -7.96587443e+01 -1.27844820e+02 1.35376341e+02 2 -3.78858056e+01 1.26155833e+02 -1.14689975e+02 | -3.78858056e+01 1.26155833e+02 -1.14689975e+02 3 6.09807651e+01 -3.75919886e+01 -3.59075661e+01 | 6.09807651e+01 -3.75919886e+01 -3.59075661e+01 4 5.65637848e+01 3.92809754e+01 1.52211998e+01 | 5.65637848e+01 3.92809754e+01 1.52211998e+01 5 -7.96587443e+01 -1.27844820e+02 1.35376341e+02 | -7.96587443e+01 -1.27844820e+02 1.35376341e+02 6 -3.78858056e+01 1.26155833e+02 -1.14689975e+02 | -3.78858056e+01 1.26155833e+02 -1.14689975e+02 7 6.09807651e+01 -3.75919886e+01 -3.59075661e+01 | 6.09807651e+01 -3.75919886e+01 -3.59075661e+01 8 5.65637848e+01 3.92809754e+01 1.52211998e+01 | 5.65637848e+01 3.92809754e+01 1.52211998e+01 9 -7.96587443e+01 -1.27844820e+02 1.35376341e+02 | -7.96587443e+01 -1.27844820e+02 1.35376341e+02 10 -3.78858056e+01 1.26155833e+02 -1.14689975e+02 | -3.78858056e+01 1.26155833e+02 -1.14689975e+02 11 6.09807651e+01 -3.75919886e+01 -3.59075661e+01 | 6.09807651e+01 -3.75919886e+01 -3.59075661e+01 12 5.65637848e+01 3.92809754e+01 1.52211998e+01 | 5.65637848e+01 3.92809754e+01 1.52211998e+01 13 -7.96587443e+01 -1.27844820e+02 1.35376341e+02 | -7.96587443e+01 -1.27844820e+02 1.35376341e+02 14 -3.78858056e+01 1.26155833e+02 -1.14689975e+02 | -3.78858056e+01 1.26155833e+02 -1.14689975e+02 15 6.09807651e+01 -3.75919886e+01 -3.59075661e+01 | 6.09807651e+01 -3.75919886e+01 -3.59075661e+01 16 5.65637848e+01 3.92809754e+01 1.52211998e+01 | 5.65637848e+01 3.92809754e+01 1.52211998e+01 17 -7.96587443e+01 -1.27844820e+02 1.35376341e+02 | -7.96587443e+01 -1.27844820e+02 1.35376341e+02 18 -3.78858056e+01 1.26155833e+02 -1.14689975e+02 | -3.78858056e+01 1.26155833e+02 -1.14689975e+02 19 6.09807651e+01 -3.75919886e+01 -3.59075661e+01 | 6.09807651e+01 -3.75919886e+01 -3.59075661e+01 20 5.65637848e+01 3.92809754e+01 1.52211998e+01 | 5.65637848e+01 3.92809754e+01 1.52211998e+01 21 -7.96587443e+01 -1.27844820e+02 1.35376341e+02 | -7.96587443e+01 -1.27844820e+02 1.35376341e+02 22 -3.78858056e+01 1.26155833e+02 -1.14689975e+02 | -3.78858056e+01 1.26155833e+02 -1.14689975e+02 23 6.09807651e+01 -3.75919886e+01 -3.59075661e+01 | 6.09807651e+01 -3.75919886e+01 -3.59075661e+01 24 5.65637848e+01 3.92809754e+01 1.52211998e+01 | 5.65637848e+01 3.92809754e+01 1.52211998e+01 25 -7.96587443e+01 -1.27844820e+02 1.35376341e+02 | -7.96587443e+01 -1.27844820e+02 1.35376341e+02 26 -3.78858056e+01 1.26155833e+02 -1.14689975e+02 | -3.78858056e+01 1.26155833e+02 -1.14689975e+02 27 6.09807651e+01 -3.75919886e+01 -3.59075661e+01 | 6.09807651e+01 -3.75919886e+01 -3.59075661e+01 28 5.65637848e+01 3.92809754e+01 1.52211998e+01 | 5.65637848e+01 3.92809754e+01 1.52211998e+01 29 -7.96587443e+01 -1.27844820e+02 1.35376341e+02 | -7.96587443e+01 -1.27844820e+02 1.35376341e+02 30 -3.78858056e+01 1.26155833e+02 -1.14689975e+02 | -3.78858056e+01 1.26155833e+02 -1.14689975e+02 31 6.09807651e+01 -3.75919886e+01 -3.59075661e+01 | 6.09807651e+01 -3.75919886e+01 -3.59075661e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Cr Fe W, PBC = TTF (Configuration in file "config-CrFeW-TTF.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=2 periodic directions, which means an increase by a factor n=2^2=4 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 55.16742526482286 2^p V(r_1,...,r_N) = 55.167425264822924 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -5.62665760e+00 2.29408502e+01 -4.57321122e+00 | -5.62665760e+00 2.29408502e+01 -4.57321122e+00 1 1.81246865e+01 -3.04198233e+01 -5.20163913e+01 | 1.81246865e+01 -3.04198233e+01 -5.20163913e+01 2 5.92995432e+00 1.15997681e+01 2.88203631e+01 | 5.92995432e+00 1.15997681e+01 2.88203631e+01 3 -1.84279832e+01 -4.12079505e+00 2.77692394e+01 | -1.84279832e+01 -4.12079505e+00 2.77692394e+01 4 -5.62665760e+00 2.29408502e+01 -4.57321122e+00 | -5.62665760e+00 2.29408502e+01 -4.57321122e+00 5 1.81246865e+01 -3.04198233e+01 -5.20163913e+01 | 1.81246865e+01 -3.04198233e+01 -5.20163913e+01 6 5.92995432e+00 1.15997681e+01 2.88203631e+01 | 5.92995432e+00 1.15997681e+01 2.88203631e+01 7 -1.84279832e+01 -4.12079505e+00 2.77692394e+01 | -1.84279832e+01 -4.12079505e+00 2.77692394e+01 8 -5.62665760e+00 2.29408502e+01 -4.57321122e+00 | -5.62665760e+00 2.29408502e+01 -4.57321122e+00 9 1.81246865e+01 -3.04198233e+01 -5.20163913e+01 | 1.81246865e+01 -3.04198233e+01 -5.20163913e+01 10 5.92995432e+00 1.15997681e+01 2.88203631e+01 | 5.92995432e+00 1.15997681e+01 2.88203631e+01 11 -1.84279832e+01 -4.12079505e+00 2.77692394e+01 | -1.84279832e+01 -4.12079505e+00 2.77692394e+01 12 -5.62665760e+00 2.29408502e+01 -4.57321122e+00 | -5.62665760e+00 2.29408502e+01 -4.57321122e+00 13 1.81246865e+01 -3.04198233e+01 -5.20163913e+01 | 1.81246865e+01 -3.04198233e+01 -5.20163913e+01 14 5.92995432e+00 1.15997681e+01 2.88203631e+01 | 5.92995432e+00 1.15997681e+01 2.88203631e+01 15 -1.84279832e+01 -4.12079505e+00 2.77692394e+01 | -1.84279832e+01 -4.12079505e+00 2.77692394e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Cr Fe W, PBC = TFT (Configuration in file "config-CrFeW-TFT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=2 periodic directions, which means an increase by a factor n=2^2=4 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 213.97724319437253 2^p V(r_1,...,r_N) = 213.97724319437248 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -8.66147129e+01 -1.29033256e+02 2.40795334e+01 | -8.66147129e+01 -1.29033256e+02 2.40795334e+01 1 5.88209816e+01 1.65870594e+02 3.54260148e+01 | 5.88209816e+01 1.65870594e+02 3.54260148e+01 2 3.32137407e+01 -7.07019580e+01 -6.84342326e+01 | 3.32137407e+01 -7.07019580e+01 -6.84342326e+01 3 -5.42000931e+00 3.38646193e+01 8.92868438e+00 | -5.42000931e+00 3.38646193e+01 8.92868438e+00 4 -8.66147129e+01 -1.29033256e+02 2.40795334e+01 | -8.66147129e+01 -1.29033256e+02 2.40795334e+01 5 5.88209816e+01 1.65870594e+02 3.54260148e+01 | 5.88209816e+01 1.65870594e+02 3.54260148e+01 6 3.32137407e+01 -7.07019580e+01 -6.84342326e+01 | 3.32137407e+01 -7.07019580e+01 -6.84342326e+01 7 -5.42000931e+00 3.38646193e+01 8.92868438e+00 | -5.42000931e+00 3.38646193e+01 8.92868438e+00 8 -8.66147129e+01 -1.29033256e+02 2.40795334e+01 | -8.66147129e+01 -1.29033256e+02 2.40795334e+01 9 5.88209816e+01 1.65870594e+02 3.54260148e+01 | 5.88209816e+01 1.65870594e+02 3.54260148e+01 10 3.32137407e+01 -7.07019580e+01 -6.84342326e+01 | 3.32137407e+01 -7.07019580e+01 -6.84342326e+01 11 -5.42000931e+00 3.38646193e+01 8.92868438e+00 | -5.42000931e+00 3.38646193e+01 8.92868438e+00 12 -8.66147129e+01 -1.29033256e+02 2.40795334e+01 | -8.66147129e+01 -1.29033256e+02 2.40795334e+01 13 5.88209816e+01 1.65870594e+02 3.54260148e+01 | 5.88209816e+01 1.65870594e+02 3.54260148e+01 14 3.32137407e+01 -7.07019580e+01 -6.84342326e+01 | 3.32137407e+01 -7.07019580e+01 -6.84342326e+01 15 -5.42000931e+00 3.38646193e+01 8.92868438e+00 | -5.42000931e+00 3.38646193e+01 8.92868438e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Cr Fe W, PBC = TFF (Configuration in file "config-CrFeW-TFF.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=1 periodic directions, which means an increase by a factor n=2^1=2 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = -1.634987179110248 2^p V(r_1,...,r_N) = -1.634987179110242 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 1.04909059e+01 -6.90929746e+00 -2.44152345e+01 | 1.04909059e+01 -6.90929746e+00 -2.44152345e+01 1 -2.94646347e+00 1.65447402e+01 -1.19686456e+01 | -2.94646347e+00 1.65447402e+01 -1.19686456e+01 2 -3.13153788e+00 -2.53184564e+01 3.31608004e+01 | -3.13153788e+00 -2.53184564e+01 3.31608004e+01 3 -4.41290461e+00 1.56830137e+01 3.22307971e+00 | -4.41290461e+00 1.56830137e+01 3.22307971e+00 4 1.04909059e+01 -6.90929746e+00 -2.44152345e+01 | 1.04909059e+01 -6.90929746e+00 -2.44152345e+01 5 -2.94646347e+00 1.65447402e+01 -1.19686456e+01 | -2.94646347e+00 1.65447402e+01 -1.19686456e+01 6 -3.13153788e+00 -2.53184564e+01 3.31608004e+01 | -3.13153788e+00 -2.53184564e+01 3.31608004e+01 7 -4.41290461e+00 1.56830137e+01 3.22307971e+00 | -4.41290461e+00 1.56830137e+01 3.22307971e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Cr Fe W, PBC = FTT (Configuration in file "config-CrFeW-FTT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=2 periodic directions, which means an increase by a factor n=2^2=4 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 169.15303904037032 2^p V(r_1,...,r_N) = 169.15303904037037 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -7.44435952e+01 -1.69718371e+01 -4.22099505e+01 | -7.44435952e+01 -1.69718371e+01 -4.22099505e+01 1 2.43337501e+01 2.11524724e+01 2.09394269e+01 | 2.43337501e+01 2.11524724e+01 2.09394269e+01 2 9.42242729e+01 -1.64695774e+01 2.33986077e+01 | 9.42242729e+01 -1.64695774e+01 2.33986077e+01 3 -4.41144277e+01 1.22889420e+01 -2.12808417e+00 | -4.41144277e+01 1.22889420e+01 -2.12808417e+00 4 -7.44435952e+01 -1.69718371e+01 -4.22099505e+01 | -7.44435952e+01 -1.69718371e+01 -4.22099505e+01 5 2.43337501e+01 2.11524724e+01 2.09394269e+01 | 2.43337501e+01 2.11524724e+01 2.09394269e+01 6 9.42242729e+01 -1.64695774e+01 2.33986077e+01 | 9.42242729e+01 -1.64695774e+01 2.33986077e+01 7 -4.41144277e+01 1.22889420e+01 -2.12808417e+00 | -4.41144277e+01 1.22889420e+01 -2.12808417e+00 8 -7.44435952e+01 -1.69718371e+01 -4.22099505e+01 | -7.44435952e+01 -1.69718371e+01 -4.22099505e+01 9 2.43337501e+01 2.11524724e+01 2.09394269e+01 | 2.43337501e+01 2.11524724e+01 2.09394269e+01 10 9.42242729e+01 -1.64695774e+01 2.33986077e+01 | 9.42242729e+01 -1.64695774e+01 2.33986077e+01 11 -4.41144277e+01 1.22889420e+01 -2.12808417e+00 | -4.41144277e+01 1.22889420e+01 -2.12808417e+00 12 -7.44435952e+01 -1.69718371e+01 -4.22099505e+01 | -7.44435952e+01 -1.69718371e+01 -4.22099505e+01 13 2.43337501e+01 2.11524724e+01 2.09394269e+01 | 2.43337501e+01 2.11524724e+01 2.09394269e+01 14 9.42242729e+01 -1.64695774e+01 2.33986077e+01 | 9.42242729e+01 -1.64695774e+01 2.33986077e+01 15 -4.41144277e+01 1.22889420e+01 -2.12808417e+00 | -4.41144277e+01 1.22889420e+01 -2.12808417e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Cr Fe W, PBC = FTF (Configuration in file "config-CrFeW-FTF.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=1 periodic directions, which means an increase by a factor n=2^1=2 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 79.9153243020088 2^p V(r_1,...,r_N) = 79.91532430200883 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -6.90573491e+01 7.93687677e+00 -5.64401810e+01 | -6.90573491e+01 7.93687677e+00 -5.64401810e+01 1 5.43745381e+01 -2.18604991e+01 -5.20682856e+01 | 5.43745381e+01 -2.18604991e+01 -5.20682856e+01 2 3.94409066e+01 2.51905947e+01 5.37572921e+01 | 3.94409066e+01 2.51905947e+01 5.37572921e+01 3 -2.47580956e+01 -1.12669723e+01 5.47511746e+01 | -2.47580956e+01 -1.12669723e+01 5.47511746e+01 4 -6.90573491e+01 7.93687677e+00 -5.64401810e+01 | -6.90573491e+01 7.93687677e+00 -5.64401810e+01 5 5.43745381e+01 -2.18604991e+01 -5.20682856e+01 | 5.43745381e+01 -2.18604991e+01 -5.20682856e+01 6 3.94409066e+01 2.51905947e+01 5.37572921e+01 | 3.94409066e+01 2.51905947e+01 5.37572921e+01 7 -2.47580956e+01 -1.12669723e+01 5.47511746e+01 | -2.47580956e+01 -1.12669723e+01 5.47511746e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Cr Fe W, PBC = FFT (Configuration in file "config-CrFeW-FFT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=1 periodic directions, which means an increase by a factor n=2^1=2 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = 96.37472415120918 2^p V(r_1,...,r_N) = 96.37472415120925 Forces requirement: f_k(DBL_p(r_1,...,r_N)) = f_(k % N)(r_1,...,r_N), where r_i is the position of atom i, f_k is the force on atom k (where k runs from 1 to the number of atoms in the doubled configuration), DBL_p doubles the configuration in p periodic directions, N is the number of atoms in the original configuration, and % is the modulo operator. k f_k(DBL_p(r_1,...,r_N)) f_(k % N)(r_1,...,r_N) ------------------------------------------------------------------------------------------------------------------------ 0 -3.18609519e+01 -2.95625652e+01 2.69607310e+01 | -3.18609519e+01 -2.95625652e+01 2.69607310e+01 1 3.73439116e+01 1.30661472e+02 -7.18906964e+01 | 3.73439116e+01 1.30661472e+02 -7.18906964e+01 2 8.51321630e+01 -1.48677165e+02 2.15054948e+01 | 8.51321630e+01 -1.48677165e+02 2.15054948e+01 3 -9.06151227e+01 4.75782587e+01 2.34244705e+01 | -9.06151227e+01 4.75782587e+01 2.34244705e+01 4 -3.18609519e+01 -2.95625652e+01 2.69607310e+01 | -3.18609519e+01 -2.95625652e+01 2.69607310e+01 5 3.73439116e+01 1.30661472e+02 -7.18906964e+01 | 3.73439116e+01 1.30661472e+02 -7.18906964e+01 6 8.51321630e+01 -1.48677165e+02 2.15054948e+01 | 8.51321630e+01 -1.48677165e+02 2.15054948e+01 7 -9.06151227e+01 4.75782587e+01 2.34244705e+01 | -9.06151227e+01 4.75782587e+01 2.34244705e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ ======================================================================================================================== ======================================================================================================================== To pass this verification check the model must correctly support periodic boundary conditions for all configurations it was able to compute. Grade: P Comment: Periodic boundary conditions were correctly supported for all configurations that the model was able to compute.