!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!! !!!!! !!!!! 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 : MEAM_LAMMPS_KimLee_2008_TiN__MO_070542625990_001 Supported species : N Ti random seed = 13 lattice constant (orig) = 3.000 perturbation amplitude = 0.300 number unit cells per side = 1 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = N, PBC = TTT (Configuration in file "config-N-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)) = 241.12808673821365 2^p V(r_1,...,r_N) = 241.12808673821385 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 2.06404648e+01 -5.08926502e+00 6.44760810e+00 | 2.06404648e+01 -5.08926502e+00 6.44760810e+00 1 3.10186737e+00 -1.61728877e+01 3.81104834e+00 | 3.10186737e+00 -1.61728877e+01 3.81104834e+00 2 -5.54976099e+00 -6.78369615e+00 1.49871531e+01 | -5.54976099e+00 -6.78369615e+00 1.49871531e+01 3 -1.81925712e+01 2.80458489e+01 -2.52458095e+01 | -1.81925712e+01 2.80458489e+01 -2.52458095e+01 4 2.06404648e+01 -5.08926502e+00 6.44760810e+00 | 2.06404648e+01 -5.08926502e+00 6.44760810e+00 5 3.10186737e+00 -1.61728877e+01 3.81104834e+00 | 3.10186737e+00 -1.61728877e+01 3.81104834e+00 6 -5.54976099e+00 -6.78369615e+00 1.49871531e+01 | -5.54976099e+00 -6.78369615e+00 1.49871531e+01 7 -1.81925712e+01 2.80458489e+01 -2.52458095e+01 | -1.81925712e+01 2.80458489e+01 -2.52458095e+01 8 2.06404648e+01 -5.08926502e+00 6.44760810e+00 | 2.06404648e+01 -5.08926502e+00 6.44760810e+00 9 3.10186737e+00 -1.61728877e+01 3.81104834e+00 | 3.10186737e+00 -1.61728877e+01 3.81104834e+00 10 -5.54976099e+00 -6.78369615e+00 1.49871531e+01 | -5.54976099e+00 -6.78369615e+00 1.49871531e+01 11 -1.81925712e+01 2.80458489e+01 -2.52458095e+01 | -1.81925712e+01 2.80458489e+01 -2.52458095e+01 12 2.06404648e+01 -5.08926502e+00 6.44760810e+00 | 2.06404648e+01 -5.08926502e+00 6.44760810e+00 13 3.10186737e+00 -1.61728877e+01 3.81104834e+00 | 3.10186737e+00 -1.61728877e+01 3.81104834e+00 14 -5.54976099e+00 -6.78369615e+00 1.49871531e+01 | -5.54976099e+00 -6.78369615e+00 1.49871531e+01 15 -1.81925712e+01 2.80458489e+01 -2.52458095e+01 | -1.81925712e+01 2.80458489e+01 -2.52458095e+01 16 2.06404648e+01 -5.08926502e+00 6.44760810e+00 | 2.06404648e+01 -5.08926502e+00 6.44760810e+00 17 3.10186737e+00 -1.61728877e+01 3.81104834e+00 | 3.10186737e+00 -1.61728877e+01 3.81104834e+00 18 -5.54976099e+00 -6.78369615e+00 1.49871531e+01 | -5.54976099e+00 -6.78369615e+00 1.49871531e+01 19 -1.81925712e+01 2.80458489e+01 -2.52458095e+01 | -1.81925712e+01 2.80458489e+01 -2.52458095e+01 20 2.06404648e+01 -5.08926502e+00 6.44760810e+00 | 2.06404648e+01 -5.08926502e+00 6.44760810e+00 21 3.10186737e+00 -1.61728877e+01 3.81104834e+00 | 3.10186737e+00 -1.61728877e+01 3.81104834e+00 22 -5.54976099e+00 -6.78369615e+00 1.49871531e+01 | -5.54976099e+00 -6.78369615e+00 1.49871531e+01 23 -1.81925712e+01 2.80458489e+01 -2.52458095e+01 | -1.81925712e+01 2.80458489e+01 -2.52458095e+01 24 2.06404648e+01 -5.08926502e+00 6.44760810e+00 | 2.06404648e+01 -5.08926502e+00 6.44760810e+00 25 3.10186737e+00 -1.61728877e+01 3.81104834e+00 | 3.10186737e+00 -1.61728877e+01 3.81104834e+00 26 -5.54976099e+00 -6.78369615e+00 1.49871531e+01 | -5.54976099e+00 -6.78369615e+00 1.49871531e+01 27 -1.81925712e+01 2.80458489e+01 -2.52458095e+01 | -1.81925712e+01 2.80458489e+01 -2.52458095e+01 28 2.06404648e+01 -5.08926502e+00 6.44760810e+00 | 2.06404648e+01 -5.08926502e+00 6.44760810e+00 29 3.10186737e+00 -1.61728877e+01 3.81104834e+00 | 3.10186737e+00 -1.61728877e+01 3.81104834e+00 30 -5.54976099e+00 -6.78369615e+00 1.49871531e+01 | -5.54976099e+00 -6.78369615e+00 1.49871531e+01 31 -1.81925712e+01 2.80458489e+01 -2.52458095e+01 | -1.81925712e+01 2.80458489e+01 -2.52458095e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = N, PBC = TTF (Configuration in file "config-N-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)) = 84.6751011147222 2^p V(r_1,...,r_N) = 84.67510111472221 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 1.11547140e+01 1.53494955e+01 -2.25692657e+01 | 1.11547140e+01 1.53494955e+01 -2.25692657e+01 1 -1.52051694e+01 -3.27359346e+01 1.90886860e+01 | -1.52051694e+01 -3.27359346e+01 1.90886860e+01 2 4.13899552e+00 8.28753833e+00 1.07841005e+00 | 4.13899552e+00 8.28753833e+00 1.07841005e+00 3 -8.85401546e-02 9.09890080e+00 2.40216965e+00 | -8.85401546e-02 9.09890080e+00 2.40216965e+00 4 1.11547140e+01 1.53494955e+01 -2.25692657e+01 | 1.11547140e+01 1.53494955e+01 -2.25692657e+01 5 -1.52051694e+01 -3.27359346e+01 1.90886860e+01 | -1.52051694e+01 -3.27359346e+01 1.90886860e+01 6 4.13899552e+00 8.28753833e+00 1.07841005e+00 | 4.13899552e+00 8.28753833e+00 1.07841005e+00 7 -8.85401546e-02 9.09890080e+00 2.40216965e+00 | -8.85401546e-02 9.09890080e+00 2.40216965e+00 8 1.11547140e+01 1.53494955e+01 -2.25692657e+01 | 1.11547140e+01 1.53494955e+01 -2.25692657e+01 9 -1.52051694e+01 -3.27359346e+01 1.90886860e+01 | -1.52051694e+01 -3.27359346e+01 1.90886860e+01 10 4.13899552e+00 8.28753833e+00 1.07841005e+00 | 4.13899552e+00 8.28753833e+00 1.07841005e+00 11 -8.85401546e-02 9.09890080e+00 2.40216965e+00 | -8.85401546e-02 9.09890080e+00 2.40216965e+00 12 1.11547140e+01 1.53494955e+01 -2.25692657e+01 | 1.11547140e+01 1.53494955e+01 -2.25692657e+01 13 -1.52051694e+01 -3.27359346e+01 1.90886860e+01 | -1.52051694e+01 -3.27359346e+01 1.90886860e+01 14 4.13899552e+00 8.28753833e+00 1.07841005e+00 | 4.13899552e+00 8.28753833e+00 1.07841005e+00 15 -8.85401546e-02 9.09890080e+00 2.40216965e+00 | -8.85401546e-02 9.09890080e+00 2.40216965e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = N, PBC = TFT (Configuration in file "config-N-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)) = 77.19973117239196 2^p V(r_1,...,r_N) = 77.199731172392 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 -5.61822180e+00 1.78189574e+00 -1.14825044e+01 | -5.61822180e+00 1.78189574e+00 -1.14825044e+01 1 -1.86024711e+01 -1.72580269e+01 -5.40564566e+00 | -1.86024711e+01 -1.72580269e+01 -5.40564566e+00 2 2.75592325e+01 1.80299520e+01 1.94409048e+01 | 2.75592325e+01 1.80299520e+01 1.94409048e+01 3 -3.33853961e+00 -2.55382082e+00 -2.55275472e+00 | -3.33853961e+00 -2.55382082e+00 -2.55275472e+00 4 -5.61822180e+00 1.78189574e+00 -1.14825044e+01 | -5.61822180e+00 1.78189574e+00 -1.14825044e+01 5 -1.86024711e+01 -1.72580269e+01 -5.40564566e+00 | -1.86024711e+01 -1.72580269e+01 -5.40564566e+00 6 2.75592325e+01 1.80299520e+01 1.94409048e+01 | 2.75592325e+01 1.80299520e+01 1.94409048e+01 7 -3.33853961e+00 -2.55382082e+00 -2.55275472e+00 | -3.33853961e+00 -2.55382082e+00 -2.55275472e+00 8 -5.61822180e+00 1.78189574e+00 -1.14825044e+01 | -5.61822180e+00 1.78189574e+00 -1.14825044e+01 9 -1.86024711e+01 -1.72580269e+01 -5.40564566e+00 | -1.86024711e+01 -1.72580269e+01 -5.40564566e+00 10 2.75592325e+01 1.80299520e+01 1.94409048e+01 | 2.75592325e+01 1.80299520e+01 1.94409048e+01 11 -3.33853961e+00 -2.55382082e+00 -2.55275472e+00 | -3.33853961e+00 -2.55382082e+00 -2.55275472e+00 12 -5.61822180e+00 1.78189574e+00 -1.14825044e+01 | -5.61822180e+00 1.78189574e+00 -1.14825044e+01 13 -1.86024711e+01 -1.72580269e+01 -5.40564566e+00 | -1.86024711e+01 -1.72580269e+01 -5.40564566e+00 14 2.75592325e+01 1.80299520e+01 1.94409048e+01 | 2.75592325e+01 1.80299520e+01 1.94409048e+01 15 -3.33853961e+00 -2.55382082e+00 -2.55275472e+00 | -3.33853961e+00 -2.55382082e+00 -2.55275472e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = N, PBC = TFF (Configuration in file "config-N-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)) = 15.39842020126746 2^p V(r_1,...,r_N) = 15.398420201267477 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 -3.06238358e+01 -2.13192667e+01 7.56718341e-01 | -3.06238358e+01 -2.13192667e+01 7.56718341e-01 1 5.02174804e+00 7.36116286e+00 -1.74578472e+01 | 5.02174804e+00 7.36116286e+00 -1.74578472e+01 2 4.39965968e+01 -5.18684558e-01 -1.50700874e+01 | 4.39965968e+01 -5.18684558e-01 -1.50700874e+01 3 -1.83945091e+01 1.44767884e+01 3.17712162e+01 | -1.83945091e+01 1.44767884e+01 3.17712162e+01 4 -3.06238358e+01 -2.13192667e+01 7.56718341e-01 | -3.06238358e+01 -2.13192667e+01 7.56718341e-01 5 5.02174804e+00 7.36116286e+00 -1.74578472e+01 | 5.02174804e+00 7.36116286e+00 -1.74578472e+01 6 4.39965968e+01 -5.18684558e-01 -1.50700874e+01 | 4.39965968e+01 -5.18684558e-01 -1.50700874e+01 7 -1.83945091e+01 1.44767884e+01 3.17712162e+01 | -1.83945091e+01 1.44767884e+01 3.17712162e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = N, PBC = FTT (Configuration in file "config-N-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)) = 70.59412590859984 2^p V(r_1,...,r_N) = 70.59412590859989 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 -2.38238695e+01 -9.18725229e+00 -4.15642876e+00 | -2.38238695e+01 -9.18725229e+00 -4.15642876e+00 1 1.19856964e+01 2.34375144e+01 3.97362865e+00 | 1.19856964e+01 2.34375144e+01 3.97362865e+00 2 -2.07158074e+00 -3.85494842e+01 1.92578892e+01 | -2.07158074e+00 -3.85494842e+01 1.92578892e+01 3 1.39097538e+01 2.42992221e+01 -1.90750891e+01 | 1.39097538e+01 2.42992221e+01 -1.90750891e+01 4 -2.38238695e+01 -9.18725229e+00 -4.15642876e+00 | -2.38238695e+01 -9.18725229e+00 -4.15642876e+00 5 1.19856964e+01 2.34375144e+01 3.97362865e+00 | 1.19856964e+01 2.34375144e+01 3.97362865e+00 6 -2.07158074e+00 -3.85494842e+01 1.92578892e+01 | -2.07158074e+00 -3.85494842e+01 1.92578892e+01 7 1.39097538e+01 2.42992221e+01 -1.90750891e+01 | 1.39097538e+01 2.42992221e+01 -1.90750891e+01 8 -2.38238695e+01 -9.18725229e+00 -4.15642876e+00 | -2.38238695e+01 -9.18725229e+00 -4.15642876e+00 9 1.19856964e+01 2.34375144e+01 3.97362865e+00 | 1.19856964e+01 2.34375144e+01 3.97362865e+00 10 -2.07158074e+00 -3.85494842e+01 1.92578892e+01 | -2.07158074e+00 -3.85494842e+01 1.92578892e+01 11 1.39097538e+01 2.42992221e+01 -1.90750891e+01 | 1.39097538e+01 2.42992221e+01 -1.90750891e+01 12 -2.38238695e+01 -9.18725229e+00 -4.15642876e+00 | -2.38238695e+01 -9.18725229e+00 -4.15642876e+00 13 1.19856964e+01 2.34375144e+01 3.97362865e+00 | 1.19856964e+01 2.34375144e+01 3.97362865e+00 14 -2.07158074e+00 -3.85494842e+01 1.92578892e+01 | -2.07158074e+00 -3.85494842e+01 1.92578892e+01 15 1.39097538e+01 2.42992221e+01 -1.90750891e+01 | 1.39097538e+01 2.42992221e+01 -1.90750891e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = N, PBC = FTF (Configuration in file "config-N-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)) = 15.715601673556906 2^p V(r_1,...,r_N) = 15.715601673556918 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 1.82755044e+01 4.20610365e+01 2.54739730e+01 | 1.82755044e+01 4.20610365e+01 2.54739730e+01 1 2.28801110e+00 -1.05013922e+01 1.49517157e+00 | 2.28801110e+00 -1.05013922e+01 1.49517157e+00 2 -1.35269238e+01 -4.35289769e+01 -2.12718666e+01 | -1.35269238e+01 -4.35289769e+01 -2.12718666e+01 3 -7.03659172e+00 1.19693325e+01 -5.69727801e+00 | -7.03659172e+00 1.19693325e+01 -5.69727801e+00 4 1.82755044e+01 4.20610365e+01 2.54739730e+01 | 1.82755044e+01 4.20610365e+01 2.54739730e+01 5 2.28801110e+00 -1.05013922e+01 1.49517157e+00 | 2.28801110e+00 -1.05013922e+01 1.49517157e+00 6 -1.35269238e+01 -4.35289769e+01 -2.12718666e+01 | -1.35269238e+01 -4.35289769e+01 -2.12718666e+01 7 -7.03659172e+00 1.19693325e+01 -5.69727801e+00 | -7.03659172e+00 1.19693325e+01 -5.69727801e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = N, PBC = FFT (Configuration in file "config-N-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)) = 20.618205533717898 2^p V(r_1,...,r_N) = 20.61820553371791 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 1.25199190e+01 6.74682265e+00 -4.18899548e+01 | 1.25199190e+01 6.74682265e+00 -4.18899548e+01 1 -3.55898124e+01 -3.61438903e+01 -5.24647884e+00 | -3.55898124e+01 -3.61438903e+01 -5.24647884e+00 2 1.56520418e+01 1.21567954e+01 2.96057666e+01 | 1.56520418e+01 1.21567954e+01 2.96057666e+01 3 7.41785155e+00 1.72402722e+01 1.75306670e+01 | 7.41785155e+00 1.72402722e+01 1.75306670e+01 4 1.25199190e+01 6.74682265e+00 -4.18899548e+01 | 1.25199190e+01 6.74682265e+00 -4.18899548e+01 5 -3.55898124e+01 -3.61438903e+01 -5.24647884e+00 | -3.55898124e+01 -3.61438903e+01 -5.24647884e+00 6 1.56520418e+01 1.21567954e+01 2.96057666e+01 | 1.56520418e+01 1.21567954e+01 2.96057666e+01 7 7.41785155e+00 1.72402722e+01 1.75306670e+01 | 7.41785155e+00 1.72402722e+01 1.75306670e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Ti, PBC = TTT (Configuration in file "config-Ti-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)) = 223.26220854330495 2^p V(r_1,...,r_N) = 223.26220854330543 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 -1.71071754e+00 -1.13860471e+00 -1.41979106e+01 | -1.71071754e+00 -1.13860471e+00 -1.41979106e+01 1 -1.12151726e+01 4.97312718e+00 -1.63286081e+01 | -1.12151726e+01 4.97312718e+00 -1.63286081e+01 2 1.67632992e+00 -5.89258637e+00 1.21929793e+01 | 1.67632992e+00 -5.89258637e+00 1.21929793e+01 3 1.12495602e+01 2.05806391e+00 1.83335395e+01 | 1.12495602e+01 2.05806391e+00 1.83335395e+01 4 -1.71071754e+00 -1.13860471e+00 -1.41979106e+01 | -1.71071754e+00 -1.13860471e+00 -1.41979106e+01 5 -1.12151726e+01 4.97312718e+00 -1.63286081e+01 | -1.12151726e+01 4.97312718e+00 -1.63286081e+01 6 1.67632992e+00 -5.89258637e+00 1.21929793e+01 | 1.67632992e+00 -5.89258637e+00 1.21929793e+01 7 1.12495602e+01 2.05806391e+00 1.83335395e+01 | 1.12495602e+01 2.05806391e+00 1.83335395e+01 8 -1.71071754e+00 -1.13860471e+00 -1.41979106e+01 | -1.71071754e+00 -1.13860471e+00 -1.41979106e+01 9 -1.12151726e+01 4.97312718e+00 -1.63286081e+01 | -1.12151726e+01 4.97312718e+00 -1.63286081e+01 10 1.67632992e+00 -5.89258637e+00 1.21929793e+01 | 1.67632992e+00 -5.89258637e+00 1.21929793e+01 11 1.12495602e+01 2.05806391e+00 1.83335395e+01 | 1.12495602e+01 2.05806391e+00 1.83335395e+01 12 -1.71071754e+00 -1.13860471e+00 -1.41979106e+01 | -1.71071754e+00 -1.13860471e+00 -1.41979106e+01 13 -1.12151726e+01 4.97312718e+00 -1.63286081e+01 | -1.12151726e+01 4.97312718e+00 -1.63286081e+01 14 1.67632992e+00 -5.89258637e+00 1.21929793e+01 | 1.67632992e+00 -5.89258637e+00 1.21929793e+01 15 1.12495602e+01 2.05806391e+00 1.83335395e+01 | 1.12495602e+01 2.05806391e+00 1.83335395e+01 16 -1.71071754e+00 -1.13860471e+00 -1.41979106e+01 | -1.71071754e+00 -1.13860471e+00 -1.41979106e+01 17 -1.12151726e+01 4.97312718e+00 -1.63286081e+01 | -1.12151726e+01 4.97312718e+00 -1.63286081e+01 18 1.67632992e+00 -5.89258637e+00 1.21929793e+01 | 1.67632992e+00 -5.89258637e+00 1.21929793e+01 19 1.12495602e+01 2.05806391e+00 1.83335395e+01 | 1.12495602e+01 2.05806391e+00 1.83335395e+01 20 -1.71071754e+00 -1.13860471e+00 -1.41979106e+01 | -1.71071754e+00 -1.13860471e+00 -1.41979106e+01 21 -1.12151726e+01 4.97312718e+00 -1.63286081e+01 | -1.12151726e+01 4.97312718e+00 -1.63286081e+01 22 1.67632992e+00 -5.89258637e+00 1.21929793e+01 | 1.67632992e+00 -5.89258637e+00 1.21929793e+01 23 1.12495602e+01 2.05806391e+00 1.83335395e+01 | 1.12495602e+01 2.05806391e+00 1.83335395e+01 24 -1.71071754e+00 -1.13860471e+00 -1.41979106e+01 | -1.71071754e+00 -1.13860471e+00 -1.41979106e+01 25 -1.12151726e+01 4.97312718e+00 -1.63286081e+01 | -1.12151726e+01 4.97312718e+00 -1.63286081e+01 26 1.67632992e+00 -5.89258637e+00 1.21929793e+01 | 1.67632992e+00 -5.89258637e+00 1.21929793e+01 27 1.12495602e+01 2.05806391e+00 1.83335395e+01 | 1.12495602e+01 2.05806391e+00 1.83335395e+01 28 -1.71071754e+00 -1.13860471e+00 -1.41979106e+01 | -1.71071754e+00 -1.13860471e+00 -1.41979106e+01 29 -1.12151726e+01 4.97312718e+00 -1.63286081e+01 | -1.12151726e+01 4.97312718e+00 -1.63286081e+01 30 1.67632992e+00 -5.89258637e+00 1.21929793e+01 | 1.67632992e+00 -5.89258637e+00 1.21929793e+01 31 1.12495602e+01 2.05806391e+00 1.83335395e+01 | 1.12495602e+01 2.05806391e+00 1.83335395e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Ti, PBC = TTF (Configuration in file "config-Ti-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)) = 114.85089222264057 2^p V(r_1,...,r_N) = 114.85089222264061 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 -1.30637160e+01 2.28768394e+01 -3.24807541e+01 | -1.30637160e+01 2.28768394e+01 -3.24807541e+01 1 1.23784850e+01 -1.17904110e+01 -2.09735477e+01 | 1.23784850e+01 -1.17904110e+01 -2.09735477e+01 2 1.51258791e+01 1.31119860e+01 2.29962201e+01 | 1.51258791e+01 1.31119860e+01 2.29962201e+01 3 -1.44406481e+01 -2.41984143e+01 3.04580817e+01 | -1.44406481e+01 -2.41984143e+01 3.04580817e+01 4 -1.30637160e+01 2.28768394e+01 -3.24807541e+01 | -1.30637160e+01 2.28768394e+01 -3.24807541e+01 5 1.23784850e+01 -1.17904110e+01 -2.09735477e+01 | 1.23784850e+01 -1.17904110e+01 -2.09735477e+01 6 1.51258791e+01 1.31119860e+01 2.29962201e+01 | 1.51258791e+01 1.31119860e+01 2.29962201e+01 7 -1.44406481e+01 -2.41984143e+01 3.04580817e+01 | -1.44406481e+01 -2.41984143e+01 3.04580817e+01 8 -1.30637160e+01 2.28768394e+01 -3.24807541e+01 | -1.30637160e+01 2.28768394e+01 -3.24807541e+01 9 1.23784850e+01 -1.17904110e+01 -2.09735477e+01 | 1.23784850e+01 -1.17904110e+01 -2.09735477e+01 10 1.51258791e+01 1.31119860e+01 2.29962201e+01 | 1.51258791e+01 1.31119860e+01 2.29962201e+01 11 -1.44406481e+01 -2.41984143e+01 3.04580817e+01 | -1.44406481e+01 -2.41984143e+01 3.04580817e+01 12 -1.30637160e+01 2.28768394e+01 -3.24807541e+01 | -1.30637160e+01 2.28768394e+01 -3.24807541e+01 13 1.23784850e+01 -1.17904110e+01 -2.09735477e+01 | 1.23784850e+01 -1.17904110e+01 -2.09735477e+01 14 1.51258791e+01 1.31119860e+01 2.29962201e+01 | 1.51258791e+01 1.31119860e+01 2.29962201e+01 15 -1.44406481e+01 -2.41984143e+01 3.04580817e+01 | -1.44406481e+01 -2.41984143e+01 3.04580817e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Ti, PBC = TFT (Configuration in file "config-Ti-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)) = 90.77177375694707 2^p V(r_1,...,r_N) = 90.77177375694714 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 -6.49153452e+00 -1.95137215e+01 -6.89019728e+00 | -6.49153452e+00 -1.95137215e+01 -6.89019728e+00 1 1.83557563e+00 2.67711506e+01 -1.77113446e+01 | 1.83557563e+00 2.67711506e+01 -1.77113446e+01 2 9.96059640e-01 -2.69717423e+01 1.51900948e+01 | 9.96059640e-01 -2.69717423e+01 1.51900948e+01 3 3.65989925e+00 1.97143131e+01 9.41144703e+00 | 3.65989925e+00 1.97143131e+01 9.41144703e+00 4 -6.49153452e+00 -1.95137215e+01 -6.89019728e+00 | -6.49153452e+00 -1.95137215e+01 -6.89019728e+00 5 1.83557563e+00 2.67711506e+01 -1.77113446e+01 | 1.83557563e+00 2.67711506e+01 -1.77113446e+01 6 9.96059640e-01 -2.69717423e+01 1.51900948e+01 | 9.96059640e-01 -2.69717423e+01 1.51900948e+01 7 3.65989925e+00 1.97143131e+01 9.41144703e+00 | 3.65989925e+00 1.97143131e+01 9.41144703e+00 8 -6.49153452e+00 -1.95137215e+01 -6.89019728e+00 | -6.49153452e+00 -1.95137215e+01 -6.89019728e+00 9 1.83557563e+00 2.67711506e+01 -1.77113446e+01 | 1.83557563e+00 2.67711506e+01 -1.77113446e+01 10 9.96059640e-01 -2.69717423e+01 1.51900948e+01 | 9.96059640e-01 -2.69717423e+01 1.51900948e+01 11 3.65989925e+00 1.97143131e+01 9.41144703e+00 | 3.65989925e+00 1.97143131e+01 9.41144703e+00 12 -6.49153452e+00 -1.95137215e+01 -6.89019728e+00 | -6.49153452e+00 -1.95137215e+01 -6.89019728e+00 13 1.83557563e+00 2.67711506e+01 -1.77113446e+01 | 1.83557563e+00 2.67711506e+01 -1.77113446e+01 14 9.96059640e-01 -2.69717423e+01 1.51900948e+01 | 9.96059640e-01 -2.69717423e+01 1.51900948e+01 15 3.65989925e+00 1.97143131e+01 9.41144703e+00 | 3.65989925e+00 1.97143131e+01 9.41144703e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Ti, PBC = TFF (Configuration in file "config-Ti-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)) = 26.634693289468633 2^p V(r_1,...,r_N) = 26.634693289468636 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 7.05099869e+00 -1.55069750e+01 -1.44180893e+01 | 7.05099869e+00 -1.55069750e+01 -1.44180893e+01 1 -9.47974551e+00 1.50618236e+01 -1.52094114e+01 | -9.47974551e+00 1.50618236e+01 -1.52094114e+01 2 -1.07407797e+01 -1.67694662e+01 1.34070421e+01 | -1.07407797e+01 -1.67694662e+01 1.34070421e+01 3 1.31695265e+01 1.72146176e+01 1.62204586e+01 | 1.31695265e+01 1.72146176e+01 1.62204586e+01 4 7.05099869e+00 -1.55069750e+01 -1.44180893e+01 | 7.05099869e+00 -1.55069750e+01 -1.44180893e+01 5 -9.47974551e+00 1.50618236e+01 -1.52094114e+01 | -9.47974551e+00 1.50618236e+01 -1.52094114e+01 6 -1.07407797e+01 -1.67694662e+01 1.34070421e+01 | -1.07407797e+01 -1.67694662e+01 1.34070421e+01 7 1.31695265e+01 1.72146176e+01 1.62204586e+01 | 1.31695265e+01 1.72146176e+01 1.62204586e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Ti, PBC = FTT (Configuration in file "config-Ti-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)) = 104.4587792559451 2^p V(r_1,...,r_N) = 104.45877925594522 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 -2.03863213e+01 1.08345616e+01 1.93827211e+01 | -2.03863213e+01 1.08345616e+01 1.93827211e+01 1 2.08985334e+01 -4.44517170e+00 9.91112466e+00 | 2.08985334e+01 -4.44517170e+00 9.91112466e+00 2 2.96354247e+01 1.45814562e+01 -1.86936565e+01 | 2.96354247e+01 1.45814562e+01 -1.86936565e+01 3 -3.01476369e+01 -2.09708461e+01 -1.06001893e+01 | -3.01476369e+01 -2.09708461e+01 -1.06001893e+01 4 -2.03863213e+01 1.08345616e+01 1.93827211e+01 | -2.03863213e+01 1.08345616e+01 1.93827211e+01 5 2.08985334e+01 -4.44517170e+00 9.91112466e+00 | 2.08985334e+01 -4.44517170e+00 9.91112466e+00 6 2.96354247e+01 1.45814562e+01 -1.86936565e+01 | 2.96354247e+01 1.45814562e+01 -1.86936565e+01 7 -3.01476369e+01 -2.09708461e+01 -1.06001893e+01 | -3.01476369e+01 -2.09708461e+01 -1.06001893e+01 8 -2.03863213e+01 1.08345616e+01 1.93827211e+01 | -2.03863213e+01 1.08345616e+01 1.93827211e+01 9 2.08985334e+01 -4.44517170e+00 9.91112466e+00 | 2.08985334e+01 -4.44517170e+00 9.91112466e+00 10 2.96354247e+01 1.45814562e+01 -1.86936565e+01 | 2.96354247e+01 1.45814562e+01 -1.86936565e+01 11 -3.01476369e+01 -2.09708461e+01 -1.06001893e+01 | -3.01476369e+01 -2.09708461e+01 -1.06001893e+01 12 -2.03863213e+01 1.08345616e+01 1.93827211e+01 | -2.03863213e+01 1.08345616e+01 1.93827211e+01 13 2.08985334e+01 -4.44517170e+00 9.91112466e+00 | 2.08985334e+01 -4.44517170e+00 9.91112466e+00 14 2.96354247e+01 1.45814562e+01 -1.86936565e+01 | 2.96354247e+01 1.45814562e+01 -1.86936565e+01 15 -3.01476369e+01 -2.09708461e+01 -1.06001893e+01 | -3.01476369e+01 -2.09708461e+01 -1.06001893e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Ti, PBC = FTF (Configuration in file "config-Ti-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)) = 20.822934373145873 2^p V(r_1,...,r_N) = 20.82293437314588 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 -1.24688311e+01 2.81503431e+00 -1.74840256e+01 | -1.24688311e+01 2.81503431e+00 -1.74840256e+01 1 1.93609833e+01 -2.89726973e+00 -1.10030982e+01 | 1.93609833e+01 -2.89726973e+00 -1.10030982e+01 2 1.09399569e+01 3.76017534e+00 1.59275214e+01 | 1.09399569e+01 3.76017534e+00 1.59275214e+01 3 -1.78321090e+01 -3.67793993e+00 1.25596025e+01 | -1.78321090e+01 -3.67793993e+00 1.25596025e+01 4 -1.24688311e+01 2.81503431e+00 -1.74840256e+01 | -1.24688311e+01 2.81503431e+00 -1.74840256e+01 5 1.93609833e+01 -2.89726973e+00 -1.10030982e+01 | 1.93609833e+01 -2.89726973e+00 -1.10030982e+01 6 1.09399569e+01 3.76017534e+00 1.59275214e+01 | 1.09399569e+01 3.76017534e+00 1.59275214e+01 7 -1.78321090e+01 -3.67793993e+00 1.25596025e+01 | -1.78321090e+01 -3.67793993e+00 1.25596025e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Ti, PBC = FFT (Configuration in file "config-Ti-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)) = 29.82609678241038 2^p V(r_1,...,r_N) = 29.8260967824104 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 -1.32516886e+01 -1.92779138e+01 -1.00784259e+01 | -1.32516886e+01 -1.92779138e+01 -1.00784259e+01 1 1.18566399e+01 1.63180499e+01 -3.83501191e+00 | 1.18566399e+01 1.63180499e+01 -3.83501191e+00 2 2.33804483e+01 -1.48003052e+01 6.47265964e+00 | 2.33804483e+01 -1.48003052e+01 6.47265964e+00 3 -2.19853996e+01 1.77601691e+01 7.44077815e+00 | -2.19853996e+01 1.77601691e+01 7.44077815e+00 4 -1.32516886e+01 -1.92779138e+01 -1.00784259e+01 | -1.32516886e+01 -1.92779138e+01 -1.00784259e+01 5 1.18566399e+01 1.63180499e+01 -3.83501191e+00 | 1.18566399e+01 1.63180499e+01 -3.83501191e+00 6 2.33804483e+01 -1.48003052e+01 6.47265964e+00 | 2.33804483e+01 -1.48003052e+01 6.47265964e+00 7 -2.19853996e+01 1.77601691e+01 7.44077815e+00 | -2.19853996e+01 1.77601691e+01 7.44077815e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = N Ti, PBC = TTT (Configuration in file "config-NTi-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)) = -64.75617991936411 2^p V(r_1,...,r_N) = -64.75617991936403 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 -8.32608926e+00 -9.46488713e+00 -3.15463738e+00 | -8.32608926e+00 -9.46488713e+00 -3.15463738e+00 1 1.20006574e+01 4.10699487e+00 -9.09345226e+00 | 1.20006574e+01 4.10699487e+00 -9.09345226e+00 2 4.18109825e+00 7.57303468e+00 3.73083967e+00 | 4.18109825e+00 7.57303468e+00 3.73083967e+00 3 -7.85566643e+00 -2.21514242e+00 8.51724997e+00 | -7.85566643e+00 -2.21514242e+00 8.51724997e+00 4 -8.32608926e+00 -9.46488713e+00 -3.15463738e+00 | -8.32608926e+00 -9.46488713e+00 -3.15463738e+00 5 1.20006574e+01 4.10699487e+00 -9.09345226e+00 | 1.20006574e+01 4.10699487e+00 -9.09345226e+00 6 4.18109825e+00 7.57303468e+00 3.73083967e+00 | 4.18109825e+00 7.57303468e+00 3.73083967e+00 7 -7.85566643e+00 -2.21514242e+00 8.51724997e+00 | -7.85566643e+00 -2.21514242e+00 8.51724997e+00 8 -8.32608926e+00 -9.46488713e+00 -3.15463738e+00 | -8.32608926e+00 -9.46488713e+00 -3.15463738e+00 9 1.20006574e+01 4.10699487e+00 -9.09345226e+00 | 1.20006574e+01 4.10699487e+00 -9.09345226e+00 10 4.18109825e+00 7.57303468e+00 3.73083967e+00 | 4.18109825e+00 7.57303468e+00 3.73083967e+00 11 -7.85566643e+00 -2.21514242e+00 8.51724997e+00 | -7.85566643e+00 -2.21514242e+00 8.51724997e+00 12 -8.32608926e+00 -9.46488713e+00 -3.15463738e+00 | -8.32608926e+00 -9.46488713e+00 -3.15463738e+00 13 1.20006574e+01 4.10699487e+00 -9.09345226e+00 | 1.20006574e+01 4.10699487e+00 -9.09345226e+00 14 4.18109825e+00 7.57303468e+00 3.73083967e+00 | 4.18109825e+00 7.57303468e+00 3.73083967e+00 15 -7.85566643e+00 -2.21514242e+00 8.51724997e+00 | -7.85566643e+00 -2.21514242e+00 8.51724997e+00 16 -8.32608926e+00 -9.46488713e+00 -3.15463738e+00 | -8.32608926e+00 -9.46488713e+00 -3.15463738e+00 17 1.20006574e+01 4.10699487e+00 -9.09345226e+00 | 1.20006574e+01 4.10699487e+00 -9.09345226e+00 18 4.18109825e+00 7.57303468e+00 3.73083967e+00 | 4.18109825e+00 7.57303468e+00 3.73083967e+00 19 -7.85566643e+00 -2.21514242e+00 8.51724997e+00 | -7.85566643e+00 -2.21514242e+00 8.51724997e+00 20 -8.32608926e+00 -9.46488713e+00 -3.15463738e+00 | -8.32608926e+00 -9.46488713e+00 -3.15463738e+00 21 1.20006574e+01 4.10699487e+00 -9.09345226e+00 | 1.20006574e+01 4.10699487e+00 -9.09345226e+00 22 4.18109825e+00 7.57303468e+00 3.73083967e+00 | 4.18109825e+00 7.57303468e+00 3.73083967e+00 23 -7.85566643e+00 -2.21514242e+00 8.51724997e+00 | -7.85566643e+00 -2.21514242e+00 8.51724997e+00 24 -8.32608926e+00 -9.46488713e+00 -3.15463738e+00 | -8.32608926e+00 -9.46488713e+00 -3.15463738e+00 25 1.20006574e+01 4.10699487e+00 -9.09345226e+00 | 1.20006574e+01 4.10699487e+00 -9.09345226e+00 26 4.18109825e+00 7.57303468e+00 3.73083967e+00 | 4.18109825e+00 7.57303468e+00 3.73083967e+00 27 -7.85566643e+00 -2.21514242e+00 8.51724997e+00 | -7.85566643e+00 -2.21514242e+00 8.51724997e+00 28 -8.32608926e+00 -9.46488713e+00 -3.15463738e+00 | -8.32608926e+00 -9.46488713e+00 -3.15463738e+00 29 1.20006574e+01 4.10699487e+00 -9.09345226e+00 | 1.20006574e+01 4.10699487e+00 -9.09345226e+00 30 4.18109825e+00 7.57303468e+00 3.73083967e+00 | 4.18109825e+00 7.57303468e+00 3.73083967e+00 31 -7.85566643e+00 -2.21514242e+00 8.51724997e+00 | -7.85566643e+00 -2.21514242e+00 8.51724997e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = N Ti, PBC = TTF (Configuration in file "config-NTi-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)) = -11.656454322281316 2^p V(r_1,...,r_N) = -11.656454322281323 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 -1.62956869e+01 2.49904621e+00 -5.64957093e+00 | -1.62956869e+01 2.49904621e+00 -5.64957093e+00 1 1.35626644e+01 -7.99247707e+00 -7.28225557e+00 | 1.35626644e+01 -7.99247707e+00 -7.28225557e+00 2 8.52558071e+00 4.87337184e+00 6.85677310e+00 | 8.52558071e+00 4.87337184e+00 6.85677310e+00 3 -5.79255824e+00 6.20059024e-01 6.07505340e+00 | -5.79255824e+00 6.20059024e-01 6.07505340e+00 4 -1.62956869e+01 2.49904621e+00 -5.64957093e+00 | -1.62956869e+01 2.49904621e+00 -5.64957093e+00 5 1.35626644e+01 -7.99247707e+00 -7.28225557e+00 | 1.35626644e+01 -7.99247707e+00 -7.28225557e+00 6 8.52558071e+00 4.87337184e+00 6.85677310e+00 | 8.52558071e+00 4.87337184e+00 6.85677310e+00 7 -5.79255824e+00 6.20059024e-01 6.07505340e+00 | -5.79255824e+00 6.20059024e-01 6.07505340e+00 8 -1.62956869e+01 2.49904621e+00 -5.64957093e+00 | -1.62956869e+01 2.49904621e+00 -5.64957093e+00 9 1.35626644e+01 -7.99247707e+00 -7.28225557e+00 | 1.35626644e+01 -7.99247707e+00 -7.28225557e+00 10 8.52558071e+00 4.87337184e+00 6.85677310e+00 | 8.52558071e+00 4.87337184e+00 6.85677310e+00 11 -5.79255824e+00 6.20059024e-01 6.07505340e+00 | -5.79255824e+00 6.20059024e-01 6.07505340e+00 12 -1.62956869e+01 2.49904621e+00 -5.64957093e+00 | -1.62956869e+01 2.49904621e+00 -5.64957093e+00 13 1.35626644e+01 -7.99247707e+00 -7.28225557e+00 | 1.35626644e+01 -7.99247707e+00 -7.28225557e+00 14 8.52558071e+00 4.87337184e+00 6.85677310e+00 | 8.52558071e+00 4.87337184e+00 6.85677310e+00 15 -5.79255824e+00 6.20059024e-01 6.07505340e+00 | -5.79255824e+00 6.20059024e-01 6.07505340e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = N Ti, PBC = TFT (Configuration in file "config-NTi-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)) = -63.486416326193726 2^p V(r_1,...,r_N) = -63.48641632619373 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 5.06514260e-01 -7.28390005e+00 1.61231868e+00 | 5.06514260e-01 -7.28390005e+00 1.61231868e+00 1 -3.65492595e-01 8.16064602e+00 6.38133463e-01 | -3.65492595e-01 8.16064602e+00 6.38133463e-01 2 4.63559612e+00 -1.46674734e+01 7.75210542e-01 | 4.63559612e+00 -1.46674734e+01 7.75210542e-01 3 -4.77661778e+00 1.37907274e+01 -3.02566268e+00 | -4.77661778e+00 1.37907274e+01 -3.02566268e+00 4 5.06514260e-01 -7.28390005e+00 1.61231868e+00 | 5.06514260e-01 -7.28390005e+00 1.61231868e+00 5 -3.65492595e-01 8.16064602e+00 6.38133463e-01 | -3.65492595e-01 8.16064602e+00 6.38133463e-01 6 4.63559612e+00 -1.46674734e+01 7.75210542e-01 | 4.63559612e+00 -1.46674734e+01 7.75210542e-01 7 -4.77661778e+00 1.37907274e+01 -3.02566268e+00 | -4.77661778e+00 1.37907274e+01 -3.02566268e+00 8 5.06514260e-01 -7.28390005e+00 1.61231868e+00 | 5.06514260e-01 -7.28390005e+00 1.61231868e+00 9 -3.65492595e-01 8.16064602e+00 6.38133463e-01 | -3.65492595e-01 8.16064602e+00 6.38133463e-01 10 4.63559612e+00 -1.46674734e+01 7.75210542e-01 | 4.63559612e+00 -1.46674734e+01 7.75210542e-01 11 -4.77661778e+00 1.37907274e+01 -3.02566268e+00 | -4.77661778e+00 1.37907274e+01 -3.02566268e+00 12 5.06514260e-01 -7.28390005e+00 1.61231868e+00 | 5.06514260e-01 -7.28390005e+00 1.61231868e+00 13 -3.65492595e-01 8.16064602e+00 6.38133463e-01 | -3.65492595e-01 8.16064602e+00 6.38133463e-01 14 4.63559612e+00 -1.46674734e+01 7.75210542e-01 | 4.63559612e+00 -1.46674734e+01 7.75210542e-01 15 -4.77661778e+00 1.37907274e+01 -3.02566268e+00 | -4.77661778e+00 1.37907274e+01 -3.02566268e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = N Ti, PBC = TFF (Configuration in file "config-NTi-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)) = -5.844624252984088 2^p V(r_1,...,r_N) = -5.844624252984098 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 -1.97927376e+01 -7.75304567e+00 -3.50861590e+01 | -1.97927376e+01 -7.75304567e+00 -3.50861590e+01 1 -7.45675056e-01 1.65429728e+00 -1.94053648e+00 | -7.45675056e-01 1.65429728e+00 -1.94053648e+00 2 3.43509889e+01 -1.96951480e+01 2.32864985e+01 | 3.43509889e+01 -1.96951480e+01 2.32864985e+01 3 -1.38125763e+01 2.57938964e+01 1.37401970e+01 | -1.38125763e+01 2.57938964e+01 1.37401970e+01 4 -1.97927376e+01 -7.75304567e+00 -3.50861590e+01 | -1.97927376e+01 -7.75304567e+00 -3.50861590e+01 5 -7.45675056e-01 1.65429728e+00 -1.94053648e+00 | -7.45675056e-01 1.65429728e+00 -1.94053648e+00 6 3.43509889e+01 -1.96951480e+01 2.32864985e+01 | 3.43509889e+01 -1.96951480e+01 2.32864985e+01 7 -1.38125763e+01 2.57938964e+01 1.37401970e+01 | -1.38125763e+01 2.57938964e+01 1.37401970e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = N Ti, PBC = FTT (Configuration in file "config-NTi-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)) = -16.78950223524354 2^p V(r_1,...,r_N) = -16.789502235243535 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 -1.56901793e+01 -3.73934044e+00 5.94816826e+00 | -1.56901793e+01 -3.73934044e+00 5.94816826e+00 1 2.22302103e+01 -2.41356174e+00 1.39797925e+01 | 2.22302103e+01 -2.41356174e+00 1.39797925e+01 2 1.80119322e+01 6.50363250e+00 -5.22103197e+00 | 1.80119322e+01 6.50363250e+00 -5.22103197e+00 3 -2.45519632e+01 -3.50730319e-01 -1.47069288e+01 | -2.45519632e+01 -3.50730319e-01 -1.47069288e+01 4 -1.56901793e+01 -3.73934044e+00 5.94816826e+00 | -1.56901793e+01 -3.73934044e+00 5.94816826e+00 5 2.22302103e+01 -2.41356174e+00 1.39797925e+01 | 2.22302103e+01 -2.41356174e+00 1.39797925e+01 6 1.80119322e+01 6.50363250e+00 -5.22103197e+00 | 1.80119322e+01 6.50363250e+00 -5.22103197e+00 7 -2.45519632e+01 -3.50730319e-01 -1.47069288e+01 | -2.45519632e+01 -3.50730319e-01 -1.47069288e+01 8 -1.56901793e+01 -3.73934044e+00 5.94816826e+00 | -1.56901793e+01 -3.73934044e+00 5.94816826e+00 9 2.22302103e+01 -2.41356174e+00 1.39797925e+01 | 2.22302103e+01 -2.41356174e+00 1.39797925e+01 10 1.80119322e+01 6.50363250e+00 -5.22103197e+00 | 1.80119322e+01 6.50363250e+00 -5.22103197e+00 11 -2.45519632e+01 -3.50730319e-01 -1.47069288e+01 | -2.45519632e+01 -3.50730319e-01 -1.47069288e+01 12 -1.56901793e+01 -3.73934044e+00 5.94816826e+00 | -1.56901793e+01 -3.73934044e+00 5.94816826e+00 13 2.22302103e+01 -2.41356174e+00 1.39797925e+01 | 2.22302103e+01 -2.41356174e+00 1.39797925e+01 14 1.80119322e+01 6.50363250e+00 -5.22103197e+00 | 1.80119322e+01 6.50363250e+00 -5.22103197e+00 15 -2.45519632e+01 -3.50730319e-01 -1.47069288e+01 | -2.45519632e+01 -3.50730319e-01 -1.47069288e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = N Ti, PBC = FTF (Configuration in file "config-NTi-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)) = -20.860383776674126 2^p V(r_1,...,r_N) = -20.86038377667413 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 -2.99719016e+00 -3.18310147e+00 -1.00466476e+01 | -2.99719016e+00 -3.18310147e+00 -1.00466476e+01 1 -3.81974501e-02 6.52931351e+00 -7.41136876e+00 | -3.81974501e-02 6.52931351e+00 -7.41136876e+00 2 -1.56735642e-01 -5.42406574e+00 1.34082998e+01 | -1.56735642e-01 -5.42406574e+00 1.34082998e+01 3 3.19212326e+00 2.07785370e+00 4.04971655e+00 | 3.19212326e+00 2.07785370e+00 4.04971655e+00 4 -2.99719016e+00 -3.18310147e+00 -1.00466476e+01 | -2.99719016e+00 -3.18310147e+00 -1.00466476e+01 5 -3.81974501e-02 6.52931351e+00 -7.41136876e+00 | -3.81974501e-02 6.52931351e+00 -7.41136876e+00 6 -1.56735642e-01 -5.42406574e+00 1.34082998e+01 | -1.56735642e-01 -5.42406574e+00 1.34082998e+01 7 3.19212326e+00 2.07785370e+00 4.04971655e+00 | 3.19212326e+00 2.07785370e+00 4.04971655e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = N Ti, PBC = FFT (Configuration in file "config-NTi-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)) = -32.91711523257019 2^p V(r_1,...,r_N) = -32.91711523257018 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 -2.87660267e+00 -5.21886043e+00 4.24075214e+00 | -2.87660267e+00 -5.21886043e+00 4.24075214e+00 1 2.69052927e+00 2.70537754e+00 1.74209906e+00 | 2.69052927e+00 2.70537754e+00 1.74209906e+00 2 6.02217217e+00 -6.01756746e+00 -2.49700728e+00 | 6.02217217e+00 -6.01756746e+00 -2.49700728e+00 3 -5.83609877e+00 8.53105035e+00 -3.48584392e+00 | -5.83609877e+00 8.53105035e+00 -3.48584392e+00 4 -2.87660267e+00 -5.21886043e+00 4.24075214e+00 | -2.87660267e+00 -5.21886043e+00 4.24075214e+00 5 2.69052927e+00 2.70537754e+00 1.74209906e+00 | 2.69052927e+00 2.70537754e+00 1.74209906e+00 6 6.02217217e+00 -6.01756746e+00 -2.49700728e+00 | 6.02217217e+00 -6.01756746e+00 -2.49700728e+00 7 -5.83609877e+00 8.53105035e+00 -3.48584392e+00 | -5.83609877e+00 8.53105035e+00 -3.48584392e+00 ------------------------------------------------------------------------------------------------------------------------ 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.