!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!! !!!!! !!!!! 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_BOP_ZhouWardFoster_2016_AlCu__SM_566399258279_000 Supported species : Al Cu random seed = 13 lattice constant (orig) = 3.000 perturbation amplitude = 0.300 number unit cells per side = 1 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Al, PBC = TTT (Configuration in file "config-Al-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)) = 14.946658187285209 2^p V(r_1,...,r_N) = 22.28161350747547 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 1.55445831e+00 -9.19183937e-01 -7.69699422e-01 | 1.59029822e+00 -9.43854647e-01 -7.55939510e-01 ERR 1 -2.01985765e+00 8.95924194e-01 9.34632564e-01 | -2.02903486e+00 9.14395927e-01 9.18804548e-01 ERR 2 -1.34049837e+00 3.65119882e-01 -8.61127441e-01 | -1.38321602e+00 3.54185603e-01 -8.52305402e-01 ERR 3 1.80589771e+00 -3.41860140e-01 6.96194299e-01 | 1.82195267e+00 -3.24726882e-01 6.89440364e-01 ERR 4 1.55445831e+00 -9.19183937e-01 -7.69699422e-01 | 1.59029822e+00 -9.43854647e-01 -7.55939510e-01 ERR 5 -2.01985765e+00 8.95924194e-01 9.34632564e-01 | -2.02903486e+00 9.14395927e-01 9.18804548e-01 ERR 6 -1.34049837e+00 3.65119882e-01 -8.61127441e-01 | -1.38321602e+00 3.54185603e-01 -8.52305402e-01 ERR 7 1.80589771e+00 -3.41860140e-01 6.96194299e-01 | 1.82195267e+00 -3.24726882e-01 6.89440364e-01 ERR 8 1.55445831e+00 -9.19183937e-01 -7.69699422e-01 | 1.59029822e+00 -9.43854647e-01 -7.55939510e-01 ERR 9 -2.01985765e+00 8.95924194e-01 9.34632564e-01 | -2.02903486e+00 9.14395927e-01 9.18804548e-01 ERR 10 -1.34049837e+00 3.65119882e-01 -8.61127441e-01 | -1.38321602e+00 3.54185603e-01 -8.52305402e-01 ERR 11 1.80589771e+00 -3.41860140e-01 6.96194299e-01 | 1.82195267e+00 -3.24726882e-01 6.89440364e-01 ERR 12 1.55445831e+00 -9.19183937e-01 -7.69699422e-01 | 1.59029822e+00 -9.43854647e-01 -7.55939510e-01 ERR 13 -2.01985765e+00 8.95924194e-01 9.34632564e-01 | -2.02903486e+00 9.14395927e-01 9.18804548e-01 ERR 14 -1.34049837e+00 3.65119882e-01 -8.61127441e-01 | -1.38321602e+00 3.54185603e-01 -8.52305402e-01 ERR 15 1.80589771e+00 -3.41860140e-01 6.96194299e-01 | 1.82195267e+00 -3.24726882e-01 6.89440364e-01 ERR 16 1.55445831e+00 -9.19183937e-01 -7.69699422e-01 | 1.59029822e+00 -9.43854647e-01 -7.55939510e-01 ERR 17 -2.01985765e+00 8.95924194e-01 9.34632564e-01 | -2.02903486e+00 9.14395927e-01 9.18804548e-01 ERR 18 -1.34049837e+00 3.65119882e-01 -8.61127441e-01 | -1.38321602e+00 3.54185603e-01 -8.52305402e-01 ERR 19 1.80589771e+00 -3.41860140e-01 6.96194299e-01 | 1.82195267e+00 -3.24726882e-01 6.89440364e-01 ERR 20 1.55445831e+00 -9.19183937e-01 -7.69699422e-01 | 1.59029822e+00 -9.43854647e-01 -7.55939510e-01 ERR 21 -2.01985765e+00 8.95924194e-01 9.34632564e-01 | -2.02903486e+00 9.14395927e-01 9.18804548e-01 ERR 22 -1.34049837e+00 3.65119882e-01 -8.61127441e-01 | -1.38321602e+00 3.54185603e-01 -8.52305402e-01 ERR 23 1.80589771e+00 -3.41860140e-01 6.96194299e-01 | 1.82195267e+00 -3.24726882e-01 6.89440364e-01 ERR 24 1.55445831e+00 -9.19183937e-01 -7.69699422e-01 | 1.59029822e+00 -9.43854647e-01 -7.55939510e-01 ERR 25 -2.01985765e+00 8.95924194e-01 9.34632564e-01 | -2.02903486e+00 9.14395927e-01 9.18804548e-01 ERR 26 -1.34049837e+00 3.65119882e-01 -8.61127441e-01 | -1.38321602e+00 3.54185603e-01 -8.52305402e-01 ERR 27 1.80589771e+00 -3.41860140e-01 6.96194299e-01 | 1.82195267e+00 -3.24726882e-01 6.89440364e-01 ERR 28 1.55445831e+00 -9.19183937e-01 -7.69699422e-01 | 1.59029822e+00 -9.43854647e-01 -7.55939510e-01 ERR 29 -2.01985765e+00 8.95924194e-01 9.34632564e-01 | -2.02903486e+00 9.14395927e-01 9.18804548e-01 ERR 30 -1.34049837e+00 3.65119882e-01 -8.61127441e-01 | -1.38321602e+00 3.54185603e-01 -8.52305402e-01 ERR 31 1.80589771e+00 -3.41860140e-01 6.96194299e-01 | 1.82195267e+00 -3.24726882e-01 6.89440364e-01 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Al, PBC = TTF (Configuration in file "config-Al-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)) = -14.067374587490264 2^p V(r_1,...,r_N) = -13.653724928742378 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 -3.50901463e-01 1.56854944e+00 -5.03449631e+00 | -3.61990793e-01 1.40227742e+00 -5.57709065e+00 ERR 1 -8.91195000e-02 -1.00239242e+00 -4.00761194e+00 | -1.86642741e-02 -1.01154606e+00 -4.58347505e+00 ERR 2 -1.07680258e+00 -7.08269153e-02 4.50656438e+00 | -1.09361447e+00 -3.90285984e-02 5.17609803e+00 ERR 3 1.51682355e+00 -4.95330104e-01 4.53554388e+00 | 1.47426954e+00 -3.51702762e-01 4.98446767e+00 ERR 4 -3.50901463e-01 1.56854944e+00 -5.03449631e+00 | -3.61990793e-01 1.40227742e+00 -5.57709065e+00 ERR 5 -8.91195000e-02 -1.00239242e+00 -4.00761194e+00 | -1.86642741e-02 -1.01154606e+00 -4.58347505e+00 ERR 6 -1.07680258e+00 -7.08269153e-02 4.50656438e+00 | -1.09361447e+00 -3.90285984e-02 5.17609803e+00 ERR 7 1.51682355e+00 -4.95330104e-01 4.53554388e+00 | 1.47426954e+00 -3.51702762e-01 4.98446767e+00 ERR 8 -3.50901463e-01 1.56854944e+00 -5.03449631e+00 | -3.61990793e-01 1.40227742e+00 -5.57709065e+00 ERR 9 -8.91195000e-02 -1.00239242e+00 -4.00761194e+00 | -1.86642741e-02 -1.01154606e+00 -4.58347505e+00 ERR 10 -1.07680258e+00 -7.08269153e-02 4.50656438e+00 | -1.09361447e+00 -3.90285984e-02 5.17609803e+00 ERR 11 1.51682355e+00 -4.95330104e-01 4.53554388e+00 | 1.47426954e+00 -3.51702762e-01 4.98446767e+00 ERR 12 -3.50901463e-01 1.56854944e+00 -5.03449631e+00 | -3.61990793e-01 1.40227742e+00 -5.57709065e+00 ERR 13 -8.91195000e-02 -1.00239242e+00 -4.00761194e+00 | -1.86642741e-02 -1.01154606e+00 -4.58347505e+00 ERR 14 -1.07680258e+00 -7.08269153e-02 4.50656438e+00 | -1.09361447e+00 -3.90285984e-02 5.17609803e+00 ERR 15 1.51682355e+00 -4.95330104e-01 4.53554388e+00 | 1.47426954e+00 -3.51702762e-01 4.98446767e+00 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Al, PBC = TFT (Configuration in file "config-Al-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)) = -14.856328805689714 2^p V(r_1,...,r_N) = -14.171625366789073 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 -1.00921477e+00 -4.54738396e+00 -5.84659882e-01 | -1.00529180e+00 -5.07298223e+00 -5.86549487e-01 ERR 1 -8.14136462e-01 4.33833927e+00 -8.77769860e-01 | -8.69095432e-01 4.77705554e+00 -8.34292119e-01 ERR 2 1.15093154e+00 -4.48645822e+00 6.87348745e-01 | 1.17436970e+00 -5.11625833e+00 6.58266777e-01 ERR 3 6.72419686e-01 4.69550291e+00 7.75080997e-01 | 7.00017533e-01 5.41218502e+00 7.62574829e-01 ERR 4 -1.00921477e+00 -4.54738396e+00 -5.84659882e-01 | -1.00529180e+00 -5.07298223e+00 -5.86549487e-01 ERR 5 -8.14136462e-01 4.33833927e+00 -8.77769860e-01 | -8.69095432e-01 4.77705554e+00 -8.34292119e-01 ERR 6 1.15093154e+00 -4.48645822e+00 6.87348745e-01 | 1.17436970e+00 -5.11625833e+00 6.58266777e-01 ERR 7 6.72419686e-01 4.69550291e+00 7.75080997e-01 | 7.00017533e-01 5.41218502e+00 7.62574829e-01 ERR 8 -1.00921477e+00 -4.54738396e+00 -5.84659882e-01 | -1.00529180e+00 -5.07298223e+00 -5.86549487e-01 ERR 9 -8.14136462e-01 4.33833927e+00 -8.77769860e-01 | -8.69095432e-01 4.77705554e+00 -8.34292119e-01 ERR 10 1.15093154e+00 -4.48645822e+00 6.87348745e-01 | 1.17436970e+00 -5.11625833e+00 6.58266777e-01 ERR 11 6.72419686e-01 4.69550291e+00 7.75080997e-01 | 7.00017533e-01 5.41218502e+00 7.62574829e-01 ERR 12 -1.00921477e+00 -4.54738396e+00 -5.84659882e-01 | -1.00529180e+00 -5.07298223e+00 -5.86549487e-01 ERR 13 -8.14136462e-01 4.33833927e+00 -8.77769860e-01 | -8.69095432e-01 4.77705554e+00 -8.34292119e-01 ERR 14 1.15093154e+00 -4.48645822e+00 6.87348745e-01 | 1.17436970e+00 -5.11625833e+00 6.58266777e-01 ERR 15 6.72419686e-01 4.69550291e+00 7.75080997e-01 | 7.00017533e-01 5.41218502e+00 7.62574829e-01 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Al, PBC = TFF (Configuration in file "config-Al-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)) = -10.271637122587649 2^p V(r_1,...,r_N) = -10.58755206057252 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 7.03335515e-01 -2.60898033e+00 -2.78576430e+00 | 5.77259144e-01 -3.00424737e+00 -3.19373511e+00 ERR 1 -2.12980437e-01 2.20618461e+00 -2.98123925e+00 | -8.79225881e-02 2.65569951e+00 -3.36916471e+00 ERR 2 5.44600198e-02 -2.81626077e+00 2.36319400e+00 | 1.01674970e-01 -3.16136257e+00 2.82966841e+00 ERR 3 -5.44815097e-01 3.21905649e+00 3.40380954e+00 | -5.91011526e-01 3.50991043e+00 3.73323142e+00 ERR 4 7.03335515e-01 -2.60898033e+00 -2.78576430e+00 | 5.77259144e-01 -3.00424737e+00 -3.19373511e+00 ERR 5 -2.12980437e-01 2.20618461e+00 -2.98123925e+00 | -8.79225881e-02 2.65569951e+00 -3.36916471e+00 ERR 6 5.44600198e-02 -2.81626077e+00 2.36319400e+00 | 1.01674970e-01 -3.16136257e+00 2.82966841e+00 ERR 7 -5.44815097e-01 3.21905649e+00 3.40380954e+00 | -5.91011526e-01 3.50991043e+00 3.73323142e+00 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Al, PBC = FTT (Configuration in file "config-Al-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)) = -18.308205098195316 2^p V(r_1,...,r_N) = -18.226191490402215 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 -4.52519855e+00 1.01757257e+00 -1.24684747e+00 | -5.03136656e+00 9.80545591e-01 -1.28203401e+00 ERR 1 4.24899118e+00 -8.16137350e-02 1.53286421e+00 | 4.62908418e+00 -1.10665710e-02 1.51679589e+00 ERR 2 4.12092780e+00 -1.80064678e-01 -9.32791554e-01 | 4.85999777e+00 -1.73059961e-01 -9.59337631e-01 ERR 3 -3.84472043e+00 -7.55894159e-01 6.46774815e-01 | -4.45771540e+00 -7.96419060e-01 7.24575752e-01 ERR 4 -4.52519855e+00 1.01757257e+00 -1.24684747e+00 | -5.03136656e+00 9.80545591e-01 -1.28203401e+00 ERR 5 4.24899118e+00 -8.16137350e-02 1.53286421e+00 | 4.62908418e+00 -1.10665710e-02 1.51679589e+00 ERR 6 4.12092780e+00 -1.80064678e-01 -9.32791554e-01 | 4.85999777e+00 -1.73059961e-01 -9.59337631e-01 ERR 7 -3.84472043e+00 -7.55894159e-01 6.46774815e-01 | -4.45771540e+00 -7.96419060e-01 7.24575752e-01 ERR 8 -4.52519855e+00 1.01757257e+00 -1.24684747e+00 | -5.03136656e+00 9.80545591e-01 -1.28203401e+00 ERR 9 4.24899118e+00 -8.16137350e-02 1.53286421e+00 | 4.62908418e+00 -1.10665710e-02 1.51679589e+00 ERR 10 4.12092780e+00 -1.80064678e-01 -9.32791554e-01 | 4.85999777e+00 -1.73059961e-01 -9.59337631e-01 ERR 11 -3.84472043e+00 -7.55894159e-01 6.46774815e-01 | -4.45771540e+00 -7.96419060e-01 7.24575752e-01 ERR 12 -4.52519855e+00 1.01757257e+00 -1.24684747e+00 | -5.03136656e+00 9.80545591e-01 -1.28203401e+00 ERR 13 4.24899118e+00 -8.16137350e-02 1.53286421e+00 | 4.62908418e+00 -1.10665710e-02 1.51679589e+00 ERR 14 4.12092780e+00 -1.80064678e-01 -9.32791554e-01 | 4.85999777e+00 -1.73059961e-01 -9.59337631e-01 ERR 15 -3.84472043e+00 -7.55894159e-01 6.46774815e-01 | -4.45771540e+00 -7.96419060e-01 7.24575752e-01 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Al, PBC = FTF (Configuration in file "config-Al-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)) = -9.064503757354764 2^p V(r_1,...,r_N) = -9.552711341818814 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 -2.47850471e+00 2.97747999e-01 -3.02613348e+00 | -2.83930751e+00 -5.26818200e-02 -3.51030178e+00 ERR 1 2.46605349e+00 -9.90600247e-01 -2.88604196e+00 | 2.94254570e+00 -5.52609715e-01 -3.28271806e+00 ERR 2 3.20417045e+00 1.19744835e+00 3.76340189e+00 | 3.51977904e+00 7.69396184e-01 4.18513858e+00 ERR 3 -3.19171922e+00 -5.04596100e-01 2.14877355e+00 | -3.62301723e+00 -1.64104649e-01 2.60788126e+00 ERR 4 -2.47850471e+00 2.97747999e-01 -3.02613348e+00 | -2.83930751e+00 -5.26818200e-02 -3.51030178e+00 ERR 5 2.46605349e+00 -9.90600247e-01 -2.88604196e+00 | 2.94254570e+00 -5.52609715e-01 -3.28271806e+00 ERR 6 3.20417045e+00 1.19744835e+00 3.76340189e+00 | 3.51977904e+00 7.69396184e-01 4.18513858e+00 ERR 7 -3.19171922e+00 -5.04596100e-01 2.14877355e+00 | -3.62301723e+00 -1.64104649e-01 2.60788126e+00 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Al, PBC = FFT (Configuration in file "config-Al-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)) = -11.567203896251996 2^p V(r_1,...,r_N) = -12.141419553556602 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 -1.89217740e+00 -3.12640011e+00 2.14625374e-01 | -2.29090444e+00 -3.59001975e+00 2.96921432e-01 ERR 1 2.61845109e+00 3.20169887e+00 -7.90524555e-01 | 2.93448204e+00 3.67197480e+00 -5.54495031e-01 ERR 2 2.33726033e+00 -2.64243339e+00 -9.66528966e-02 | 2.84150931e+00 -3.06668424e+00 -1.46761678e-01 ERR 3 -3.06353402e+00 2.56713464e+00 6.72552077e-01 | -3.48508690e+00 2.98472920e+00 4.04335277e-01 ERR 4 -1.89217740e+00 -3.12640011e+00 2.14625374e-01 | -2.29090444e+00 -3.59001975e+00 2.96921432e-01 ERR 5 2.61845109e+00 3.20169887e+00 -7.90524555e-01 | 2.93448204e+00 3.67197480e+00 -5.54495031e-01 ERR 6 2.33726033e+00 -2.64243339e+00 -9.66528966e-02 | 2.84150931e+00 -3.06668424e+00 -1.46761678e-01 ERR 7 -3.06353402e+00 2.56713464e+00 6.72552077e-01 | -3.48508690e+00 2.98472920e+00 4.04335277e-01 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Cu, PBC = TTT (Configuration in file "config-Cu-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)) = -33.14245802028631 2^p V(r_1,...,r_N) = -33.95257295214162 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 -3.63457200e+00 3.67039450e+00 -1.85977727e+00 | -3.69696785e+00 3.65060174e+00 -1.89743255e+00 ERR 1 3.49939727e+00 -8.54429978e-01 -2.87086518e+00 | 3.55932360e+00 -8.34725903e-01 -2.89130094e+00 ERR 2 4.14800377e+00 -2.78339540e+00 2.81343896e+00 | 4.19448256e+00 -2.78669941e+00 2.83393323e+00 ERR 3 -4.01282904e+00 -3.25691265e-02 1.91720350e+00 | -4.05683831e+00 -2.91764328e-02 1.95480026e+00 ERR 4 -3.63457200e+00 3.67039450e+00 -1.85977727e+00 | -3.69696785e+00 3.65060174e+00 -1.89743255e+00 ERR 5 3.49939727e+00 -8.54429978e-01 -2.87086518e+00 | 3.55932360e+00 -8.34725903e-01 -2.89130094e+00 ERR 6 4.14800377e+00 -2.78339540e+00 2.81343896e+00 | 4.19448256e+00 -2.78669941e+00 2.83393323e+00 ERR 7 -4.01282904e+00 -3.25691265e-02 1.91720350e+00 | -4.05683831e+00 -2.91764328e-02 1.95480026e+00 ERR 8 -3.63457200e+00 3.67039450e+00 -1.85977727e+00 | -3.69696785e+00 3.65060174e+00 -1.89743255e+00 ERR 9 3.49939727e+00 -8.54429978e-01 -2.87086518e+00 | 3.55932360e+00 -8.34725903e-01 -2.89130094e+00 ERR 10 4.14800377e+00 -2.78339540e+00 2.81343896e+00 | 4.19448256e+00 -2.78669941e+00 2.83393323e+00 ERR 11 -4.01282904e+00 -3.25691265e-02 1.91720350e+00 | -4.05683831e+00 -2.91764328e-02 1.95480026e+00 ERR 12 -3.63457200e+00 3.67039450e+00 -1.85977727e+00 | -3.69696785e+00 3.65060174e+00 -1.89743255e+00 ERR 13 3.49939727e+00 -8.54429978e-01 -2.87086518e+00 | 3.55932360e+00 -8.34725903e-01 -2.89130094e+00 ERR 14 4.14800377e+00 -2.78339540e+00 2.81343896e+00 | 4.19448256e+00 -2.78669941e+00 2.83393323e+00 ERR 15 -4.01282904e+00 -3.25691265e-02 1.91720350e+00 | -4.05683831e+00 -2.91764328e-02 1.95480026e+00 ERR 16 -3.63457200e+00 3.67039450e+00 -1.85977727e+00 | -3.69696785e+00 3.65060174e+00 -1.89743255e+00 ERR 17 3.49939727e+00 -8.54429978e-01 -2.87086518e+00 | 3.55932360e+00 -8.34725903e-01 -2.89130094e+00 ERR 18 4.14800377e+00 -2.78339540e+00 2.81343896e+00 | 4.19448256e+00 -2.78669941e+00 2.83393323e+00 ERR 19 -4.01282904e+00 -3.25691265e-02 1.91720350e+00 | -4.05683831e+00 -2.91764328e-02 1.95480026e+00 ERR 20 -3.63457200e+00 3.67039450e+00 -1.85977727e+00 | -3.69696785e+00 3.65060174e+00 -1.89743255e+00 ERR 21 3.49939727e+00 -8.54429978e-01 -2.87086518e+00 | 3.55932360e+00 -8.34725903e-01 -2.89130094e+00 ERR 22 4.14800377e+00 -2.78339540e+00 2.81343896e+00 | 4.19448256e+00 -2.78669941e+00 2.83393323e+00 ERR 23 -4.01282904e+00 -3.25691265e-02 1.91720350e+00 | -4.05683831e+00 -2.91764328e-02 1.95480026e+00 ERR 24 -3.63457200e+00 3.67039450e+00 -1.85977727e+00 | -3.69696785e+00 3.65060174e+00 -1.89743255e+00 ERR 25 3.49939727e+00 -8.54429978e-01 -2.87086518e+00 | 3.55932360e+00 -8.34725903e-01 -2.89130094e+00 ERR 26 4.14800377e+00 -2.78339540e+00 2.81343896e+00 | 4.19448256e+00 -2.78669941e+00 2.83393323e+00 ERR 27 -4.01282904e+00 -3.25691265e-02 1.91720350e+00 | -4.05683831e+00 -2.91764328e-02 1.95480026e+00 ERR 28 -3.63457200e+00 3.67039450e+00 -1.85977727e+00 | -3.69696785e+00 3.65060174e+00 -1.89743255e+00 ERR 29 3.49939727e+00 -8.54429978e-01 -2.87086518e+00 | 3.55932360e+00 -8.34725903e-01 -2.89130094e+00 ERR 30 4.14800377e+00 -2.78339540e+00 2.81343896e+00 | 4.19448256e+00 -2.78669941e+00 2.83393323e+00 ERR 31 -4.01282904e+00 -3.25691265e-02 1.91720350e+00 | -4.05683831e+00 -2.91764328e-02 1.95480026e+00 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Cu, PBC = TTF (Configuration in file "config-Cu-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)) = -4.205758957858251 2^p V(r_1,...,r_N) = -4.597193298995165 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 2.80784687e+00 -5.65759370e+00 -5.94281848e+00 | 2.85767405e+00 -5.71535026e+00 -6.09052880e+00 ERR 1 -3.16312250e+00 5.53362424e+00 -6.81894180e+00 | -3.21444858e+00 5.55084562e+00 -7.07489450e+00 ERR 2 1.77547715e+00 -3.51464628e+00 6.69624678e+00 | 1.78842787e+00 -3.52091112e+00 6.91965828e+00 ERR 3 -1.42020152e+00 3.63861574e+00 6.06551350e+00 | -1.43165334e+00 3.68541575e+00 6.24576502e+00 ERR 4 2.80784687e+00 -5.65759370e+00 -5.94281848e+00 | 2.85767405e+00 -5.71535026e+00 -6.09052880e+00 ERR 5 -3.16312250e+00 5.53362424e+00 -6.81894180e+00 | -3.21444858e+00 5.55084562e+00 -7.07489450e+00 ERR 6 1.77547715e+00 -3.51464628e+00 6.69624678e+00 | 1.78842787e+00 -3.52091112e+00 6.91965828e+00 ERR 7 -1.42020152e+00 3.63861574e+00 6.06551350e+00 | -1.43165334e+00 3.68541575e+00 6.24576502e+00 ERR 8 2.80784687e+00 -5.65759370e+00 -5.94281848e+00 | 2.85767405e+00 -5.71535026e+00 -6.09052880e+00 ERR 9 -3.16312250e+00 5.53362424e+00 -6.81894180e+00 | -3.21444858e+00 5.55084562e+00 -7.07489450e+00 ERR 10 1.77547715e+00 -3.51464628e+00 6.69624678e+00 | 1.78842787e+00 -3.52091112e+00 6.91965828e+00 ERR 11 -1.42020152e+00 3.63861574e+00 6.06551350e+00 | -1.43165334e+00 3.68541575e+00 6.24576502e+00 ERR 12 2.80784687e+00 -5.65759370e+00 -5.94281848e+00 | 2.85767405e+00 -5.71535026e+00 -6.09052880e+00 ERR 13 -3.16312250e+00 5.53362424e+00 -6.81894180e+00 | -3.21444858e+00 5.55084562e+00 -7.07489450e+00 ERR 14 1.77547715e+00 -3.51464628e+00 6.69624678e+00 | 1.78842787e+00 -3.52091112e+00 6.91965828e+00 ERR 15 -1.42020152e+00 3.63861574e+00 6.06551350e+00 | -1.43165334e+00 3.68541575e+00 6.24576502e+00 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Cu, PBC = TFT (Configuration in file "config-Cu-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)) = -8.896125610690234 2^p V(r_1,...,r_N) = -9.44087648071448 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 3.90749119e+00 -7.12609493e+00 5.03476222e+00 | 3.91515515e+00 -7.31688634e+00 5.06077324e+00 ERR 1 6.11592598e-01 6.15275762e+00 3.95136310e+00 | 6.72446259e-01 6.34604647e+00 3.97887316e+00 ERR 2 -2.59620634e+00 -5.70620800e+00 -4.14592821e+00 | -2.63145267e+00 -5.93990575e+00 -4.20685252e+00 ERR 3 -1.92287745e+00 6.67954531e+00 -4.84019710e+00 | -1.95614874e+00 6.91074562e+00 -4.83279387e+00 ERR 4 3.90749119e+00 -7.12609493e+00 5.03476222e+00 | 3.91515515e+00 -7.31688634e+00 5.06077324e+00 ERR 5 6.11592598e-01 6.15275762e+00 3.95136310e+00 | 6.72446259e-01 6.34604647e+00 3.97887316e+00 ERR 6 -2.59620634e+00 -5.70620800e+00 -4.14592821e+00 | -2.63145267e+00 -5.93990575e+00 -4.20685252e+00 ERR 7 -1.92287745e+00 6.67954531e+00 -4.84019710e+00 | -1.95614874e+00 6.91074562e+00 -4.83279387e+00 ERR 8 3.90749119e+00 -7.12609493e+00 5.03476222e+00 | 3.91515515e+00 -7.31688634e+00 5.06077324e+00 ERR 9 6.11592598e-01 6.15275762e+00 3.95136310e+00 | 6.72446259e-01 6.34604647e+00 3.97887316e+00 ERR 10 -2.59620634e+00 -5.70620800e+00 -4.14592821e+00 | -2.63145267e+00 -5.93990575e+00 -4.20685252e+00 ERR 11 -1.92287745e+00 6.67954531e+00 -4.84019710e+00 | -1.95614874e+00 6.91074562e+00 -4.83279387e+00 ERR 12 3.90749119e+00 -7.12609493e+00 5.03476222e+00 | 3.91515515e+00 -7.31688634e+00 5.06077324e+00 ERR 13 6.11592598e-01 6.15275762e+00 3.95136310e+00 | 6.72446259e-01 6.34604647e+00 3.97887316e+00 ERR 14 -2.59620634e+00 -5.70620800e+00 -4.14592821e+00 | -2.63145267e+00 -5.93990575e+00 -4.20685252e+00 ERR 15 -1.92287745e+00 6.67954531e+00 -4.84019710e+00 | -1.95614874e+00 6.91074562e+00 -4.83279387e+00 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Cu, PBC = TFF (Configuration in file "config-Cu-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)) = -2.8080537871610005 2^p V(r_1,...,r_N) = -3.019234494417283 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 4.61816795e-02 -6.10054655e+00 -4.88622266e+00 | 5.20594065e-02 -6.22718004e+00 -5.01837237e+00 ERR 1 1.97753889e-01 4.60329184e+00 -5.06950662e+00 | 1.90432391e-01 4.71785363e+00 -5.23962995e+00 ERR 2 2.22701804e+00 -5.00593085e+00 5.04346095e+00 | 2.16386178e+00 -5.14049938e+00 5.20303744e+00 ERR 3 -2.47095361e+00 6.50318556e+00 4.91226833e+00 | -2.40635358e+00 6.64982578e+00 5.05496488e+00 ERR 4 4.61816795e-02 -6.10054655e+00 -4.88622266e+00 | 5.20594065e-02 -6.22718004e+00 -5.01837237e+00 ERR 5 1.97753889e-01 4.60329184e+00 -5.06950662e+00 | 1.90432391e-01 4.71785363e+00 -5.23962995e+00 ERR 6 2.22701804e+00 -5.00593085e+00 5.04346095e+00 | 2.16386178e+00 -5.14049938e+00 5.20303744e+00 ERR 7 -2.47095361e+00 6.50318556e+00 4.91226833e+00 | -2.40635358e+00 6.64982578e+00 5.05496488e+00 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Cu, PBC = FTT (Configuration in file "config-Cu-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)) = -20.33188560595576 2^p V(r_1,...,r_N) = -21.30232544689187 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 -4.70797156e+00 -4.31891422e+00 -4.50288768e+00 | -4.90358042e+00 -4.36790457e+00 -4.55303431e+00 ERR 1 4.24258033e+00 2.55018019e+00 -2.56287578e+00 | 4.43153372e+00 2.56934480e+00 -2.58894465e+00 ERR 2 4.92130402e+00 -2.74350211e+00 2.89664286e+00 | 5.11200513e+00 -2.74791101e+00 2.89451454e+00 ERR 3 -4.45591279e+00 4.51223613e+00 4.16912060e+00 | -4.63995844e+00 4.54647078e+00 4.24746443e+00 ERR 4 -4.70797156e+00 -4.31891422e+00 -4.50288768e+00 | -4.90358042e+00 -4.36790457e+00 -4.55303431e+00 ERR 5 4.24258033e+00 2.55018019e+00 -2.56287578e+00 | 4.43153372e+00 2.56934480e+00 -2.58894465e+00 ERR 6 4.92130402e+00 -2.74350211e+00 2.89664286e+00 | 5.11200513e+00 -2.74791101e+00 2.89451454e+00 ERR 7 -4.45591279e+00 4.51223613e+00 4.16912060e+00 | -4.63995844e+00 4.54647078e+00 4.24746443e+00 ERR 8 -4.70797156e+00 -4.31891422e+00 -4.50288768e+00 | -4.90358042e+00 -4.36790457e+00 -4.55303431e+00 ERR 9 4.24258033e+00 2.55018019e+00 -2.56287578e+00 | 4.43153372e+00 2.56934480e+00 -2.58894465e+00 ERR 10 4.92130402e+00 -2.74350211e+00 2.89664286e+00 | 5.11200513e+00 -2.74791101e+00 2.89451454e+00 ERR 11 -4.45591279e+00 4.51223613e+00 4.16912060e+00 | -4.63995844e+00 4.54647078e+00 4.24746443e+00 ERR 12 -4.70797156e+00 -4.31891422e+00 -4.50288768e+00 | -4.90358042e+00 -4.36790457e+00 -4.55303431e+00 ERR 13 4.24258033e+00 2.55018019e+00 -2.56287578e+00 | 4.43153372e+00 2.56934480e+00 -2.58894465e+00 ERR 14 4.92130402e+00 -2.74350211e+00 2.89664286e+00 | 5.11200513e+00 -2.74791101e+00 2.89451454e+00 ERR 15 -4.45591279e+00 4.51223613e+00 4.16912060e+00 | -4.63995844e+00 4.54647078e+00 4.24746443e+00 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Cu, PBC = FTF (Configuration in file "config-Cu-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)) = -2.934970505663351 2^p V(r_1,...,r_N) = -3.151398434866394 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 -4.43342605e+00 -1.69195308e+00 -4.85020075e+00 | -4.60322122e+00 -1.65909476e+00 -4.98010622e+00 ERR 1 5.95037346e+00 2.93329811e+00 -5.29957825e+00 | 6.13367462e+00 2.85982364e+00 -5.39678021e+00 ERR 2 4.24291126e+00 -2.68979089e+00 5.42946502e+00 | 4.38702051e+00 -2.62837424e+00 5.56747543e+00 ERR 3 -5.75985868e+00 1.44844586e+00 4.72031398e+00 | -5.91747391e+00 1.42764537e+00 4.80941100e+00 ERR 4 -4.43342605e+00 -1.69195308e+00 -4.85020075e+00 | -4.60322122e+00 -1.65909476e+00 -4.98010622e+00 ERR 5 5.95037346e+00 2.93329811e+00 -5.29957825e+00 | 6.13367462e+00 2.85982364e+00 -5.39678021e+00 ERR 6 4.24291126e+00 -2.68979089e+00 5.42946502e+00 | 4.38702051e+00 -2.62837424e+00 5.56747543e+00 ERR 7 -5.75985868e+00 1.44844586e+00 4.72031398e+00 | -5.91747391e+00 1.42764537e+00 4.80941100e+00 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Cu, PBC = FFT (Configuration in file "config-Cu-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)) = -6.386378968045868 2^p V(r_1,...,r_N) = -6.719997387800319 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 -3.60913720e+00 -5.00423557e+00 1.66590907e+00 | -3.74358547e+00 -5.19097351e+00 1.60296518e+00 ERR 1 4.12496708e+00 4.63504214e+00 1.67593496e+00 | 4.27585039e+00 4.80626857e+00 1.61320341e+00 ERR 2 4.58032107e+00 -3.71856734e+00 -3.27437410e-01 | 4.75702206e+00 -3.86077238e+00 -3.17965162e-01 ERR 3 -5.09615095e+00 4.08776076e+00 -3.01440661e+00 | -5.28928697e+00 4.24547732e+00 -2.89820343e+00 ERR 4 -3.60913720e+00 -5.00423557e+00 1.66590907e+00 | -3.74358547e+00 -5.19097351e+00 1.60296518e+00 ERR 5 4.12496708e+00 4.63504214e+00 1.67593496e+00 | 4.27585039e+00 4.80626857e+00 1.61320341e+00 ERR 6 4.58032107e+00 -3.71856734e+00 -3.27437410e-01 | 4.75702206e+00 -3.86077238e+00 -3.17965162e-01 ERR 7 -5.09615095e+00 4.08776076e+00 -3.01440661e+00 | -5.28928697e+00 4.24547732e+00 -2.89820343e+00 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Al Cu, PBC = TTT (Configuration in file "config-AlCu-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)) = -22.831758246788297 2^p V(r_1,...,r_N) = -17.970952243127556 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 -2.47577293e+00 1.43464141e+00 5.41288167e-02 | -2.50742731e+00 1.46824009e+00 9.29819464e-02 ERR 1 1.69201918e+00 -2.27237111e+00 1.58572021e+00 | 1.74661130e+00 -2.31619598e+00 1.56698105e+00 ERR 2 1.52164340e+00 1.76967968e+00 -1.42350684e+00 | 1.54962210e+00 1.81744664e+00 -1.42365231e+00 ERR 3 -7.37889657e-01 -9.31949986e-01 -2.16342183e-01 | -7.88806094e-01 -9.69490747e-01 -2.36310680e-01 ERR 4 -2.47577293e+00 1.43464141e+00 5.41288167e-02 | -2.50742731e+00 1.46824009e+00 9.29819464e-02 ERR 5 1.69201918e+00 -2.27237111e+00 1.58572021e+00 | 1.74661130e+00 -2.31619598e+00 1.56698105e+00 ERR 6 1.52164340e+00 1.76967968e+00 -1.42350684e+00 | 1.54962210e+00 1.81744664e+00 -1.42365231e+00 ERR 7 -7.37889657e-01 -9.31949986e-01 -2.16342183e-01 | -7.88806094e-01 -9.69490747e-01 -2.36310680e-01 ERR 8 -2.47577293e+00 1.43464141e+00 5.41288167e-02 | -2.50742731e+00 1.46824009e+00 9.29819464e-02 ERR 9 1.69201918e+00 -2.27237111e+00 1.58572021e+00 | 1.74661130e+00 -2.31619598e+00 1.56698105e+00 ERR 10 1.52164340e+00 1.76967968e+00 -1.42350684e+00 | 1.54962210e+00 1.81744664e+00 -1.42365231e+00 ERR 11 -7.37889657e-01 -9.31949986e-01 -2.16342183e-01 | -7.88806094e-01 -9.69490747e-01 -2.36310680e-01 ERR 12 -2.47577293e+00 1.43464141e+00 5.41288167e-02 | -2.50742731e+00 1.46824009e+00 9.29819464e-02 ERR 13 1.69201918e+00 -2.27237111e+00 1.58572021e+00 | 1.74661130e+00 -2.31619598e+00 1.56698105e+00 ERR 14 1.52164340e+00 1.76967968e+00 -1.42350684e+00 | 1.54962210e+00 1.81744664e+00 -1.42365231e+00 ERR 15 -7.37889657e-01 -9.31949986e-01 -2.16342183e-01 | -7.88806094e-01 -9.69490747e-01 -2.36310680e-01 ERR 16 -2.47577293e+00 1.43464141e+00 5.41288167e-02 | -2.50742731e+00 1.46824009e+00 9.29819464e-02 ERR 17 1.69201918e+00 -2.27237111e+00 1.58572021e+00 | 1.74661130e+00 -2.31619598e+00 1.56698105e+00 ERR 18 1.52164340e+00 1.76967968e+00 -1.42350684e+00 | 1.54962210e+00 1.81744664e+00 -1.42365231e+00 ERR 19 -7.37889657e-01 -9.31949986e-01 -2.16342183e-01 | -7.88806094e-01 -9.69490747e-01 -2.36310680e-01 ERR 20 -2.47577293e+00 1.43464141e+00 5.41288167e-02 | -2.50742731e+00 1.46824009e+00 9.29819464e-02 ERR 21 1.69201918e+00 -2.27237111e+00 1.58572021e+00 | 1.74661130e+00 -2.31619598e+00 1.56698105e+00 ERR 22 1.52164340e+00 1.76967968e+00 -1.42350684e+00 | 1.54962210e+00 1.81744664e+00 -1.42365231e+00 ERR 23 -7.37889657e-01 -9.31949986e-01 -2.16342183e-01 | -7.88806094e-01 -9.69490747e-01 -2.36310680e-01 ERR 24 -2.47577293e+00 1.43464141e+00 5.41288167e-02 | -2.50742731e+00 1.46824009e+00 9.29819464e-02 ERR 25 1.69201918e+00 -2.27237111e+00 1.58572021e+00 | 1.74661130e+00 -2.31619598e+00 1.56698105e+00 ERR 26 1.52164340e+00 1.76967968e+00 -1.42350684e+00 | 1.54962210e+00 1.81744664e+00 -1.42365231e+00 ERR 27 -7.37889657e-01 -9.31949986e-01 -2.16342183e-01 | -7.88806094e-01 -9.69490747e-01 -2.36310680e-01 ERR 28 -2.47577293e+00 1.43464141e+00 5.41288167e-02 | -2.50742731e+00 1.46824009e+00 9.29819464e-02 ERR 29 1.69201918e+00 -2.27237111e+00 1.58572021e+00 | 1.74661130e+00 -2.31619598e+00 1.56698105e+00 ERR 30 1.52164340e+00 1.76967968e+00 -1.42350684e+00 | 1.54962210e+00 1.81744664e+00 -1.42365231e+00 ERR 31 -7.37889657e-01 -9.31949986e-01 -2.16342183e-01 | -7.88806094e-01 -9.69490747e-01 -2.36310680e-01 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Al Cu, PBC = TTF (Configuration in file "config-AlCu-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)) = -22.982465281265746 2^p V(r_1,...,r_N) = -22.34441138579558 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 -2.31715664e-02 -9.90628459e-01 -3.73538424e+00 | 8.02299250e-02 -9.98494195e-01 -4.18663073e+00 ERR 1 -6.42036555e-01 6.65764774e-01 -5.21159344e+00 | -6.19971900e-01 6.95789327e-01 -5.45979745e+00 ERR 2 3.92407881e-01 -1.35613510e-01 3.66048165e+00 | 2.93567217e-01 -1.23448122e-01 4.11814584e+00 ERR 3 2.72800241e-01 4.60477195e-01 5.28649603e+00 | 2.46174758e-01 4.26152990e-01 5.52828234e+00 ERR 4 -2.31715664e-02 -9.90628459e-01 -3.73538424e+00 | 8.02299250e-02 -9.98494195e-01 -4.18663073e+00 ERR 5 -6.42036555e-01 6.65764774e-01 -5.21159344e+00 | -6.19971900e-01 6.95789327e-01 -5.45979745e+00 ERR 6 3.92407881e-01 -1.35613510e-01 3.66048165e+00 | 2.93567217e-01 -1.23448122e-01 4.11814584e+00 ERR 7 2.72800241e-01 4.60477195e-01 5.28649603e+00 | 2.46174758e-01 4.26152990e-01 5.52828234e+00 ERR 8 -2.31715664e-02 -9.90628459e-01 -3.73538424e+00 | 8.02299250e-02 -9.98494195e-01 -4.18663073e+00 ERR 9 -6.42036555e-01 6.65764774e-01 -5.21159344e+00 | -6.19971900e-01 6.95789327e-01 -5.45979745e+00 ERR 10 3.92407881e-01 -1.35613510e-01 3.66048165e+00 | 2.93567217e-01 -1.23448122e-01 4.11814584e+00 ERR 11 2.72800241e-01 4.60477195e-01 5.28649603e+00 | 2.46174758e-01 4.26152990e-01 5.52828234e+00 ERR 12 -2.31715664e-02 -9.90628459e-01 -3.73538424e+00 | 8.02299250e-02 -9.98494195e-01 -4.18663073e+00 ERR 13 -6.42036555e-01 6.65764774e-01 -5.21159344e+00 | -6.19971900e-01 6.95789327e-01 -5.45979745e+00 ERR 14 3.92407881e-01 -1.35613510e-01 3.66048165e+00 | 2.93567217e-01 -1.23448122e-01 4.11814584e+00 ERR 15 2.72800241e-01 4.60477195e-01 5.28649603e+00 | 2.46174758e-01 4.26152990e-01 5.52828234e+00 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Al Cu, PBC = TFT (Configuration in file "config-AlCu-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)) = -24.886986611723245 2^p V(r_1,...,r_N) = -24.413343199194628 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 -9.40723889e-01 -3.64654983e+00 -2.04788104e-02 | -8.53971046e-01 -4.13798728e+00 -2.77752321e-02 ERR 1 1.52928951e+00 3.72558206e+00 -8.37091491e-01 | 1.43452058e+00 4.09674102e+00 -8.42811724e-01 ERR 2 1.04094347e+00 -3.86654782e+00 4.80392778e-01 | 1.03154494e+00 -4.07468814e+00 4.47296169e-01 ERR 3 -1.62950909e+00 3.78751559e+00 3.77177523e-01 | -1.61209447e+00 4.11593440e+00 4.23290788e-01 ERR 4 -9.40723889e-01 -3.64654983e+00 -2.04788104e-02 | -8.53971046e-01 -4.13798728e+00 -2.77752321e-02 ERR 5 1.52928951e+00 3.72558206e+00 -8.37091491e-01 | 1.43452058e+00 4.09674102e+00 -8.42811724e-01 ERR 6 1.04094347e+00 -3.86654782e+00 4.80392778e-01 | 1.03154494e+00 -4.07468814e+00 4.47296169e-01 ERR 7 -1.62950909e+00 3.78751559e+00 3.77177523e-01 | -1.61209447e+00 4.11593440e+00 4.23290788e-01 ERR 8 -9.40723889e-01 -3.64654983e+00 -2.04788104e-02 | -8.53971046e-01 -4.13798728e+00 -2.77752321e-02 ERR 9 1.52928951e+00 3.72558206e+00 -8.37091491e-01 | 1.43452058e+00 4.09674102e+00 -8.42811724e-01 ERR 10 1.04094347e+00 -3.86654782e+00 4.80392778e-01 | 1.03154494e+00 -4.07468814e+00 4.47296169e-01 ERR 11 -1.62950909e+00 3.78751559e+00 3.77177523e-01 | -1.61209447e+00 4.11593440e+00 4.23290788e-01 ERR 12 -9.40723889e-01 -3.64654983e+00 -2.04788104e-02 | -8.53971046e-01 -4.13798728e+00 -2.77752321e-02 ERR 13 1.52928951e+00 3.72558206e+00 -8.37091491e-01 | 1.43452058e+00 4.09674102e+00 -8.42811724e-01 ERR 14 1.04094347e+00 -3.86654782e+00 4.80392778e-01 | 1.03154494e+00 -4.07468814e+00 4.47296169e-01 ERR 15 -1.62950909e+00 3.78751559e+00 3.77177523e-01 | -1.61209447e+00 4.11593440e+00 4.23290788e-01 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Al Cu, PBC = TFF (Configuration in file "config-AlCu-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)) = -8.964675433290836 2^p V(r_1,...,r_N) = -9.066064561882115 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 6.61285859e-02 -2.75959516e+00 -2.35094031e+00 | 5.16797118e-02 -3.04289077e+00 -2.74382649e+00 ERR 1 3.43148231e-01 2.20369535e+00 -3.87194462e+00 | 3.46511726e-01 2.39061571e+00 -3.97209978e+00 ERR 2 3.45596216e-02 -2.31997349e+00 3.44468199e+00 | 3.95651909e-02 -2.46792587e+00 3.85070371e+00 ERR 3 -4.43836439e-01 2.87587330e+00 2.77820294e+00 | -4.37756629e-01 3.12020093e+00 2.86522257e+00 ERR 4 6.61285859e-02 -2.75959516e+00 -2.35094031e+00 | 5.16797118e-02 -3.04289077e+00 -2.74382649e+00 ERR 5 3.43148231e-01 2.20369535e+00 -3.87194462e+00 | 3.46511726e-01 2.39061571e+00 -3.97209978e+00 ERR 6 3.45596216e-02 -2.31997349e+00 3.44468199e+00 | 3.95651909e-02 -2.46792587e+00 3.85070371e+00 ERR 7 -4.43836439e-01 2.87587330e+00 2.77820294e+00 | -4.37756629e-01 3.12020093e+00 2.86522257e+00 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Al Cu, PBC = FTT (Configuration in file "config-AlCu-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)) = -20.83706931122225 2^p V(r_1,...,r_N) = -19.866442382066822 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 -3.64477697e+00 1.25341632e+00 -1.22879941e+00 | -4.06557013e+00 1.25229014e+00 -1.24465598e+00 ERR 1 3.59278921e+00 -1.02265327e+00 1.00578416e-01 | 4.02582097e+00 -1.01126011e+00 1.16782508e-01 ERR 2 4.89156999e+00 1.22865863e+00 2.15173387e-01 | 5.14570731e+00 1.21804227e+00 1.81062298e-01 ERR 3 -4.83958223e+00 -1.45942169e+00 9.13047611e-01 | -5.10595815e+00 -1.45907230e+00 9.46811174e-01 ERR 4 -3.64477697e+00 1.25341632e+00 -1.22879941e+00 | -4.06557013e+00 1.25229014e+00 -1.24465598e+00 ERR 5 3.59278921e+00 -1.02265327e+00 1.00578416e-01 | 4.02582097e+00 -1.01126011e+00 1.16782508e-01 ERR 6 4.89156999e+00 1.22865863e+00 2.15173387e-01 | 5.14570731e+00 1.21804227e+00 1.81062298e-01 ERR 7 -4.83958223e+00 -1.45942169e+00 9.13047611e-01 | -5.10595815e+00 -1.45907230e+00 9.46811174e-01 ERR 8 -3.64477697e+00 1.25341632e+00 -1.22879941e+00 | -4.06557013e+00 1.25229014e+00 -1.24465598e+00 ERR 9 3.59278921e+00 -1.02265327e+00 1.00578416e-01 | 4.02582097e+00 -1.01126011e+00 1.16782508e-01 ERR 10 4.89156999e+00 1.22865863e+00 2.15173387e-01 | 5.14570731e+00 1.21804227e+00 1.81062298e-01 ERR 11 -4.83958223e+00 -1.45942169e+00 9.13047611e-01 | -5.10595815e+00 -1.45907230e+00 9.46811174e-01 ERR 12 -3.64477697e+00 1.25341632e+00 -1.22879941e+00 | -4.06557013e+00 1.25229014e+00 -1.24465598e+00 ERR 13 3.59278921e+00 -1.02265327e+00 1.00578416e-01 | 4.02582097e+00 -1.01126011e+00 1.16782508e-01 ERR 14 4.89156999e+00 1.22865863e+00 2.15173387e-01 | 5.14570731e+00 1.21804227e+00 1.81062298e-01 ERR 15 -4.83958223e+00 -1.45942169e+00 9.13047611e-01 | -5.10595815e+00 -1.45907230e+00 9.46811174e-01 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Al Cu, PBC = FTF (Configuration in file "config-AlCu-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)) = -11.499657012161137 2^p V(r_1,...,r_N) = -11.552733551665995 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 -2.57585901e+00 -2.34903656e-01 -2.70305957e+00 | -2.77951412e+00 -2.09883426e-01 -2.90054287e+00 ERR 1 3.52098816e+00 1.27353872e-01 -2.73020871e+00 | 3.67935527e+00 1.10638228e-01 -2.94813536e+00 ERR 2 2.13052823e+00 -5.65705391e-01 2.03435941e+00 | 2.41278530e+00 -5.31802099e-01 2.33201651e+00 ERR 3 -3.07565739e+00 6.73255175e-01 3.39890887e+00 | -3.31262645e+00 6.31047297e-01 3.51666172e+00 ERR 4 -2.57585901e+00 -2.34903656e-01 -2.70305957e+00 | -2.77951412e+00 -2.09883426e-01 -2.90054287e+00 ERR 5 3.52098816e+00 1.27353872e-01 -2.73020871e+00 | 3.67935527e+00 1.10638228e-01 -2.94813536e+00 ERR 6 2.13052823e+00 -5.65705391e-01 2.03435941e+00 | 2.41278530e+00 -5.31802099e-01 2.33201651e+00 ERR 7 -3.07565739e+00 6.73255175e-01 3.39890887e+00 | -3.31262645e+00 6.31047297e-01 3.51666172e+00 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Al Cu, PBC = FFT (Configuration in file "config-AlCu-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)) = -13.71636123945239 2^p V(r_1,...,r_N) = -13.953958998241134 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 -1.85298041e+00 -2.37602498e+00 -5.38911558e-01 | -2.10988621e+00 -2.64669769e+00 -4.87728108e-01 ERR 1 2.01853345e+00 2.56683317e+00 -6.64461576e-01 | 2.24267907e+00 2.80292367e+00 -6.12546709e-01 ERR 2 1.54201617e+00 -1.34455091e+00 4.09158978e-01 | 1.84010113e+00 -1.51993037e+00 3.75943728e-01 ERR 3 -1.70756920e+00 1.15374272e+00 7.94214156e-01 | -1.97289399e+00 1.36370439e+00 7.24331090e-01 ERR 4 -1.85298041e+00 -2.37602498e+00 -5.38911558e-01 | -2.10988621e+00 -2.64669769e+00 -4.87728108e-01 ERR 5 2.01853345e+00 2.56683317e+00 -6.64461576e-01 | 2.24267907e+00 2.80292367e+00 -6.12546709e-01 ERR 6 1.54201617e+00 -1.34455091e+00 4.09158978e-01 | 1.84010113e+00 -1.51993037e+00 3.75943728e-01 ERR 7 -1.70756920e+00 1.15374272e+00 7.94214156e-01 | -1.97289399e+00 1.36370439e+00 7.24331090e-01 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than 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: F Comment: Periodic boundary conditions were NOT supported correctly for at least one configuration that the model was able to This is an error in the implementation of the model.