Model Extended KIM ID = === Verification check vc-periodicity-support start (2018-12-15 06:32:21) === !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!! !!!!! !!!!! 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 : EAM_Dynamo_LiuLiuBorucki_1999_AlCu__MO_020851069572_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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = 0.0553339763776 2^p V(r_1,...,r_N) = 0.0553339763776 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 -6.81877368e+00 -6.97451346e+00 -8.47836887e+00 | -6.81877368e+00 -6.97451346e+00 -8.47836887e+00 1 4.81211580e+00 3.35442237e+00 -3.02832315e+00 | 4.81211580e+00 3.35442237e+00 -3.02832315e+00 2 5.54682848e+00 -4.42244036e+00 6.20445119e+00 | 5.54682848e+00 -4.42244036e+00 6.20445119e+00 3 -3.54017060e+00 8.04253145e+00 5.30224084e+00 | -3.54017060e+00 8.04253145e+00 5.30224084e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = 2.39962713275 2^p V(r_1,...,r_N) = 2.39962713275 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 -9.26571554e+00 -6.48247275e+00 -5.88610753e+00 | -9.26571554e+00 -6.48247275e+00 -5.88610753e+00 1 6.86301020e+00 5.50229607e+00 -8.42363825e+00 | 6.86301020e+00 5.50229607e+00 -8.42363825e+00 2 8.12889937e+00 -7.98107088e+00 1.02355302e+01 | 8.12889937e+00 -7.98107088e+00 1.02355302e+01 3 -5.72619403e+00 8.96124756e+00 4.07421556e+00 | -5.72619403e+00 8.96124756e+00 4.07421556e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = 5.58260001368 2^p V(r_1,...,r_N) = 5.58260001368 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 -8.76599706e+00 -8.89423084e+00 -1.23220715e+01 | -8.76599706e+00 -8.89423084e+00 -1.23220715e+01 1 1.13280939e+01 1.09442119e+01 -6.94872414e+00 | 1.13280939e+01 1.09442119e+01 -6.94872414e+00 2 7.86770289e+00 -1.00324305e+01 1.07166413e+01 | 7.86770289e+00 -1.00324305e+01 1.07166413e+01 3 -1.04297998e+01 7.98244939e+00 8.55415435e+00 | -1.04297998e+01 7.98244939e+00 8.55415435e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = 10.8336694027 2^p V(r_1,...,r_N) = 10.8336694027 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 -8.64340648e+00 -9.61422530e+00 -1.00638956e+01 | -8.64340648e+00 -9.61422530e+00 -1.00638956e+01 1 9.14883416e+00 1.07024312e+01 -7.41253606e+00 | 9.14883416e+00 1.07024312e+01 -7.41253606e+00 2 9.40873335e+00 -1.03576909e+01 1.01164079e+01 | 9.40873335e+00 -1.03576909e+01 1.01164079e+01 3 -9.91416103e+00 9.26948500e+00 7.36002378e+00 | -9.91416103e+00 9.26948500e+00 7.36002378e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = 5.28317170424 2^p V(r_1,...,r_N) = 5.28317170424 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 -1.11465146e+01 -8.52870651e+00 -1.02251547e+01 | -1.11465146e+01 -8.52870651e+00 -1.02251547e+01 1 8.54174766e+00 9.81868169e+00 -8.32318071e+00 | 8.54174766e+00 9.81868169e+00 -8.32318071e+00 2 1.05065961e+01 -1.11045291e+01 8.75809628e+00 | 1.05065961e+01 -1.11045291e+01 8.75809628e+00 3 -7.90182915e+00 9.81455387e+00 9.79023916e+00 | -7.90182915e+00 9.81455387e+00 9.79023916e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = 0.493896425894 2^p V(r_1,...,r_N) = 0.493896425894 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 -9.56875000e+00 -8.15368454e+00 -6.25805711e+00 | -9.56875000e+00 -8.15368454e+00 -6.25805711e+00 1 5.75649997e+00 7.97913195e+00 -6.91085610e+00 | 5.75649997e+00 7.97913195e+00 -6.91085610e+00 2 7.40405320e+00 -4.12925817e+00 1.03834724e+01 | 7.40405320e+00 -4.12925817e+00 1.03834724e+01 3 -3.59180317e+00 4.30381076e+00 2.78544080e+00 | -3.59180317e+00 4.30381076e+00 2.78544080e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = 8.89511745175 2^p V(r_1,...,r_N) = 8.89511745175 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 -8.98273898e+00 -8.37151534e+00 -1.23017473e+01 | -8.98273898e+00 -8.37151534e+00 -1.23017473e+01 1 1.11639134e+01 9.41826942e+00 -7.98441072e+00 | 1.11639134e+01 9.41826942e+00 -7.98441072e+00 2 7.42801723e+00 -9.07595316e+00 1.16446684e+01 | 7.42801723e+00 -9.07595316e+00 1.16446684e+01 3 -9.60919168e+00 8.02919907e+00 8.64148965e+00 | -9.60919168e+00 8.02919907e+00 8.64148965e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = -3.84786400433 2^p V(r_1,...,r_N) = -3.84786400433 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 -7.02430304e+00 -3.56250190e+00 -8.16809414e+00 | -7.02430304e+00 -3.56250190e+00 -8.16809414e+00 1 2.83418183e+00 5.21404429e+00 -3.86801761e+00 | 2.83418183e+00 5.21404429e+00 -3.86801761e+00 2 9.73837894e+00 -7.41328609e+00 8.53878940e+00 | 9.73837894e+00 -7.41328609e+00 8.53878940e+00 3 -5.54825773e+00 5.76174370e+00 3.49732235e+00 | -5.54825773e+00 5.76174370e+00 3.49732235e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = -3.04572484543 2^p V(r_1,...,r_N) = -3.04572484543 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 -5.74960003e+00 -3.99667181e+00 -4.59577976e+00 | -5.74960003e+00 -3.99667181e+00 -4.59577976e+00 1 3.98372780e+00 6.51424365e+00 -5.21497915e+00 | 3.98372780e+00 6.51424365e+00 -5.21497915e+00 2 9.55610185e+00 -9.08474796e+00 7.26645862e+00 | 9.55610185e+00 -9.08474796e+00 7.26645862e+00 3 -7.79022961e+00 6.56717612e+00 2.54430030e+00 | -7.79022961e+00 6.56717612e+00 2.54430030e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = -6.14408831768 2^p V(r_1,...,r_N) = -6.14408831768 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 -5.78085289e-01 -1.00788177e+00 -7.87132074e-01 | -5.78085289e-01 -1.00788177e+00 -7.87132074e-01 1 1.50730644e+00 3.47010146e+00 -6.20178136e+00 | 1.50730644e+00 3.47010146e+00 -6.20178136e+00 2 1.96751881e+00 -5.58684460e+00 6.16677182e+00 | 1.96751881e+00 -5.58684460e+00 6.16677182e+00 3 -2.89673996e+00 3.12462491e+00 8.22141614e-01 | -2.89673996e+00 3.12462491e+00 8.22141614e-01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = -6.34383437972 2^p V(r_1,...,r_N) = -6.34383437972 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 -3.31999507e+00 -3.71506457e+00 -6.08816719e+00 | -3.31999507e+00 -3.71506457e+00 -6.08816719e+00 1 2.11163303e+00 2.59057062e+00 -7.22015778e-01 | 2.11163303e+00 2.59057062e+00 -7.22015778e-01 2 3.37599913e+00 -1.86716379e+00 3.28608936e+00 | 3.37599913e+00 -1.86716379e+00 3.28608936e+00 3 -2.16763709e+00 2.99165774e+00 3.52409361e+00 | -2.16763709e+00 2.99165774e+00 3.52409361e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = -5.97599546249 2^p V(r_1,...,r_N) = -5.97599546249 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 -5.41615992e+00 -2.14640206e+00 -4.64295982e+00 | -5.41615992e+00 -2.14640206e+00 -4.64295982e+00 1 3.71342865e+00 1.94133486e+00 -3.56705212e+00 | 3.71342865e+00 1.94133486e+00 -3.56705212e+00 2 4.69047233e+00 -5.96834817e-01 5.59667560e+00 | 4.69047233e+00 -5.96834817e-01 5.59667560e+00 3 -2.98774105e+00 8.01902015e-01 2.61333634e+00 | -2.98774105e+00 8.01902015e-01 2.61333634e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = -3.52913037269 2^p V(r_1,...,r_N) = -3.52913037269 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 -5.38362536e+00 -6.43730378e+00 -2.11372380e+00 | -5.38362536e+00 -6.43730378e+00 -2.11372380e+00 1 6.06419777e+00 5.48766201e+00 -3.19518375e+00 | 6.06419777e+00 5.48766201e+00 -3.19518375e+00 2 7.13278290e+00 -7.49446307e+00 2.79430896e+00 | 7.13278290e+00 -7.49446307e+00 2.79430896e+00 3 -7.81335531e+00 8.44410484e+00 2.51459859e+00 | -7.81335531e+00 8.44410484e+00 2.51459859e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = -6.83520002053 2^p V(r_1,...,r_N) = -6.83520002053 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 -1.79017686e+00 -2.31224328e+00 -4.23493686e+00 | -1.79017686e+00 -2.31224328e+00 -4.23493686e+00 1 3.73542296e-01 2.30928054e-01 3.15426210e-01 | 3.73542296e-01 2.30928054e-01 3.15426210e-01 2 2.68574289e+00 -1.85701877e+00 1.59794250e+00 | 2.68574289e+00 -1.85701877e+00 1.59794250e+00 3 -1.26910833e+00 3.93833399e+00 2.32156815e+00 | -1.26910833e+00 3.93833399e+00 2.32156815e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = -4.48381137256 2^p V(r_1,...,r_N) = -4.48381137256 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 -3.60581303e+00 -1.82873889e+00 -3.24349022e+00 | -3.60581303e+00 -1.82873889e+00 -3.24349022e+00 1 1.76061485e+00 2.92978823e+00 -2.14416806e+00 | 1.76061485e+00 2.92978823e+00 -2.14416806e+00 2 4.94962925e+00 -5.06771204e+00 4.41841560e+00 | 4.94962925e+00 -5.06771204e+00 4.41841560e+00 3 -3.10443107e+00 3.96666269e+00 9.69242681e-01 | -3.10443107e+00 3.96666269e+00 9.69242681e-01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 in the number of atoms and in the energy. Energy requirement: V(DBL_p(r_1,...,r_N)) = (2^p) V(r_1,...,r_N), where r_i is the position of atom i, V is the potential energy, and DBL_p is an operator that doubles the configuration in p periodic directions. V(DBL_p(r_1,...,r_N)) = -3.60933106672 2^p V(r_1,...,r_N) = -3.60933106672 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 -6.46997474e+00 -3.49049240e+00 -7.58514167e+00 | -6.46997474e+00 -3.49049240e+00 -7.58514167e+00 1 2.39526638e+00 1.13877820e+00 -1.92609717e+00 | 2.39526638e+00 1.13877820e+00 -1.92609717e+00 2 6.55262551e+00 -2.20761165e+00 4.98586618e+00 | 6.55262551e+00 -2.20761165e+00 4.98586618e+00 3 -2.47791715e+00 4.55932586e+00 4.52537267e+00 | -2.47791715e+00 4.55932586e+00 4.52537267e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = -0.755268611013 2^p V(r_1,...,r_N) = -0.755268611013 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 -2.41353346e+00 -6.31424526e+00 -6.03907793e+00 | -2.41353346e+00 -6.31424526e+00 -6.03907793e+00 1 3.62346089e+00 3.12790359e+00 -5.16377500e+00 | 3.62346089e+00 3.12790359e+00 -5.16377500e+00 2 5.54293145e+00 -4.23690887e+00 3.80045601e+00 | 5.54293145e+00 -4.23690887e+00 3.80045601e+00 3 -6.75285888e+00 7.42325055e+00 7.40239692e+00 | -6.75285888e+00 7.42325055e+00 7.40239692e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = -2.22694952438 2^p V(r_1,...,r_N) = -2.22694952438 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 -4.20716732e+00 -4.36553012e+00 -5.49660948e+00 | -4.20716732e+00 -4.36553012e+00 -5.49660948e+00 1 3.18199619e+00 1.63959772e+00 -4.48745771e+00 | 3.18199619e+00 1.63959772e+00 -4.48745771e+00 2 5.83667208e+00 -3.32216607e+00 3.00246150e+00 | 5.83667208e+00 -3.32216607e+00 3.00246150e+00 3 -4.81150095e+00 6.04809846e+00 6.98160569e+00 | -4.81150095e+00 6.04809846e+00 6.98160569e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = -2.35376585489 2^p V(r_1,...,r_N) = -2.35376585489 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 -2.46767413e+00 -2.25954781e+00 -3.69695727e+00 | -2.46767413e+00 -2.25954781e+00 -3.69695727e+00 1 5.69935769e+00 3.24480813e+00 -4.74079224e+00 | 5.69935769e+00 3.24480813e+00 -4.74079224e+00 2 3.73491163e+00 -8.87837148e+00 2.80395199e+00 | 3.73491163e+00 -8.87837148e+00 2.80395199e+00 3 -6.96659519e+00 7.89311116e+00 5.63379752e+00 | -6.96659519e+00 7.89311116e+00 5.63379752e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = -2.73933759367 2^p V(r_1,...,r_N) = -2.73933759367 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 -7.76366380e+00 -5.98110847e+00 -2.28363112e+00 | -7.76366380e+00 -5.98110847e+00 -2.28363112e+00 1 7.79461676e+00 7.65148295e+00 -3.45422141e+00 | 7.79461676e+00 7.65148295e+00 -3.45422141e+00 2 3.53243818e+00 -4.56803491e+00 4.51118661e+00 | 3.53243818e+00 -4.56803491e+00 4.51118661e+00 3 -3.56339113e+00 2.89766043e+00 1.22666593e+00 | -3.56339113e+00 2.89766043e+00 1.22666593e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within 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=0 periodic directions, which means an increase by a factor n=2^0=1 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)) = -5.0261701526 2^p V(r_1,...,r_N) = -5.0261701526 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 -3.48294298e+00 -1.61726568e+00 -3.67105035e+00 | -3.48294298e+00 -1.61726568e+00 -3.67105035e+00 1 3.83829684e+00 2.69580689e+00 -4.63081718e+00 | 3.83829684e+00 2.69580689e+00 -4.63081718e+00 2 3.87794104e+00 -3.21261208e+00 4.63207184e+00 | 3.87794104e+00 -3.21261208e+00 4.63207184e+00 3 -4.23329490e+00 2.13407087e+00 3.66979568e+00 | -4.23329490e+00 2.13407087e+00 3.66979568e+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. === Verification check vc-periodicity-support end (2018-12-15 06:32:31) ===