Model Extended KIM ID = === Verification check vc-periodicity-support start (2018-12-15 06:32:37) === !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!! !!!!! !!!!! 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_MendelevHanSon_2007_VFe__MO_249706810527_005 Supported species : Fe V random seed = 13 lattice constant (orig) = 3.000 perturbation amplitude = 0.300 number unit cells per side = 1 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Fe, PBC = TTT (Configuration in file "config-Fe-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)) = -6.85091759271 2^p V(r_1,...,r_N) = -6.85091759271 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 -2.38660979e+00 -6.31272582e+00 -6.73803653e+00 | -2.38660979e+00 -6.31272582e+00 -6.73803653e+00 1 1.79492537e+00 1.44914377e+00 -1.17035141e+00 | 1.79492537e+00 1.44914377e+00 -1.17035141e+00 2 1.84957552e+00 -1.61437602e+00 2.61839922e+00 | 1.84957552e+00 -1.61437602e+00 2.61839922e+00 3 -1.25789109e+00 6.47795807e+00 5.28998873e+00 | -1.25789109e+00 6.47795807e+00 5.28998873e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Fe, PBC = TTF (Configuration in file "config-Fe-TTF.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=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)) = 0.844467748691 2^p V(r_1,...,r_N) = 0.844467748691 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 -2.29595090e+00 -3.44948163e+00 -2.48937875e+00 | -2.29595090e+00 -3.44948163e+00 -2.48937875e+00 1 2.76719386e+01 7.33862161e+00 -3.23930164e+01 | 2.76719386e+01 7.33862161e+00 -3.23930164e+01 2 5.49037766e+00 -5.89118345e+00 4.03996982e+00 | 5.49037766e+00 -5.89118345e+00 4.03996982e+00 3 -3.08663654e+01 2.00204347e+00 3.08424254e+01 | -3.08663654e+01 2.00204347e+00 3.08424254e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Fe, PBC = TFT (Configuration in file "config-Fe-TFT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=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)) = -2.4398779861 2^p V(r_1,...,r_N) = -2.4398779861 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 -4.86974255e+00 -2.17953912e+01 -2.25182325e+01 | -4.86974255e+00 -2.17953912e+01 -2.25182325e+01 1 2.54270967e+00 1.38352339e+00 -2.07641960e+00 | 2.54270967e+00 1.38352339e+00 -2.07641960e+00 2 1.97152765e+00 -2.01398212e+00 1.20693960e+00 | 1.97152765e+00 -2.01398212e+00 1.20693960e+00 3 3.55505225e-01 2.24258499e+01 2.33877125e+01 | 3.55505225e-01 2.24258499e+01 2.33877125e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Fe, PBC = TFF (Configuration in file "config-Fe-TFF.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=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)) = -5.84301133233 2^p V(r_1,...,r_N) = -5.84301133233 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 -4.23218774e+00 -5.08816458e+00 -2.25724259e+00 | -4.23218774e+00 -5.08816458e+00 -2.25724259e+00 1 9.78810484e+00 5.39629248e+00 -6.61482194e+00 | 9.78810484e+00 5.39629248e+00 -6.61482194e+00 2 9.33547468e-01 -1.48495567e+00 5.21552270e-01 | 9.33547468e-01 -1.48495567e+00 5.21552270e-01 3 -6.48946456e+00 1.17682777e+00 8.35051226e+00 | -6.48946456e+00 1.17682777e+00 8.35051226e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Fe, PBC = FTT (Configuration in file "config-Fe-FTT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=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)) = -7.6471964159 2^p V(r_1,...,r_N) = -7.6471964159 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 -3.90651805e+00 -2.01134771e+00 -4.23174590e+00 | -3.90651805e+00 -2.01134771e+00 -4.23174590e+00 1 5.60049700e-01 3.04101018e-01 -5.08735468e-01 | 5.60049700e-01 3.04101018e-01 -5.08735468e-01 2 4.10896440e+00 8.63774760e-02 3.54141873e+00 | 4.10896440e+00 8.63774760e-02 3.54141873e+00 3 -7.62496058e-01 1.62086922e+00 1.19906264e+00 | -7.62496058e-01 1.62086922e+00 1.19906264e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Fe, PBC = FTF (Configuration in file "config-Fe-FTF.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=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)) = -0.844264409033 2^p V(r_1,...,r_N) = -0.844264409033 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 -5.58112937e+00 -6.00796652e+00 -4.76000357e+00 | -5.58112937e+00 -6.00796652e+00 -4.76000357e+00 1 1.02206049e+01 1.83313193e+01 -2.12602456e+01 | 1.02206049e+01 1.83313193e+01 -2.12602456e+01 2 5.49830518e+00 -1.79441846e+01 1.56376205e+01 | 5.49830518e+00 -1.79441846e+01 1.56376205e+01 3 -1.01377807e+01 5.62083180e+00 1.03826287e+01 | -1.01377807e+01 5.62083180e+00 1.03826287e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = Fe, PBC = FFT (Configuration in file "config-Fe-FFT.xyz") ------------------------------------------------------------------------------------------------------------------------ The system is doubled in p=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)) = 1.6177787756 2^p V(r_1,...,r_N) = 1.6177787756 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 -5.21978912e+00 -4.53695942e+00 -6.12840350e+00 | -5.21978912e+00 -4.53695942e+00 -6.12840350e+00 1 1.14175981e+01 6.87454810e+00 -1.23711020e+01 | 1.14175981e+01 6.87454810e+00 -1.23711020e+01 2 2.07423823e+01 -2.79110705e+01 4.88623869e+00 | 2.07423823e+01 -2.79110705e+01 4.88623869e+00 3 -2.69401913e+01 2.55734819e+01 1.36132668e+01 | -2.69401913e+01 2.55734819e+01 1.36132668e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = V, PBC = TTT (Configuration in file "config-V-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)) = -6.27612364286 2^p V(r_1,...,r_N) = -6.27612364286 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 -5.23945020e+00 -5.23960105e+00 -6.50462752e+00 | -5.23945020e+00 -5.23960105e+00 -6.50462752e+00 1 4.50890274e+00 3.23715882e+00 -2.30637015e+00 | 4.50890274e+00 3.23715882e+00 -2.30637015e+00 2 7.67186223e+00 -8.13822725e+00 3.49980196e+00 | 7.67186223e+00 -8.13822725e+00 3.49980196e+00 3 -6.94131477e+00 1.01406695e+01 5.31119571e+00 | -6.94131477e+00 1.01406695e+01 5.31119571e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = V, PBC = TTF (Configuration in file "config-V-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)) = -3.55725963942 2^p V(r_1,...,r_N) = -3.55725963942 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 -1.64519582e+01 -6.75994944e+00 -1.59826415e+01 | -1.64519582e+01 -6.75994944e+00 -1.59826415e+01 1 4.44105605e+00 7.60871851e+00 -4.82626331e+00 | 4.44105605e+00 7.60871851e+00 -4.82626331e+00 2 1.65156863e+01 -5.88612490e+00 1.64434383e+01 | 1.65156863e+01 -5.88612490e+00 1.64434383e+01 3 -4.50478414e+00 5.03735583e+00 4.36546646e+00 | -4.50478414e+00 5.03735583e+00 4.36546646e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = V, PBC = TFT (Configuration in file "config-V-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)) = -8.45300664586 2^p V(r_1,...,r_N) = -8.45300664586 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 -5.39335694e+00 -3.67646528e+00 -4.47825104e+00 | -5.39335694e+00 -3.67646528e+00 -4.47825104e+00 1 4.48495995e+00 3.59128158e+00 -4.53110357e+00 | 4.48495995e+00 3.59128158e+00 -4.53110357e+00 2 4.46338728e+00 -1.77596048e+00 5.84997827e+00 | 4.46338728e+00 -1.77596048e+00 5.84997827e+00 3 -3.55499030e+00 1.86114418e+00 3.15937634e+00 | -3.55499030e+00 1.86114418e+00 3.15937634e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = V, PBC = TFF (Configuration in file "config-V-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)) = -5.87318459819 2^p V(r_1,...,r_N) = -5.87318459819 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 -5.39751594e+00 -6.56860021e+00 -3.74604410e+00 | -5.39751594e+00 -6.56860021e+00 -3.74604410e+00 1 6.02058469e+00 5.31567161e+00 -4.60667513e+00 | 6.02058469e+00 5.31567161e+00 -4.60667513e+00 2 8.42173025e+00 -8.76188333e+00 4.40448603e+00 | 8.42173025e+00 -8.76188333e+00 4.40448603e+00 3 -9.04479900e+00 1.00148119e+01 3.94823320e+00 | -9.04479900e+00 1.00148119e+01 3.94823320e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = V, PBC = FTT (Configuration in file "config-V-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)) = -10.0932369869 2^p V(r_1,...,r_N) = -10.0932369869 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 -2.13312360e+00 -3.29195609e+00 -3.65420096e+00 | -2.13312360e+00 -3.29195609e+00 -3.65420096e+00 1 1.98434879e+00 1.15193894e+00 -5.78743051e-01 | 1.98434879e+00 1.15193894e+00 -5.78743051e-01 2 1.85391828e+00 -1.90352070e+00 1.29691201e+00 | 1.85391828e+00 -1.90352070e+00 1.29691201e+00 3 -1.70514347e+00 4.04353785e+00 2.93603200e+00 | -1.70514347e+00 4.04353785e+00 2.93603200e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = V, PBC = FTF (Configuration in file "config-V-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)) = -8.19479267698 2^p V(r_1,...,r_N) = -8.19479267698 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 -2.92872960e+00 -5.61398272e+00 -6.45015809e+00 | -2.92872960e+00 -5.61398272e+00 -6.45015809e+00 1 3.49580276e+00 3.93035564e+00 -2.46255498e+00 | 3.49580276e+00 3.93035564e+00 -2.46255498e+00 2 3.47008963e+00 -3.35695088e+00 3.89904661e+00 | 3.47008963e+00 -3.35695088e+00 3.89904661e+00 3 -4.03716278e+00 5.04057797e+00 5.01366646e+00 | -4.03716278e+00 5.04057797e+00 5.01366646e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = V, PBC = FFT (Configuration in file "config-V-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)) = -9.97251444999 2^p V(r_1,...,r_N) = -9.97251444999 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 -3.96881724e+00 -1.62133472e+00 -3.18642688e+00 | -3.96881724e+00 -1.62133472e+00 -3.18642688e+00 1 2.50807467e+00 2.94710326e+00 -8.65605043e-01 | 2.50807467e+00 2.94710326e+00 -8.65605043e-01 2 2.02653030e+00 -2.03499159e+00 4.11802411e+00 | 2.02653030e+00 -2.03499159e+00 4.11802411e+00 3 -5.65787739e-01 7.09223061e-01 -6.59921935e-02 | -5.65787739e-01 7.09223061e-01 -6.59921935e-02 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Fe V, PBC = TTT (Configuration in file "config-FeV-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)) = -9.04470898213 2^p V(r_1,...,r_N) = -9.04470898213 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 -9.49807006e-01 -4.47091530e+00 -7.14729161e+00 | -9.49807006e-01 -4.47091530e+00 -7.14729161e+00 1 1.50947637e+00 1.53381057e+00 -1.30928494e+00 | 1.50947637e+00 1.53381057e+00 -1.30928494e+00 2 5.76465930e+00 -3.59539698e+00 2.12983096e+00 | 5.76465930e+00 -3.59539698e+00 2.12983096e+00 3 -6.32432866e+00 6.53250172e+00 6.32674558e+00 | -6.32432866e+00 6.53250172e+00 6.32674558e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Fe V, PBC = TTF (Configuration in file "config-FeV-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)) = -6.91326547417 2^p V(r_1,...,r_N) = -6.91326547417 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 -1.11934223e+01 -7.89485416e+00 -1.44001120e+01 | -1.11934223e+01 -7.89485416e+00 -1.44001120e+01 1 1.81423683e+00 2.24649277e+00 -1.21499569e+00 | 1.81423683e+00 2.24649277e+00 -1.21499569e+00 2 1.30831852e+01 -1.38214157e+00 1.13071462e+01 | 1.30831852e+01 -1.38214157e+00 1.13071462e+01 3 -3.70399967e+00 7.03050296e+00 4.30796148e+00 | -3.70399967e+00 7.03050296e+00 4.30796148e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Fe V, PBC = TFT (Configuration in file "config-FeV-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)) = -10.1407124895 2^p V(r_1,...,r_N) = -10.1407124895 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 8.54365086e-01 2.87473686e-01 6.29415382e-01 | 8.54365086e-01 2.87473686e-01 6.29415382e-01 1 -2.44681804e-01 -5.66086869e-02 -2.37845089e-01 | -2.44681804e-01 -5.66086869e-02 -2.37845089e-01 2 2.21867577e+00 -2.20190587e+00 -5.41568624e-01 | 2.21867577e+00 -2.20190587e+00 -5.41568624e-01 3 -2.82835906e+00 1.97104087e+00 1.49998331e-01 | -2.82835906e+00 1.97104087e+00 1.49998331e-01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Fe V, PBC = TFF (Configuration in file "config-FeV-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)) = -6.86778460752 2^p V(r_1,...,r_N) = -6.86778460752 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 -4.82927352e+00 -8.59004719e+00 -8.50031027e+00 | -4.82927352e+00 -8.59004719e+00 -8.50031027e+00 1 6.19286579e+00 4.74767506e+00 -3.06810492e+00 | 6.19286579e+00 4.74767506e+00 -3.06810492e+00 2 7.01044586e+00 -5.52694187e+00 7.32843664e+00 | 7.01044586e+00 -5.52694187e+00 7.32843664e+00 3 -8.37403814e+00 9.36931400e+00 4.23997855e+00 | -8.37403814e+00 9.36931400e+00 4.23997855e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Fe V, PBC = FTT (Configuration in file "config-FeV-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)) = -6.35261704932 2^p V(r_1,...,r_N) = -6.35261704932 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 -3.97294383e+00 -1.25187660e+01 -1.50325873e+01 | -3.97294383e+00 -1.25187660e+01 -1.50325873e+01 1 3.82429225e+00 5.76367353e+00 -4.65935675e+00 | 3.82429225e+00 5.76367353e+00 -4.65935675e+00 2 3.60211773e+00 -5.08850788e+00 3.35018397e+00 | 3.60211773e+00 -5.08850788e+00 3.35018397e+00 3 -3.45346615e+00 1.18436004e+01 1.63417601e+01 | -3.45346615e+00 1.18436004e+01 1.63417601e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Fe V, PBC = FTF (Configuration in file "config-FeV-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)) = -4.89827243536 2^p V(r_1,...,r_N) = -4.89827243536 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 -1.52412272e+01 -3.65446008e+00 -1.94331342e+01 | -1.52412272e+01 -3.65446008e+00 -1.94331342e+01 1 3.10412839e+00 2.70420005e+00 -2.67782509e+00 | 3.10412839e+00 2.70420005e+00 -2.67782509e+00 2 1.66089353e+01 -5.88528100e+00 1.96804196e+01 | 1.66089353e+01 -5.88528100e+00 1.96804196e+01 3 -4.47183656e+00 6.83554103e+00 2.43053975e+00 | -4.47183656e+00 6.83554103e+00 2.43053975e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = Fe V, PBC = FFT (Configuration in file "config-FeV-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)) = 16.4597825347 2^p V(r_1,...,r_N) = 16.4597825347 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 -6.03798159e+01 -2.82409189e+01 -7.47873859e+01 | -6.03798159e+01 -2.82409189e+01 -7.47873859e+01 1 1.59169229e+01 2.09729922e+01 -9.19281809e+00 | 1.59169229e+01 2.09729922e+01 -9.19281809e+00 2 6.17995003e+01 -1.52322411e+01 6.95618082e+01 | 6.17995003e+01 -1.52322411e+01 6.95618082e+01 3 -1.73366073e+01 2.25001678e+01 1.44183957e+01 | -1.73366073e+01 2.25001678e+01 1.44183957e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ ======================================================================================================================== ======================================================================================================================== To pass this verification check the model must correctly support periodic boundary conditions for all configurations it was able to compute. Grade: P Comment: Periodic boundary conditions were correctly supported for all configurations that the model was able to compute. === Verification check vc-periodicity-support end (2018-12-15 06:32:50) ===