!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!! !!!!! !!!!! 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_SMTBQ_SallesPolitanoAmzallag_2016_TiO__SM_349577644423_000 Supported species : O Ti random seed = 13 lattice constant (orig) = 3.000 perturbation amplitude = 0.300 number unit cells per side = 1 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = O, PBC = TTT (Configuration in file "config-O-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)) = 327.52674525453466 2^p V(r_1,...,r_N) = 327.5267452545353 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 -2.49169126e+00 2.43678702e+00 -4.40182581e+00 | -2.49169126e+00 2.43678702e+00 -4.40182581e+00 1 -2.61072117e+00 -4.46465798e+00 3.98835256e+00 | -2.61072117e+00 -4.46465798e+00 3.98835256e+00 2 -2.05070475e+00 8.91173656e-01 -3.25126696e+00 | -2.05070475e+00 8.91173656e-01 -3.25126696e+00 3 7.15311719e+00 1.13669730e+00 3.66474021e+00 | 7.15311719e+00 1.13669730e+00 3.66474021e+00 4 -2.49169126e+00 2.43678702e+00 -4.40182581e+00 | -2.49169126e+00 2.43678702e+00 -4.40182581e+00 5 -2.61072117e+00 -4.46465798e+00 3.98835256e+00 | -2.61072117e+00 -4.46465798e+00 3.98835256e+00 6 -2.05070475e+00 8.91173656e-01 -3.25126696e+00 | -2.05070475e+00 8.91173656e-01 -3.25126696e+00 7 7.15311719e+00 1.13669730e+00 3.66474021e+00 | 7.15311719e+00 1.13669730e+00 3.66474021e+00 8 -2.49169126e+00 2.43678702e+00 -4.40182581e+00 | -2.49169126e+00 2.43678702e+00 -4.40182581e+00 9 -2.61072117e+00 -4.46465798e+00 3.98835256e+00 | -2.61072117e+00 -4.46465798e+00 3.98835256e+00 10 -2.05070475e+00 8.91173656e-01 -3.25126696e+00 | -2.05070475e+00 8.91173656e-01 -3.25126696e+00 11 7.15311719e+00 1.13669730e+00 3.66474021e+00 | 7.15311719e+00 1.13669730e+00 3.66474021e+00 12 -2.49169126e+00 2.43678702e+00 -4.40182581e+00 | -2.49169126e+00 2.43678702e+00 -4.40182581e+00 13 -2.61072117e+00 -4.46465798e+00 3.98835256e+00 | -2.61072117e+00 -4.46465798e+00 3.98835256e+00 14 -2.05070475e+00 8.91173656e-01 -3.25126696e+00 | -2.05070475e+00 8.91173656e-01 -3.25126696e+00 15 7.15311719e+00 1.13669730e+00 3.66474021e+00 | 7.15311719e+00 1.13669730e+00 3.66474021e+00 16 -2.49169126e+00 2.43678702e+00 -4.40182581e+00 | -2.49169126e+00 2.43678702e+00 -4.40182581e+00 17 -2.61072117e+00 -4.46465798e+00 3.98835256e+00 | -2.61072117e+00 -4.46465798e+00 3.98835256e+00 18 -2.05070475e+00 8.91173656e-01 -3.25126696e+00 | -2.05070475e+00 8.91173656e-01 -3.25126696e+00 19 7.15311719e+00 1.13669730e+00 3.66474021e+00 | 7.15311719e+00 1.13669730e+00 3.66474021e+00 20 -2.49169126e+00 2.43678702e+00 -4.40182581e+00 | -2.49169126e+00 2.43678702e+00 -4.40182581e+00 21 -2.61072117e+00 -4.46465798e+00 3.98835256e+00 | -2.61072117e+00 -4.46465798e+00 3.98835256e+00 22 -2.05070475e+00 8.91173656e-01 -3.25126696e+00 | -2.05070475e+00 8.91173656e-01 -3.25126696e+00 23 7.15311719e+00 1.13669730e+00 3.66474021e+00 | 7.15311719e+00 1.13669730e+00 3.66474021e+00 24 -2.49169126e+00 2.43678702e+00 -4.40182581e+00 | -2.49169126e+00 2.43678702e+00 -4.40182581e+00 25 -2.61072117e+00 -4.46465798e+00 3.98835256e+00 | -2.61072117e+00 -4.46465798e+00 3.98835256e+00 26 -2.05070475e+00 8.91173656e-01 -3.25126696e+00 | -2.05070475e+00 8.91173656e-01 -3.25126696e+00 27 7.15311719e+00 1.13669730e+00 3.66474021e+00 | 7.15311719e+00 1.13669730e+00 3.66474021e+00 28 -2.49169126e+00 2.43678702e+00 -4.40182581e+00 | -2.49169126e+00 2.43678702e+00 -4.40182581e+00 29 -2.61072117e+00 -4.46465798e+00 3.98835256e+00 | -2.61072117e+00 -4.46465798e+00 3.98835256e+00 30 -2.05070475e+00 8.91173656e-01 -3.25126696e+00 | -2.05070475e+00 8.91173656e-01 -3.25126696e+00 31 7.15311719e+00 1.13669730e+00 3.66474021e+00 | 7.15311719e+00 1.13669730e+00 3.66474021e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = O, PBC = TTF (Configuration in file "config-O-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)) = 111.29523889211848 2^p V(r_1,...,r_N) = 111.29523889211846 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 5.53222746e+00 -3.80632238e+00 -1.35319243e+01 | 5.53222746e+00 -3.80632238e+00 -1.35319243e+01 1 -2.82079576e+00 8.04132592e+00 -1.51959191e+01 | -2.82079576e+00 8.04132592e+00 -1.51959191e+01 2 1.23235409e+00 -1.81296047e+00 1.65334096e+01 | 1.23235409e+00 -1.81296047e+00 1.65334096e+01 3 -3.94378579e+00 -2.42204307e+00 1.21944337e+01 | -3.94378579e+00 -2.42204307e+00 1.21944337e+01 4 5.53222746e+00 -3.80632238e+00 -1.35319243e+01 | 5.53222746e+00 -3.80632238e+00 -1.35319243e+01 5 -2.82079576e+00 8.04132592e+00 -1.51959191e+01 | -2.82079576e+00 8.04132592e+00 -1.51959191e+01 6 1.23235409e+00 -1.81296047e+00 1.65334096e+01 | 1.23235409e+00 -1.81296047e+00 1.65334096e+01 7 -3.94378579e+00 -2.42204307e+00 1.21944337e+01 | -3.94378579e+00 -2.42204307e+00 1.21944337e+01 8 5.53222746e+00 -3.80632238e+00 -1.35319243e+01 | 5.53222746e+00 -3.80632238e+00 -1.35319243e+01 9 -2.82079576e+00 8.04132592e+00 -1.51959191e+01 | -2.82079576e+00 8.04132592e+00 -1.51959191e+01 10 1.23235409e+00 -1.81296047e+00 1.65334096e+01 | 1.23235409e+00 -1.81296047e+00 1.65334096e+01 11 -3.94378579e+00 -2.42204307e+00 1.21944337e+01 | -3.94378579e+00 -2.42204307e+00 1.21944337e+01 12 5.53222746e+00 -3.80632238e+00 -1.35319243e+01 | 5.53222746e+00 -3.80632238e+00 -1.35319243e+01 13 -2.82079576e+00 8.04132592e+00 -1.51959191e+01 | -2.82079576e+00 8.04132592e+00 -1.51959191e+01 14 1.23235409e+00 -1.81296047e+00 1.65334096e+01 | 1.23235409e+00 -1.81296047e+00 1.65334096e+01 15 -3.94378579e+00 -2.42204307e+00 1.21944337e+01 | -3.94378579e+00 -2.42204307e+00 1.21944337e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = O, PBC = TFT (Configuration in file "config-O-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)) = 125.28379993035341 2^p V(r_1,...,r_N) = 125.28379993035382 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 -3.83266731e+00 -1.45351830e+01 3.23109662e+00 | -3.83266731e+00 -1.45351830e+01 3.23109662e+00 1 7.26932545e+00 1.57306386e+01 5.14165302e+00 | 7.26932545e+00 1.57306386e+01 5.14165302e+00 2 6.25291070e+00 -1.81798750e+01 -5.58673014e+00 | 6.25291070e+00 -1.81798750e+01 -5.58673014e+00 3 -9.68956884e+00 1.69844194e+01 -2.78601950e+00 | -9.68956884e+00 1.69844194e+01 -2.78601950e+00 4 -3.83266731e+00 -1.45351830e+01 3.23109662e+00 | -3.83266731e+00 -1.45351830e+01 3.23109662e+00 5 7.26932545e+00 1.57306386e+01 5.14165302e+00 | 7.26932545e+00 1.57306386e+01 5.14165302e+00 6 6.25291070e+00 -1.81798750e+01 -5.58673014e+00 | 6.25291070e+00 -1.81798750e+01 -5.58673014e+00 7 -9.68956884e+00 1.69844194e+01 -2.78601950e+00 | -9.68956884e+00 1.69844194e+01 -2.78601950e+00 8 -3.83266731e+00 -1.45351830e+01 3.23109662e+00 | -3.83266731e+00 -1.45351830e+01 3.23109662e+00 9 7.26932545e+00 1.57306386e+01 5.14165302e+00 | 7.26932545e+00 1.57306386e+01 5.14165302e+00 10 6.25291070e+00 -1.81798750e+01 -5.58673014e+00 | 6.25291070e+00 -1.81798750e+01 -5.58673014e+00 11 -9.68956884e+00 1.69844194e+01 -2.78601950e+00 | -9.68956884e+00 1.69844194e+01 -2.78601950e+00 12 -3.83266731e+00 -1.45351830e+01 3.23109662e+00 | -3.83266731e+00 -1.45351830e+01 3.23109662e+00 13 7.26932545e+00 1.57306386e+01 5.14165302e+00 | 7.26932545e+00 1.57306386e+01 5.14165302e+00 14 6.25291070e+00 -1.81798750e+01 -5.58673014e+00 | 6.25291070e+00 -1.81798750e+01 -5.58673014e+00 15 -9.68956884e+00 1.69844194e+01 -2.78601950e+00 | -9.68956884e+00 1.69844194e+01 -2.78601950e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = O, PBC = TFF (Configuration in file "config-O-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)) = 27.244196136059994 2^p V(r_1,...,r_N) = 27.244196136059998 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 -5.71284506e+00 -1.01702855e+01 -7.12312261e+00 | -5.71284506e+00 -1.01702855e+01 -7.12312261e+00 1 3.61004838e+00 1.04800812e+01 -6.37451078e+00 | 3.61004838e+00 1.04800812e+01 -6.37451078e+00 2 2.20069763e+00 -7.54248647e+00 7.77011157e+00 | 2.20069763e+00 -7.54248647e+00 7.77011157e+00 3 -9.79009476e-02 7.23269080e+00 5.72752182e+00 | -9.79009476e-02 7.23269080e+00 5.72752182e+00 4 -5.71284506e+00 -1.01702855e+01 -7.12312261e+00 | -5.71284506e+00 -1.01702855e+01 -7.12312261e+00 5 3.61004838e+00 1.04800812e+01 -6.37451078e+00 | 3.61004838e+00 1.04800812e+01 -6.37451078e+00 6 2.20069763e+00 -7.54248647e+00 7.77011157e+00 | 2.20069763e+00 -7.54248647e+00 7.77011157e+00 7 -9.79009476e-02 7.23269080e+00 5.72752182e+00 | -9.79009476e-02 7.23269080e+00 5.72752182e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = O, PBC = FTT (Configuration in file "config-O-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)) = 135.27983762156063 2^p V(r_1,...,r_N) = 135.2798376215607 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 -1.67549923e+01 -1.26250780e+01 -1.66766332e+00 | -1.67549923e+01 -1.26250780e+01 -1.66766332e+00 1 1.73468667e+01 7.31645296e+00 -4.82265424e+00 | 1.73468667e+01 7.31645296e+00 -4.82265424e+00 2 1.53619715e+01 -4.55309012e+00 4.78701305e+00 | 1.53619715e+01 -4.55309012e+00 4.78701305e+00 3 -1.59538459e+01 9.86171514e+00 1.70330451e+00 | -1.59538459e+01 9.86171514e+00 1.70330451e+00 4 -1.67549923e+01 -1.26250780e+01 -1.66766332e+00 | -1.67549923e+01 -1.26250780e+01 -1.66766332e+00 5 1.73468667e+01 7.31645296e+00 -4.82265424e+00 | 1.73468667e+01 7.31645296e+00 -4.82265424e+00 6 1.53619715e+01 -4.55309012e+00 4.78701305e+00 | 1.53619715e+01 -4.55309012e+00 4.78701305e+00 7 -1.59538459e+01 9.86171514e+00 1.70330451e+00 | -1.59538459e+01 9.86171514e+00 1.70330451e+00 8 -1.67549923e+01 -1.26250780e+01 -1.66766332e+00 | -1.67549923e+01 -1.26250780e+01 -1.66766332e+00 9 1.73468667e+01 7.31645296e+00 -4.82265424e+00 | 1.73468667e+01 7.31645296e+00 -4.82265424e+00 10 1.53619715e+01 -4.55309012e+00 4.78701305e+00 | 1.53619715e+01 -4.55309012e+00 4.78701305e+00 11 -1.59538459e+01 9.86171514e+00 1.70330451e+00 | -1.59538459e+01 9.86171514e+00 1.70330451e+00 12 -1.67549923e+01 -1.26250780e+01 -1.66766332e+00 | -1.67549923e+01 -1.26250780e+01 -1.66766332e+00 13 1.73468667e+01 7.31645296e+00 -4.82265424e+00 | 1.73468667e+01 7.31645296e+00 -4.82265424e+00 14 1.53619715e+01 -4.55309012e+00 4.78701305e+00 | 1.53619715e+01 -4.55309012e+00 4.78701305e+00 15 -1.59538459e+01 9.86171514e+00 1.70330451e+00 | -1.59538459e+01 9.86171514e+00 1.70330451e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = O, PBC = FTF (Configuration in file "config-O-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)) = 52.22591417399504 2^p V(r_1,...,r_N) = 52.22591417399504 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 -1.32958171e+01 6.21770099e+00 -1.61661712e+01 | -1.32958171e+01 6.21770099e+00 -1.61661712e+01 1 1.22701657e+01 4.37825988e+00 -1.85576376e+00 | 1.22701657e+01 4.37825988e+00 -1.85576376e+00 2 1.57638030e+01 -2.99498137e+00 3.53601263e+00 | 1.57638030e+01 -2.99498137e+00 3.53601263e+00 3 -1.47381516e+01 -7.60097949e+00 1.44859223e+01 | -1.47381516e+01 -7.60097949e+00 1.44859223e+01 4 -1.32958171e+01 6.21770099e+00 -1.61661712e+01 | -1.32958171e+01 6.21770099e+00 -1.61661712e+01 5 1.22701657e+01 4.37825988e+00 -1.85576376e+00 | 1.22701657e+01 4.37825988e+00 -1.85576376e+00 6 1.57638030e+01 -2.99498137e+00 3.53601263e+00 | 1.57638030e+01 -2.99498137e+00 3.53601263e+00 7 -1.47381516e+01 -7.60097949e+00 1.44859223e+01 | -1.47381516e+01 -7.60097949e+00 1.44859223e+01 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MONOATOMIC STRUCTURE -- Species = O, PBC = FFT (Configuration in file "config-O-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)) = 57.26391767536422 2^p V(r_1,...,r_N) = 57.263917675364205 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 -6.53877182e+00 -1.42255545e+01 -1.01916219e+01 | -6.53877182e+00 -1.42255545e+01 -1.01916219e+01 1 9.20314077e+00 1.46546152e+01 1.52523537e+00 | 9.20314077e+00 1.46546152e+01 1.52523537e+00 2 1.29212287e+01 -2.62595936e+01 1.47327444e+01 | 1.29212287e+01 -2.62595936e+01 1.47327444e+01 3 -1.55855976e+01 2.58305328e+01 -6.06635779e+00 | -1.55855976e+01 2.58305328e+01 -6.06635779e+00 4 -6.53877182e+00 -1.42255545e+01 -1.01916219e+01 | -6.53877182e+00 -1.42255545e+01 -1.01916219e+01 5 9.20314077e+00 1.46546152e+01 1.52523537e+00 | 9.20314077e+00 1.46546152e+01 1.52523537e+00 6 1.29212287e+01 -2.62595936e+01 1.47327444e+01 | 1.29212287e+01 -2.62595936e+01 1.47327444e+01 7 -1.55855976e+01 2.58305328e+01 -6.06635779e+00 | -1.55855976e+01 2.58305328e+01 -6.06635779e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ WARNING: The model provided, Sim_LAMMPS_SMTBQ_SallesPolitanoAmzallag_2016_TiO__SM_349577644423_000, does not possess a non-trivial energy interaction for species Ti as required by this Verification Check. Skipping... MIXED STRUCTURE -- Species = O Ti, PBC = TTT (Configuration in file "config-OTi-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)) = -221.0477199845558 2^p V(r_1,...,r_N) = -221.04771998455413 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 5.37871035e+00 -6.38778206e+00 1.63610580e+00 | 5.37871038e+00 -6.38778206e+00 1.63610582e+00 ERR 1 -7.58456019e+00 2.08953355e+00 6.51970934e+00 | -7.58456024e+00 2.08953353e+00 6.51970942e+00 ERR 2 -2.33771760e+00 1.96017270e+00 -5.32839565e-01 | -2.33771762e+00 1.96017264e+00 -5.32839546e-01 ERR 3 4.54356745e+00 2.33807580e+00 -7.62297557e+00 | 4.54356747e+00 2.33807589e+00 -7.62297569e+00 ERR 4 5.37871035e+00 -6.38778206e+00 1.63610580e+00 | 5.37871038e+00 -6.38778206e+00 1.63610582e+00 ERR 5 -7.58456019e+00 2.08953355e+00 6.51970934e+00 | -7.58456024e+00 2.08953353e+00 6.51970942e+00 ERR 6 -2.33771760e+00 1.96017270e+00 -5.32839565e-01 | -2.33771762e+00 1.96017264e+00 -5.32839546e-01 ERR 7 4.54356745e+00 2.33807580e+00 -7.62297557e+00 | 4.54356747e+00 2.33807589e+00 -7.62297569e+00 ERR 8 5.37871035e+00 -6.38778206e+00 1.63610580e+00 | 5.37871038e+00 -6.38778206e+00 1.63610582e+00 ERR 9 -7.58456019e+00 2.08953355e+00 6.51970934e+00 | -7.58456024e+00 2.08953353e+00 6.51970942e+00 ERR 10 -2.33771760e+00 1.96017270e+00 -5.32839565e-01 | -2.33771762e+00 1.96017264e+00 -5.32839546e-01 ERR 11 4.54356745e+00 2.33807580e+00 -7.62297557e+00 | 4.54356747e+00 2.33807589e+00 -7.62297569e+00 ERR 12 5.37871035e+00 -6.38778206e+00 1.63610580e+00 | 5.37871038e+00 -6.38778206e+00 1.63610582e+00 ERR 13 -7.58456019e+00 2.08953355e+00 6.51970934e+00 | -7.58456024e+00 2.08953353e+00 6.51970942e+00 ERR 14 -2.33771760e+00 1.96017270e+00 -5.32839565e-01 | -2.33771762e+00 1.96017264e+00 -5.32839546e-01 ERR 15 4.54356745e+00 2.33807580e+00 -7.62297557e+00 | 4.54356747e+00 2.33807589e+00 -7.62297569e+00 ERR 16 5.37871035e+00 -6.38778206e+00 1.63610580e+00 | 5.37871038e+00 -6.38778206e+00 1.63610582e+00 ERR 17 -7.58456019e+00 2.08953355e+00 6.51970934e+00 | -7.58456024e+00 2.08953353e+00 6.51970942e+00 ERR 18 -2.33771760e+00 1.96017270e+00 -5.32839565e-01 | -2.33771762e+00 1.96017264e+00 -5.32839546e-01 ERR 19 4.54356745e+00 2.33807580e+00 -7.62297557e+00 | 4.54356747e+00 2.33807589e+00 -7.62297569e+00 ERR 20 5.37871035e+00 -6.38778206e+00 1.63610580e+00 | 5.37871038e+00 -6.38778206e+00 1.63610582e+00 ERR 21 -7.58456019e+00 2.08953355e+00 6.51970934e+00 | -7.58456024e+00 2.08953353e+00 6.51970942e+00 ERR 22 -2.33771760e+00 1.96017270e+00 -5.32839565e-01 | -2.33771762e+00 1.96017264e+00 -5.32839546e-01 ERR 23 4.54356745e+00 2.33807580e+00 -7.62297557e+00 | 4.54356747e+00 2.33807589e+00 -7.62297569e+00 ERR 24 5.37871035e+00 -6.38778206e+00 1.63610580e+00 | 5.37871038e+00 -6.38778206e+00 1.63610582e+00 ERR 25 -7.58456019e+00 2.08953355e+00 6.51970934e+00 | -7.58456024e+00 2.08953353e+00 6.51970942e+00 ERR 26 -2.33771760e+00 1.96017270e+00 -5.32839565e-01 | -2.33771762e+00 1.96017264e+00 -5.32839546e-01 ERR 27 4.54356745e+00 2.33807580e+00 -7.62297557e+00 | 4.54356747e+00 2.33807589e+00 -7.62297569e+00 ERR 28 5.37871035e+00 -6.38778206e+00 1.63610580e+00 | 5.37871038e+00 -6.38778206e+00 1.63610582e+00 ERR 29 -7.58456019e+00 2.08953355e+00 6.51970934e+00 | -7.58456024e+00 2.08953353e+00 6.51970942e+00 ERR 30 -2.33771760e+00 1.96017270e+00 -5.32839565e-01 | -2.33771762e+00 1.96017264e+00 -5.32839546e-01 ERR 31 4.54356745e+00 2.33807580e+00 -7.62297557e+00 | 4.54356747e+00 2.33807589e+00 -7.62297569e+00 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = O Ti, PBC = TTF (Configuration in file "config-OTi-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)) = -110.60197328427792 2^p V(r_1,...,r_N) = -110.60197328427762 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 2.37476771e+00 1.72266735e+00 1.32132618e+00 | 2.37476784e+00 1.72266742e+00 1.32132364e+00 ERR 1 -2.64233996e+00 -4.44721740e+00 -9.61974096e+00 | -2.64234008e+00 -4.44721743e+00 -9.61973882e+00 ERR 2 -7.31474370e+00 8.89739037e+00 1.01015745e+01 | -7.31474387e+00 8.89739054e+00 1.01015771e+01 ERR 3 7.58231596e+00 -6.17284031e+00 -1.80315971e+00 | 7.58231611e+00 -6.17284053e+00 -1.80316192e+00 ERR 4 2.37476771e+00 1.72266735e+00 1.32132618e+00 | 2.37476784e+00 1.72266742e+00 1.32132364e+00 ERR 5 -2.64233996e+00 -4.44721740e+00 -9.61974096e+00 | -2.64234008e+00 -4.44721743e+00 -9.61973882e+00 ERR 6 -7.31474370e+00 8.89739037e+00 1.01015745e+01 | -7.31474387e+00 8.89739054e+00 1.01015771e+01 ERR 7 7.58231596e+00 -6.17284031e+00 -1.80315971e+00 | 7.58231611e+00 -6.17284053e+00 -1.80316192e+00 ERR 8 2.37476771e+00 1.72266735e+00 1.32132618e+00 | 2.37476784e+00 1.72266742e+00 1.32132364e+00 ERR 9 -2.64233996e+00 -4.44721740e+00 -9.61974096e+00 | -2.64234008e+00 -4.44721743e+00 -9.61973882e+00 ERR 10 -7.31474370e+00 8.89739037e+00 1.01015745e+01 | -7.31474387e+00 8.89739054e+00 1.01015771e+01 ERR 11 7.58231596e+00 -6.17284031e+00 -1.80315971e+00 | 7.58231611e+00 -6.17284053e+00 -1.80316192e+00 ERR 12 2.37476771e+00 1.72266735e+00 1.32132618e+00 | 2.37476784e+00 1.72266742e+00 1.32132364e+00 ERR 13 -2.64233996e+00 -4.44721740e+00 -9.61974096e+00 | -2.64234008e+00 -4.44721743e+00 -9.61973882e+00 ERR 14 -7.31474370e+00 8.89739037e+00 1.01015745e+01 | -7.31474387e+00 8.89739054e+00 1.01015771e+01 ERR 15 7.58231596e+00 -6.17284031e+00 -1.80315971e+00 | 7.58231611e+00 -6.17284053e+00 -1.80316192e+00 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = O Ti, PBC = TFT (Configuration in file "config-OTi-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)) = -121.22762386384036 2^p V(r_1,...,r_N) = -121.22762386384031 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 -1.40739457e+00 9.00003447e-01 -1.62689402e+00 | -1.40739460e+00 9.00001074e-01 -1.62689420e+00 ERR 1 -1.31936114e+00 -1.30178957e+00 -1.77867349e+00 | -1.31936132e+00 -1.30179145e+00 -1.77867336e+00 ERR 2 3.68157951e+00 -3.77335324e+00 2.70493782e+00 | 3.68157978e+00 -3.77335091e+00 2.70493784e+00 ERR 3 -9.54823794e-01 4.17513936e+00 7.00629695e-01 | -9.54823860e-01 4.17514129e+00 7.00629716e-01 ERR 4 -1.40739457e+00 9.00003447e-01 -1.62689402e+00 | -1.40739460e+00 9.00001074e-01 -1.62689420e+00 ERR 5 -1.31936114e+00 -1.30178957e+00 -1.77867349e+00 | -1.31936132e+00 -1.30179145e+00 -1.77867336e+00 ERR 6 3.68157951e+00 -3.77335324e+00 2.70493782e+00 | 3.68157978e+00 -3.77335091e+00 2.70493784e+00 ERR 7 -9.54823794e-01 4.17513936e+00 7.00629695e-01 | -9.54823860e-01 4.17514129e+00 7.00629716e-01 ERR 8 -1.40739457e+00 9.00003447e-01 -1.62689402e+00 | -1.40739460e+00 9.00001074e-01 -1.62689420e+00 ERR 9 -1.31936114e+00 -1.30178957e+00 -1.77867349e+00 | -1.31936132e+00 -1.30179145e+00 -1.77867336e+00 ERR 10 3.68157951e+00 -3.77335324e+00 2.70493782e+00 | 3.68157978e+00 -3.77335091e+00 2.70493784e+00 ERR 11 -9.54823794e-01 4.17513936e+00 7.00629695e-01 | -9.54823860e-01 4.17514129e+00 7.00629716e-01 ERR 12 -1.40739457e+00 9.00003447e-01 -1.62689402e+00 | -1.40739460e+00 9.00001074e-01 -1.62689420e+00 ERR 13 -1.31936114e+00 -1.30178957e+00 -1.77867349e+00 | -1.31936132e+00 -1.30179145e+00 -1.77867336e+00 ERR 14 3.68157951e+00 -3.77335324e+00 2.70493782e+00 | 3.68157978e+00 -3.77335091e+00 2.70493784e+00 ERR 15 -9.54823794e-01 4.17513936e+00 7.00629695e-01 | -9.54823860e-01 4.17514129e+00 7.00629716e-01 ERR ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = O Ti, PBC = TFF (Configuration in file "config-OTi-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)) = -28.092150548770114 2^p V(r_1,...,r_N) = -28.092150548770174 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 2.41767259e-01 1.16030702e+00 5.55496833e+00 | 2.41767259e-01 1.16030702e+00 5.55496832e+00 1 -1.42546832e-01 -2.29237906e+00 5.55526533e+00 | -1.42546832e-01 -2.29237906e+00 5.55526533e+00 2 3.29359230e+00 -7.66234731e+00 -4.44899503e+00 | 3.29359230e+00 -7.66234731e+00 -4.44899503e+00 3 -3.39281273e+00 8.79441934e+00 -6.66123862e+00 | -3.39281273e+00 8.79441934e+00 -6.66123863e+00 4 2.41767259e-01 1.16030702e+00 5.55496833e+00 | 2.41767259e-01 1.16030702e+00 5.55496832e+00 5 -1.42546832e-01 -2.29237906e+00 5.55526533e+00 | -1.42546832e-01 -2.29237906e+00 5.55526533e+00 6 3.29359230e+00 -7.66234731e+00 -4.44899503e+00 | 3.29359230e+00 -7.66234731e+00 -4.44899503e+00 7 -3.39281273e+00 8.79441934e+00 -6.66123862e+00 | -3.39281273e+00 8.79441934e+00 -6.66123863e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = O Ti, PBC = FTT (Configuration in file "config-OTi-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)) = -107.45032350485926 2^p V(r_1,...,r_N) = -107.45032350485883 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 3.36172149e+00 4.18805381e-02 6.77685859e-02 | 3.36172149e+00 4.18805378e-02 6.77685860e-02 1 3.64921670e+00 -9.73775102e+00 -1.60956747e+01 | 3.64921670e+00 -9.73775102e+00 -1.60956747e+01 2 7.55256380e+00 1.29056758e+01 8.19248816e+00 | 7.55256380e+00 1.29056758e+01 8.19248816e+00 3 -1.45635020e+01 -3.20980527e+00 7.83541796e+00 | -1.45635020e+01 -3.20980527e+00 7.83541796e+00 4 3.36172149e+00 4.18805381e-02 6.77685859e-02 | 3.36172149e+00 4.18805378e-02 6.77685860e-02 5 3.64921670e+00 -9.73775102e+00 -1.60956747e+01 | 3.64921670e+00 -9.73775102e+00 -1.60956747e+01 6 7.55256380e+00 1.29056758e+01 8.19248816e+00 | 7.55256380e+00 1.29056758e+01 8.19248816e+00 7 -1.45635020e+01 -3.20980527e+00 7.83541796e+00 | -1.45635020e+01 -3.20980527e+00 7.83541796e+00 8 3.36172149e+00 4.18805381e-02 6.77685859e-02 | 3.36172149e+00 4.18805378e-02 6.77685860e-02 9 3.64921670e+00 -9.73775102e+00 -1.60956747e+01 | 3.64921670e+00 -9.73775102e+00 -1.60956747e+01 10 7.55256380e+00 1.29056758e+01 8.19248816e+00 | 7.55256380e+00 1.29056758e+01 8.19248816e+00 11 -1.45635020e+01 -3.20980527e+00 7.83541796e+00 | -1.45635020e+01 -3.20980527e+00 7.83541796e+00 12 3.36172149e+00 4.18805381e-02 6.77685859e-02 | 3.36172149e+00 4.18805378e-02 6.77685860e-02 13 3.64921670e+00 -9.73775102e+00 -1.60956747e+01 | 3.64921670e+00 -9.73775102e+00 -1.60956747e+01 14 7.55256380e+00 1.29056758e+01 8.19248816e+00 | 7.55256380e+00 1.29056758e+01 8.19248816e+00 15 -1.45635020e+01 -3.20980527e+00 7.83541796e+00 | -1.45635020e+01 -3.20980527e+00 7.83541796e+00 ------------------------------------------------------------------------------------------------------------------------ PASS: Energies and forces are the same to within a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = O Ti, PBC = FTF (Configuration in file "config-OTi-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)) = -40.822074568283895 2^p V(r_1,...,r_N) = -40.82207456828389 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 -5.41534754e+00 -9.21698203e+00 2.21606426e+00 | -5.41534754e+00 -9.21698203e+00 2.21606426e+00 1 8.56618714e+00 3.18902687e+01 -2.79773996e+01 | 8.56618714e+00 3.18902687e+01 -2.79773996e+01 2 7.51656315e-02 -2.49427581e+01 2.21926754e+01 | 7.51656351e-02 -2.49427581e+01 2.21926754e+01 ERR 3 -3.22600523e+00 2.26947143e+00 3.56865994e+00 | -3.22600524e+00 2.26947143e+00 3.56865994e+00 4 -5.41534754e+00 -9.21698203e+00 2.21606426e+00 | -5.41534754e+00 -9.21698203e+00 2.21606426e+00 5 8.56618714e+00 3.18902687e+01 -2.79773996e+01 | 8.56618714e+00 3.18902687e+01 -2.79773996e+01 6 7.51656315e-02 -2.49427581e+01 2.21926754e+01 | 7.51656351e-02 -2.49427581e+01 2.21926754e+01 ERR 7 -3.22600523e+00 2.26947143e+00 3.56865994e+00 | -3.22600524e+00 2.26947143e+00 3.56865994e+00 ------------------------------------------------------------------------------------------------------------------------ FAIL: Energies and/or forces differ by more than a relative error of 1e-08 ------------------------------------------------------------------------------------------------------------------------ MIXED STRUCTURE -- Species = O Ti, PBC = FFT (Configuration in file "config-OTi-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)) = -34.733109751605525 2^p V(r_1,...,r_N) = -34.7331097516055 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 -7.55131642e+00 -1.49093555e+00 -8.72680395e+00 | -7.55131642e+00 -1.49093555e+00 -8.72680395e+00 1 -8.21632586e-01 -2.44709252e+00 -2.03354415e+00 | -8.21632586e-01 -2.44709252e+00 -2.03354415e+00 2 9.84966468e+00 2.45443683e+00 5.40122985e+00 | 9.84966468e+00 2.45443684e+00 5.40122985e+00 3 -1.47671567e+00 1.48359123e+00 5.35911825e+00 | -1.47671567e+00 1.48359124e+00 5.35911825e+00 4 -7.55131642e+00 -1.49093555e+00 -8.72680395e+00 | -7.55131642e+00 -1.49093555e+00 -8.72680395e+00 5 -8.21632586e-01 -2.44709252e+00 -2.03354415e+00 | -8.21632586e-01 -2.44709252e+00 -2.03354415e+00 6 9.84966468e+00 2.45443683e+00 5.40122985e+00 | 9.84966468e+00 2.45443684e+00 5.40122985e+00 7 -1.47671567e+00 1.48359123e+00 5.35911825e+00 | -1.47671567e+00 1.48359124e+00 5.35911825e+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: 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.