def test_direct_evaluation(self):
a = FaceCenteredCubic('Au', size=[2,2,2])
a.rattle(0.1)
calc = EAM('Au-Grochola-JCP05.eam.alloy')
a.set_calculator(calc)
f = a.get_forces()
calc2 = EAM('Au-Grochola-JCP05.eam.alloy')
i_n, j_n, dr_nc, abs_dr_n = neighbour_list('ijDd', a, cutoff=calc2.cutoff)
epot, virial, f2 = calc2.energy_virial_and_forces(a.numbers, i_n, j_n, dr_nc, abs_dr_n)
self.assertArrayAlmostEqual(f, f2)
a = FaceCenteredCubic('Cu', size=[2,2,2])
calc = EAM('CuAg.eam.alloy')
a.set_calculator(calc)
FIRE(StrainFilter(a, mask=[1,1,1,0,0,0]), logfile=None).run(fmax=0.001)
e_Cu = a.get_potential_energy()/len(a)
a = FaceCenteredCubic('Ag', size=[2,2,2])
a.set_calculator(calc)
FIRE(StrainFilter(a, mask=[1,1,1,0,0,0]), logfile=None).run(fmax=0.001)
e_Ag = a.get_potential_energy()/len(a)
self.assertTrue(abs(e_Ag+2.85)<1e-6)
a = L1_2(['Ag', 'Cu'], size=[2,2,2], latticeconstant=4.0)
a.set_calculator(calc)
FIRE(UnitCellFilter(a, mask=[1,1,1,0,0,0]), logfile=None).run(fmax=0.001)
e = a.get_potential_energy()
syms = np.array(a.get_chemical_symbols())
self.assertTrue(abs((e-(syms=='Cu').sum()*e_Cu-
(syms=='Ag').sum()*e_Ag)/len(a)-0.096)<0.0005)
a = B1(['Ag', 'Cu'], size=[2,2,2], latticeconstant=4.0)
a.set_calculator(calc)
FIRE(UnitCellFilter(a, mask=[1,1,1,0,0,0]), logfile=None).run(fmax=0.001)
e = a.get_potential_energy()
syms = np.array(a.get_chemical_symbols())
self.assertTrue(abs((e-(syms=='Cu').sum()*e_Cu-
(syms=='Ag').sum()*e_Ag)/len(a)-0.516)<0.0005)
a = B2(['Ag', 'Cu'], size=[2,2,2], latticeconstant=4.0)
a.set_calculator(calc)
FIRE(UnitCellFilter(a, mask=[1,1,1,0,0,0]), logfile=None).run(fmax=0.001)
e = a.get_potential_energy()
syms = np.array(a.get_chemical_symbols())
self.assertTrue(abs((e-(syms=='Cu').sum()*e_Cu-
(syms=='Ag').sum()*e_Ag)/len(a)-0.177)<0.0003)
a = L1_2(['Cu', 'Ag'], size=[2,2,2], latticeconstant=4.0)
a.set_calculator(calc)
FIRE(UnitCellFilter(a, mask=[1,1,1,0,0,0]), logfile=None).run(fmax=0.001)
e = a.get_potential_energy()
syms = np.array(a.get_chemical_symbols())
self.assertTrue(abs((e-(syms=='Cu').sum()*e_Cu-
(syms=='Ag').sum()*e_Ag)/len(a)-0.083)<0.0005)
def test_CuAg(self):
a = FaceCenteredCubic('Cu', size=[2, 2, 2])
calc = EAM('CuAg.eam.alloy')
a.set_calculator(calc)
FIRE(StrainFilter(a, mask=[1, 1, 1, 0, 0, 0]),
logfile=None).run(fmax=0.001)
e_Cu = a.get_potential_energy() / len(a)
a = FaceCenteredCubic('Ag', size=[2, 2, 2])
a.set_calculator(calc)
FIRE(StrainFilter(a, mask=[1, 1, 1, 0, 0, 0]),
logfile=None).run(fmax=0.001)
e_Ag = a.get_potential_energy() / len(a)
self.assertTrue(abs(e_Ag + 2.85) < 1e-6)
a = L1_2(['Ag', 'Cu'], size=[2, 2, 2], latticeconstant=4.0)
a.set_calculator(calc)
FIRE(UnitCellFilter(a, mask=[1, 1, 1, 0, 0, 0]),
logfile=None).run(fmax=0.001)
e = a.get_potential_energy()
syms = np.array(a.get_chemical_symbols())
self.assertTrue(
abs((e - (syms == 'Cu').sum() * e_Cu -
(syms == 'Ag').sum() * e_Ag) / len(a) - 0.096) < 0.0005)
a = B1(['Ag', 'Cu'], size=[2, 2, 2], latticeconstant=4.0)
a.set_calculator(calc)
FIRE(UnitCellFilter(a, mask=[1, 1, 1, 0, 0, 0]),
logfile=None).run(fmax=0.001)
e = a.get_potential_energy()
syms = np.array(a.get_chemical_symbols())
self.assertTrue(
abs((e - (syms == 'Cu').sum() * e_Cu -
(syms == 'Ag').sum() * e_Ag) / len(a) - 0.516) < 0.0005)
a = B2(['Ag', 'Cu'], size=[2, 2, 2], latticeconstant=4.0)
a.set_calculator(calc)
FIRE(UnitCellFilter(a, mask=[1, 1, 1, 0, 0, 0]),
logfile=None).run(fmax=0.001)
e = a.get_potential_energy()
syms = np.array(a.get_chemical_symbols())
self.assertTrue(
abs((e - (syms == 'Cu').sum() * e_Cu -
(syms == 'Ag').sum() * e_Ag) / len(a) - 0.177) < 0.0003)
a = L1_2(['Cu', 'Ag'], size=[2, 2, 2], latticeconstant=4.0)
a.set_calculator(calc)
FIRE(UnitCellFilter(a, mask=[1, 1, 1, 0, 0, 0]),
logfile=None).run(fmax=0.001)
e = a.get_potential_energy()
syms = np.array(a.get_chemical_symbols())
self.assertTrue(
abs((e - (syms == 'Cu').sum() * e_Cu -
(syms == 'Ag').sum() * e_Ag) / len(a) - 0.083) < 0.0005)
def test_hessian_crystalline_alloy(self):
"""Calculate Hessian matrix of crystalline alloy
Reference: finite difference approximation of
Hessian from ASE
"""
calculator = EAM('ZrCu.onecolumn.eam.alloy')
lattice_size = [4, 4, 4]
# The lattice parameters are not correct, but that should be irrelevant
# CuZr3
atoms = L1_2(['Cu', 'Zr'], size=lattice_size, latticeconstant=4.0)
self._test_hessian(atoms, calculator)
# Cu3Zr
atoms = L1_2(['Zr', 'Cu'], size=lattice_size, latticeconstant=4.0)
self._test_hessian(atoms, calculator)
# CuZr
atoms = B2(['Zr', 'Cu'], size=lattice_size, latticeconstant=3.3)
self._test_hessian(atoms, calculator)
def test_CuZr(self):
# This is a test for the potential published in:
# Mendelev, Sordelet, Kramer, J. Appl. Phys. 102, 043501 (2007)
a = FaceCenteredCubic('Cu', size=[2, 2, 2])
calc = EAM('CuZr_mm.eam.fs', kind='eam/fs')
a.set_calculator(calc)
FIRE(StrainFilter(a, mask=[1, 1, 1, 0, 0, 0]),
logfile=None).run(fmax=0.001)
a_Cu = a.cell.diagonal().mean() / 2
#print('a_Cu (3.639) = ', a_Cu)
self.assertAlmostEqual(a_Cu, 3.639, 3)
a = HexagonalClosedPacked('Zr', size=[2, 2, 2])
a.set_calculator(calc)
FIRE(StrainFilter(a, mask=[1, 1, 1, 0, 0, 0]),
logfile=None).run(fmax=0.001)
a, b, c = a.cell / 2
#print('a_Zr (3.220) = ', norm(a), norm(b))
#print('c_Zr (5.215) = ', norm(c))
self.assertAlmostEqual(norm(a), 3.220, 3)
self.assertAlmostEqual(norm(b), 3.220, 3)
self.assertAlmostEqual(norm(c), 5.215, 3)
# CuZr3
a = L1_2(['Cu', 'Zr'], size=[2, 2, 2], latticeconstant=4.0)
a.set_calculator(calc)
FIRE(UnitCellFilter(a, mask=[1, 1, 1, 0, 0, 0]),
logfile=None).run(fmax=0.001)
self.assertAlmostEqual(a.cell.diagonal().mean() / 2, 4.324, 3)
# Cu3Zr
a = L1_2(['Zr', 'Cu'], size=[2, 2, 2], latticeconstant=4.0)
a.set_calculator(calc)
FIRE(UnitCellFilter(a, mask=[1, 1, 1, 0, 0, 0]),
logfile=None).run(fmax=0.001)
self.assertAlmostEqual(a.cell.diagonal().mean() / 2, 3.936, 3)
# CuZr
a = B2(['Zr', 'Cu'], size=[2, 2, 2], latticeconstant=3.3)
a.set_calculator(calc)
FIRE(UnitCellFilter(a, mask=[1, 1, 1, 0, 0, 0]),
logfile=None).run(fmax=0.001)
self.assertAlmostEqual(a.cell.diagonal().mean() / 2, 3.237, 3)
def get_structure(self, name, elements, a=None, c=None, l=None):
# Check number of elements
if name[:3] in ['fcc', 'hcp']:
if len(elements) != 1:
raise ValueError("Tuple of elements must be of length one")
if name[:3] in ['l12', 'l10'] or name[:2] == 'B2':
if len(elements) != 2:
raise ValueError("Tuple of elements must be of length two")
# Get lattice constants
if a is None:
if name[:2] == 'B2':
a = self.get_lattice_constant_a(name[:2], elements)
elif name[:3] in ['fcc', 'hcp', 'bcc', 'l12', 'l10']:
a = self.get_lattice_constant_a(name[:3], elements)
if c is None:
if name[:3] in ['hcp', 'l10']:
c = self.get_lattice_constant_c(name[:3], elements)
# Get size
if name in ['fcc', 'hcp', 'bcc', 'l12', 'l10', 'B2']:
size = self.properties[name + '_size']
elif name in ['fcc100', 'fcc111', 'hcp0001']:
size = self.properties[name + '_size'][:2] + (l, )
# Make structure
if name == 'fcc':
atoms = FaceCenteredCubic(symbol=elements[0],
size=size,
latticeconstant=a)
elif name == 'hcp':
atoms = HexagonalClosedPacked(symbol=elements[0],
size=size,
directions=[[2, -1, -1, 0],
[0, 1, -1, 0],
[0, 0, 0, 1]],
latticeconstant=(a, c))
elif name == 'bcc':
atoms = BodyCenteredCubic(symbol=elements[0],
size=size,
latticeconstant=a)
elif name == 'B2':
atoms = B2(symbol=elements, size=size, latticeconstant=a)
elif name == 'l12':
atoms = L1_2(symbol=elements, size=size, latticeconstant=a)
elif name == 'l10':
atoms = L1_0(symbol=elements, size=size, latticeconstant=(a, c))
elif name == 'fcc100':
atoms = fcc100(symbol=elements[0], size=size, a=a, vacuum=10.0)
elif name == 'fcc111':
atoms = fcc111(symbol=elements[0],
size=size,
a=a,
vacuum=10.0,
orthogonal=True)
elif name == 'hcp0001':
atoms = hcp0001(symbol=elements[0],
size=size,
a=a,
c=c,
vacuum=10.0,
orthogonal=True)
elif name == 'hcp1010A':
raise ValueError("Structure '%s' not supported" % (name, ))
atoms = None
elif name == 'hcp1010B':
raise ValueError("Structure '%s' not supported" % (name, ))
atoms = None
elif name == 'l12100':
n = (l + 1) / 2
atoms = L1_2(symbol=elements, size=(8, 8, n), latticeconstant=a)
atoms.set_pbc([True, True, False])
# Remove layers
atoms = atoms[atoms.get_positions()[:, 2] > 0.1 * a]
# Set vacuum
atoms.center(axis=2, vacuum=10.0)
elif name == 'l12111':
if l % 3 == 0:
n = l / 3
c = 0
else:
n = l / 3 + 1
c = 3 - l % 3
atoms = L1_2(
symbol=elements,
size=(8, 4, n),
#directions=[[1,-1,0],[1,0,-1],[1,1,1]], latticeconstant=a)
directions=[[1, -1, 0], [1, 1, -2], [1, 1, 1]],
latticeconstant=a)
atoms.set_pbc([True, True, False])
# Wrap positions
scpos = atoms.get_scaled_positions()
scpos[scpos > (1.0 - 1e-12)] = 0.0
atoms.set_scaled_positions(scpos)
# Remove layers
if c > 0:
atoms = atoms[atoms.get_positions()[:, 2] > (c - 0.5) * a /
np.sqrt(3.0)]
# Set vacuum
atoms.center(axis=2, vacuum=10.0)
else:
raise ValueError("Structure '%s' not supported" % (name, ))
return atoms
dict(name="dia-C",
struct=Diamond("C", size=[sx, sx, sx]),
Ec=7.376 - 0.0524,
a0=3.558,
C11=621,
C12=415,
C44=383,
B=484),
dict(name='B1-W-C',
struct=B1(['W', 'C'], latticeconstant=4.38, size=[sx, sx,
sx]),
Ec=(16.68 - 0.98) / 2,
a0=4.380,
B=433),
dict(name='B2-W-C',
struct=B2(['W', 'C'], latticeconstant=2.7, size=[sx, sx, sx]),
Ec=(16.68 - 2.32) / 2,
a0=2.704,
B=411),
dict(name='B3-W-C',
struct=B3(['W', 'C'], latticeconstant=4.6, size=[sx, sx, sx]),
Ec=(16.68 - 2.12) / 2,
a0=4.679,
B=511),
]),
(Kumagai, Kumagai_CompMaterSci_39_457_Si, [
dict(name="dia-Si",
struct=Diamond("Si", size=[sx, sx, sx]),
Ec=4.630,
a0=5.429,
C11=166.4,