def _calculate_integrals(molecule, basis='sto3g', hf_method='rhf', tol=1e-8, maxiters=100):
"""Function to calculate the one and two electron terms. Perform a Hartree-Fock calculation in
the given basis.
Args:
molecule : A pyquante2 molecular object.
basis : The basis set for the electronic structure computation
hf_method: rhf, uhf, rohf
Returns:
QMolecule: QMolecule populated with driver integrals etc
"""
bfs = basisset(molecule, basis)
integrals = onee_integrals(bfs, molecule)
hij = integrals.T + integrals.V
hijkl = twoe_integrals(bfs)
# convert overlap integrals to molecular basis
# calculate the Hartree-Fock solution of the molecule
if hf_method == 'rhf':
solver = rhf(molecule, bfs)
elif hf_method == 'rohf':
solver = rohf(molecule, bfs)
elif hf_method == 'uhf':
solver = uhf(molecule, bfs)
else:
raise QiskitChemistryError('Invalid hf_method type: {}'.format(hf_method))
ehf = solver.converge(tol=tol, maxiters=maxiters)
logger.debug('PyQuante2 processing information:\n{}'.format(solver))
if hasattr(solver, 'orbs'):
orbs = solver.orbs
orbs_B = None
else:
orbs = solver.orbsa
orbs_B = solver.orbsb
norbs = len(orbs)
if hasattr(solver, 'orbe'):
orbs_energy = solver.orbe
orbs_energy_B = None
else:
orbs_energy = solver.orbea
orbs_energy_B = solver.orbeb
enuke = molecule.nuclear_repulsion()
# Get ints in molecular orbital basis
mohij = simx(hij, orbs)
mohij_B = None
if orbs_B is not None:
mohij_B = simx(hij, orbs_B)
eri = hijkl.transform(np.identity(norbs))
mohijkl = hijkl.transform(orbs)
mohijkl_BB = None
mohijkl_BA = None
if orbs_B is not None:
mohijkl_BB = hijkl.transform(orbs_B)
mohijkl_BA = np.einsum('aI,bJ,cK,dL,abcd->IJKL', orbs_B, orbs_B, orbs, orbs, hijkl[...])
# Create driver level molecule object and populate
_q_ = QMolecule()
_q_.origin_driver_version = '?' # No version info seems available to access
# Energies and orbits
_q_.hf_energy = ehf[0]
_q_.nuclear_repulsion_energy = enuke
_q_.num_orbitals = norbs
_q_.num_alpha = molecule.nup()
_q_.num_beta = molecule.ndown()
_q_.mo_coeff = orbs
_q_.mo_coeff_B = orbs_B
_q_.orbital_energies = orbs_energy
_q_.orbital_energies_B = orbs_energy_B
# Molecule geometry
_q_.molecular_charge = molecule.charge
_q_.multiplicity = molecule.multiplicity
_q_.num_atoms = len(molecule)
_q_.atom_symbol = []
_q_.atom_xyz = np.empty([len(molecule), 3])
atoms = molecule.atoms
for _n in range(0, _q_.num_atoms):
atuple = atoms[_n].atuple()
_q_.atom_symbol.append(QMolecule.symbols[atuple[0]])
_q_.atom_xyz[_n][0] = atuple[1]
_q_.atom_xyz[_n][1] = atuple[2]
_q_.atom_xyz[_n][2] = atuple[3]
# 1 and 2 electron integrals
_q_.hcore = hij
_q_.hcore_B = None
_q_.kinetic = integrals.T
_q_.overlap = integrals.S
_q_.eri = eri
_q_.mo_onee_ints = mohij
_q_.mo_onee_ints_B = mohij_B
_q_.mo_eri_ints = mohijkl
_q_.mo_eri_ints_BB = mohijkl_BB
_q_.mo_eri_ints_BA = mohijkl_BA
return _q_
def _calculate_integrals(mol,
hf_method='rhf',
conv_tol=1e-9,
max_cycle=50,
init_guess='minao'):
"""Function to calculate the one and two electron terms. Perform a Hartree-Fock calculation in
the given basis.
Args:
mol (gto.Mole) : A PySCF gto.Mole object.
hf_method (str): rhf, uhf, rohf
conv_tol (float): Convergence tolerance
max_cycle (int): Max convergence cycles
init_guess (str): Initial guess for SCF
Returns:
QMolecule: QMolecule populated with driver integrals etc
"""
enuke = gto.mole.energy_nuc(mol)
if hf_method == 'rhf':
mf = scf.RHF(mol)
elif hf_method == 'rohf':
mf = scf.ROHF(mol)
elif hf_method == 'uhf':
mf = scf.UHF(mol)
else:
raise QiskitChemistryError(
'Invalid hf_method type: {}'.format(hf_method))
mf.conv_tol = conv_tol
mf.max_cycle = max_cycle
mf.init_guess = init_guess
ehf = mf.kernel()
logger.info('PySCF kernel() converged: {}, e(hf): {}'.format(
mf.converged, mf.e_tot))
if type(mf.mo_coeff) is tuple:
mo_coeff = mf.mo_coeff[0]
mo_coeff_B = mf.mo_coeff[1]
# mo_occ = mf.mo_occ[0]
# mo_occ_B = mf.mo_occ[1]
else:
# With PySCF 1.6.2, instead of a tuple of 2 dimensional arrays, its a 3 dimensional
# array with the first dimension indexing to the coeff arrays for alpha and beta
if len(mf.mo_coeff.shape) > 2:
mo_coeff = mf.mo_coeff[0]
mo_coeff_B = mf.mo_coeff[1]
# mo_occ = mf.mo_occ[0]
# mo_occ_B = mf.mo_occ[1]
else:
mo_coeff = mf.mo_coeff
mo_coeff_B = None
# mo_occ = mf.mo_occ
# mo_occ_B = None
norbs = mo_coeff.shape[0]
if type(mf.mo_energy) is tuple:
orbs_energy = mf.mo_energy[0]
orbs_energy_B = mf.mo_energy[1]
else:
# See PYSCF 1.6.2 comment above - this was similarly changed
if len(mf.mo_energy.shape) > 1:
orbs_energy = mf.mo_energy[0]
orbs_energy_B = mf.mo_energy[1]
else:
orbs_energy = mf.mo_energy
orbs_energy_B = None
if logger.isEnabledFor(logging.DEBUG):
# Add some more to PySCF output...
# First analyze() which prints extra information about MO energy and occupation
mol.stdout.write('\n')
mf.analyze()
# Now labelled orbitals for contributions to the MOs for s,p,d etc of each atom
mol.stdout.write('\n\n--- Alpha Molecular Orbitals ---\n\n')
dump_mat.dump_mo(mol, mo_coeff, digits=7, start=1)
if mo_coeff_B is not None:
mol.stdout.write('\n--- Beta Molecular Orbitals ---\n\n')
dump_mat.dump_mo(mol, mo_coeff_B, digits=7, start=1)
mol.stdout.flush()
hij = mf.get_hcore()
mohij = np.dot(np.dot(mo_coeff.T, hij), mo_coeff)
mohij_B = None
if mo_coeff_B is not None:
mohij_B = np.dot(np.dot(mo_coeff_B.T, hij), mo_coeff_B)
eri = mol.intor('int2e', aosym=1)
mo_eri = ao2mo.incore.full(mf._eri, mo_coeff, compact=False)
mohijkl = mo_eri.reshape(norbs, norbs, norbs, norbs)
mohijkl_BB = None
mohijkl_BA = None
if mo_coeff_B is not None:
mo_eri_B = ao2mo.incore.full(mf._eri, mo_coeff_B, compact=False)
mohijkl_BB = mo_eri_B.reshape(norbs, norbs, norbs, norbs)
mo_eri_BA = ao2mo.incore.general(
mf._eri, (mo_coeff_B, mo_coeff_B, mo_coeff, mo_coeff),
compact=False)
mohijkl_BA = mo_eri_BA.reshape(norbs, norbs, norbs, norbs)
# dipole integrals
mol.set_common_orig((0, 0, 0))
ao_dip = mol.intor_symmetric('int1e_r', comp=3)
x_dip_ints = ao_dip[0]
y_dip_ints = ao_dip[1]
z_dip_ints = ao_dip[2]
dm = mf.make_rdm1(mf.mo_coeff, mf.mo_occ)
if hf_method == 'rohf' or hf_method == 'uhf':
dm = dm[0]
elec_dip = np.negative(np.einsum('xij,ji->x', ao_dip, dm).real)
elec_dip = np.round(elec_dip, decimals=8)
nucl_dip = np.einsum('i,ix->x', mol.atom_charges(), mol.atom_coords())
nucl_dip = np.round(nucl_dip, decimals=8)
logger.info("HF Electronic dipole moment: {}".format(elec_dip))
logger.info("Nuclear dipole moment: {}".format(nucl_dip))
logger.info("Total dipole moment: {}".format(nucl_dip + elec_dip))
# Create driver level molecule object and populate
_q_ = QMolecule()
_q_.origin_driver_version = pyscf_version
# Energies and orbits
_q_.hf_energy = ehf
_q_.nuclear_repulsion_energy = enuke
_q_.num_orbitals = norbs
_q_.num_alpha = mol.nelec[0]
_q_.num_beta = mol.nelec[1]
_q_.mo_coeff = mo_coeff
_q_.mo_coeff_B = mo_coeff_B
_q_.orbital_energies = orbs_energy
_q_.orbital_energies_B = orbs_energy_B
# Molecule geometry
_q_.molecular_charge = mol.charge
_q_.multiplicity = mol.spin + 1
_q_.num_atoms = mol.natm
_q_.atom_symbol = []
_q_.atom_xyz = np.empty([mol.natm, 3])
atoms = mol.atom_coords()
for _n in range(0, _q_.num_atoms):
xyz = mol.atom_coord(_n)
_q_.atom_symbol.append(mol.atom_pure_symbol(_n))
_q_.atom_xyz[_n][0] = xyz[0]
_q_.atom_xyz[_n][1] = xyz[1]
_q_.atom_xyz[_n][2] = xyz[2]
# 1 and 2 electron integrals AO and MO
_q_.hcore = hij
_q_.hcore_B = None
_q_.kinetic = mol.intor_symmetric('int1e_kin')
_q_.overlap = mf.get_ovlp()
_q_.eri = eri
_q_.mo_onee_ints = mohij
_q_.mo_onee_ints_B = mohij_B
_q_.mo_eri_ints = mohijkl
_q_.mo_eri_ints_BB = mohijkl_BB
_q_.mo_eri_ints_BA = mohijkl_BA
# dipole integrals AO and MO
_q_.x_dip_ints = x_dip_ints
_q_.y_dip_ints = y_dip_ints
_q_.z_dip_ints = z_dip_ints
_q_.x_dip_mo_ints = QMolecule.oneeints2mo(x_dip_ints, mo_coeff)
_q_.x_dip_mo_ints_B = None
_q_.y_dip_mo_ints = QMolecule.oneeints2mo(y_dip_ints, mo_coeff)
_q_.y_dip_mo_ints_B = None
_q_.z_dip_mo_ints = QMolecule.oneeints2mo(z_dip_ints, mo_coeff)
_q_.z_dip_mo_ints_B = None
if mo_coeff_B is not None:
_q_.x_dip_mo_ints_B = QMolecule.oneeints2mo(x_dip_ints, mo_coeff_B)
_q_.y_dip_mo_ints_B = QMolecule.oneeints2mo(y_dip_ints, mo_coeff_B)
_q_.z_dip_mo_ints_B = QMolecule.oneeints2mo(z_dip_ints, mo_coeff_B)
# dipole moment
_q_.nuclear_dipole_moment = nucl_dip
_q_.reverse_dipole_sign = True
return _q_
def _parse_matrix_file(self, fname, useAO2E=False):
# get_driver_class is used here because the discovery routine will load all the gaussian
# binary dependencies, if not loaded already. It won't work without it.
try:
# add gauopen to sys.path so that binaries can be loaded
gauopen_directory = os.path.join(os.path.dirname(os.path.realpath(__file__)), 'gauopen')
if gauopen_directory not in sys.path:
sys.path.insert(0, gauopen_directory)
from .gauopen.QCMatEl import MatEl
except ImportError as mnfe:
msg = 'qcmatrixio extension not found. See Gaussian driver readme to build qcmatrixio.F using f2py' \
if mnfe.name == 'qcmatrixio' else str(mnfe)
logger.info(msg)
raise QiskitChemistryError(msg)
mel = MatEl(file=fname)
logger.debug('MatrixElement file:\n{}'.format(mel))
# Create driver level molecule object and populate
_q_ = QMolecule()
_q_.origin_driver_version = mel.gversion
# Energies and orbits
_q_.hf_energy = mel.scalar('ETOTAL')
_q_.nuclear_repulsion_energy = mel.scalar('ENUCREP')
_q_.num_orbitals = 0 # updated below from orbital coeffs size
_q_.num_alpha = (mel.ne + mel.multip - 1) // 2
_q_.num_beta = (mel.ne - mel.multip + 1) // 2
moc = self._get_matrix(mel, 'ALPHA MO COEFFICIENTS')
moc_B = self._get_matrix(mel, 'BETA MO COEFFICIENTS')
if np.array_equal(moc, moc_B):
logger.debug('ALPHA and BETA MO COEFFS identical, keeping only ALPHA')
moc_B = None
_q_.num_orbitals = moc.shape[0]
_q_.mo_coeff = moc
_q_.mo_coeff_B = moc_B
orbs_energy = self._get_matrix(mel, 'ALPHA ORBITAL ENERGIES')
_q_.orbital_energies = orbs_energy
orbs_energy_B = self._get_matrix(mel, 'BETA ORBITAL ENERGIES')
_q_.orbital_energies_B = orbs_energy_B if moc_B is not None else None
# Molecule geometry
_q_.molecular_charge = mel.icharg
_q_.multiplicity = mel.multip
_q_.num_atoms = mel.natoms
_q_.atom_symbol = []
_q_.atom_xyz = np.empty([mel.natoms, 3])
syms = mel.ian
xyz = np.reshape(mel.c, (_q_.num_atoms, 3))
for _n in range(0, _q_.num_atoms):
_q_.atom_symbol.append(QMolecule.symbols[syms[_n]])
for _i in range(xyz.shape[1]):
coord = xyz[_n][_i]
if abs(coord) < 1e-10:
coord = 0
_q_.atom_xyz[_n][_i] = coord
# 1 and 2 electron integrals
hcore = self._get_matrix(mel, 'CORE HAMILTONIAN ALPHA')
logger.debug('CORE HAMILTONIAN ALPHA {}'.format(hcore.shape))
hcore_B = self._get_matrix(mel, 'CORE HAMILTONIAN BETA')
if np.array_equal(hcore, hcore_B):
# From Gaussian interfacing documentation: "The two core Hamiltonians are identical unless
# a Fermi contact perturbation has been applied."
logger.debug('CORE HAMILTONIAN ALPHA and BETA identical, keeping only ALPHA')
hcore_B = None
logger.debug('CORE HAMILTONIAN BETA {}'.format('- Not present' if hcore_B is None else hcore_B.shape))
kinetic = self._get_matrix(mel, 'KINETIC ENERGY')
logger.debug('KINETIC ENERGY {}'.format(kinetic.shape))
overlap = self._get_matrix(mel, 'OVERLAP')
logger.debug('OVERLAP {}'.format(overlap.shape))
mohij = QMolecule.oneeints2mo(hcore, moc)
mohij_B = None
if moc_B is not None:
mohij_B = QMolecule.oneeints2mo(hcore if hcore_B is None else hcore_B, moc_B)
eri = self._get_matrix(mel, 'REGULAR 2E INTEGRALS')
logger.debug('REGULAR 2E INTEGRALS {}'.format(eri.shape))
if moc_B is None and mel.matlist.get('BB MO 2E INTEGRALS') is not None:
# It seems that when using ROHF, where alpha and beta coeffs are the same, that integrals
# for BB and BA are included in the output, as well as just AA that would have been expected
# Using these fails to give the right answer (is ok for UHF). So in this case we revert to
# using 2 electron ints in atomic basis from the output and converting them ourselves.
useAO2E = True
logger.info('Identical A and B coeffs but BB ints are present - using regular 2E ints instead')
if useAO2E:
# eri are 2-body in AO. We can convert to MO via the QMolecule
# method but using ints in MO already, as in the else here, is better
mohijkl = QMolecule.twoeints2mo(eri, moc)
mohijkl_BB = None
mohijkl_BA = None
if moc_B is not None:
mohijkl_BB = QMolecule.twoeints2mo(eri, moc_B)
mohijkl_BA = QMolecule.twoeints2mo_general(eri, moc_B, moc_B, moc, moc)
else:
# These are in MO basis but by default will be reduced in size by
# frozen core default so to use them we need to add Window=Full
# above when we augment the config
mohijkl = self._get_matrix(mel, 'AA MO 2E INTEGRALS')
logger.debug('AA MO 2E INTEGRALS {}'.format(mohijkl.shape))
mohijkl_BB = self._get_matrix(mel, 'BB MO 2E INTEGRALS')
logger.debug('BB MO 2E INTEGRALS {}'.format('- Not present' if mohijkl_BB is None else mohijkl_BB.shape))
mohijkl_BA = self._get_matrix(mel, 'BA MO 2E INTEGRALS')
logger.debug('BA MO 2E INTEGRALS {}'.format('- Not present' if mohijkl_BA is None else mohijkl_BA.shape))
_q_.hcore = hcore
_q_.hcore_B = hcore_B
_q_.kinetic = kinetic
_q_.overlap = overlap
_q_.eri = eri
_q_.mo_onee_ints = mohij
_q_.mo_onee_ints_B = mohij_B
_q_.mo_eri_ints = mohijkl
_q_.mo_eri_ints_BB = mohijkl_BB
_q_.mo_eri_ints_BA = mohijkl_BA
# dipole moment
dipints = self._get_matrix(mel, 'DIPOLE INTEGRALS')
dipints = np.einsum('ijk->kji', dipints)
_q_.x_dip_ints = dipints[0]
_q_.y_dip_ints = dipints[1]
_q_.z_dip_ints = dipints[2]
_q_.x_dip_mo_ints = QMolecule.oneeints2mo(dipints[0], moc)
_q_.x_dip_mo_ints_B = None
_q_.y_dip_mo_ints = QMolecule.oneeints2mo(dipints[1], moc)
_q_.y_dip_mo_ints_B = None
_q_.z_dip_mo_ints = QMolecule.oneeints2mo(dipints[2], moc)
_q_.z_dip_mo_ints_B = None
if moc_B is not None:
_q_.x_dip_mo_ints_B = QMolecule.oneeints2mo(dipints[0], moc_B)
_q_.y_dip_mo_ints_B = QMolecule.oneeints2mo(dipints[1], moc_B)
_q_.z_dip_mo_ints_B = QMolecule.oneeints2mo(dipints[2], moc_B)
nucl_dip = np.einsum('i,ix->x', syms, xyz)
nucl_dip = np.round(nucl_dip, decimals=8)
_q_.nuclear_dipole_moment = nucl_dip
_q_.reverse_dipole_sign = True
return _q_