Source code for hiphive.force_constant_potential

This module introduces the ForceConstantPotential object which acts as the
finalized force constant model.

import pickle
import numpy as np
from collections import Counter

from .force_constant_model import ForceConstantModel
from .core.orbit import Orbit
from .core.orientation_family import OrientationFamily
from .core.tensors import rotation_to_cart_coord, rotate_tensor

# TODO: Docstring
# TODO: Fix the relation with cluster space
[docs]class ForceConstantPotential: """ A finalized force constant model. Can produce force constants for any structure compatible with the structure for which the model was set up. Parameters ---------- cs : ClusterSpace object The cluster space the model is based upon parameters : array The fitted paramteres """ def __init__(self, cs, parameters): self._prim = cs.primitive_structure.copy() self.cluster_list = cs.cluster_list.copy() self.atom_list = cs.atom_list.copy() self.orbits = [] self.spacegroup = cs.spacegroup # Extract the eigentensors from the cluster space and use the paramters # to construct the finalized force constants parameters = cs._map_parameters(parameters) p = 0 for orb in cs.orbits: new_orbit = Orbit() fc = np.zeros(orb.eigentensors[0].shape) for et, a in zip(orb.eigentensors, parameters[p:]): fc += et * a new_orbit.force_constant = fc new_orbit.order = orb.order new_orbit.radius = orb.radius new_orbit.maximum_distance = orb.maximum_distance for of in orb.orientation_families: new_of = OrientationFamily() new_of.cluster_indices = of.cluster_indices.copy() sym_ind = of.symmetry_index R = rotation_to_cart_coord(cs.rotation_matrices[sym_ind], self.primitive_structure.cell) fc = rotate_tensor(new_orbit.force_constant, R.T) perm = cs.permutations[of.permutation_indices[0]] new_of.force_constant = fc.transpose(perm) new_orbit.orientation_families.append(new_of) self.orbits.append(new_orbit) p += len(orb.eigentensors) @staticmethod
[docs] def read(f): """Load a ForceConstantPotential object from a pickle file. Parameters ---------- f : str or file object name of input file (str) or stream to load from (file object) Returns ------- ForceConstantPotential object the original object as stored in the file """ if isinstance(f, str): return pickle.load(open(f, 'rb')) else: try: return pickle.load(f) except Exception: raise Exception('Failed loading from file.')
[docs] def write(self, f): """Write a ForceConstantPotential instance to a pickle file. Parameters ---------- f : str or file object name of input file (str) or stream to write to (file object) """ if isinstance(f, str): pickle.dump(self, open(f, 'wb')) else: try: pickle.dump(self, f) except Exception: raise Exception('Failed writing to file.')
@property def primitive_structure(self): """ ASE Atoms object : structure of the lattice """ return self._prim.copy() @property def orbit_data(self): """ list : list of dictionaries containing detailed information for each orbit, e.g. cluster radius and force constant """ data = [] for orbit_index, orbit in enumerate(self.orbits): d = {} d['index'] = orbit_index d['order'] = orbit.order d['radius'] = orbit.radius d['maximum_distance'] = orbit.maximum_distance d['number_of_clusters'] = len(orbit.orientation_families) types = [] for atom_ind in self.cluster_list[orbit.prototype_index]: types.append(self.primitive_structure.numbers[ self.atom_list[atom_ind].site]) d['prototype_cluster'] = self.cluster_list[orbit.prototype_index] d['prototype_atom_types'] = types d['geometrical_order'] = len(set(d['prototype_cluster'])) d['force_constant'] = orbit.force_constant d['force_constant_norm'] = np.linalg.norm(orbit.force_constant) data.append(d) return data
[docs] def get_force_constants(self, atoms): """ Return the force constants of a compatible structure. Parameters ---------- atoms : ASE Atoms object input structure Returns ------- ForceConstants object """ return ForceConstantModel(atoms, self).get_force_constants()
def __str__(self): orbits = self.orbit_data orbit_counts = Counter([orbit['order'] for orbit in orbits]) cluster_counts = Counter() for orbit in orbits: cluster_counts[orbit['order']] += orbit['number_of_clusters'] n = 54 s = [] s.append(' ForceConstantPotential '.center(n, '=')) s.append('Spacegroup {}'.format(self.spacegroup)) s.append('Cell:\n{}'.format(self.primitive_structure.cell)) s.append('Basis:\n{}'.format(self.primitive_structure.basis)) s.append('Numbers: {}'.format(self.primitive_structure.numbers)) for order in sorted(orbit_counts.keys()): s.append('Order {}, #orbits {}, #cluster {}'.format( order, orbit_counts[order], cluster_counts[order])) s.append('Total number of orbits: {} '.format(len(orbits))) s.append('total number of clusters: {} ' .format(sum(cluster_counts.values()))) s.append(''.center(n, '=')) return '\n'.join(s) def __repr__(self): return 'ForceConstantPotential(ClusterSpace({!r}, ...), [...])'.format( self.primitive_structure)