Source code for

""" module

This module contains tools for [TODO]

import numpy as np

from typing import Optional, List, Union, Tuple
from pymatgen.core import Structure, Site

[docs]def get_nearest_neighbour_indices( structure: Structure, ref_structure: Structure, vertex_species: List[str], n_coord: int) -> List[List[int]]: """ Returns the atom indices for the N nearest neighbours to each site in a reference structure. Args: structure (`pymatgen.Structure`): A pymatgen Structure object, used to select the nearest neighbour indices. ref_structure (`pymatgen.Structure`): A pymatgen Structure object. Each site is used to find the set of N nearest neighbours (of the specified atomic species) in ``structure``. vertex_species (list(str)): List of strings specifying the atomic species of the vertex atoms, e.g. ``[ 'S', 'I' ]``. n_coord (int): Number of matching nearest neighbours to return for each site in ``ref_structure``. Returns: (list(list(int)): N_sites x N_neighbours nested list of vertex atom indices. """ vertex_indices = [i for i, s in enumerate(structure) if s.species_string in vertex_species] struc1_coords = np.array([structure[i].frac_coords for i in vertex_indices]) struc2_coords = ref_structure.frac_coords lattice = structure[0].lattice dr_ij = lattice.get_all_distances(struc1_coords, struc2_coords).T nn_indices = [] for dr_i in dr_ij: idx = np.argpartition(dr_i, n_coord) nn_indices.append( sorted([ vertex_indices[i] for i in idx[:n_coord] ]) ) return nn_indices
[docs]def get_vertex_indices( structure: Structure, centre_species: str, vertex_species: Union[str, List[str]], cutoff: float=4.5, n_vertices: Union[int, List[int]]=6) -> List[List[int]]: """ Find the atom indices for atoms defining the vertices of coordination polyhedra, from a pymatgen Structure object. Given the elemental species of a set of central atoms, A, and of the polyhedral vertices, B, this function finds: for each A, then N closest neighbours B (within some cutoff). The number of neighbours found per central atom can be a single value for all A, or can be provided as a list of values for each A. Args: structure (`pymatgen.Structure`): A pymatgen Structure object, used to find the coordination polyhedra vertices.. centre_species (str): Species string identifying the atoms at the centres of each coordination environment, e.g. "Na". vertex_species (str or list(str)): Species string identifying the atoms at the vertices of each coordination environment, e.g. "S"., or a list of strings, e.g. ``["S", "I"]``. cutoff (float): Distance cutoff for neighbour search. n_vertices (int or list(int)): Number(s) of nearest neighbours to return for each set of vertices. If a list is passed, this should be the same length as the number of atoms of centre species A. Returns: list(list(int)): Nested list of integers, giving the atom indices for each coordination environment. """ central_sites = [ s for s in structure if s.species_string == centre_species ] if isinstance(n_vertices, int): n_vertices = [n_vertices] * len(central_sites) if isinstance(vertex_species, str): vertex_species = [ vertex_species ] vertex_indices = [] for site, n_vert in zip(central_sites, n_vertices): neighbours = [ s for s in structure.get_neighbors(site, r=cutoff, include_index=True) if s[0].species_string in vertex_species ] neighbours.sort(key=lambda x: x[1]) atom_indices = [ n[2] for n in neighbours[:n_vert] ] vertex_indices.append( atom_indices ) return vertex_indices
[docs]def x_pbc(x: np.ndarray): """Return an array of fractional coordinates mapped into all positive neighbouring periodic cells. Args: x (np.array): Input fractional coordinates. Returns: np.array: (9,3) numpy array of all mapped fractional coordinates, including the original coordinates in the origin calculation cell. Example: >>> x = np.array([0.1, 0.2, 0.3]) >>> x_pbc(x) array([[0.1, 0.2, 0.3], [1.1, 0.2, 0.3], [0.1, 1.2, 0.3], [0.1, 0.2, 1.3], [1.1, 1.2, 0.3], [1.1, 0.2, 1.3], [0.1, 1.2, 1.3], [1.1, 1.2, 1.3]]) """ all_x = np.array([[0,0,0], [1,0,0], [0,1,0], [0,0,1], [1,1,0], [1,0,1], [0,1,1], [1,1,1]]) + x return all_x
[docs]def species_string_from_site(site: Site): return [k.__str__() for k in site._species.keys()][0]
[docs]def site_index_mapping(structure1: Structure, structure2: Structure, species1: Optional[Union[str, List[str]]] = None, species2: Optional[Union[str, List[str]]] = None, one_to_one_mapping: Optional[bool] = True, return_mapping_distances: Optional[bool] = False) -> Union[np.ndarray, Tuple[np.ndarray, np.ndarray]]: """Compute the site index mapping between two structures based on the closest corresponding site in structure2 to each selected site in structure1. Args: structure1 (pymatgen.Structure): The structure to map from. structure2 (pymatgen.Structure): The structure to map to. species1 (optional, str or list(str)): Optional argument to select a subset of atomic species to map site indices from. species2 (optional, str of list(str)): Optional argument to specify a subset of atomic species to map site indices to. one_to_one_mapping (optional, bool): Optional argument to check that a one-to-one mapping is found between the relevant subsets of sites in structure1 and structure2. Default is `True`. Returns: np.ndarray Raises: ValueError: if `one_to_one_mapping = True` and a one-to-one mapping is not found. """ # Ensure species1 and species2 are lists of site species strings. if species1 is None: species1 = list(set([site.species_string for site in structure1])) if isinstance(species1, str): species1 = [species1] if isinstance(species2, str): species2 = [species2] if species2 is None: species2 = list(set([site.species_string for site in structure2])) assert(isinstance(species1, list)) assert(isinstance(species2, list)) structure2_mask = np.array([site.species_string in species2 for site in structure2]) lattice = structure1.lattice dr_ij = np.array(lattice.get_all_distances(structure1.frac_coords, structure2.frac_coords)) to_return = [] dr_ij_to_return = [] for site1, dr_i in zip(structure1, dr_ij): if site1.species_string in species1: subset_idx = np.argmin(dr_i[structure2_mask]) parent_idx = np.arange(len(dr_i))[structure2_mask][subset_idx] to_return.append(parent_idx) dr_ij_to_return.append(dr_i[parent_idx]) if one_to_one_mapping: if len(to_return) != len(set(to_return)): raise ValueError("One-to-one mapping between structures not found.") if return_mapping_distances: return np.array(to_return), np.array(dr_ij_to_return) else: return np.array(to_return)