# coding: utf-8
# Copyright (c) Pymatgen Development Team.
# Distributed under the terms of the MIT License.
"""Module contains classes presenting Element and Specie (Element + oxidation state) and PeriodicTable."""
import re
import json
import warnings
from io import open
from pathlib import Path
from enum import Enum
from typing import Optional, Callable
from itertools import product, \
combinations
from collections import Counter
import numpy as np
from pymatgen.core.units import Mass, Length, FloatWithUnit, Unit, \
SUPPORTED_UNIT_NAMES
from pymatgen.util.string import formula_double_format
from monty.json import MSONable
# Loads element data from json file
with open(str(Path(__file__).absolute().parent / "periodic_table.json"), "rt") as f:
_pt_data = json.load(f)
_pt_row_sizes = (2, 8, 8, 18, 18, 32, 32)
[docs]class Element(Enum):
"""Enum representing an element in the periodic table."""
# This name = value convention is redundant and dumb, but unfortunately is
# necessary to preserve backwards compatibility with a time when Element is
# a regular object that is constructed with Element(symbol).
H = "H"
He = "He"
Li = "Li"
Be = "Be"
B = "B"
C = "C"
N = "N"
O = "O"
F = "F"
Ne = "Ne"
Na = "Na"
Mg = "Mg"
Al = "Al"
Si = "Si"
P = "P"
S = "S"
Cl = "Cl"
Ar = "Ar"
K = "K"
Ca = "Ca"
Sc = "Sc"
Ti = "Ti"
V = "V"
Cr = "Cr"
Mn = "Mn"
Fe = "Fe"
Co = "Co"
Ni = "Ni"
Cu = "Cu"
Zn = "Zn"
Ga = "Ga"
Ge = "Ge"
As = "As"
Se = "Se"
Br = "Br"
Kr = "Kr"
Rb = "Rb"
Sr = "Sr"
Y = "Y"
Zr = "Zr"
Nb = "Nb"
Mo = "Mo"
Tc = "Tc"
Ru = "Ru"
Rh = "Rh"
Pd = "Pd"
Ag = "Ag"
Cd = "Cd"
In = "In"
Sn = "Sn"
Sb = "Sb"
Te = "Te"
I = "I"
Xe = "Xe"
Cs = "Cs"
Ba = "Ba"
La = "La"
Ce = "Ce"
Pr = "Pr"
Nd = "Nd"
Pm = "Pm"
Sm = "Sm"
Eu = "Eu"
Gd = "Gd"
Tb = "Tb"
Dy = "Dy"
Ho = "Ho"
Er = "Er"
Tm = "Tm"
Yb = "Yb"
Lu = "Lu"
Hf = "Hf"
Ta = "Ta"
W = "W"
Re = "Re"
Os = "Os"
Ir = "Ir"
Pt = "Pt"
Au = "Au"
Hg = "Hg"
Tl = "Tl"
Pb = "Pb"
Bi = "Bi"
Po = "Po"
At = "At"
Rn = "Rn"
Fr = "Fr"
Ra = "Ra"
Ac = "Ac"
Th = "Th"
Pa = "Pa"
U = "U"
Np = "Np"
Pu = "Pu"
Am = "Am"
Cm = "Cm"
Bk = "Bk"
Cf = "Cf"
Es = "Es"
Fm = "Fm"
Md = "Md"
No = "No"
Lr = "Lr"
Rf = "Rf"
Db = "Db"
Sg = "Sg"
Bh = "Bh"
Hs = "Hs"
Mt = "Mt"
Ds = "Ds"
Rg = "Rg"
Cn = "Cn"
Nh = "Nh"
Fl = "Fl"
Mc = "Mc"
Lv = "Lv"
Ts = "Ts"
Og = "Og"
def __init__(self, symbol: str):
"""
Basic immutable element object with all relevant properties.
Only one instance of Element for each symbol is stored after creation,
ensuring that a particular element behaves like a singleton. For all
attributes, missing data (i.e., data for which is not available) is
represented by a None unless otherwise stated.
Args:
symbol (str): Element symbol, e.g., "H", "Fe"
.. attribute:: Z
Atomic number
.. attribute:: symbol
Element symbol
.. attribute:: X
Pauling electronegativity. Elements without an electronegativity
number are assigned a value of zero by default.
.. attribute:: number
Alternative attribute for atomic number
.. attribute:: max_oxidation_state
Maximum oxidation state for element
.. attribute:: min_oxidation_state
Minimum oxidation state for element
.. attribute:: oxidation_states
Tuple of all known oxidation states
.. attribute:: common_oxidation_states
Tuple of all common oxidation states
.. attribute:: full_electronic_structure
Full electronic structure as tuple.
E.g., The electronic structure for Fe is represented as:
[(1, "s", 2), (2, "s", 2), (2, "p", 6), (3, "s", 2), (3, "p", 6),
(3, "d", 6), (4, "s", 2)]
.. attribute:: row
Returns the periodic table row of the element.
.. attribute:: group
Returns the periodic table group of the element.
.. attribute:: block
Return the block character "s,p,d,f"
.. attribute:: is_noble_gas
True if element is noble gas.
.. attribute:: is_transition_metal
True if element is a transition metal.
.. attribute:: is_post_transition_metal
True if element is a post transition metal.
.. attribute:: is_rare_earth_metal
True if element is a rare earth metal.
.. attribute:: is_metalloid
True if element is a metalloid.
.. attribute:: is_alkali
True if element is an alkali metal.
.. attribute:: is_alkaline
True if element is an alkaline earth metal (group II).
.. attribute:: is_halogen
True if element is a halogen.
.. attribute:: is_lanthanoid
True if element is a lanthanoid.
.. attribute:: is_actinoid
True if element is a actinoid.
.. attribute:: iupac_ordering
Ordering according to Table VI of "Nomenclature of Inorganic Chemistry
(IUPAC Recommendations 2005)". This ordering effectively follows the
groups and rows of the periodic table, except the Lanthanides, Actanides
and hydrogen.
.. attribute:: long_name
Long name for element. E.g., "Hydrogen".
.. attribute:: atomic_mass
Atomic mass for the element.
.. attribute:: atomic_radius
Atomic radius for the element. This is the empirical value. Data is
obtained from
http://en.wikipedia.org/wiki/Atomic_radii_of_the_elements_(data_page).
.. attribute:: atomic_radius_calculated
Calculated atomic radius for the element. This is the empirical value.
Data is obtained from
http://en.wikipedia.org/wiki/Atomic_radii_of_the_elements_(data_page).
.. attribute:: van_der_waals_radius
Van der Waals radius for the element. This is the empirical
value. Data is obtained from
http://en.wikipedia.org/wiki/Atomic_radii_of_the_elements_(data_page).
.. attribute:: mendeleev_no
Mendeleev number from definition given by Pettifor, D. G. (1984).
A chemical scale for crystal-structure maps. Solid State Communications,
51 (1), 31-34
.. attribute:: electrical_resistivity
Electrical resistivity
.. attribute:: velocity_of_sound
Velocity of sound
.. attribute:: reflectivity
Reflectivity
.. attribute:: refractive_index
Refractice index
.. attribute:: poissons_ratio
Poisson's ratio
.. attribute:: molar_volume
Molar volume
.. attribute:: electronic_structure
Electronic structure.
E.g., The electronic structure for Fe is represented as
[Ar].3d6.4s2
.. attribute:: atomic_orbitals
Atomic Orbitals. Energy of the atomic orbitals as a dict.
E.g., The orbitals energies in eV are represented as
{'1s': -1.0, '2s': -0.1}
Data is obtained from
https://www.nist.gov/pml/data/atomic-reference-data-electronic-structure-calculations
The LDA values for neutral atoms are used
.. attribute:: thermal_conductivity
Thermal conductivity
.. attribute:: boiling_point
Boiling point
.. attribute:: melting_point
Melting point
.. attribute:: critical_temperature
Critical temperature
.. attribute:: superconduction_temperature
Superconduction temperature
.. attribute:: liquid_range
Liquid range
.. attribute:: bulk_modulus
Bulk modulus
.. attribute:: youngs_modulus
Young's modulus
.. attribute:: brinell_hardness
Brinell hardness
.. attribute:: rigidity_modulus
Rigidity modulus
.. attribute:: mineral_hardness
Mineral hardness
.. attribute:: vickers_hardness
Vicker's hardness
.. attribute:: density_of_solid
Density of solid phase
.. attribute:: coefficient_of_linear_thermal_expansion
Coefficient of linear thermal expansion
.. attribute:: average_ionic_radius
Average ionic radius for element in ang. The average is taken over all
oxidation states of the element for which data is present.
.. attribute:: average_cationic_radius
Average cationic radius for element in ang. The average is taken over all
positive oxidation states of the element for which data is present.
.. attribute:: average_anionic_radius
Average ionic radius for element in ang. The average is taken over all
negative oxidation states of the element for which data is present.
.. attribute:: ionic_radii
All ionic radii of the element as a dict of
{oxidation state: ionic radii}. Radii are given in ang.
"""
self.symbol = "%s" % symbol
d = _pt_data[symbol]
# Store key variables for quick access
self.Z = d["Atomic no"]
at_r = d.get("Atomic radius", "no data")
if str(at_r).startswith("no data"):
self._atomic_radius = None
else:
self._atomic_radius = Length(at_r, "ang")
self._atomic_mass = Mass(d["Atomic mass"], "amu")
self.long_name = d["Name"]
self._data = d
@property
def X(self):
"""
:return: Electronegativity of element. Note that if an element does not
have an electronegativity, a NaN float is returned.
"""
if "X" in self._data:
return self._data["X"]
warnings.warn("No electronegativity for %s. Setting to NaN. "
"This has no physical meaning, and is mainly done to "
"avoid errors caused by the code expecting a float."
% self.symbol)
return float("NaN")
@property
def atomic_radius(self):
"""
Returns: The atomic radius of the element in Ã…ngstroms.
"""
return self._atomic_radius
@property
def atomic_mass(self):
"""
Returns: The atomic mass of the element in amu.
"""
return self._atomic_mass
def __getattr__(self, item):
if item in ["mendeleev_no", "electrical_resistivity",
"velocity_of_sound", "reflectivity",
"refractive_index", "poissons_ratio", "molar_volume",
"thermal_conductivity", "boiling_point", "melting_point",
"critical_temperature", "superconduction_temperature",
"liquid_range", "bulk_modulus", "youngs_modulus",
"brinell_hardness", "rigidity_modulus",
"mineral_hardness", "vickers_hardness",
"density_of_solid", "atomic_radius_calculated",
"van_der_waals_radius", "atomic_orbitals",
"coefficient_of_linear_thermal_expansion",
"ground_state_term_symbol", "valence"]:
kstr = item.capitalize().replace("_", " ")
val = self._data.get(kstr, None)
if str(val).startswith("no data"):
val = None
elif isinstance(val, dict):
pass
else:
try:
val = float(val)
except ValueError:
nobracket = re.sub(r'\(.*\)', "", val)
toks = nobracket.replace("about", "").strip().split(" ", 1)
if len(toks) == 2:
try:
if "10<sup>" in toks[1]:
base_power = re.findall(r'([+-]?\d+)', toks[1])
factor = "e" + base_power[1]
if toks[0] in [">", "high"]:
toks[0] = "1" # return the border value
toks[0] += factor
if item == "electrical_resistivity":
unit = "ohm m"
elif item == "coefficient_of_linear_thermal_expansion":
unit = "K^-1"
else:
unit = toks[1]
val = FloatWithUnit(toks[0], unit)
else:
unit = toks[1].replace("<sup>", "^").replace(
"</sup>", "").replace("Ω",
"ohm")
units = Unit(unit)
if set(units.keys()).issubset(
SUPPORTED_UNIT_NAMES):
val = FloatWithUnit(toks[0], unit)
except ValueError:
# Ignore error. val will just remain a string.
pass
return val
raise AttributeError("Element has no attribute %s!" % item)
@property
def data(self) -> dict:
"""
Returns dict of data for element.
"""
return self._data.copy()
@property
def electronic_structure(self) -> str:
"""
Electronic structure as string, with only valence electrons.
E.g., The electronic structure for Fe is represented as '[Ar].3d6.4s2'
"""
return re.sub("</*sup>", "", self._data["Electronic structure"])
@property
def average_ionic_radius(self):
"""
Average ionic radius for element (with units). The average is taken
over all oxidation states of the element for which data is present.
"""
if "Ionic radii" in self._data:
radii = self._data["Ionic radii"]
radius = sum(radii.values()) / len(radii)
else:
radius = 0.0
return FloatWithUnit(radius, "ang")
@property
def average_cationic_radius(self):
"""
Average cationic radius for element (with units). The average is
taken over all positive oxidation states of the element for which
data is present.
"""
if "Ionic radii" in self._data:
radii = [v for k, v in self._data["Ionic radii"].items()
if int(k) > 0]
if radii:
return FloatWithUnit(sum(radii) / len(radii), "ang")
return FloatWithUnit(0.0, "ang")
@property
def average_anionic_radius(self):
"""
Average anionic radius for element (with units). The average is
taken over all negative oxidation states of the element for which
data is present.
"""
if "Ionic radii" in self._data:
radii = [v for k, v in self._data["Ionic radii"].items()
if int(k) < 0]
if radii:
return FloatWithUnit(sum(radii) / len(radii), "ang")
return FloatWithUnit(0.0, "ang")
@property
def ionic_radii(self):
"""
All ionic radii of the element as a dict of
{oxidation state: ionic radii}. Radii are given in ang.
"""
if "Ionic radii" in self._data:
return {int(k): FloatWithUnit(v, "ang") for k, v in self._data["Ionic radii"].items()}
return {}
@property
def number(self):
"""Alternative attribute for atomic number"""
return self.Z
@property
def max_oxidation_state(self):
"""Maximum oxidation state for element"""
if "Oxidation states" in self._data:
return max(self._data["Oxidation states"])
return 0
@property
def min_oxidation_state(self):
"""Minimum oxidation state for element"""
if "Oxidation states" in self._data:
return min(self._data["Oxidation states"])
return 0
@property
def oxidation_states(self):
"""Tuple of all known oxidation states"""
return tuple(self._data.get("Oxidation states", list()))
@property
def common_oxidation_states(self):
"""Tuple of all known oxidation states"""
return tuple(self._data.get("Common oxidation states", list()))
@property
def icsd_oxidation_states(self):
"""Tuple of all oxidation states with at least 10 instances in
ICSD database AND at least 1% of entries for that element"""
return tuple(self._data.get("ICSD oxidation states", list()))
@property
def metallic_radius(self):
"""
Metallic radius of the element. Radius is given in ang.
"""
return FloatWithUnit(self._data["Metallic radius"], "ang")
@property
def full_electronic_structure(self):
"""
Full electronic structure as tuple.
E.g., The electronic structure for Fe is represented as:
[(1, "s", 2), (2, "s", 2), (2, "p", 6), (3, "s", 2), (3, "p", 6),
(3, "d", 6), (4, "s", 2)]
"""
estr = self.electronic_structure
def parse_orbital(orbstr):
m = re.match(r"(\d+)([spdfg]+)(\d+)", orbstr)
if m:
return int(m.group(1)), m.group(2), int(m.group(3))
return orbstr
data = [parse_orbital(s) for s in estr.split(".")]
if data[0][0] == "[":
sym = data[0].replace("[", "").replace("]", "")
data = Element(sym).full_electronic_structure + data[1:]
return data
@property
def valence(self):
"""
# From full electron config obtain valence subshell
# angular moment (L) and number of valence e- (v_e)
"""
# the number of valence of noble gas is 0
if self.group == 18:
return (np.nan, 0)
L_symbols = 'SPDFGHIKLMNOQRTUVWXYZ'
valence = []
full_electron_config = self.full_electronic_structure
for _, l_symbol, ne in full_electron_config[::-1]:
l = L_symbols.lower().index(l_symbol)
if ne < (2 * l + 1) * 2:
valence.append((l, ne))
if len(valence) > 1:
raise ValueError("Ambiguous valence")
return valence[0]
@property
def term_symbols(self):
"""
All possible Russell-Saunders term symbol of the Element
eg. L = 1, n_e = 2 (s2)
returns
[['1D2'], ['3P0', '3P1', '3P2'], ['1S0']]
"""
L_symbols = 'SPDFGHIKLMNOQRTUVWXYZ'
L, v_e = self.valence
# for one electron in subshell L
ml = list(range(-L, L + 1))
ms = [1 / 2, -1 / 2]
# all possible configurations of ml,ms for one e in subshell L
ml_ms = list(product(ml, ms))
# Number of possible configurations for r electrons in subshell L.
n = (2 * L + 1) * 2
# the combination of n_e electrons configurations
# C^{n}_{n_e}
e_config_combs = list(combinations(range(n), v_e))
# Total ML = sum(ml1, ml2), Total MS = sum(ms1, ms2)
TL = [sum([ml_ms[comb[e]][0] for e in range(v_e)])
for comb in e_config_combs]
TS = [sum([ml_ms[comb[e]][1] for e in range(v_e)])
for comb in e_config_combs]
comb_counter = Counter([r for r in zip(TL, TS)])
term_symbols = []
while sum(comb_counter.values()) > 0:
# Start from the lowest freq combination,
# which corresponds to largest abs(L) and smallest abs(S)
L, S = min(comb_counter)
J = list(np.arange(abs(L - S), abs(L) + abs(S) + 1))
term_symbols.append([str(int(2 * (abs(S)) + 1)) + L_symbols[abs(L)] + str(j) for j in J])
# Without J
# term_symbols.append(str(int(2 * (abs(S)) + 1)) \
# + L_symbols[abs(L)])
# Delete all configurations included in this term
for ML in range(-L, L - 1, -1):
for MS in np.arange(S, -S + 1, 1):
if (ML, MS) in comb_counter:
comb_counter[(ML, MS)] -= 1
if comb_counter[(ML, MS)] == 0:
del comb_counter[(ML, MS)]
return term_symbols
@property
def ground_state_term_symbol(self):
"""
Ground state term symbol
Selected based on Hund's Rule
"""
L_symbols = 'SPDFGHIKLMNOQRTUVWXYZ'
term_symbols = self.term_symbols
term_symbol_flat = {term: {"multiplicity": int(term[0]),
"L": L_symbols.index(term[1]),
"J": float(term[2:])}
for term in sum(term_symbols, [])}
multi = [int(item['multiplicity'])
for terms, item in term_symbol_flat.items()]
max_multi_terms = {symbol: item
for symbol, item in term_symbol_flat.items()
if item['multiplicity'] == max(multi)}
Ls = [item['L'] for terms, item in max_multi_terms.items()]
max_L_terms = {symbol: item
for symbol, item in term_symbol_flat.items()
if item['L'] == max(Ls)}
J_sorted_terms = sorted(max_L_terms.items(),
key=lambda k: k[1]['J'])
L, v_e = self.valence
if v_e <= (2 * L + 1):
return J_sorted_terms[0][0]
return J_sorted_terms[-1][0]
def __eq__(self, other):
return isinstance(other, Element) and self.Z == other.Z
def __ne__(self, other):
return not self.__eq__(other)
def __hash__(self):
return self.Z
def __repr__(self):
return "Element " + self.symbol
def __str__(self):
return self.symbol
def __lt__(self, other):
"""
Sets a default sort order for atomic species by electronegativity. Very
useful for getting correct formulas. For example, FeO4PLi is
automatically sorted into LiFePO4.
"""
x1 = float("inf") if self.X != self.X else self.X
x2 = float("inf") if other.X != other.X else other.X
if x1 != x2:
return x1 < x2
# There are cases where the electronegativity are exactly equal.
# We then sort by symbol.
return self.symbol < other.symbol
[docs] @staticmethod
def from_Z(z: int):
"""
Get an element from an atomic number.
Args:
z (int): Atomic number
Returns:
Element with atomic number z.
"""
for sym, data in _pt_data.items():
if data["Atomic no"] == z:
return Element(sym)
raise ValueError("No element with this atomic number %s" % z)
[docs] @staticmethod
def from_row_and_group(row: int, group: int):
"""
Returns an element from a row and group number.
Args:
row (int): Row number
group (int): Group number
.. note::
The 18 group number system is used, i.e., Noble gases are group 18.
"""
for sym in _pt_data.keys():
el = Element(sym)
if el.row == row and el.group == group:
return el
raise ValueError("No element with this row and group!")
[docs] @staticmethod
def is_valid_symbol(symbol: str):
"""
Returns true if symbol is a valid element symbol.
Args:
symbol (str): Element symbol
Returns:
True if symbol is a valid element (e.g., "H"). False otherwise
(e.g., "Zebra").
"""
return symbol in Element.__members__
@property
def row(self):
"""
Returns the periodic table row of the element.
"""
z = self.Z
total = 0
if 57 <= z <= 71:
return 8
if 89 <= z <= 103:
return 9
for i, size in enumerate(_pt_row_sizes):
total += size
if total >= z:
return i + 1
return 8
@property
def group(self):
"""
Returns the periodic table group of the element.
"""
z = self.Z
if z == 1:
return 1
if z == 2:
return 18
if 3 <= z <= 18:
if (z - 2) % 8 == 0:
return 18
if (z - 2) % 8 <= 2:
return (z - 2) % 8
return 10 + (z - 2) % 8
if 19 <= z <= 54:
if (z - 18) % 18 == 0:
return 18
return (z - 18) % 18
if (z - 54) % 32 == 0:
return 18
if (z - 54) % 32 >= 18:
return (z - 54) % 32 - 14
return (z - 54) % 32
@property
def block(self):
"""
Return the block character "s,p,d,f"
"""
if (self.is_actinoid or self.is_lanthanoid) and self.Z not in [71, 103]:
return "f"
if self.is_actinoid or self.is_lanthanoid:
return "d"
if self.group in [1, 2]:
return "s"
if self.group in range(13, 19):
return "p"
if self.group in range(3, 13):
return "d"
raise ValueError("unable to determine block")
@property
def is_noble_gas(self):
"""
True if element is noble gas.
"""
return self.Z in (2, 10, 18, 36, 54, 86, 118)
@property
def is_transition_metal(self):
"""
True if element is a transition metal.
"""
ns = list(range(21, 31))
ns.extend(list(range(39, 49)))
ns.append(57)
ns.extend(list(range(72, 81)))
ns.append(89)
ns.extend(list(range(104, 113)))
return self.Z in ns
@property
def is_post_transition_metal(self):
"""
True if element is a post-transition or poor metal.
"""
return self.symbol in ("Al", "Ga", "In", "Tl", "Sn", "Pb", "Bi")
@property
def is_rare_earth_metal(self) -> bool:
"""
True if element is a rare earth metal.
"""
return self.is_lanthanoid or self.is_actinoid
@property
def is_metal(self) -> bool:
"""
:return: True if is a metal.
"""
return (self.is_alkali or self.is_alkaline or
self.is_post_transition_metal or self.is_transition_metal or
self.is_lanthanoid or self.is_actinoid)
@property
def is_metalloid(self) -> bool:
"""
True if element is a metalloid.
"""
return self.symbol in ("B", "Si", "Ge", "As", "Sb", "Te", "Po")
@property
def is_alkali(self) -> bool:
"""
True if element is an alkali metal.
"""
return self.Z in (3, 11, 19, 37, 55, 87)
@property
def is_alkaline(self) -> bool:
"""
True if element is an alkaline earth metal (group II).
"""
return self.Z in (4, 12, 20, 38, 56, 88)
@property
def is_halogen(self):
"""
True if element is a halogen.
"""
return self.Z in (9, 17, 35, 53, 85)
@property
def is_chalcogen(self):
"""
True if element is a chalcogen.
"""
return self.Z in (8, 16, 34, 52, 84)
@property
def is_lanthanoid(self):
"""
True if element is a lanthanoid.
"""
return 56 < self.Z < 72
@property
def is_actinoid(self):
"""
True if element is a actinoid.
"""
return 88 < self.Z < 104
@property
def is_quadrupolar(self):
"""
Checks if this element can be quadrupolar
"""
return len(self.data.get("NMR Quadrupole Moment", {})) > 0
@property
def nmr_quadrupole_moment(self):
"""
Get a dictionary the nuclear electric quadrupole moment in units of
e*millibarns for various isotopes
"""
return {k: FloatWithUnit(v, "mbarn")
for k, v in self.data.get("NMR Quadrupole Moment", {}).items()}
@property
def iupac_ordering(self):
"""
Ordering according to Table VI of "Nomenclature of Inorganic Chemistry
(IUPAC Recommendations 2005)". This ordering effectively follows the
groups and rows of the periodic table, except the Lanthanides, Actanides
and hydrogen.
"""
return self._data["IUPAC ordering"]
def __deepcopy__(self, memo):
return Element(self.symbol)
[docs] @staticmethod
def from_dict(d):
"""
Makes Element obey the general json interface used in pymatgen for
easier serialization.
"""
return Element(d["element"])
[docs] def as_dict(self):
"""
Makes Element obey the general json interface used in pymatgen for
easier serialization.
"""
return {"@module": self.__class__.__module__,
"@class": self.__class__.__name__,
"element": self.symbol}
[docs] @staticmethod
def print_periodic_table(filter_function: Optional[Callable] = None):
"""
A pretty ASCII printer for the periodic table, based on some
filter_function.
Args:
filter_function: A filtering function taking an Element as input
and returning a boolean. For example, setting
filter_function = lambda el: el.X > 2 will print a periodic
table containing only elements with electronegativity > 2.
"""
for row in range(1, 10):
rowstr = []
for group in range(1, 19):
try:
el = Element.from_row_and_group(row, group)
except ValueError:
el = None
if el and ((not filter_function) or filter_function(el)):
rowstr.append("{:3s}".format(el.symbol))
else:
rowstr.append(" ")
print(" ".join(rowstr))
[docs]class Specie(MSONable):
"""
An extension of Element with an oxidation state and other optional
properties. Properties associated with Specie should be "idealized"
values, not calculated values. For example, high-spin Fe2+ may be
assigned an idealized spin of +5, but an actual Fe2+ site may be
calculated to have a magmom of +4.5. Calculated properties should be
assigned to Site objects, and not Specie.
"""
supported_properties = ("spin",)
def __init__(self, symbol: str,
oxidation_state: float = 0.0,
properties: dict = None):
"""
Initializes a Specie.
Args:
symbol (str): Element symbol, e.g., Fe
oxidation_state (float): Oxidation state of element, e.g., 2 or -2
properties: Properties associated with the Specie, e.g.,
{"spin": 5}. Defaults to None. Properties must be one of the
Specie supported_properties.
.. attribute:: oxi_state
Oxidation state associated with Specie
.. attribute:: ionic_radius
Ionic radius of Specie (with specific oxidation state).
.. versionchanged:: 2.6.7
Properties are now checked when comparing two Species for equality.
"""
self._el = Element(symbol)
self._oxi_state = oxidation_state
self._properties = properties if properties else {}
for k in self._properties.keys():
if k not in Specie.supported_properties:
raise ValueError("{} is not a supported property".format(k))
def __getattr__(self, a):
# overriding getattr doesn't play nice with pickle, so we
# can't use self._properties
p = object.__getattribute__(self, '_properties')
if a in p:
return p[a]
return getattr(self._el, a)
def __eq__(self, other):
"""
Specie is equal to other only if element and oxidation states are
exactly the same.
"""
return (isinstance(other, Specie) and self.symbol == other.symbol
and self.oxi_state == other.oxi_state
and self._properties == other._properties)
def __ne__(self, other):
return not self.__eq__(other)
def __hash__(self):
"""
Equal Specie should have the same str representation, hence
should hash equally. Unequal Specie will have differnt str
representations.
"""
return self.__str__().__hash__()
def __lt__(self, other):
"""
Sets a default sort order for atomic species by electronegativity,
followed by oxidation state, followed by spin.
"""
x1 = float("inf") if self.X != self.X else self.X
x2 = float("inf") if other.X != other.X else other.X
if x1 != x2:
return x1 < x2
if self.symbol != other.symbol:
# There are cases where the electronegativity are exactly equal.
# We then sort by symbol.
return self.symbol < other.symbol
if self.oxi_state:
other_oxi = 0 if (isinstance(other, Element)
or other.oxi_state is None) else other.oxi_state
return self.oxi_state < other_oxi
if getattr(self, "spin", False):
other_spin = getattr(other, "spin", 0)
return self.spin < other_spin
return False
@property
def element(self):
"""
Underlying element object
"""
return self._el
@property
def ionic_radius(self):
"""
Ionic radius of specie. Returns None if data is not present.
"""
if self._oxi_state in self.ionic_radii:
return self.ionic_radii[self._oxi_state]
d = self._el.data
oxstr = str(int(self._oxi_state))
if oxstr in d.get("Ionic radii hs", {}):
warnings.warn("No default ionic radius for %s. Using hs data." %
self)
return d["Ionic radii hs"][oxstr]
if oxstr in d.get("Ionic radii ls", {}):
warnings.warn("No default ionic radius for %s. Using ls data." %
self)
return d["Ionic radii ls"][oxstr]
warnings.warn("No ionic radius for {}!".format(self))
return None
@property
def oxi_state(self):
"""
Oxidation state of Specie.
"""
return self._oxi_state
[docs] @staticmethod
def from_string(species_string: str):
"""
Returns a Specie from a string representation.
Args:
species_string (str): A typical string representation of a
species, e.g., "Mn2+", "Fe3+", "O2-".
Returns:
A Specie object.
Raises:
ValueError if species_string cannot be intepreted.
"""
m = re.search(r"([A-Z][a-z]*)([0-9.]*)([+\-])(.*)", species_string)
if m:
sym = m.group(1)
oxi = 1 if m.group(2) == "" else float(m.group(2))
oxi = -oxi if m.group(3) == "-" else oxi
properties = None
if m.group(4):
toks = m.group(4).replace(",", "").split("=")
properties = {toks[0]: float(toks[1])}
return Specie(sym, oxi, properties)
raise ValueError("Invalid Species String")
def __repr__(self):
return "Specie " + self.__str__()
def __str__(self):
output = self.symbol
if self.oxi_state is not None:
if self.oxi_state >= 0:
output += formula_double_format(self.oxi_state) + "+"
else:
output += formula_double_format(-self.oxi_state) + "-"
for p, v in self._properties.items():
output += ",%s=%s" % (p, v)
return output
[docs] def get_nmr_quadrupole_moment(self, isotope=None):
"""
Gets the nuclear electric quadrupole moment in units of
e*millibarns
Args:
isotope (str): the isotope to get the quadrupole moment for
default is None, which gets the lowest mass isotope
"""
quad_mom = self._el.nmr_quadrupole_moment
if not quad_mom:
return 0.0
if isotope is None:
isotopes = list(quad_mom.keys())
isotopes.sort(key=lambda x: int(x.split("-")[1]), reverse=False)
return quad_mom.get(isotopes[0], 0.0)
if isotope not in quad_mom:
raise ValueError("No quadrupole moment for isotope {}".format(
isotope))
return quad_mom.get(isotope, 0.0)
[docs] def get_shannon_radius(self, cn: str, spin: str = "",
radius_type: str = "ionic"):
"""
Get the local environment specific ionic radius for species.
Args:
cn (str): Coordination using roman letters. Supported values are
I-IX, as well as IIIPY, IVPY and IVSQ.
spin (str): Some species have different radii for different
spins. You can get specific values using "High Spin" or
"Low Spin". Leave it as "" if not available. If only one spin
data is available, it is returned and this spin parameter is
ignored.
radius_type (str): Either "crystal" or "ionic" (default).
Returns:
Shannon radius for specie in the specified environment.
"""
radii = self._el.data["Shannon radii"]
radii = radii[str(int(self._oxi_state))][cn] # type: ignore
if len(radii) == 1: # type: ignore
k, data = list(radii.items())[0] # type: ignore
if k != spin:
warnings.warn(
"Specified spin state of %s not consistent with database "
"spin of %s. Only one spin data available, and "
"that value is returned." % (spin, k)
)
else:
data = radii[spin]
return data["%s_radius" % radius_type]
[docs] def get_crystal_field_spin(self, coordination: str = "oct",
spin_config: str = "high"):
"""
Calculate the crystal field spin based on coordination and spin
configuration. Only works for transition metal species.
Args:
coordination (str): Only oct and tet are supported at the moment.
spin_config (str): Supported keywords are "high" or "low".
Returns:
Crystal field spin in Bohr magneton.
Raises:
AttributeError if species is not a valid transition metal or has
an invalid oxidation state.
ValueError if invalid coordination or spin_config.
"""
if coordination not in ("oct", "tet") or spin_config not in ("high", "low"):
raise ValueError("Invalid coordination or spin config.")
elec = self.full_electronic_structure
if len(elec) < 4 or elec[-1][1] != "s" or elec[-2][1] != "d":
raise AttributeError(
"Invalid element {} for crystal field calculation.".format(self.symbol))
nelectrons = elec[-1][2] + elec[-2][2] - self.oxi_state
if nelectrons < 0 or nelectrons > 10:
raise AttributeError(
"Invalid oxidation state {} for element {}".format(self.oxi_state, self.symbol))
if spin_config == "high":
if nelectrons <= 5:
return nelectrons
return 10 - nelectrons
if spin_config == "low":
if coordination == "oct":
if nelectrons <= 3:
return nelectrons
if nelectrons <= 6:
return 6 - nelectrons
if nelectrons <= 8:
return nelectrons - 6
return 10 - nelectrons
if coordination == "tet":
if nelectrons <= 2:
return nelectrons
if nelectrons <= 4:
return 4 - nelectrons
if nelectrons <= 7:
return nelectrons - 4
return 10 - nelectrons
raise RuntimeError()
def __deepcopy__(self, memo):
return Specie(self.symbol, self.oxi_state, self._properties)
[docs] def as_dict(self):
"""
:return: Json-able dictionary representation.
"""
d = {"@module": self.__class__.__module__,
"@class": self.__class__.__name__,
"element": self.symbol,
"oxidation_state": self._oxi_state}
if self._properties:
d["properties"] = self._properties
return d
[docs] @classmethod
def from_dict(cls, d):
"""
:param d: Dict representation.
:return: Specie.
"""
return cls(d["element"], d["oxidation_state"],
d.get("properties", None))
[docs]class DummySpecie(Specie):
"""
A special specie for representing non-traditional elements or species. For
example, representation of vacancies (charged or otherwise), or special
sites, etc.
.. attribute:: oxi_state
Oxidation state associated with Specie.
.. attribute:: Z
DummySpecie is always assigned an atomic number equal to the hash
number of the symbol. Obviously, it makes no sense whatsoever to use
the atomic number of a Dummy specie for anything scientific. The purpose
of this is to ensure that for most use cases, a DummySpecie behaves no
differently from an Element or Specie.
.. attribute:: X
DummySpecie is always assigned an electronegativity of 0.
"""
def __init__(self,
symbol: str = "X",
oxidation_state: float = 0,
properties: dict = None):
"""
Args:
symbol (str): An assigned symbol for the dummy specie. Strict
rules are applied to the choice of the symbol. The dummy
symbol cannot have any part of first two letters that will
constitute an Element symbol. Otherwise, a composition may
be parsed wrongly. E.g., "X" is fine, but "Vac" is not
because Vac contains V, a valid Element.
oxidation_state (float): Oxidation state for dummy specie.
Defaults to zero.
"""
# enforce title case to match other elements, reduces confusion
# when multiple DummySpecie in a "formula" string
symbol = symbol.title()
for i in range(1, min(2, len(symbol)) + 1):
if Element.is_valid_symbol(symbol[:i]):
raise ValueError("{} contains {}, which is a valid element "
"symbol.".format(symbol, symbol[:i]))
# Set required attributes for DummySpecie to function like a Specie in
# most instances.
self._symbol = symbol
self._oxi_state = oxidation_state
self._properties = properties if properties else {}
for k in self._properties.keys():
if k not in Specie.supported_properties:
raise ValueError("{} is not a supported property".format(k))
def __getattr__(self, a):
# overriding getattr doens't play nice with pickle, so we
# can't use self._properties
p = object.__getattribute__(self, '_properties')
if a in p:
return p[a]
raise AttributeError(a)
def __hash__(self):
return self.symbol.__hash__()
def __eq__(self, other):
"""
Specie is equal to other only if element and oxidation states are
exactly the same.
"""
if not isinstance(other, DummySpecie):
return False
return (isinstance(other, Specie) and
self.symbol == other.symbol and
self.oxi_state == other.oxi_state and
self._properties == other._properties)
def __ne__(self, other):
return not self.__eq__(other)
def __lt__(self, other):
"""
Sets a default sort order for atomic species by electronegativity,
followed by oxidation state.
"""
if self.X != other.X:
return self.X < other.X
if self.symbol != other.symbol:
# There are cases where the electronegativity are exactly equal.
# We then sort by symbol.
return self.symbol < other.symbol
other_oxi = 0 if isinstance(other, Element) else other.oxi_state
return self.oxi_state < other_oxi
@property
def Z(self) -> int:
"""
DummySpecie is always assigned an atomic number equal to the hash of
the symbol. The expectation is that someone would be an actual dummy
to use atomic numbers for a Dummy specie.
"""
return self.symbol.__hash__()
@property
def oxi_state(self) -> float:
"""
Oxidation state associated with DummySpecie
"""
return self._oxi_state
@property
def X(self) -> float:
"""
DummySpecie is always assigned an electronegativity of 0. The effect of
this is that DummySpecie are always sorted in front of actual Specie.
"""
return 0.0
@property
def symbol(self) -> str:
"""
:return: Symbol for DummySpecie.
"""
return self._symbol
def __deepcopy__(self, memo):
return DummySpecie(self.symbol, self._oxi_state)
[docs] @staticmethod
def from_string(species_string: str):
"""
Returns a Dummy from a string representation.
Args:
species_string (str): A string representation of a dummy
species, e.g., "X2+", "X3+".
Returns:
A DummySpecie object.
Raises:
ValueError if species_string cannot be intepreted.
"""
m = re.search(r"([A-ZAa-z]*)([0-9.]*)([+\-]*)(.*)", species_string)
if m:
sym = m.group(1)
if m.group(2) == "" and m.group(3) == "":
oxi = 0.0
else:
oxi = 1.0 if m.group(2) == "" else float(m.group(2))
oxi = -oxi if m.group(3) == "-" else oxi
properties = None
if m.group(4):
toks = m.group(4).split("=")
properties = {toks[0]: float(toks[1])}
return DummySpecie(sym, oxi, properties)
raise ValueError("Invalid DummySpecies String")
[docs] def as_dict(self):
"""
:return: MSONAble dict representation.
"""
d = {"@module": self.__class__.__module__,
"@class": self.__class__.__name__,
"element": self.symbol,
"oxidation_state": self._oxi_state}
if self._properties:
d["properties"] = self._properties
return d
[docs] @classmethod
def from_dict(cls, d):
"""
:param d: Dict representation
:return: DummySpecie
"""
return cls(d["element"], d["oxidation_state"],
d.get("properties", None))
def __repr__(self):
return "DummySpecie " + self.__str__()
def __str__(self):
output = self.symbol
if self.oxi_state is not None:
if self.oxi_state >= 0:
output += formula_double_format(self.oxi_state) + "+"
else:
output += formula_double_format(-self.oxi_state) + "-"
for p, v in self._properties.items():
output += ",%s=%s" % (p, v)
return output
[docs]def get_el_sp(obj):
"""
Utility method to get an Element or Specie from an input obj.
If obj is in itself an element or a specie, it is returned automatically.
If obj is an int or a string representing an integer, the Element
with the atomic number obj is returned.
If obj is a string, Specie parsing will be attempted (e.g., Mn2+), failing
which Element parsing will be attempted (e.g., Mn), failing which
DummyElement parsing will be attempted.
Args:
obj (Element/Specie/str/int): An arbitrary object. Supported objects
are actual Element/Specie objects, integers (representing atomic
numbers) or strings (element symbols or species strings).
Returns:
Specie or Element, with a bias for the maximum number of properties
that can be determined.
Raises:
ValueError if obj cannot be converted into an Element or Specie.
"""
if isinstance(obj, (Element, Specie, DummySpecie)):
return obj
if isinstance(obj, (list, tuple)):
return [get_el_sp(o) for o in obj]
try:
c = float(obj)
i = int(c)
i = i if i == c else None
except (ValueError, TypeError):
i = None
if i is not None:
return Element.from_Z(i)
try:
return Specie.from_string(obj)
except (ValueError, KeyError):
try:
return Element(obj)
except (ValueError, KeyError):
try:
return DummySpecie.from_string(obj)
except Exception:
raise ValueError("Can't parse Element or String from type"
" %s: %s." % (type(obj), obj))