Coverage for dynasor / post_processing / neutron_scattering_lengths.py: 100%

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1import json 

2from importlib.resources import files 

3from typing import Optional 

4 

5import numpy as np 

6from pandas import DataFrame 

7from .weights import Weights 

8 

9 

10class NeutronScatteringLengths(Weights): 

11 """This class provides sample weights corresponding to neutron scattering lengths. 

12 By default, the coherent and incoherent scattering lengths are weighted by the natural 

13 abundance of each isotope of the considered atomic species. 

14 This weighting can be overwritten using the :attr:`abundances` argument. 

15 

16 The scattering lengths have been extracted from `this NIST 

17 database <https://www.ncnr.nist.gov/resources/n-lengths/list.html>`__, 

18 which in turn have been taken from Table 1 of Neutron News **3**, 26 (1992); 

19 `doi: 10.1080/10448639208218770 <https://doi.org/10.1080/10448639208218770>`_. 

20 

21 Parameters 

22 ---------- 

23 atom_types 

24 List of atomic species for which to retrieve scattering lengths. 

25 abundances 

26 Dict of the desired fractional abundance of each isotope for 

27 each species in the sample. For example, to use an equal 

28 weighting of all isotopes of oxygen, one can write 

29 ``abundances['O'] = dict(16=1/3, 17=1/3, 18=1/3)``. Note that 

30 the abundance for any isotopes that are *not* included in this 

31 dict is automatically set to zero. In other words, you need to 

32 ensure that the abundances provided sum up to 1. By default 

33 the neutron scattering lengths are weighted proportionally to 

34 the natural abundance of each isotope. 

35 """ 

36 

37 def __init__( 

38 self, 

39 atom_types: list[str], 

40 abundances: Optional[dict[str, dict[int, float]]] = None, 

41 ): 

42 scat_lengths = _read_scattering_lengths() 

43 

44 # Sub select only the relevant species 

45 scat_lengths = scat_lengths[scat_lengths.species.isin(atom_types)].reset_index() 

46 

47 # Update the abundances if another weighting is desired 

48 if abundances is not None: 

49 for species in abundances: 

50 scat_lengths.loc[scat_lengths.species == species, 'abundance'] = 0 

51 for Z, frac in abundances[species].items(): 

52 match = (scat_lengths.species == species) & (scat_lengths.isotope == Z) 

53 if not np.any(match): # Check if any row+column matches 

54 raise ValueError(f'No match in database for {species} and isotope {Z}') 

55 scat_lengths.loc[match, 'abundance'] = frac 

56 

57 self._scattering_lengths = scat_lengths 

58 

59 # Check if any of the fetched scattering lengths is None, 

60 # indicating that it is missing in the experimental database. 

61 # Only raise an error if the desired abundance is greater than 0. 

62 nan_rows = scat_lengths[scat_lengths.isnull().any(axis=1) & (scat_lengths.abundance > 0.0)] 

63 if not nan_rows.empty: 

64 # Grab first offending entry 

65 row = nan_rows.iloc[0] 

66 raise ValueError(f'{row.isotope}{row.species} is missing tabulated values for either' 

67 ' the coherent or incoherent scattering length.' 

68 ' Adjust the abundance parameter to set the fraction of' 

69 f' {row.isotope}{row.species} to zero.') 

70 

71 # Make sure abundances add up to 100% 

72 by_species = self._scattering_lengths.groupby('species') 

73 for species, species_df in by_species: 

74 if not np.isclose(species_df.abundance.sum(), 1): 

75 raise ValueError(f'Abundance values for {species} do not sum up to 1.0') 

76 

77 # Compute scattering lengths weighted by abundance 

78 weights_coh = by_species.apply( 

79 lambda s: (s.b_coh * s.abundance).sum(), 

80 include_groups=False 

81 ).to_dict() 

82 # First compute the average scattering length, then take the square 

83 # since the incoherent scattering lengths enter as b_incoh**2, but 

84 # dynasor only applies a single weighting factor w_incoh. 

85 weights_inc = by_species.apply( 

86 lambda s: (s.b_inc * s.abundance).sum(), 

87 include_groups=False 

88 ).to_dict() 

89 

90 supports_currents = False 

91 super().__init__(weights_coh, weights_inc, supports_currents) 

92 

93 @property 

94 def abundances(self) -> dict[str, dict[int, float]]: 

95 """Abundances used for calculating scattering lengths.""" 

96 abundance_dict = {} 

97 for (species), species_df in self._scattering_lengths.groupby('species'): 

98 abundance_dict[species] = {} 

99 for (isotope, abundance), _ in species_df.groupby(['isotope', 'abundance']): 

100 abundance_dict[species][isotope] = abundance 

101 return abundance_dict 

102 

103 @property 

104 def parameters(self) -> DataFrame: 

105 """Scattering lengths used to compute the coherent and 

106 incoherent weights for the selected isotopes. 

107 """ 

108 return self._scattering_lengths 

109 

110 

111def _read_scattering_lengths() -> DataFrame: 

112 """ 

113 Extracts the scattering lengths from the file `neutron_scattering_lengths.json` 

114 for each of the supplied species. Scattering lengths are in units of fm. 

115 

116 The scattering lengths have been extracted from the following NIST 

117 database: https://www.ncnr.nist.gov/resources/n-lengths/list.html, 

118 which in turn have been extracted from 

119 Neutron News **3**, No. 3***, 26 (1992). 

120 """ 

121 data_file = files(__package__) / 'form-factors/neutron_scattering_lengths.json' 

122 with open(data_file) as fp: 

123 scattering_lengths = json.load(fp) 

124 

125 data = [] 

126 for species in scattering_lengths: 

127 for isotope in scattering_lengths[species]: 

128 for fld in 'b_coh b_inc'.split(): 

129 val = scattering_lengths[species][isotope][fld] 

130 if 'None' in val: 

131 scattering_lengths[species][isotope][fld] = np.nan 

132 elif 'j' in val: 

133 scattering_lengths[species][isotope][fld] = complex(val) 

134 else: 

135 scattering_lengths[species][isotope][fld] = float(val) 

136 data.append( 

137 dict( 

138 species=species, 

139 isotope=int(isotope), 

140 abundance=float(scattering_lengths[species][isotope]['abundance']) 

141 / 100, # % -> fraction 

142 b_coh=complex(scattering_lengths[species][isotope]['b_coh']), 

143 b_inc=complex(scattering_lengths[species][isotope]['b_inc']), 

144 ) 

145 ) 

146 scattering_lengths = DataFrame.from_dict(data) 

147 return scattering_lengths