1 | ******************************************************************************** |
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2 | General Structure Analysis System-II Crystal Structure Refinement |
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3 | by Robert B. Von Dreele & Brian H. Toby |
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4 | Argonne National Laboratory(C), 2010 |
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5 | This product includes software developed by the UChicago Argonne, LLC, |
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6 | as Operator of Argonne National Laboratory. |
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7 | Please cite: |
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8 | B.H. Toby & R.B. Von Dreele, J. Appl. Cryst. 46, 544-549 (2013) |
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9 | ******************************************************************************** |
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10 | Least squares controls: |
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11 | Refinement type: analytic Hessian |
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12 | Maximum number of cycles: 3 |
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13 | Regularize hydrogens (if any): False |
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14 | Initial shift factor: 1.000 |
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15 | |
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16 | Phases: |
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17 | |
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18 | Phase name: La Mn O3 |
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19 | ======================================================================================================================================= |
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20 | |
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21 | X-ray scattering factors: |
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22 | Symbol fa fb fc |
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23 | --------------------------------------------------------------------------------------------------- |
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24 | Mn 11.28190 7.35730 3.01930 2.24410 5.34090 0.34320 17.86740 83.75430 1.08960 |
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25 | O 3.04850 2.28680 1.54630 0.86700 13.27710 5.70110 0.32390 32.90890 0.25080 |
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26 | La 20.57800 19.59900 11.37270 3.28719 2.94817 0.24447 18.77260 133.12400 2.14678 |
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27 | |
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28 | Neutron scattering factors: |
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29 | Symbol isotope mass b resonant terms |
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30 | --------------------------------------------------------------------------------------------------- |
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31 | Mn Nat. Abund. 54.938 -0.375 |
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32 | O Nat. Abund. 15.999 0.581 |
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33 | La Nat. Abund. 138.906 0.824 |
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34 | |
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35 | Space Group: P n m a |
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36 | The lattice is centrosymmetric primitive orthorhombic |
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37 | The Laue symmetry is mmm |
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38 | The lattice point group is mmm |
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39 | Multiplicity of a general site is 8 |
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40 | The inversion center is located at 0,0,0 |
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41 | |
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42 | The equivalent positions are: |
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43 | |
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44 | ( 1) X, Y, Z |
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45 | ( 2) 1/2-X, 1/2+Y, 1/2+Z |
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46 | ( 3) X, 1/2-Y, Z |
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47 | ( 4) 1/2-X, -Y, 1/2+Z |
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48 | |
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49 | Atoms: |
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50 | name type refine? x y z frac site sym mult I/A Uiso U11 U22 U33 U12 U13 U23 |
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51 | --------------------------------------------------------------------------------------------------------------------------------------- |
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52 | La1 La XU 0.04863 0.25000 -0.00799 1.000 m(y) 4 I 0.00286 |
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53 | Mn2 Mn XU 0.00000 0.00000 0.50000 1.000 -1 4 I 0.00295 |
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54 | O3 O XU 0.48786 0.25000 0.07435 1.000 m(y) 4 I 0.00411 |
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55 | O4 O XU 0.30511 0.03861 0.72480 1.000 1 8 I 0.00450 |
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56 | |
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57 | Unit cell: a = 5.73272 b = 7.67369 c = 5.53545 alpha = 90.000 beta = 90.000 gamma = 90.000 volume = 243.510 Refine? True |
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58 | |
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59 | Spherical harmonics texture: Order:0 |
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60 | |
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61 | Phase name: La Mn O3 mag |
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62 | ======================================================================================================================================= |
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63 | |
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64 | X-ray scattering factors: |
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65 | Symbol fa fb fc |
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66 | --------------------------------------------------------------------------------------------------- |
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67 | Mn 11.28190 7.35730 3.01930 2.24410 5.34090 0.34320 17.86740 83.75430 1.08960 |
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68 | |
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69 | Neutron scattering factors: |
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70 | Symbol isotope mass b resonant terms |
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71 | --------------------------------------------------------------------------------------------------- |
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72 | Mn Nat. Abund. 54.938 -0.375 |
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73 | |
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74 | <j0> Magnetic scattering factors: |
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75 | Symbol mfa mfb mfc |
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76 | --------------------------------------------------------------------------------------------------- |
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77 | Mn 0.24380 0.14720 0.61890 0.00000 24.96300 15.67300 6.54000 0.00000 -0.01050 |
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78 | |
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79 | <j2> Magnetic scattering factors: |
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80 | Symbol nfa nfb nfc |
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81 | --------------------------------------------------------------------------------------------------- |
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82 | Mn 2.66810 1.75610 0.36750 0.00000 16.06000 5.64000 2.04900 0.00000 0.00170 |
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83 | |
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84 | Space Group: P n m a |
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85 | The lattice is centrosymmetric primitive orthorhombic |
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86 | The Laue symmetry is mmm |
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87 | The lattice point group is mmm |
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88 | Multiplicity of a general site is 8 |
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89 | The inversion center is located at 0,0,0 |
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90 | |
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91 | The equivalent positions are: |
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92 | |
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93 | ( 1) X, Y, Z |
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94 | ( 2) 1/2-X, 1/2+Y, 1/2+Z |
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95 | ( 3) X, 1/2-Y, Z |
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96 | ( 4) 1/2-X, -Y, 1/2+Z |
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97 | |
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98 | Atoms: |
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99 | name type refine? x y z frac site sym mult I/A Uiso U11 U22 U33 U12 U13 U23 |
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100 | --------------------------------------------------------------------------------------------------------------------------------------- |
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101 | Mn2 Mn UM 0.00000 0.00000 0.50000 1.000 -1 4 I 0.00295 |
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102 | |
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103 | Magnetic moments: |
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104 | name type refine? Mx My Mz |
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105 | --------------------------------------------------------------------------------------------------------------------------------------- |
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106 | Mn2 Mn UM 3.65863 0.00000 0.00000 |
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107 | |
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108 | Unit cell: a = 5.73272 b = 7.67369 c = 5.53545 alpha = 90.000 beta = 90.000 gamma = 90.000 volume = 243.510 Refine? True |
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109 | |
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110 | Spherical harmonics texture: Order:0 |
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111 | |
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112 | Phase: La Mn O3 in histogram: PWDR LaMnO3_50k.gsas Bank 1 |
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113 | ======================================================================================================================================= |
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114 | Phase fraction : 1.0000 Refine? False |
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115 | Extinction coeff: 0.0000 Refine? False |
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116 | March-Dollase PO: 1.0000 Refine? False Axis: 0 0 1 |
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117 | |
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118 | Size model : isotropic equatorial: 1.000 Refine? False |
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119 | LG mixing coeff.: 1.0000 Refine? False |
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120 | |
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121 | Mustrain model: isotropic equatorial: 1000.0 Refine? False |
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122 | LG mixing coeff.: 1.0000 Refine? False |
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123 | |
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124 | Hydrostatic/elastic strain: |
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125 | names : D11 D22 D33 |
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126 | values: 0 0 0 |
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127 | refine: False False False |
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128 | |
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129 | Phase: La Mn O3 mag in histogram: PWDR LaMnO3_50k.gsas Bank 1 |
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130 | ======================================================================================================================================= |
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131 | Phase fraction : 1.0000 Refine? 0.0 |
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132 | Extinction coeff: 0.0000 Refine? False |
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133 | March-Dollase PO: 1.0000 Refine? False Axis: 0 0 1 |
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134 | |
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135 | Size model : isotropic equatorial: 1.000 Refine? False |
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136 | LG mixing coeff.: 1.0000 Refine? False |
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137 | |
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138 | Mustrain model: isotropic equatorial: 1000.0 Refine? False |
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139 | LG mixing coeff.: 1.0000 Refine? False |
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140 | |
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141 | Hydrostatic/elastic strain: |
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142 | names : D11 D22 D33 |
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143 | values: 0 0 0 |
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144 | refine: False False False |
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145 | |
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146 | Histogram: PWDR LaMnO3_50k.gsas Bank 1 histogram Id: 0 |
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147 | ======================================================================================================================================= |
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148 | Instrument type: Debye-Scherrer |
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149 | Histogram limits: 6.00 deg to 156.00 deg |
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150 | |
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151 | Sample Parameters: |
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152 | Goniometer omega = 0.00, chi = 0.00, phi = 0.00 |
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153 | name : Scale Absorption DisplaceX DisplaceY |
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154 | value : 5154.5990 0.0000 76.7379 -146.1147 |
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155 | refine: True False True True |
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156 | |
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157 | Instrument Parameters: |
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158 | name : Azimuth Bank Lam Polariz. SH/L U V |
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159 | value : 0.000000 1.000000 1.540300 0.000000 0.052843 239.700000 -298.200000 |
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160 | refine: False False False True False False |
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161 | |
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162 | name : W X Y Z Zero |
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163 | value : 180.800000 0.000000 0.000000 0.000000 0.000400 |
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164 | refine: False False False False False |
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165 | |
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166 | Background function: chebyschev Refine? True |
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167 | Coefficients: 194.248 -24.226 66.587 -152.276 2.499 106.669 |
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168 | |
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169 | Refinement results: |
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170 | --------------------------------------------------------------------------------------------------------------------------------------- |
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171 | Number of function calls: 3 No. of observations: 3001 No. of parameters: 25 User rejected: 0 Sp. gp. extinct: 0 |
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172 | Refinement time = 6.267s, 6.267s/cycle, for 1 cycles |
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173 | wR = 6.29%, chi**2 = 4855.3, GOF = 1.28 |
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174 | ---------------------------------------------------------------------------------------------------------------------------------- |
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175 | Variables generated by constraints |
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176 | |
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177 | name : 1::AUiso:0 1::A0 1::A1 1::A2 |
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178 | value : 0.0030 0.0304 0.0170 0.0326 |
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179 | sig : 0.0004 0.0000 0.0000 0.0000 |
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180 | |
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181 | Phases: |
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182 | Result for phase: La Mn O3 |
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183 | ======================================================================================================================================= |
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184 | Reciprocal metric tensor: |
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185 | names : A11 A22 A33 A12 A13 A23 |
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186 | values: 0.030428398 0.016982113 0.032635799 0.000000000 0.000000000 0.000000000 |
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187 | esds : 0.000001132 0.000000662 0.000001216 |
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188 | New unit cell: |
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189 | names : a b c alpha beta gamma Volume |
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190 | values: 5.732716 7.673688 5.535449 90.0000 90.0000 90.0000 243.510 |
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191 | esds : |
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192 | |
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193 | Atoms: |
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194 | name x y z frac Uiso U11 U22 U33 U12 U13 U23 |
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195 | --------------------------------------------------------------------------------------------------------------------------------------- |
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196 | La1 La: |
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197 | values: 0.04863 0.25000 -0.00799 1.000 0.00286 |
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198 | sig : 0.00018 0.00022 0.00023 |
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199 | Mn2 Mn: |
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200 | values: 0.00000 0.00000 0.50000 1.000 0.00296 |
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201 | sig : 0.000 0.00043 |
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202 | O3 O: |
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203 | values: 0.48786 0.25000 0.07436 1.000 0.00411 |
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204 | sig : 0.00026 0.00026 0.00032 |
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205 | O4 O: |
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206 | values: 0.30510 0.03861 0.72480 1.000 0.00450 |
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207 | sig : 0.00018 0.00014 0.00019 0.00023 |
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208 | Result for phase: La Mn O3 mag |
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209 | ======================================================================================================================================= |
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210 | Reciprocal metric tensor: |
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211 | names : A11 A22 A33 A12 A13 A23 |
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212 | values: 0.030428398 0.016982113 0.032635799 0.000000000 0.000000000 0.000000000 |
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213 | esds : 0.000001132 0.000000662 0.000001216 |
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214 | New unit cell: |
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215 | names : a b c alpha beta gamma Volume |
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216 | values: 5.732716 7.673688 5.535449 90.0000 90.0000 90.0000 243.510 |
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217 | esds : 0.000107 0.000150 0.000103 0.011 |
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218 | |
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219 | Atoms: |
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220 | name x y z frac Uiso U11 U22 U33 U12 U13 U23 |
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221 | --------------------------------------------------------------------------------------------------------------------------------------- |
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222 | Mn2 Mn: |
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223 | values: 0.00000 0.00000 0.50000 1.000 0.00296 |
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224 | sig : 0.00043 |
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225 | |
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226 | Magnetic Moments: |
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227 | name Mx My Mz |Mag| |
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228 | --------------------------------------------------------------------------------------------------------------------------------------- |
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229 | Mn2 Mn: |
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230 | values: 3.657 0.000 0.000 3.657 |
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231 | sig : 0.014 |
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232 | |
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233 | Phase: La Mn O3 in histogram: PWDR LaMnO3_50k.gsas Bank 1 |
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234 | ======================================================================================================================================= |
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235 | Final refinement RF, RF^2 = 2.52%, 3.48% on 275 reflections |
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236 | Durbin-Watson statistic = 0.759 |
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237 | Bragg intensity sum = 5.22e+05 |
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238 | |
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239 | Phase: La Mn O3 mag in histogram: PWDR LaMnO3_50k.gsas Bank 1 |
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240 | ======================================================================================================================================= |
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241 | Final refinement RF, RF^2 = 6.37%, 24.23% on 170 reflections |
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242 | Durbin-Watson statistic = 0.759 |
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243 | Bragg intensity sum = 5.6e+04 |
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244 | Phase fraction : 1.00000, sig 0.00000 Weight fraction : 0.00000, sig 0.00000 |
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245 | |
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246 | Histogram: PWDR LaMnO3_50k.gsas Bank 1 histogram Id: 0 |
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247 | ======================================================================================================================================= |
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248 | PWDR histogram weight factor = 1.000 |
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249 | Final refinement wR = 6.29% on 3001 observations in this histogram |
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250 | Other residuals: R = 4.86%, R-bkg = 4.33%, wR-bkg = 6.29% wRmin = 4.95% |
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251 | Instrument type: Debye-Scherrer |
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252 | |
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253 | Sample Parameters: |
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254 | names : Scale Absorption DisplaceX DisplaceY |
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255 | values: 5155.2154 0.0000 77.5575 -146.1529 |
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256 | sig : 25.3179 35.0433 44.4219 |
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257 | |
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258 | Instrument Parameters: |
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259 | names : Bank Lam Polariz. SH/L U V |
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260 | value : 1.000000 1.540300 0.000000 0.052817 239.700000 -298.200000 |
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261 | sig : 0.000935 |
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262 | |
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263 | Instrument Parameters: |
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264 | names : W X Y Z Zero |
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265 | value : 180.800000 0.000000 0.000000 0.000000 0.000400 |
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266 | sig : |
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267 | |
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268 | Background function: chebyschev |
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269 | value : 194.2 -24.19 67 -153.1 2.229 107.3 |
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270 | sig : 0.786 3.07 5.337 12.67 6.334 11.83 |
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271 | Background sums: empirical 6.51e+05, Debye 0, peaks 0, Total 6.51e+05 |
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