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: CuCr2O4 |
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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 | Cu 13.33800 7.16760 5.61580 1.67350 3.58280 0.24700 11.39660 64.81260 1.19100 |
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25 | Cr 10.64060 7.35370 3.32400 1.49220 6.10380 0.39200 20.26260 98.73990 1.18320 |
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26 | O 3.04850 2.28680 1.54630 0.86700 13.27710 5.70110 0.32390 32.90890 0.25080 |
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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 | Cu Nat. Abund. 63.546 0.772 |
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32 | Cr Nat. Abund. 51.996 0.363 |
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33 | O Nat. Abund. 15.999 0.581 |
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34 | |
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35 | Space Group: F d d d |
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36 | The lattice is centrosymmetric F-centered 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 32 |
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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 | (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+ |
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45 | |
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46 | ( 1) X, Y, Z |
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47 | ( 2) -X, 1/4+Y, 1/4+Z |
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48 | ( 3) 1/4+X, -Y, 1/4+Z |
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49 | ( 4) 3/4-X, 1/4-Y, 1/2+Z |
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50 | |
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51 | Atoms: |
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52 | name type refine? x y z frac site sym mult I/A Uiso U11 U22 U33 U12 U13 U23 |
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53 | --------------------------------------------------------------------------------------------------------------------------------------- |
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54 | Cu Cu XU 0.12500 0.12500 0.12500 1.000 222 8 I 0.00015 |
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55 | Cr Cr XU 0.50000 0.50000 0.50000 1.000 -1 16 I 0.00005 |
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56 | O O XU 0.24576 0.26834 0.26731 1.000 1 32 I-0.00419 |
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57 | |
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58 | Unit cell: a = 7.71269 b = 8.54329 c = 8.53643 alpha = 90.000 beta = 90.000 gamma = 90.000 volume = 562.480 Refine? True |
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59 | |
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60 | Spherical harmonics texture: Order:0 |
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61 | |
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62 | Phase name: CuO |
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63 | ======================================================================================================================================= |
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64 | |
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65 | X-ray scattering factors: |
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66 | Symbol fa fb fc |
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67 | --------------------------------------------------------------------------------------------------- |
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68 | Cu+2 11.81680 7.11181 5.78135 1.14523 3.37484 0.24408 7.98760 19.89700 1.14431 |
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69 | O-2 3.76936 2.53342 1.91579 1.55094 15.07970 6.30430 40.34450 0.31291 0.22789 |
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70 | |
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71 | Neutron scattering factors: |
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72 | Symbol isotope mass b resonant terms |
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73 | --------------------------------------------------------------------------------------------------- |
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74 | Cu+2 Nat. Abund. 63.546 0.772 |
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75 | O-2 Nat. Abund. 15.999 0.581 |
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76 | |
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77 | Space Group: C 1 2/c 1 |
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78 | The lattice is centrosymmetric C-centered monoclinic |
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79 | The Laue symmetry is 2/m |
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80 | The lattice point group is 2/m |
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81 | Multiplicity of a general site is 8 |
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82 | The unique monoclinic axis is b |
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83 | The inversion center is located at 0,0,0 |
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84 | |
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85 | The equivalent positions are: |
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86 | |
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87 | (0,0,0; 1/2,1/2,0)+ |
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88 | |
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89 | ( 1) X, Y, Z |
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90 | ( 2) -X, Y, 1/2-Z |
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91 | |
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92 | Atoms: |
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93 | name type refine? x y z frac site sym mult I/A Uiso U11 U22 U33 U12 U13 U23 |
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94 | --------------------------------------------------------------------------------------------------------------------------------------- |
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95 | Cu1 Cu+2 0.25000 0.25000 0.00000 1.000 -1 4 I 0.00100 |
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96 | O1 O-2 0.00000 0.41840 0.25000 1.000 2(y) 4 I 0.00100 |
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97 | |
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98 | Unit cell: a = 4.67959 b = 3.42073 c = 5.12526 alpha = 90.000 beta = 99.828 gamma = 90.000 volume = 80.839 Refine? True |
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99 | |
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100 | Spherical harmonics texture: Order:0 |
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101 | |
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102 | Phase: CuCr2O4 in histogram: PWDR OH_00.fxye Bank 1 |
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103 | ======================================================================================================================================= |
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104 | Phase fraction : 1.0000 Refine? False |
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105 | Extinction coeff: 0.0000 Refine? False |
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106 | March-Dollase PO: 1.0000 Refine? False Axis: 0 0 1 |
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107 | |
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108 | Size model : isotropic equatorial: 3.196 Refine? True |
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109 | LG mixing coeff.: 1.0000 Refine? False |
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110 | |
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111 | Mustrain model: uniaxial equatorial: 1823.4 Refine? True axial: 978.5 Refine? True |
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112 | LG mixing coeff.: 1.0000 Refine? False |
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113 | |
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114 | Hydrostatic/elastic strain: |
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115 | names : D11 D22 D33 |
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116 | values: 0 0 0 |
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117 | refine: False False False |
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118 | Layer Displacement: 0.000 Refine? False |
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119 | |
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120 | Phase: CuO in histogram: PWDR OH_00.fxye Bank 1 |
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121 | ======================================================================================================================================= |
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122 | Phase fraction : 0.0283 Refine? True |
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123 | Extinction coeff: 0.0000 Refine? False |
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124 | March-Dollase PO: 1.0000 Refine? False Axis: 0 0 1 |
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125 | |
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126 | Size model : isotropic equatorial: 1.000 Refine? False |
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127 | LG mixing coeff.: 1.0000 Refine? False |
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128 | |
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129 | Mustrain model: isotropic equatorial: 1000.0 Refine? False |
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130 | LG mixing coeff.: 1.0000 Refine? False |
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131 | |
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132 | Hydrostatic/elastic strain: |
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133 | names : D11 D22 D33 D13 |
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134 | values: 0 0 0 0 |
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135 | refine: False False False False |
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136 | Layer Displacement: 0.000 Refine? False |
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137 | |
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138 | Histogram: PWDR OH_00.fxye Bank 1 histogram Id: 0 |
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139 | ======================================================================================================================================= |
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140 | Instrument type: Debye-Scherrer |
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141 | Histogram limits: 4.68 deg to 26.10 deg |
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142 | |
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143 | Sample Parameters: |
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144 | Goniometer omega = 0.00, chi = 0.00, phi = 0.00 |
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145 | name : Scale Absorption DisplaceX DisplaceY |
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146 | value : 0.5162 0.0000 21.6484 0.0000 |
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147 | refine: True False True False |
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148 | |
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149 | Instrument Parameters: |
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150 | name : Azimuth Bank Lam Polariz. SH/L U V |
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151 | value : 0.000000 1.000000 0.413263 0.990000 0.002000 1.163000 -0.126000 |
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152 | refine: False False False False False False |
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153 | |
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154 | name : W X Y Z Zero |
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155 | value : 0.063000 0.000000 0.000000 0.000000 0.000000 |
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156 | refine: False False False False False |
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157 | |
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158 | Background function: chebyschev-1 Refine? True |
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159 | Coefficients: 12.117 -3.093 -2.064 1.007 -2.356 0.188 |
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160 | |
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161 | Single peak coefficients |
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162 | names : BkPkpos refine? BkPkint refine? BkPksig refine? BkPkgam refine? |
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163 | peak 0: 5.066 True 37197.208 True 14317.430 True 0.100 False |
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164 | |
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165 | Refinement results: |
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166 | --------------------------------------------------------------------------------------------------------------------------------------- |
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167 | Number of function calls: 5 No. of observations: 10708 No. of parameters: 28 User rejected: 0 Sp. gp. extinct: 0 |
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168 | Refinement time = 2.168s, 2.168s/cycle, for 1 cycles |
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169 | wR = 13.99%, chi**2 = 12594.1, GOF = 1.09 |
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170 | |
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171 | Phases: |
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172 | Result for phase: CuCr2O4 |
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173 | ======================================================================================================================================= |
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174 | Reciprocal metric tensor: |
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175 | names : A11 A22 A33 A12 A13 A23 |
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176 | values: 0.016810777 0.013700923 0.013722957 0.000000000 0.000000000 0.000000000 |
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177 | esds : 0.000000151 0.000000125 0.000000148 |
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178 | New unit cell: |
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179 | names : a b c alpha beta gamma Volume |
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180 | values: 7.712694 8.543289 8.536427 90.0000 90.0000 90.0000 562.480 |
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181 | esds : 0.000035 0.000039 0.000046 0.006 |
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182 | |
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183 | Atoms: |
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184 | name x y z frac Uiso U11 U22 U33 U12 U13 U23 |
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185 | --------------------------------------------------------------------------------------------------------------------------------------- |
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186 | Cu Cu: |
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187 | values: 0.12500 0.12500 0.12500 1.000 0.00018 |
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188 | sig : 0.00022 |
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189 | Cr Cr: |
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190 | values: 0.50000 0.50000 0.50000 1.000 0.00008 |
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191 | sig : 0.00023 |
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192 | O O: |
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193 | values: 0.24575 0.26835 0.26730 1.000-0.00419 |
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194 | sig : 0.00022 0.00042 0.00045 0.00048 |
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195 | |
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196 | Density: 5.468230.4 g/cm**3 |
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197 | Result for phase: CuO |
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198 | ======================================================================================================================================= |
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199 | Reciprocal metric tensor: |
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200 | names : A11 A22 A33 A12 A13 A23 |
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201 | values: 0.047035002 0.085458418 0.039210963 0.000000000 0.014659677 0.000000000 |
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202 | esds : 0.000007356 0.000013335 0.000007412 0.000008278 |
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203 | New unit cell: |
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204 | names : a b c alpha beta gamma Volume |
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205 | values: 4.679605 3.420760 5.125261 90.0000 99.8273 90.0000 80.840 |
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206 | esds : 0.001025 0.000267 0.001246 0.0056 0.007 |
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207 | |
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208 | Atoms: |
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209 | name x y z frac Uiso U11 U22 U33 U12 U13 U23 |
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210 | --------------------------------------------------------------------------------------------------------------------------------------- |
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211 | Cu1 Cu+2: |
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212 | values: 0.25000 0.25000 0.00000 1.000 0.00100 |
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213 | sig : |
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214 | O1 O-2: |
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215 | values: 0.00000 0.41840 0.25000 1.000 0.00100 |
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216 | sig : |
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217 | |
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218 | Density: 6.535732.4 g/cm**3 |
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219 | |
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220 | Phase: CuCr2O4 in histogram: PWDR OH_00.fxye Bank 1 |
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221 | ======================================================================================================================================= |
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222 | Final refinement RF, RF^2 = 3.68%, 7.31% on 102 reflections |
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223 | Durbin-Watson statistic = 0.776 |
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224 | Bragg intensity sum = 4.25e+05 |
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225 | |
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226 | Size model: isotropic equatorial: 3.19039, sig: 0.4131 LG mix coeff.: 1.0000 |
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227 | |
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228 | Mustrain model: uniaxial |
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229 | equatorial: 1823.3, sig: 19.8 axial: 978.3, sig: 15.6 LG mix coeff.: 1.0000 |
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230 | |
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231 | Phase: CuO in histogram: PWDR OH_00.fxye Bank 1 |
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232 | ======================================================================================================================================= |
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233 | Final refinement RF, RF^2 = 23.01%, 57.96% on 55 reflections |
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234 | Durbin-Watson statistic = 0.776 |
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235 | Bragg intensity sum = 2.56e+03 |
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236 | Phase fraction : 0.02829, sig 0.00108 Weight fraction : 0.00484, sig 0.00018 |
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237 | |
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238 | Histogram: PWDR OH_00.fxye Bank 1 histogram Id: 0 |
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239 | ======================================================================================================================================= |
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240 | PWDR histogram weight factor = 1.000 |
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241 | Final refinement wR = 13.99% on 10708 observations in this histogram |
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242 | Other residuals: R = 10.32%, R-bkg = 8.87%, wR-bkg = 13.99% wRmin = 12.90% |
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243 | Instrument type: Debye-Scherrer |
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244 | |
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245 | Resonant form factors:(ref: D.T. Cromer & D.A. Liberman (1981), Acta Cryst. A37, 267-268.) |
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246 | Element: Cu Cr O Cu+2 O-2 |
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247 | f' : 0.244 0.162 0.002 0.244 0.002 |
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248 | f" : 0.471 0.222 0.002 0.471 0.002 |
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249 | |
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250 | Sample Parameters: |
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251 | names : Scale Absorption DisplaceX DisplaceY |
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252 | values: 0.5165 0.0000 21.6424 0.0000 |
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253 | sig : 0.0016 1.5933 |
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254 | |
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255 | Background function: chebyschev-1 |
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256 | value : 12.03 -2.919 -2.199 1.104 -2.409 0.2122 |
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257 | sig : 0.8414 1.604 1.269 0.9119 0.4867 0.2409 |
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258 | |
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259 | Single peak coefficients: |
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260 | peak no. BkPkpos esd BkPkint esd BkPksig esd BkPkgam esd |
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261 | 0 5.0589 0.1482 37660.928 9942.746 14428.059 2616.655 0.100 |
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262 | Background sums: empirical 1.38e+05, Debye 0, peaks 3.77e+04, Total 1.76e+05 |
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