Model III: Data for Aqueous H+ - Na+ - Cl

The System

The sources of data used to determine mixture parameters W, Q and U in the activity coefficient equations for this ternary (3 ion) system are listed in Table 9 of Clegg et al. (1998b). Fits of the model are described in section 3.11 of that paper. The following types of data were used:
  1. Solubilities of the solid NaCl(s) in the ternary solution.
  2. Electromotive force measurements of the mean activity coefficient of HCl.
References: S. L. Clegg, P. Brimblecombe and A. S. Wexler (1998b) J. Phys. Chem. A 102, 2155-2171.

Weights

The values listed in the tables below are based upon those used in the fits of the model. However, they have been normalised for each type of measurement so that the maximum weight for a data point in each table is always unity. Points given zero weight are those which either appear to be in error, or are used for comparison only (and were not fitted). Points with a weight of "-" are outside the temperature or concentration limits of the current model, and have not been assessed for accuracy.

The Data

The experimental data used to fit the activity coefficient model are listed in the tables below. Notes at the end of each one define the tabulated quantities, and identify the sources of the measurements.


(1) Solubilities of Solid Phases

  mHCl    mNaCl     t     solid   ref.       weight      
  0.000   6.119  10.25      1    a(956)        -         
  2.697   5.773  10.25      1    a(956)        -         
  3.498   5.679  10.25      1    a(956)        -         
  4.297   5.595  10.25      1    a(956)        -         
  5.698   5.434  10.25      1    a(956)        -         
  7.145   5.285  10.25      1    a(956)        -         
 25.989   3.425  10.25      1    a(956)        -         
 27.990   3.257  10.25      1    a(956)        -         
 33.065   2.740  10.25      1    a(956)        -         
  0.000   6.160  30.0       1    a(957)        -         
  2.471   3.595  30.0       1    a(957)        -         
  4.387   2.047  30.0       1    a(957)        -         
  6.091   0.990  30.0       1    a(957)        -         
 15.187   0.029  30.0       1    a(957)        -         
 15.436   0.235  25.0       1    a(966)       0.0        
  1.676   4.573  25.0       1    a(966)       0.0        
  0.000   6.144  25.0       1    a(966)       1.0                                       
  0.000   6.075   0.0       1    a(967)        -         
  8.129   0.258   0.0       1    a(967)        -         
 10.046   0.096   0.0       1    a(967)        -         
 17.549   0.013   0.0       1    a(967)        -                                        
 21.475   0.010   0.0       1    a(967)        -         
 22.003   0.010   0.0       1    a(967)        -         
  0.000   6.097  30.0       1    a(968)        -         
  0.516   5.569  30.0       1    a(968)        -         
  1.089   4.939  30.0       1    a(968)        -                                     
  2.011   4.040  30.0       1    a(968)        -         
  2.709   3.349  30.0       1    a(968)        -         
  3.436   2.776  30.0       1    a(968)        -         
  4.705   1.843  30.0       1    a(968)        -         
  6.873   0.728  30.0       1    a(968)        -         
  8.500   0.316  30.0       1    a(968)        -         
  0.000   6.141  25.0       1    a(969)       0.0        
  1.490   5.548  25.0       1    a(969)       0.0        
  4.604   4.295  25.0       1    a(969)       0.0        
  7.104   3.313  25.0       1    a(969)       0.0        
  9.857   2.214  25.0       1    a(969)       0.0             
 15.425   0.306  25.0       1    a(969)       0.0                                       
 15.427   0.000  25.0       1    a(969)       0.0                                       
  0.000   6.160  25.0       1    a(970)       1.0                                       
  1.088   4.988  25.0       1    a(970)       1.0                                       
  1.813   4.243  25.0       1    a(970)       1.0                                       
  2.527   3.583  25.0       1    a(970)       1.0                                       
  3.144   2.994  25.0       1    a(970)       1.0                                       
  3.560   2.636  25.0       1    a(970)       1.0                                       
  3.838   2.460  25.0       1    a(970)       1.0                                       
  4.104   2.193  25.0       1    a(970)       1.0                                       
  4.677   1.796  25.0       1    a(970)       1.0                                       
  5.029   1.585  25.0       1    a(970)       1.0                                       
  5.997   1.054  25.0       1    a(970)       1.0                                       
  6.671   0.783  25.0       1    a(970)       1.0                                       
  7.236   0.591  25.0       1    a(970)       1.0                                       
  8.353   0.335  25.0       1    a(970)       1.0      
  8.559   0.321  25.0       1    a(970)       1.0      
 10.021   0.158  25.0       1    a(970)       0.0      
 11.714   0.081  25.0       1    a(970)       0.0      
 11.918   0.074  25.0       1    a(970)       0.0      
  0.000   6.097   0.0       1    a(971)        -       
  0.915   5.057   0.0       1    a(971)        -                                        
  1.278   4.615   0.0       1    a(971)        -                                        
  1.752   4.105   0.0       1    a(971)        -                                        
  2.267   3.610   0.0       1    a(971)        -                                        
  2.262   3.602   0.0       1    a(971)        -                                        
  2.938   2.931   0.0       1    a(971)        -                                        
  3.874   2.131   0.0       1    a(971)        -                                        
  4.900   1.391   0.0       1    a(971)        -                                        
  5.597   0.993   0.0       1    a(971)        -                                        
  6.056   0.776   0.0       1    a(971)        -                                        
  6.509   0.614   0.0       1    a(971)        -                                        
  6.987   0.478   0.0       1    a(971)        -                                        
  7.374   0.375   0.0       1    a(971)        -                                        
  7.850   0.283   0.0       1    a(971)        -                                        
  9.428   0.127   0.0       1    a(971)        -                                        
  9.925   0.098   0.0       1    a(971)        -                                        
 10.236   0.085   0.0       1    a(971)        -                                        
 13.619   0.023   0.0       1    a(971)        -                                        
 16.082   0.016   0.0       1    a(971)        -                                        
 18.650   0.012   0.0       1    a(971)        -                                        
  0.000   6.147  20.0       1    a(971)        -                                        
  0.219   5.925  20.0       1    a(971)        -                                        
  0.919   5.149  20.0       1    a(971)        -                                        
  1.996   4.040  20.0       1    a(971)        -                                        
  3.557   2.618  20.0       1    a(971)        -                                        
  5.420   1.338  20.0       1    a(971)        -                                        
  5.527   1.266  20.0       1    a(971)        -                                        
  7.031   0.635  20.0       1    a(971)        -                                        
  7.137   0.612  20.0       1    a(971)        -                                        
 10.677   0.119  20.0       1    a(971)        -                                        
 11.094   0.101  20.0       1    a(971)        -                                        
 11.352   0.095  20.0       1    a(971)        -                                        
 12.075   0.072  20.0       1    a(971)        -                                        
 15.196   0.032  20.0       1    a(971)        -                                        
 16.856   0.025  20.0       1    a(971)        -                                        
  0.000   6.201  35.0       1    a(971)        -                                        
  1.416   4.714  35.0       1    a(971)        -                                        
  5.392   1.468  35.0       1    a(971)        -                                        
  5.530   1.373  35.0       1    a(971)        -                                        
  6.194   1.032  35.0       1    a(971)        -                                        
  6.934   0.748  35.0       1    a(971)        -                                        
  7.024   0.717  35.0       1    a(971)        -                                        
  8.386   0.384  35.0       1    a(971)        -                                        
 10.056   0.184  35.0       1    a(971)        -                                        
 11.363   0.112  35.0       1    a(971)        -                                        
 12.754   0.073  35.0       1    a(971)        -                                        
 13.130   0.066  35.0       1    a(971)        -                                        
 14.149   0.055  35.0       1    a(971)        -                                        
 14.580   0.045  35.0       1    a(971)        -                                        
 15.175   0.045  35.0       1    a(971)        -                                        
 17.157   0.031  35.0       1    a(971)        -                                        
 17.772   0.028  35.0       1    a(971)        -                                        
  0.000   6.261  45.0       1    a(971)        -                                        
  2.527   3.738  45.0       1    a(971)        -                                        
  3.602   2.803  45.0       1    a(971)        -                                        
  4.348   2.232  45.0       1    a(971)        -                                        
  4.916   1.841  45.0       1    a(971)        -                                        
  6.109   1.159  45.0       1    a(971)        -                                        
  6.941   0.835  45.0       1    a(971)        -                                        
  7.724   0.599  45.0       1    a(971)        -                                        
  8.650   0.408  45.0       1    a(971)        -                                        
  9.874   0.259  45.0       1    a(971)        -                                        
 10.617   0.203  45.0       1    a(971)        -                                        
 12.712   0.088  45.0       1    a(971)        -                                        
 14.947   0.056  45.0       1    a(971)        -                                        
 15.019   0.056  45.0       1    a(971)        -                                        
 16.379   0.044  45.0       1    a(971)        -                                        
 16.474   0.041  45.0       1    a(971)        -                                        
  0.000   6.173   0.0       1    a(955)        -                                        
  0.113   6.036   0.0       1    a(955)        -                                        
  0.208   5.862   0.0       1    a(955)        -                                        
  0.571   5.439   0.0       1    a(955)        -                                        
  1.037   4.918   0.0       1    a(955)        -                                        
  1.680   4.239   0.0       1    a(955)        -                                        
  3.444   2.628   0.0       1    a(955)        -                                        
  6.419   0.702   0.0       1    a(955)        -                                        
  0.000   6.101  30.0       1    a(959)        -                                        
  0.518   5.576  30.0       1    a(959)        -                                        
  1.092   4.944  30.0       1    a(959)        -                                        
  2.013   4.044  30.0       1    a(959)        -                                        
  2.716   3.353  30.0       1    a(959)        -                                        
  3.444   2.779  30.0       1    a(959)        -                                        
  4.710   1.846  30.0       1    a(959)        -                                        
  6.888   0.728  30.0       1    a(959)        -                                        
  8.511   0.317  30.0       1    a(959)        -                                        
  0.000   6.177  25.0       1    a(962)       1.0                                       
  0.570   5.533  25.0       1    a(962)       1.0                                       
  1.004   5.080  25.0       1    a(962)       1.0                                       
  2.564   3.564  25.0       1    a(962)       1.0                                       
  3.609   2.616  25.0       1    a(962)       1.0                                       
  3.954   2.356  25.0       1    a(962)       1.0                                       
  4.341   2.036  25.0       1    a(962)       1.0                                       
  5.130   1.520  25.0       1    a(962)       1.0                                       
  6.035   1.042  25.0       1    a(962)       1.0                                       
  7.092   0.632  25.0       1    a(962)       1.0                                       
  8.371   0.347  25.0       1    a(962)       1.0                                       
  9.621   0.191  25.0       1    a(962)       0.0                                       
 11.508   0.113  25.0       1    a(962)       0.0                                       
 19.002   0.024  25.0       1    a(962)       0.0                                       
  1.000   4.983   0.0       1    a(958)        -                                        
  0.500   5.552   0.0       1    a(958)        -                                        
  0.250   5.847   0.0       1    a(958)        -                                        
  0.000   6.292   0.0       1    a(958)        -                                        
  5.000   1.538  25.0       1    a(958)       1.0                                       
  1.001   5.096  25.0       1    a(958)       1.0                                       
  0.499   5.629  25.0       1    a(958)       1.0                                       
  0.250   5.862  25.0       1    a(958)       1.0                                       
  0.000   6.186  25.0       1    a(958)       1.0                                       
  0.000   6.122   0.0       1    a(965)        -                                        
  0.251   5.848   0.0       1    a(965)        -                                        
  0.504   5.548   0.0       1    a(965)        -                                        
  1.018   4.985   0.0       1    a(965)        -                                        
  0.000   6.175  25.0       1    a(965)       1.0                                       
  0.252   5.895  25.0       1    a(965)       1.0                                       
  0.506   5.940  25.0       1    a(965)       0.0                                       
  1.022   5.106  25.0       1    a(965)       1.0                                       
  5.573   1.559  25.0       1    a(965)       0.0                                       
 16.000   0.044  25.0       1    a(964)       0.0          
 15.000   0.055  25.0       1    a(964)       0.0                                       
 14.000   0.067  25.0       1    a(964)       0.0                                       
 13.000   0.082  25.0       1    a(964)       0.0                                       
 12.000   0.100  25.0       1    a(964)       0.0                                       
 11.000   0.126  25.0       1    a(964)       0.0                                       
 10.000   0.167  25.0       1    a(964)       0.0                                       
  9.000   0.243  25.0       1    a(964)       1.0                                       
  8.000   0.389  25.0       1    a(964)       1.0                                       
  7.000   0.635  25.0       1    a(964)       1.0                                       
  6.000   1.020  25.0       1    a(964)       1.0                                       
  5.000   1.560  25.0       1    a(964)       1.0                                       
  4.000   2.261  25.0       1    a(964)       1.0                                       
  3.000   3.100  25.0       1    a(964)       1.0                                       
  2.000   4.054  25.0       1    a(964)       1.0                                       
  1.000   5.096  25.0       1    a(964)       1.0                                       
  0.500   5.631  25.0       1    a(964)       1.0                                       
  0.000   6.162  25.0       1    a(964)       1.0                                       
  0.126   0.126  -0.925     0    a(963)        -                                        
  0.253   0.253  -1.838     0    a(963)        -                                        
  0.510   0.510  -3.795     0    a(963)        -                                        
  0.771   0.771  -6.047     0    a(963)        -                                        
  1.042   1.042  -8.572     0    a(963)        -                                        
  1.315   1.315 -11.465     0    a(963)        -   
  1.595   1.595 -14.645     0    a(963)        -   
  1.287   0.258  -6.498     0    a(963)        -   
  1.031   0.515  -6.107     0    a(963)        -    
  0.517   1.035  -5.755     0    a(963)        -    
  0.258   1.289  -5.574     0    a(963)        -    
  0.511   0.510  -3.795     0    a(963)        -    
  1.042   1.042  -8.572     0    a(963)        -    
  0.0000  6.130   18.0      1      b           -   
  0.0594  6.071   18.0      1      b           -   
  0.1179  6.009   18.0      1      b           -   
  0.2374  5.876   18.0      1      b           -   
  0.4851  5.577   18.0      1      b           -   
  1.2260  4.771   18.0      1      b           -   
  2.3426  5.463   18.0      1      b           -   
  3.4177  2.627   18.0      1      b           -   
  4.5286  1.788   18.0      1      b           -   
  0.0000  6.093   30.0      1      c           -   
  0.5166  5.569   30.0      1      c           -   
  1.0907  4.937   30.0      1      c           -   
  2.0103  4.040   30.0      1      c           -   
  2.7125  3.349   30.0      1      c           -   
  3.4390  2.775   30.0      1      c           -   
  4.7055  1.845   30.0      1      c           -   
  6.8783  0.728   30.0      1      c           -   
  8.5021  0.316   30.0      1      c           -   
Notes and References


(2) Mean Activity Coefficients of HCl

  mHCl    mNaCl     t     gamma   ref.      weight       
  0.1000  0.9000   0.0    0.7726   d          -         
  0.1111  0.8889   0.0    0.7734   d          -         
  0.1250  0.8750   0.0    0.7744   d          -         
  0.1429  0.8571   0.0    0.7758   d          -         
  0.1667  0.8333   0.0    0.7775   d          -         
  0.2000  0.8000   0.0    0.7800   d          -         
  0.2500  0.7500   0.0    0.7837   d          -         
  0.3333  0.6667   0.0    0.7900   d          -         
  0.5000  0.5000   0.0    0.8027   d          -         
  1.0000  0.0000   0.0    0.8420   d          -         
  0.1000  0.9000  10.0    0.7674   d          -         
  0.1111  0.8889  10.0    0.7682   d          -         
  0.1250  0.8750  10.0    0.7691   d          -         
  0.1429  0.8571  10.0    0.7703   d          -         
  0.1667  0.8333  10.0    0.7719   d          -         
  0.2000  0.8000  10.0    0.7741   d          -         
  0.2500  0.7500  10.0    0.7775   d          -         
  0.3333  0.6667  10.0    0.7831   d          -         
  0.5000  0.5000  10.0    0.7944   d          -         
  1.0000  0.0000  10.0    0.8295   d          -         
  0.1000  0.9000  20.0    0.7615   d          -         
  0.1111  0.8889  20.0    0.7621   d          -         
  0.1250  0.8750  20.0    0.7629   d          -         
  0.1429  0.8571  20.0    0.7640   d          -         
  0.1667  0.8333  20.0    0.7654   d          -         
  0.2000  0.8000  20.0    0.7674   d          -         
  0.2500  0.7500  20.0    0.7703   d          -         
  0.3333  0.6667  20.0    0.7753   d          -         
  0.5000  0.5000  20.0    0.7853   d          -         
  1.0000  0.0000  20.0    0.8162   d          -         
  0.1000  0.9000  25.0    0.7578   d          1.0         
  0.1111  0.8889  25.0    0.7584   d          1.0         
  0.1250  0.8750  25.0    0.7592   d          1.0         
  0.1429  0.8571  25.0    0.7602   d          1.0         
  0.1667  0.8333  25.0    0.7615   d          1.0         
  0.2000  0.8000  25.0    0.7633   d          1.0         
  0.2500  0.7500  25.0    0.7661   d          1.0         
  0.3333  0.6667  25.0    0.7707   d          1.0         
  0.5000  0.5000  25.0    0.7801   d          1.0         
  1.0000  0.0000  25.0    0.8089   d          1.0         
  0.1000  0.9000  30.0    0.7537   d          -         
  0.1111  0.8889  30.0    0.7543   d          -         
  0.1250  0.8750  30.0    0.7550   d          -         
  0.1429  0.8571  30.0    0.7559   d          -         
  0.1667  0.8333  30.0    0.7572   d          -         
  0.2000  0.8000  30.0    0.7589   d          -         
  0.2500  0.7500  30.0    0.7615   d          -         
  0.3333  0.6667  30.0    0.7659   d          -         
  0.5000  0.5000  30.0    0.7747   d          -         
  1.0000  0.0000  30.0    0.8019   d          -         
  0.1000  0.9000  40.0    0.7456   d          -         
  0.1111  0.8889  40.0    0.7460   d          -         
  0.1250  0.8750  40.0    0.7467   d          -         
  0.1429  0.8571  40.0    0.7475   d          -         
  0.1667  0.8333  40.0    0.7485   d          -         
  0.2000  0.8000  40.0    0.7500   d          -         
  0.2500  0.7500  40.0    0.7522   d          -         
  0.3333  0.6667  40.0    0.7560   d          -         
  0.5000  0.5000  40.0    0.7635   d          -         
  1.0000  0.0000  40.0    0.7865   d          -         
  0.1000  0.9000  50.0    0.7340   d          -         
  0.1111  0.8889  50.0    0.7344   d          -         
  0.1250  0.8750  50.0    0.7350   d          -         
  0.1429  0.8571  50.0    0.7357   d          -         
  0.1667  0.8333  50.0    0.7366   d          -         
  0.2000  0.8000  50.0    0.7379   d          -         
  0.2500  0.7500  50.0    0.7398   d          -         
  0.3333  0.6667  50.0    0.7431   d          -         
  0.5000  0.5000  50.0    0.7496   d          -         
  1.0000  0.0000  50.0    0.7697   d          -         
  0.2000  1.8000   0.0    0.9129   d          -         
  0.2222  1.7778   0.0    0.9148   d          -         
  0.2500  1.7500   0.0    0.9171   d          -         
  0.2857  1.7143   0.0    0.9201   d          -         
  0.3333  1.6667   0.0    0.9242   d          -         
  0.4000  1.6000   0.0    0.9299   d          -         
  0.5000  1.5000   0.0    0.9385   d          -         
  0.6667  1.3333   0.0    0.9531   d          -         
  1.0000  1.0000   0.0    0.9829   d          -         
  2.0000  0.0000   0.0    1.0780   d          -         
  0.2000  1.8000  10.0    0.9051   d          -         
  0.2222  1.7778  10.0    0.9068   d          -         
  0.2500  1.7500  10.0    0.9089   d          -         
  0.2857  1.7143  10.0    0.9117   d          -         
  0.3333  1.6667  10.0    0.9153   d          -         
  0.4000  1.6000  10.0    0.9204   d          -         
  0.5000  1.5000  10.0    0.9282   d          -         
  0.6667  1.3333  10.0    0.9413   d          -         
  1.0000  1.0000  10.0    0.9681   d          -         
  2.0000  0.0000  10.0    1.0529   d          -         
  0.2000  1.8000  20.0    0.8950   d          -         
  0.2222  1.7778  20.0    0.8964   d          -         
  0.2500  1.7500  20.0    0.8983   d          -         
  0.2857  1.7143  20.0    0.9007   d          -         
  0.3333  1.6667  20.0    0.9039   d          -         
  0.4000  1.6000  20.0    0.9084   d          -         
  0.5000  1.5000  20.0    0.9153   d          -         
  0.6667  1.3333  20.0    0.9268   d          -         
  1.0000  1.0000  20.0    0.9502   d          -         
  2.0000  0.0000  20.0    1.0240   d          -         
  0.2000  1.8000  25.0    0.8881   d          1.0         
  0.2222  1.7778  25.0    0.8895   d          1.0         
  0.2500  1.7500  25.0    0.8913   d          1.0         
  0.2857  1.7143  25.0    0.8935   d          1.0         
  0.3333  1.6667  25.0    0.8965   d          1.0         
  0.4000  1.6000  25.0    0.9008   d          1.0         
  0.5000  1.5000  25.0    0.9072   d          1.0         
  0.6667  1.3333  25.0    0.9180   d          1.0         
  1.0000  1.0000  25.0    0.9399   d          1.0         
  2.0000  0.0000  25.0    1.0090   d          1.0         
  0.2000  1.8000  30.0    0.8804   d           -          
  0.2222  1.7778  30.0    0.8817   d           -          
  0.2500  1.7500  30.0    0.8834   d           -          
  0.2857  1.7143  30.0    0.8855   d           -          
  0.3333  1.6667  30.0    0.8883   d           -          
  0.4000  1.6000  30.0    0.8923   d           -          
  0.5000  1.5000  30.0    0.8983   d           -          
  0.6667  1.3333  30.0    0.9083   d           -          
  1.0000  1.0000  30.0    0.9288   d           -          
  2.0000  0.0000  30.0    0.9929   d           -          
  0.2000  1.8000  40.0    0.8650   d           -          
  0.2222  1.7778  40.0    0.8662   d           -          
  0.2500  1.7500  40.0    0.8676   d           -          
  0.2857  1.7143  40.0    0.8694   d           -          
  0.3333  1.6667  40.0    0.8718   d           -          
  0.4000  1.6000  40.0    0.8751   d           -          
  0.5000  1.5000  40.0    0.8802   d           -          
  0.6667  1.3333  40.0    0.8888   d           -          
  1.0000  1.0000  40.0    0.9061   d           -          
  2.0000  0.0000  40.0    0.9603   d           -          
  0.2000  1.8000  50.0    0.8535   d           -          
  0.2222  1.7778  50.0    0.8544   d           -          
  0.2500  1.7500  50.0    0.8556   d           -          
  0.2857  1.7143  50.0    0.8571   d           -          
  0.3333  1.6667  50.0    0.8591   d           -          
  0.4000  1.6000  50.0    0.8619   d           -          
  0.5000  1.5000  50.0    0.8662   d           -          
  0.6667  1.3333  50.0    0.8733   d           -          
  1.0000  1.0000  50.0    0.8878   d           -          
  2.0000  0.0000  50.0    0.9326   d           -          
  0.3000  2.7000   0.0    1.1352   d           -          
  0.3333  2.6667   0.0    1.1387   d           -          
  0.3750  2.6250   0.0    1.1430   d           -          
  0.4286  2.5714   0.0    1.1486   d           -          
  0.5000  2.5000   0.0    1.1561   d           -          
  0.6000  2.4000   0.0    1.1667   d           -          
  0.7500  2.2500   0.0    1.1828   d           -          
  1.0000  2.0000   0.0    1.2100   d           -          
  1.5000  1.5000   0.0    1.2665   d           -          
  3.0000  0.0000   0.0    1.4521   d           -          
  0.3000  2.7000  10.0    1.1200   d           -          
  0.3333  2.6667  10.0    1.1231   d           -          
  0.3750  2.6250  10.0    1.1269   d           -          
  0.4286  2.5714  10.0    1.1320   d           -          
  0.5000  2.5000  10.0    1.1387   d           -          
  0.6000  2.4000  10.0    1.1482   d           -          
  0.7500  2.2500  10.0    1.1625   d           -          
  1.0000  2.0000  10.0    1.1869   d           -          
  1.5000  1.5000  10.0    1.2371   d           -          
  3.0000  0.0000  10.0    1.4009   d           -          
  0.3000  2.7000  20.0    1.1023   d           -          
  0.3333  2.6667  20.0    1.1050   d           -          
  0.3750  2.6250  20.0    1.1084   d           -          
  0.4286  2.5714  20.0    1.1128   d           -          
  0.5000  2.5000  20.0    1.1187   d           -          
  0.6000  2.4000  20.0    1.1269   d           -          
  0.7500  2.2500  20.0    1.1395   d           -          
  1.0000  2.0000  20.0    1.1606   d           -          
  1.5000  1.5000  20.0    1.2042   d           -          
  3.0000  0.0000  20.0    1.3449   d           -          
  0.3000  2.7000  25.0    1.0919   d          1.0         
  0.3333  2.6667  25.0    1.0945   d          1.0         
  0.3750  2.6250  25.0    1.0976   d          1.0         
  0.4286  2.5714  25.0    1.1017   d          1.0         
  0.5000  2.5000  25.0    1.1071   d          1.0         
  0.6000  2.4000  25.0    1.1148   d          1.0         
  0.7500  2.2500  25.0    1.1264   d          1.0         
  1.0000  2.0000  25.0    1.1460   d          1.0         
  1.5000  1.5000  25.0    1.1863   d          1.0         
  3.0000  0.0000  25.0    1.3158   d          1.0         
  0.01000 0.09000  5.0    0.7952   e           -        
  0.03000 0.07000  5.0    0.7975   e           -        
  0.05000 0.05000  5.0    0.7994   e           -        
  0.07000 0.03000  5.0    0.8011   e           -        
  0.09000 0.01000  5.0    0.8032   e           -        
  0.10000 0.00000  5.0    0.8040   e           -        
  0.03809 0.34281  5.0    0.7430   e           -          
  0.11427 0.26663  5.0    0.7491   e           -          
  0.19045 0.19045  5.0    0.7551   e           -          
  0.26663 0.11427  5.0    0.7607   e           -          
  0.34281 0.03809  5.0    0.7664   e           -          
  0.38090 0.00000  5.0    0.7692   e           -          
  0.06729 0.60561  5.0    0.7472   e           -          
  0.20187 0.47103  5.0    0.7571   e           -          
  0.33645 0.33645  5.0    0.7673   e           -          
  0.47103 0.20187  5.0    0.7769   e           -          
  0.60561 0.06729  5.0    0.7860   e           -          
  0.67290 0.00000  5.0    0.7917   e           -          
  0.08720 0.78480  5.0    0.7608   e           -          
  0.26160 0.61040  5.0    0.7736   e           -          
  0.43443 0.43757  5.0    0.7858   e           -          
  0.61040 0.26160  5.0    0.7985   e           -          
  0.87200 0.00000  5.0    0.8169   e           -          
  0.01000 0.09000 10.0    0.7939   e           -          
  0.03000 0.07000 10.0    0.7956   e           -          
  0.05000 0.05000 10.0    0.7974   e           -          
  0.07000 0.03000 10.0    0.7998   e           -          
  0.09000 0.01000 10.0    0.8013   e           -          
  0.10000 0.00000 10.0    0.8021   e           -          
  0.03809 0.34281 10.0    0.7412   e           -          
  0.11427 0.26663 10.0    0.7471   e           -          
  0.19045 0.19045 10.0    0.7525   e           -          
  0.26663 0.11427 10.0    0.7578   e           -          
  0.34281 0.03809 10.0    0.7631   e           -          
  0.38090 0.00000 10.0    0.7657   e           -          
  0.06729 0.60561 10.0    0.7452   e           -          
  0.20187 0.47103 10.0    0.7544   e           -          
  0.33645 0.33645 10.0    0.7639   e           -          
  0.47103 0.20187 10.0    0.7728   e           -          
  0.60561 0.06729 10.0    0.7814   e           -          
  0.67290 0.00000 10.0    0.7864   e           -          
  0.08720 0.78480 10.0    0.7583   e           -          
  0.26160 0.61040 10.0    0.7702   e           -          
  0.43443 0.43757 10.0    0.7821   e           -          
  0.61040 0.26160 10.0    0.7936   e           -          
  0.87200 0.00000 10.0    0.8108   e           -          
  0.01000 0.09000 15.0    0.7924   e           -          
  0.03000 0.07000 15.0    0.7943   e           -          
  0.05000 0.05000 15.0    0.7959   e           -          
  0.07000 0.03000 15.0    0.7979   e           -          
  0.09000 0.01000 15.0    0.7995   e           -          
  0.10000 0.00000 15.0    0.8002   e           -          
  0.03809 0.34281 15.0    0.7393   e           -          
  0.11427 0.26663 15.0    0.7447   e           -          
  0.19045 0.19045 15.0    0.7499   e           -          
  0.26663 0.11427 15.0    0.7548   e           -          
  0.34281 0.03809 15.0    0.7598   e           -          
  0.38090 0.00000 15.0    0.7624   e           -          
  0.06729 0.60561 15.0    0.7429   e           -          
  0.20187 0.47103 15.0    0.7516   e           -          
  0.33645 0.33645 15.0    0.7604   e           -          
  0.47103 0.20187 15.0    0.7689   e           -          
  0.60561 0.06729 15.0    0.7770   e           -          
  0.67290 0.00000 15.0    0.7816   e           -          
  0.08720 0.78480 15.0    0.7560   e           -          
  0.26160 0.61040 15.0    0.7670   e           -          
  0.43443 0.43757 15.0    0.7780   e           -          
  0.61040 0.26160 15.0    0.7888   e           -          
  0.87200 0.00000 15.0    0.8049   e           -          
  0.01000 0.09000 20.0    0.7911   e           -          
  0.03000 0.07000 20.0    0.7930   e           -          
  0.05000 0.05000 20.0    0.7945   e           -          
  0.07000 0.03000 20.0    0.7965   e           -          
  0.09000 0.01000 20.0    0.7978   e           -          
  0.10000 0.00000 20.0    0.7986   e           -          
  0.03809 0.34281 20.0    0.7373   e           -          
  0.11427 0.26663 20.0    0.7424   e           -          
  0.19045 0.19045 20.0    0.7472   e           -          
  0.26663 0.11427 20.0    0.7518   e           -          
  0.34281 0.03809 20.0    0.7564   e           -          
  0.38090 0.00000 20.0    0.7590   e           -          
  0.06729 0.60561 20.0    0.7405   e           -          
  0.20187 0.47103 20.0    0.7489   e           -          
  0.33645 0.33645 20.0    0.7570   e           -          
  0.47103 0.20187 20.0    0.7650   e           -          
  0.60561 0.06729 20.0    0.7725   e           -          
  0.67290 0.00000 20.0    0.7772   e           -          
  0.08720 0.78480 20.0    0.7530   e           -          
  0.26160 0.61040 20.0    0.7633   e           -          
  0.43443 0.43757 20.0    0.7736   e           -          
  0.61040 0.26160 20.0    0.7839   e           -          
  0.87200 0.00000 20.0    0.7990   e           -          
  0.01000 0.09000 25.0    0.7892   e          1.0         
  0.03000 0.07000 25.0    0.7910   e          1.0         
  0.05000 0.05000 25.0    0.7925   e          1.0         
  0.07000 0.03000 25.0    0.7938   e          1.0         
  0.09000 0.01000 25.0    0.7954   e          1.0         
  0.10000 0.00000 25.0    0.7960   e          1.0         
  0.03809 0.34281 25.0    0.7344   e          1.0         
  0.11427 0.26663 25.0    0.7395   e          1.0         
  0.19045 0.19045 25.0    0.7440   e          1.0         
  0.26663 0.11427 25.0    0.7483   e          1.0         
  0.34281 0.03809 25.0    0.7529   e          1.0         
  0.38090 0.00000 25.0    0.7553   e          1.0         
  0.06729 0.60561 25.0    0.7371   e          1.0         
  0.20187 0.47103 25.0    0.7449   e          1.0         
  0.33645 0.33645 25.0    0.7525   e          1.0         
  0.47103 0.20187 25.0    0.7602   e          1.0         
  0.60561 0.06729 25.0    0.7671   e          1.0         
  0.67290 0.00000 25.0    0.7706   e          1.0         
  0.08720 0.78480 25.0    0.7491   e          1.0         
  0.26160 0.61040 25.0    0.7590   e          1.0         
  0.43443 0.43757 25.0    0.7686   e          1.0         
  0.61040 0.26160 25.0    0.7783   e          1.0         
  0.87200 0.00000 25.0    0.7925   e          1.0         
  0.01000 0.09000 30.0    0.7876   e           -          
  0.03000 0.07000 30.0    0.7893   e           -          
  0.05000 0.05000 30.0    0.7904   e           -          
  0.07000 0.03000 30.0    0.7919   e           -          
  0.09000 0.01000 30.0    0.7935   e           -          
  0.10000 0.00000 30.0    0.7941   e           -          
  0.03809 0.34281 30.0    0.7319   e           -          
  0.11427 0.26663 30.0    0.7364   e           -          
  0.19045 0.19045 30.0    0.7406   e           -          
  0.26663 0.11427 30.0    0.7448   e           -          
  0.34281 0.03809 30.0    0.7492   e           -          
  0.38090 0.00000 30.0    0.7510   e           -          
  0.06729 0.60561 30.0    0.7335   e           -          
  0.20187 0.47103 30.0    0.7409   e           -          
  0.33645 0.33645 30.0    0.7481   e           -          
  0.47103 0.20187 30.0    0.7553   e           -          
  0.60561 0.06729 30.0    0.7617   e           -          
  0.67290 0.00000 30.0    0.7661   e           -          
  0.08720 0.78480 30.0    0.7452   e           -          
  0.26160 0.61040 30.0    0.7546   e           -          
  0.43443 0.43757 30.0    0.7636   e           -          
  0.61040 0.26160 30.0    0.7726   e           -          
  0.87200 0.00000 30.0    0.7860   e           -          
  0.01000 0.09000 35.0    0.7855   e           -          
  0.03000 0.07000 35.0    0.7871   e           -          
  0.05000 0.05000 35.0    0.7882   e           -          
  0.07000 0.03000 35.0    0.7900   e           -          
  0.09000 0.01000 35.0    0.7912   e           -          
  0.10000 0.00000 35.0    0.7920   e           -          
  0.03809 0.34281 35.0    0.7287   e           -          
  0.11427 0.26663 35.0    0.7330   e           -          
  0.19045 0.19045 35.0    0.7371   e           -          
  0.26663 0.11427 35.0    0.7410   e           -          
  0.34281 0.03809 35.0    0.7452   e           -          
  0.38090 0.00000 35.0    0.7469   e           -          
  0.06729 0.60561 35.0    0.7298   e           -          
  0.20187 0.47103 35.0    0.7367   e           -          
  0.33645 0.33645 35.0    0.7434   e           -          
  0.47103 0.20187 35.0    0.7503   e           -          
  0.60561 0.06729 35.0    0.7563   e           -          
  0.67290 0.00000 35.0    0.7605   e           -          
  0.08720 0.78480 35.0    0.7410   e           -          
  0.26160 0.61040 35.0    0.7496   e           -          
  0.43443 0.43757 35.0    0.7580   e           -          
  0.61040 0.26160 35.0    0.7666   e           -          
  0.87200 0.00000 35.0    0.7793   e           -      
  0.01000 0.09000 40.0    0.7833   e           -      
  0.03000 0.07000 40.0    0.7849   e           -      
  0.05000 0.05000 40.0    0.7857   e           -      
  0.07000 0.03000 40.0    0.7875   e           -      
  0.09000 0.01000 40.0    0.7883   e           -      
  0.10000 0.00000 40.0    0.7893   e           -      
  0.03809 0.34281 40.0    0.7256   e           -      
  0.11427 0.26663 40.0    0.7296   e           -      
  0.19045 0.19045 40.0    0.7333   e           -      
  0.26663 0.11427 40.0    0.7370   e           -      
  0.34281 0.03809 40.0    0.7411   e           -      
  0.38090 0.00000 40.0    0.7427   e           -      
  0.06729 0.60561 40.0    0.7257   e           -      
  0.20187 0.47103 40.0    0.7322   e           -      
  0.33645 0.33645 40.0    0.7386   e           -      
  0.47103 0.20187 40.0    0.7450   e           -      
  0.60561 0.06729 40.0    0.7506   e           -      
  0.67290 0.00000 40.0    0.7547   e           -      
  0.08720 0.78480 40.0    0.7362   e           -      
  0.26160 0.61040 40.0    0.7443   e           -      
  0.43443 0.43757 40.0    0.7522   e           -      
  0.61040 0.26160 40.0    0.7603   e           -      
  0.87200 0.00000 40.0    0.7724   e           -      
  0.01000 0.09000 45.0    0.7808   e           -      
  0.03000 0.07000 45.0    0.7822   e           -      
  0.05000 0.05000 45.0    0.7833   e           -      
  0.07000 0.03000 45.0    0.7847   e           -      
  0.09000 0.01000 45.0    0.7860   e           -      
  0.10000 0.00000 45.0    0.7866   e           -      
  0.03809 0.34281 45.0    0.7222   e           -      
  0.11427 0.26663 45.0    0.7260   e           -      
  0.19045 0.19045 45.0    0.7294   e           -      
  0.26663 0.11427 45.0    0.7329   e           -      
  0.34281 0.03809 45.0    0.7368   e           -      
  0.38090 0.00000 45.0    0.7383   e           -      
  0.06729 0.60561 45.0    0.7215   e           -      
  0.20187 0.47103 45.0    0.7276   e           -      
  0.33645 0.33645 45.0    0.7335   e           -      
  0.47103 0.20187 45.0    0.7399   e           -      
  0.60561 0.06729 45.0    0.7450   e           -      
  0.67290 0.00000 45.0    0.7494   e           -      
  0.08720 0.78480 45.0    0.7313   e           -      
  0.26160 0.61040 45.0    0.7386   e           -      
  0.43443 0.43757 45.0    0.7461   e           -      
  0.61040 0.26160 45.0    0.7536   e           -      
  0.87200 0.00000 45.0    0.7653   e           -      
  0.010   0.090   25.0    0.7850   f          0.0     
  0.100   0.900   25.0    0.7660   f          0.0     
  0.500   0.500   25.0    0.7820   f          0.0     
  0.010   2.990   25.0    1.0850   f          0.0     
  0.100   2.900   25.0    1.0840   f          0.0     
  0.500   2.500   25.0    1.1060   f          0.0     
  1.000   2.000   25.0    1.1350   f          0.0     
  2.000   1.000   25.0    1.2240   f          0.0     
  0.100   3.900   25.0    1.3300   f          1.0     
  0.500   3.500   25.0    1.3670   f          1.0     
  1.000   3.000   25.0    1.4160   f          1.0     
  2.000   2.000   25.0    1.5210   f          1.0     
  3.000   1.000   25.0    1.6240   f          1.0     
  0.100   4.900   25.0    1.6830   f          1.0     
  0.500   4.500   25.0    1.7240   f          1.0     
  1.000   4.000   25.0    1.7780   f          1.0     
  2.000   3.000   25.0    1.9080   f          1.0     
  3.000   2.000   25.0    2.0460   f          1.0     
  4.000   1.000   25.0    2.1990   f          1.0     
  0.100   5.900   25.0    2.1450   f          1.0     
  0.500   5.500   25.0    2.1970   f          1.0     
  1.000   5.000   25.0    2.2630   f          1.0     
  2.000   4.000   25.0    2.4350   f          1.0     
  3.000   3.000   25.0    2.5990   f          1.0     
  4.000   2.000   25.0    2.7990   f          1.0     
  5.000   1.000   25.0    2.9980   f          1.0     
  6.000   0.000   25.0    3.2070   f          1.0     
  1.00    0.00     0.0    0.8448   g           -      
  0.80    0.20     0.0    0.8279   g           -      
  0.60    0.40     0.0    0.8115   g           -      
  0.40    0.60     0.0    0.7943   g           -      
  0.20    0.80     0.0    0.7801   g           -      
  0.10    0.90     0.0    0.7720   g           -      
  1.00    0.00    10.0    0.8318   g           -      
  0.80    0.20    10.0    0.8176   g           -      
  0.60    0.40    10.0    0.8018   g           -      
  0.40    0.60    10.0    0.7883   g           -      
  0.20    0.80    10.0    0.7739   g           -      
  0.10    0.90    10.0    0.7676   g           -      
  1.00    0.00    20.0    0.8180   g           -      
  0.80    0.20    20.0    0.8049   g           -      
  0.60    0.40    20.0    0.7923   g           -      
  0.40    0.60    20.0    0.7786   g           -      
  0.20    0.80    20.0    0.7662   g           -      
  0.10    0.90    20.0    0.7600   g           -      
  1.00    0.00    30.0    0.8034   g           -      
  0.80    0.20    30.0    0.7927   g           -      
  0.60    0.40    30.0    0.7801   g           -      
  0.40    0.60    30.0    0.7694   g           -      
  0.20    0.80    30.0    0.7599   g           -      
  0.10    0.90    30.0    0.7542   g           -      
  1.00    0.00    40.0    0.7879   g           -      
  0.80    0.20    40.0    0.7786   g           -      
  0.60    0.40    40.0    0.7680   g           -      
  0.40    0.60    40.0    0.7592   g           -      
  0.20    0.80    40.0    0.7515   g           -      
  0.10    0.90    40.0    0.7448   g           -      
  1.00    0.00    50.0    0.7716   g           -      
  0.80    0.20    50.0    0.7640   g           -      
  0.60    0.40    50.0    0.7558   g           -      
  0.40    0.60    50.0    0.7473   g           -      
  0.20    0.80    50.0    0.7399   g           -      
  0.10    0.90    50.0    0.7369   g           -      
  1.0     0.      25.0    0.81169  h          1.0     
  0.80012 0.19987 25.0    0.80118  h          1.0     
  0.60003 0.39996 25.0    0.78993  h          1.0     
  0.29975 0.70025 25.0    0.77305  h          1.0     
  0.10011 0.89989 25.0    0.76206  h          1.0     
  0.04999 0.95010 25.0    0.75881  h          1.0     
  0.01000 0.99000 25.0    0.75729  h          1.0     
Notes and References