|  
         
      
      
 Table 
        1 : : 2 : : 3 
        : : 4 : : 5 
      The 
        Calculated Thermodynamic Properties of Superfluid Helium-4 
         James S. Brooks and Russell J. Donnelly 
      
         
          | Table 
            1. Density (g cm-3) | 
         
         
          | Temp. | 
          Pressure 
            (atm) | 
         
         
          | (K) | 
          .00 | 
          2.50 | 
          5.00 | 
          7.50 | 
          10.00 | 
          12.50 | 
          15.00 | 
          17.50 | 
          20.00 | 
          22.50 | 
          25.00 | 
         
         
            
            0.10 | 
            
            1.4513E-1 | 
            
            1.4925E-1 | 
            
            1.5284E-1 | 
            
            1.5603E-1 | 
            
            1.5892E-1 | 
            
            1.6157E-1 | 
            
            1.6403E-1 | 
            
            1.6633E-1 | 
            
            1.6849E-1 | 
            
            1.7053E-1 | 
            
            1.7246E-1 | 
         
         
          | 0.15 
            1  | 
          1.4513E- | 
          1.4925E-1 
             | 
          1.5284E-1 
             | 
          1.5603E-1 
             | 
          1.5892E-1 
             | 
          1.6157E-1 
             | 
          1.6403E-1 
             | 
          1.6633E-1 
             | 
          1.6849E-1 
             | 
          1.7053E-1 
             | 
          1.7246E-1 | 
         
         
          | 0.20 
             | 
          1.4513E-1 
             | 
          1.4925E-1 
             | 
          1.5284E-1 
             | 
          1.5603E-1 
             | 
          1.5892E-1 
             | 
          1.6157E-1 
             | 
          1.6403E-1 
             | 
          1.6633E-1 
             | 
          1.6849E-1 
             | 
          1.7053E-1 
             | 
          1.7246E-1 | 
         
         
          | 0.25 
             | 
          1.4513E-1 
             | 
          1.4925E-1 
             | 
          1.5284E-1 
             | 
          1.5603E-1 
             | 
          1.5892E-1 
             | 
          1.6157E-1 
             | 
          1.6403E-1 
             | 
          1.6633E-1 
             | 
          1.6849E-1 
             | 
          1.7053E-1 
             | 
          1.7246E-1 | 
         
         
          | 0.30 
             | 
          1.4513E-1 
             | 
          1.4925E-1 
             | 
          1.5284E-1 
             | 
          1.5603E-1 
             | 
          1.5892E-1 
             | 
          1.6157E-1 
             | 
          1.6403E-1 
             | 
          1.6633E-1 | 
          1.6849E-1 
             | 
          1.7053E-1 
             | 
          1.7246E-1 | 
         
         
          | 0.35 
             | 
          1.4513E-1 
             | 
          1.4925E-1 
             | 
          1.5284E-1 
             | 
          1.5603E-1 
             | 
          1.5892E-1 
             | 
          1.6157E-1 | 
          1.6403E-1 
             | 
          1.6633E-1 
             | 
          1.6849E-1 
             | 
          1.7053E-1 
             | 
          1.7246E-1 | 
         
         
          | 0.40 
             | 
          1.4513E-1 
             | 
          1.4925E-1 
             | 
          1.5284E-1 
             | 
          1.5603E-1 
             | 
          1.5892E-1 | 
          1.6157E-1 
             | 
          1.6403E-1 
             | 
          1.6633E-1 
             | 
          1.6849E-1 
             | 
          1.7053E-1 
             | 
          1.7246E-1 | 
         
         
          | 0.45 
             | 
          1.4513E-1 
             | 
          1.4925E-1 
             | 
          1.5283E-1 
             | 
          1.5603E-1 | 
          1.5892E-1 
             | 
          1.6157E-1 
             | 
          1.6403E-1 
             | 
          1.6633E-1 
             | 
          1.6849E-1 
             | 
          1.7053E-1 
             | 
          1.7246E-1 | 
         
         
          | 0.50 
             | 
          1.4513E-1 
             | 
          1.4925E-1 
             | 
          1.5283E-1 
             | 
          1.5603E-1 
             | 
          1.5892E-1 
             | 
          1.6157E-1 
             | 
          1.6403E-1 
             | 
          1.6633E-1 
             | 
          1.6849E-1 
             | 
          1.7053E-1 
             | 
          1.7246E-1 | 
         
         
          | 0.55 
             | 
          1.4513E-1 
             | 
          1.4925E-1 
             | 
          1.5283E-1 
             | 
          1.5603E-1 
             | 
          1.5892E-1 
             | 
          1.6157E-1 | 
          1.6403E-1 
             | 
          1.6633E-1 | 
          1.6849E-1 
             | 
          1.7053E-1 
             | 
          1.7246E-1 | 
         
         
          | 0.60 
             | 
          1.4513E-1 
             | 
          1.4925E-1 
             | 
          1.5283E-1 
             | 
          1.5603E-1 
             | 
          1.5892E-1 
             | 
          1.6157E-1 | 
          1.6403E-1 
             | 
          1.6633E-1 
             | 
          1.6849E-1 
             | 
          1.7053E-1 
             | 
          1.7246E-1 | 
         
         
          | 0.65 
             | 
          1.4512E-1 
             | 
          1.4925E-1 
             | 
          1.5283E-1 
             | 
          1.5603E-1 
             | 
          1.5892E-1 | 
          1.6157E-1 
             | 
          1.6403E-1 
             | 
          1.6633E-1 
             | 
          1.6849E-1 
             | 
          1.7053E-1 
             | 
          1.7246E-1 | 
         
         
          | 0.70 
             | 
          1.4512E-1 
             | 
          1.4925E-1 
             | 
          1.5283E-1 
             | 
          1.5602E-1 
             | 
          1.5892E-1 
             | 
          1.6157E-1 
             | 
          1.6403E-1 | 
          1.6633E-1 | 
          1.6849E-1 
             | 
          1.7053E-1 | 
          1.7246E-1 | 
         
         
          | 0.75 
             | 
          1.4512E-1 
             | 
          1.4925E-1 
             | 
          1.5283E-1 | 
          1.5602E-1 | 
          1.5892E-1 
             | 
          1.6157E-1 
             | 
          1.6403E-1 
             | 
          1.6633E-1 
             | 
          1.6849E-1 
             | 
          1.7053E-1 
             | 
          1.7247E-1 | 
         
         
          | 0.80 
             | 
          1.4512E-1 
             | 
          1.4924E-1 
             | 
          1.5283E-1 
             | 
          1.5602E-1 
             | 
          1.5892E-1 
             | 
          1.6157E-1 
             | 
          1.6403E-1 | 
          1.6633E-1 
             | 
          1.6849E-1 
             | 
          1.7053E-1 
             | 
          1.7247E-1 | 
         
         
          | 0.85 
             | 
          1.4512E-1 
             | 
          1.4924E-1 
             | 
          1.5283E-1 
             | 
          1.5603E-1 
             | 
          1.5892E-1 
             | 
          1.6157E-1 
             | 
          1.6403E-1 
             | 
          1.6633E-1 
             | 
          1.6849E-1 
             | 
          1.7054E-1 
             | 
          1.7247E-1 | 
         
         
          | 0.90 
             | 
          1.4511E-1 
             | 
          1.4924E-1 
             | 
          1.5283E-1 
             | 
          1.5603E-1 
             | 
          1.5892E-1 
             | 
          1.6158E-1 
             | 
          1.6404E-1 | 
          1.6634E-1 
             | 
          1.6850E-1 
             | 
          1.7054E-1 
             | 
          1.7248E-1 | 
         
         
          | 0.95 
             | 
          1.4511E-1 
             | 
          1.4924E-1 
             | 
          1.5283E-1 
             | 
          1.5603E-1 
             | 
          1.5893E-1 | 
          1.6158E-1 
             | 
          1.6404E-1 
             | 
          1.6634E-1 
             | 
          1.6851E-1 | 
          1.7055E-1 
             | 
          1.7249E-1 | 
         
         
          | 1.00 
             | 
          1.4511E-1 
             | 
          1.4925E-1 
             | 
          1.5284E-1 | 
          1.5604E-1 
             | 
          1.5893E-1 
             | 
          1.6159E-1 
             | 
          1.6405E-1 
             | 
          1.6635E-1 
             | 
          1.6852E-1 
             | 
          1.7056E-1 
             | 
          1.7251E-1 | 
         
         
          | 1.05 
             | 
          1.4511E-1 
             | 
          1.4925E-1 
             | 
          1.5284E-1 
             | 
          1.5604E-1 
             | 
          1.5894E-1 
             | 
          1.6160E-1 
             | 
          1.6406E-1 | 
          1.6636E-1 
             | 
          1.6853E-1 
             | 
          1.7058E-1 
             | 
          1.7252E-1 | 
         
         
          | 1.10 
             | 
          1.4510E-1 
             | 
          1.4925E-1 
             | 
          1.5285E-1 
             | 
          1.5605E-1 
             | 
          1.5895E-1 
             | 
          1.6161E-1 
             | 
          1.6408E-1 
             | 
          1.6638E-1 
             | 
          1.6855E-1 
             | 
          1.7060E-1 
             | 
          1.7255E-1 | 
         
         
          | 1.15 
             | 
          1.4510E-1 
             | 
          1.4926E-1 
             | 
          1.5286E-1 
             | 
          1.5607E-1 
             | 
          1.5897E-1 | 
          1.6163E-1 
             | 
          1.6410E-1 
             | 
          1.6640E-1 | 
          1.6858E-1 
             | 
          1.7063E-1 
             | 
          1.7258E-1 | 
         
         
          | 1.20 
             | 
          1.4511E-1 
             | 
          1.4926E-1 
             | 
          1.5287E-1 
             | 
          1.5608E-1 
             | 
          1.5899E-1 
             | 
          1.6165E-1 
             | 
          1.6412E-1 
             | 
          1.6643E-1 
             | 
          1.6861E-1 
             | 
          1.7066E-1 
             | 
          1.7262E-1 | 
         
         
          | 1.25 
             | 
          1.4511E-1 | 
          1.4927E-1 
             | 
          1.5289E-1 
             | 
          1.5610E-1 
             | 
          1.5901E-1 
             | 
          1.6168E-1 
             | 
          1.6415E-1 
             | 
          1.6647E-1 
             | 
          1.6865E-1 
             | 
          1.7071E-1 
             | 
          1.7267E-1 | 
         
         
          | 1.30 
             | 
          1.4511E-1 
             | 
          1.4929E-1 
             | 
          1.5291E-1 
             | 
          1.5612E-1 
             | 
          1.5904E-1 
             | 
          1.6171E-1 
             | 
          1.6419E-1 
             | 
          1.6651E-1 
             | 
          1.6870E-1 
             | 
          1.7077E-1 
             | 
          1.7273E-1 | 
         
         
          | 1.35 
             | 
          1.4512E-1 | 
          1.4930E-1 
             | 
          1.5293E-1 
             | 
          1.5615E-1 
             | 
          1.5907E-1 
             | 
          1.6175E-1 
             | 
          1.6423E-1 
             | 
          1.6656E-1 
             | 
          1.6876E-1 | 
          1.7083E-1 
             | 
          1.7282E-1 | 
         
         
          | 1.40 
             | 
          1.4513E-1 
             | 
          1.4932E-1 
             | 
          1.5296E-1 
             | 
          1.5619E-1 
             | 
          1.5911E-1 
             | 
          1.6180E-1 
             | 
          1.6429E-1 
             | 
          1.6663E-1 
             | 
          1.6883E-1 
             | 
          1.7092E-1 
             | 
          1.7291E-1 | 
         
         
          | 1.45 
             | 
          1.4514E-1 | 
          1.4934E-1 
             | 
          1.5299E-1 
             | 
          1.5623E-1 
             | 
          1.5916E-1 
             | 
          1.6185E-1 
             | 
          1.6436E-1 
             | 
          1.6670E-1 
             | 
          1.6892E-1 
             | 
          1.7102E-1 
             | 
          1.7303E-1 | 
         
         
          | 1.50 
             | 
          1.4516E-1 
             | 
          1.4937E-1 
             | 
          1.5303E-1 
             | 
          1.5628E-1 
             | 
          1.5922E-1 
             | 
          1.6192E-1 
             | 
          1.6444E-1 
             | 
          1.6680E-1 
             | 
          1.6903E-1 
             | 
          1.7114E-1 
             | 
          1.7317E-1 | 
         
         
          | 1.55 
             | 
          1.4518E-1 
             | 
          1.4941E-1 
             | 
          1.5303E-1 
             | 
          1.5634E-1 
             | 
          1.5929E-1 
             | 
          1.6201E-1 
             | 
          1.6453E-1 
             | 
          1.6691E-1 
             | 
          1.6916E-1 
             | 
          1.7129E-1 
             | 
          1.7335E-1 | 
         
         
          | 1.60 
             | 
          1.4520E-1 
             | 
          1.4944E-1 
             | 
          1.5313E-1 
             | 
          1.5641E-1 | 
          1.5938E-1 
             | 
          1.6211E-1 
             | 
          1.6465E-1 
             | 
          1.6704E-1 
             | 
          1.6931E-1 
             | 
          1.7146E-1 | 
          1.7356E-1 | 
         
         
          | 1.65 
             | 
          1.4523E-1 
             | 
          1.4949E-1 
             | 
          1.5319E-1 
             | 
          1.5649E-1 
             | 
          1.5948E-1 
             | 
          1.6223E-1 
             | 
          1.6478E-1 
             | 
          1.6719E-1 
             | 
          1.6949E-1 
             | 
          1.7168E-1 
             | 
          1.7382E-1 | 
         
         
          | 1.70 
             | 
          1.4526E-1 
             | 
          1.4954E-1 
             | 
          1.5327E-1 
             | 
          1.5659E-1 | 
          1.5960E-1 
             | 
          1.6237E-1 
             | 
          1.6495E-1 
             | 
          1.6738E-1 
             | 
          1.6971E-1 
             | 
          1.7193E-1 
             | 
          1.7413E-1 | 
         
         
          | 1.75 
             | 
          1.4530E-1 
             | 
          1.4960E-1 
             | 
          1.5335E-1 | 
          1.5670E-1 
             | 
          1.5974E-1 
             | 
          1.6254E-1 
             | 
          1.6514E-1 
             | 
          1.6760E-1 
             | 
          1.6997E-1 
             | 
          1.7225E-1 
             | 
          1.7457E-1 | 
         
         
          | 1.80 
             | 
          1.4535E-1 
             | 
          1.4967E-1 
             | 
          1.5345E-1 
             | 
          1.5684E-1 
             | 
          1.5991E-1 | 
          1.6274E-1 
             | 
          1.6536E-1 | 
          1.6786E-1 | 
          1.7028E-1 
             | 
          1.7263E-1 
             | 
          1.7512E-1 | 
         
         
          | 1.85 
             | 
          1.4540E-1 
             | 
          1.4975E-1 
             | 
          1.5357E-1 
             | 
          1.5699E-1 
             | 
          1.6011E-1 
             | 
          1.6297E-1 
             | 
          1.6564E-1 
             | 
          1.6818E-1 
             | 
          1.7070E-1 
             | 
          1.7317E-1 | 
            | 
         
         
          | 1.90 
             | 
          1.4546E-1 
             | 
          1.4984E-1 
             | 
          1.5370E-1 
             | 
          1.5717E-1 
             | 
          1.6032E-1 
             | 
          1.6323E-1 
             | 
          1.6596E-1 
             | 
          1.6860E-1 | 
            | 
            | 
            | 
         
         
          | 1.95 
             | 
          1.4553E-1 
             | 
          1.4996E-1 | 
          1.5387E-1 
             | 
          1.5738E-1 | 
          1.6059E-1 | 
          1.6357E-1 
             | 
          1.6641E-1 | 
            | 
            | 
            | 
            | 
         
         
          | 2.00 
             | 
          1.4561E-1 
             | 
          1.5009E-1 
             | 
          1.5405E-1 
             | 
          1.5762E-1 
             | 
          1.6091E-1 | 
            | 
            | 
            | 
            | 
            | 
            | 
         
         
          | 2.05 
             | 
          1.4570E-1 
             | 
          1.5024E-1 
             | 
          1.5427E-1 | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
         
         
          | 2.10 
             | 
          1.4582E-1 
             | 
          1.5041E-1 | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
         
       
        
      
         
          | Table 
            2. Molar volume (cm3 mol-1) | 
         
         
          | Temp. | 
          Pressure 
            (atm) | 
         
         
          | (K) 
             | 
          .00 | 
          2.50 | 
          5.00 | 
          7.50 | 
          10.00 | 
          12.50 | 
          15.00 | 
          17.50 | 
          20.00 | 
          22.50 | 
           
            25.00 | 
         
         
            0.10 
             | 
            
            2.7579E1 
             | 
            
            2.6818E1 | 
            
            2.6189E1 | 
            
            2.5653E1 | 
            
            2.5186E1 | 
            
            2.4773E1 | 
            
            2.4401E1 | 
            
            2.4064E1 | 
            
            2.3756E1 | 
            
            2.3472E1 | 
            
            2.3208E1 | 
         
         
          | 0.15 
             | 
          2.7579E1 | 
          2.6818E1 | 
          2.6189E1 | 
          2.5653E1 | 
          2.5186E1 | 
          2.4773E1 | 
          2.4401E1 | 
          2.4064E1 | 
          2.3756E1 | 
          2.3472E1 | 
          2.3208E1 | 
         
         
          | 0.20 
             | 
          2.7579E1 | 
          2.6818E1 | 
          2.6189E1 | 
          2.5653E1 | 
          2.5186E1 | 
          2.4773E1 | 
          2.4401E1 | 
          2.4064E1 | 
          2.3756E1 | 
          2.3472E1 | 
          2.3208E1 | 
         
         
          | 0.25 
             | 
          2.7579E1 | 
          2.6818E1 | 
          2.6189E1 | 
          2.5653E1 | 
          2.5186E1 | 
          2.4773E1 | 
          2.4401E1 | 
          2.4064E1 | 
          2.3756E1 | 
          2.3472E1 | 
          2.3208E1 | 
         
         
          | 0.30 
             | 
          2.7579E1 | 
          2.6818E1 | 
          2.6189E1 | 
          2.5653E1 | 
          2.5186E1 | 
          2.4773E1 | 
          2.4401E1 | 
          2.4064E1 
             | 
          2.3756E1 
             | 
          2.3472E1 
             | 
          2.3208E1 | 
         
         
          | 0.35 
             | 
          2.7580E1 | 
          2.6818E1 | 
          2.6189E1 | 
          2.5653E1 | 
          2.5186E1 | 
          2.4773E1 | 
          2.4401E1 | 
          2.4064E1 | 
          2.3756E1 | 
          2.3472E1 | 
          2.3208E1 | 
         
         
          | 0.40 
             | 
          2.7580E1 | 
          2.6818E1 | 
          2.6189E1 | 
          2.5653E1 | 
          2.5186E1 | 
          2.4773E1 | 
          2.4401E1 | 
          2.4064E1 | 
          2.3756E1 | 
          2.3472E1 | 
          2.3208E1 | 
         
         
          | 0.45 
             | 
          2.7580E1 | 
          2.6818E1 | 
          2.6189E1 | 
          2.5653E1 | 
          2.5186E1 | 
          2.4773E1 | 
          2.4401E1 | 
          2.4064E1 | 
          2.3756E1 | 
          2.3472E1 | 
          2.3208E1 | 
         
         
          | 0.50 
             | 
          2.7580E1 | 
          2.6818E1 | 
          2.6189E1 | 
          2.5653E1 | 
          2.5186E1 | 
          2.4773E1 | 
          2.4401E1 | 
          2.4064E1 | 
          2.3756E1 | 
          2.3472E1 | 
          2.3208E1 | 
         
         
          | 0.55 
             | 
          2.7580E1 | 
          2.6818E1 | 
          2.6189E1 | 
          2.5653E1 | 
          2.5187E1 | 
          2.4773E1 | 
          2.4401E1 | 
          2.4064E1 | 
          2.3756E1 | 
          2.3472E1 | 
          2.3208E1 | 
         
         
          | 0.60 
             | 
          2.7580E1 | 
          2.6818E1 | 
          2.6189E1 | 
          2.5653E1 | 
          2.5187E1 | 
          2.4773E1 | 
          2.4401E1 | 
          2.4064E1 | 
          2.3756E1 | 
          2.3472E1 | 
          2.3208E1 | 
         
         
          | 0.65 
             | 
          2.7580E1 | 
          2.6818E1 | 
          2.6189E1 | 
          2.5654E1 | 
          2.5187E1 | 
          2.4773E1 | 
          2.4401E1 | 
          2.4064E1 | 
          2.3756E1 | 
          2.3472E1 | 
          2.3208E1 | 
         
         
          | 0.70 
             | 
          2.7581E1 | 
          2.6819E1 | 
          2.6190E1 | 
          2.5654E1 | 
          2.5187E1 | 
          2.4773E1 | 
          2.4401E1 | 
          2.4064E1 | 
          2.3756E1 | 
          2.3472E1 | 
          2.3208E1 | 
         
         
          | 0.75 
             | 
          2.7581E1 
             | 
          2.6819E1 | 
          2.6190E1 | 
          2.5654E1 | 
          2.5187E1 | 
          2.4773E1 | 
          2.4401E1 | 
          2.4064E1 | 
          2.3756E1 | 
          2.3472E1 | 
          2.3208E1 | 
         
         
          | 0.80 
             | 
          2.7582E1 | 
          2.6819E1 | 
          2.6190E1 | 
          2.5654E1 | 
          2.5187E1 | 
          2.4773E1 | 
          2.4401E1 | 
          2.4064E1 | 
          2.3756E1 | 
          2.3471E1 | 
          2.3208E1 | 
         
         
          | 0.85 
             | 
          2.7582E1 | 
          2.6819E1 | 
          2.6190E1 | 
          2.5654E1 | 
          2.5186E1 | 
          2.4773E1 | 
          2.4401E1 | 
          2.4064E1 | 
          2.3755E1 | 
          2.3471E1 | 
          2.3207E1 | 
         
         
          | 0.90 
             | 
          2.7583E1 | 
          2.6819E1 | 
          2.6190E1 | 
          2.5653E1 | 
          2.5186E1 | 
          2.4772E1 | 
          2.4400E1 | 
          2.4063E1 | 
          2.3754E1 | 
          2.3470E1 | 
          2.3206E1 | 
         
         
          | 0.95 
             | 
          2.7583E1 | 
          2.6819E1 | 
          2.6189E1 | 
          2.5653E1 | 
          2.5185E1 | 
          2.4771E1 | 
          2.4400E1 | 
          2.4062E1 | 
          2.3753E1 | 
          2.3469E1 | 
          2.3205E1 | 
         
         
          | 1.00 
             | 
          2.7583E1 | 
          2.6819E1 | 
          2.6189E1 | 
          2.5652E1 | 
          2.5184E1 | 
          2.4770E1 | 
          2.4398E1 | 
          2.4061E1 | 
          2.3752E1 | 
          2.3467E1 | 
          2.3203E1 | 
         
         
          | 1.05 
             | 
          2.7584E1 | 
          2.6818E1 | 
          2.6188E1 | 
          2.5651E1 | 
          2.5183E1 | 
          2.4769E1 | 
          2.4397E1 | 
          2.4059E1 | 
          2.3750E1 | 
          2.3465E1 | 
          2.3200E1 | 
         
         
          | 1.10 
             | 
          2.7584E1 | 
          2.6818E1 | 
          2.6186E1 | 
          2.5649E1 | 
          2.5181E1 | 
          2.4767E1 | 
          2.4395E1 | 
          2.4057E1 | 
          2.3747E1 | 
          2.3462E1 | 
          2.3197E1 | 
         
         
          | 1.15 
             | 
          2.7584E1 | 
          2.6817E1 | 
          2.6185E1 | 
          2.5647E1 | 
          2.5179E1 | 
          2.4764E1 | 
          2.4392E1 | 
          2.4054E1 | 
          2.3744E1 | 
          2.3458E1 | 
          2.3192E1 | 
         
         
          | 1.20 
             | 
          2.7584E1 | 
          2.6816E1 | 
          2.6183E1 | 
          2.5644E1 | 
          2.5176E1 | 
          2.4761E1 | 
          2.4388E1 | 
          2.4050E1 | 
          2.3739E1 | 
          2.3453E1 | 
          2.3187E1 | 
         
         
          | 1.25 
             | 
          2.7584E1 | 
          2.6814E1 | 
          2.6180E1 | 
          2.5641E1 | 
          2.5172E1 | 
          2.4757E1 | 
          2.4384E1 | 
          2.4045E1 | 
          2.3734E1 | 
          2.3447E1 | 
          2.3180E1 | 
         
         
          | 1.30 
             | 
          2.7583E1 | 
          2.6812E1 | 
          2.6177E1 | 
          2.5637E1 | 
          2.5168E1 | 
          2.4752E1 | 
          2.4378E1 | 
          2.4038E1 | 
          2.3727E1 | 
          2.3439E1 | 
          2.3172E1 | 
         
         
          | 1.35 
             | 
          2.7582E1 | 
          2.6809E1 | 
          2.6173E1 | 
          2.5633E1 | 
          2.5162E1 | 
          2.4746E1 | 
          2.4371E1 | 
          2.4031E1 | 
          2.3718E1 | 
          2.3430E1 | 
          2.3161E1 | 
         
         
          | 1.40 
             | 
          2.7580E1 | 
          2.6805E1 | 
          2.6168E1 | 
          2.5627E1 | 
          2.5156E1 | 
          2.4739E1 | 
          2.4363E1 | 
          2.4021E1 | 
          2.3708E1 | 
          2.3418E1 | 
          2.3149E1 | 
         
         
          | 1.45 
             | 
          2.7578E1 | 
          2.6801E1 | 
          2.6163E1 | 
          2.5620E1 | 
          2.5148E1 | 
          2.4730E1 | 
          2.4353E1 | 
          2.4010E1 | 
          2.3695E1 | 
          2.3405E1 | 
          2.3133E1 | 
         
         
          | 1.50 
             | 
          2.7574E1 | 
          2.6796E1 | 
          2.6156E1 | 
          2.5612E1 | 
          2.5139E1 | 
          2.4719E1 | 
          2.4341E1 | 
          2.3997E1 | 
          2.3680E1 | 
          2.3388E1 | 
          2.3114E1 | 
         
         
          | 1.55 
             | 
          2.7571E1 | 
          2.6790E1 | 
          2.6148E1 | 
          2.5602E1 | 
          2.5127E1 | 
          2.4706E1 | 
          2.4327E1 | 
          2.3981E1 | 
          2.3662E1 | 
          2.3367E1 | 
          2.3090E1 | 
         
         
          | 1.60 
             | 
          2.7566E1 | 
          2.6783E1 | 
          2.6139E1 | 
          2.5591E1 | 
          2.5114E1 | 
          2.4691E1 | 
          2.4310E1 | 
          2.3962E1 | 
          2.3641E1 | 
          2.3344E1 | 
          2.3062E1 | 
         
         
          | 1.65 
             | 
          2.7561E1 | 
          2.6775E1 | 
          2.6128E1 | 
          2.5577E1 | 
          2.5098E1 | 
          2.4673E1 | 
          2.4290E1 | 
          2.3940E1 | 
          2.3616E1 | 
          2.3315E1 | 
          2.3027E1 | 
         
         
          | 1.70 
             | 
          2.7555E1 | 
          2.6765E1 | 
          2.6115E1 | 
          2.5561E1 | 
          2.5079E1 | 
          2.4652E1 | 
          2.4266E1 | 
          2.3913E1 | 
          2.3585E1 | 
          2.3280E1 | 
          2.2986E1 | 
         
         
          | 1.75 
             | 
          2.7547E1 | 
          2.6755E1 | 
          2.6100E1 | 
          2.5543E1 | 
          2.5056E1 | 
          2.4626E1 | 
          2.4238E1 | 
          2.3882E1 | 
          2.3549E1 | 
          2.3237E1 | 
          2.2929E1 | 
         
         
          | 1.80 
             | 
          2.7539E1 | 
          2.6744E1 | 
          2.6084E1 | 
          2.5521E1 | 
          2.5030E1 | 
          2.4596E1 | 
          2.4205E1 | 
          2.3845E1 | 
          2.3506E1 | 
          2.3186E1 | 
          2.2857E1 | 
         
         
          | 1.85 
             | 
          2.7528E1 | 
          2.6729E1 | 
          2.6064E1 | 
          2.5495E1 | 
          2.4999E1 | 
          2.4561E1 | 
          2.4165E1 | 
          2.3799E1 | 
          2.3449E1 | 
          2.3114E1 | 
            | 
         
         
          | 1.90 
             | 
          2.7516E1 | 
          2.6713E1 | 
          2.6041E1 | 
          2.5467E1 | 
          2.4966E1 | 
          2.4521E1 | 
          2.4118E1 | 
          2.3741E1 | 
            | 
            | 
            | 
         
         
          | 1.95 
             | 
          2.7503E1 | 
          2.6691E1 | 
          2.6014E1 | 
          2.5433E1 | 
          2.4924E1 | 
          2.4470E1 | 
          2.4053E1 | 
            | 
            | 
            | 
            | 
         
         
          | 2.00 
             | 
          2.7488E1 | 
          2.6669E1 | 
          2.5982E1 | 
          2.5394E1 | 
          2.4874E1 | 
            | 
            | 
            | 
            | 
            | 
            | 
         
         
          | 2.05 
             | 
          2.7471E1 | 
          2.6641E1 | 
          2.5946E1 | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
         
         
          | 2.10 
             | 
          2.7449E1 | 
          2.6612E1 | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
         
		 
          |   | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
         
       
        
      
         
          | Table 
            3. First sound velocity (m s-1) | 
         
         
          | Temp. | 
            | 
         
         
          | (K)  | 
           .00 | 
          2.50 | 
          5.00 | 
          7.50 | 
          10.00 | 
          12.50 | 
          15.00 | 
          17.50 | 
          20.00 | 
          22.50 | 
          25.00 | 
         
         
            0.10 
             | 
            
            2.3821E2 | 
            
            2.5746E2 | 
            
            2.7422E2 | 
            
            2.8916E2 | 
            
            3.0271E2 | 
            
            3.1515E2 | 
            
            3.2669E2 | 
            
            3.3747E2 | 
            
            3.4760E2 | 
            
            3.5718E2 | 
            
            3.6627E2 | 
         
         
          | 0.15 
             | 
          2.3821E2 | 
          2.5746E2 | 
          2.7422E2 | 
          2.8916E2 | 
          3.0271E2 | 
          3.1515E2 | 
          3.2669E2 | 
          3.3747E2 | 
          3.4760E2 | 
          3.5718E2 | 
          3.6627E2 | 
         
         
          |  
            0.15  | 
           
            2.3821E2  | 
           
            2.5746E2  | 
           
            2.7422E2  | 
           
            2.8916E2  | 
           
            3.0271E2  | 
           
            3.1515E2  | 
           
            3.2669E2  | 
           
            3.3747E2  | 
           
            3.4760E2  | 
           
            3.5718E2  | 
           
            3.6627E2  | 
         
         
          |  
            0.20  | 
           
            2.3821E2  | 
           
            2.5746E2  | 
           
            2.7422E2  | 
           
            2.8916E2  | 
           
            3.0271E2  | 
           
            3.1515E2  | 
           
            3.2669E2  | 
           
            3.3747E2  | 
           
            3.4760E2  | 
           
            3.5718E2  | 
           
            3.6627E2  | 
         
         
          |  
            0.25  | 
           
            2.3821E2  | 
           
            2.5746E2  | 
           
            2.7422E2  | 
           
            2.8916E2  | 
           
            3.0271E2  | 
           
            3.1515E2  | 
           
            3.2669E2  | 
           
            3.3747E2  | 
           
            3.4760E2  | 
           
            3.5718E2  | 
           
            3.6627E2  | 
         
         
          |  
            0.30  | 
           
            2.3821E2  | 
           
            2.5746E2  | 
           
            2.7422E2  | 
           
            2.8916E2  | 
           
            3.0271E2  | 
           
            3.1515E2  | 
           
            3.2669E2  | 
           
            3.3747E2  | 
           
            3.4760E2  | 
           
            3.5718E2  | 
           
            3.6627E2  | 
         
         
          |  
            0.35  | 
           
            2.3821E2  | 
           
            2.5746E2  | 
           
            2.7422E2  | 
           
            2.8916E2  | 
           
            3.0271E2  | 
           
            3.1515E2  | 
           
            3.2669E2  | 
           
            3.3747E2  | 
           
            3.4760E2  | 
           
            3.5718E2  | 
           
            3.6627E2  | 
         
         
          |  
            0.40  | 
           
            2.3821E2  | 
           
            2.5746E2  | 
           
            2.7422E2  | 
           
            2.8916E2  | 
           
            3.0271E2  | 
           
            3.1515E2  | 
           
            3.2669E2  | 
           
            3.3747E2  | 
           
            3.4760E2  | 
           
            3.5718E2  | 
           
            3.6627E2  | 
         
         
          |  
            0.45  | 
           
            2.3821E2  | 
           
            2.5746E2  | 
           
            2.7422E2  | 
           
            2.8916E2  | 
           
            3.0271E2  | 
           
            3.1515E2  | 
           
            3.2669E2  | 
           
            3.3747E2  | 
           
            3.4760E2  | 
           
            3.5718E2  | 
           
            3.6627E2  | 
         
         
          |  
            0.50  | 
           
            2.3821E2  | 
           
            2.5746E2  | 
           
            2.7422E2  | 
           
            2.8916E2  | 
           
            3.0271E2  | 
           
            3.1515E2  | 
           
            3.2669E2  | 
           
            3.3746E2  | 
           
            3.4760E2  | 
           
            3.5717E2  | 
           
            3.6627E2  | 
         
         
          |  
            0.55  | 
           
            2.3821E2  | 
           
            2.5746E2  | 
           
            2.7422E2  | 
           
            2.8916E2  | 
           
            3.0271E2  | 
           
            3.1515E2  | 
           
            3.2668E2  | 
           
            3.3746E2  | 
           
            3.4759E2  | 
           
            3.5717E2  | 
           
            3.6627E2  | 
         
         
          |  
            0.60  | 
           
            2.3820E2  | 
           
            2.5745E2  | 
           
            2.7421E2  | 
           
            2.8915E2  | 
           
            3.0270E2  | 
           
            3.1514E2  | 
           
            3.2668E2  | 
           
            3.3745E2  | 
           
            3.4759E2  | 
           
            3.5716E2  | 
           
            3.6626E2  | 
         
         
          |  
            0.65  | 
           
            2.3819E2  | 
           
            2.5744E2  | 
           
            2.7420E2  | 
           
            2.8914E2  | 
           
            3.0269E2  | 
           
            3.1513E2  | 
           
            3.2667E2  | 
           
            3.3745E2  | 
           
            3.4758E2  | 
           
            3.5716E2  | 
           
            3.6625E2  | 
         
         
          |  
            0.70  | 
           
            2.3817E2  | 
           
            2.5742E2  | 
           
            2.7418E2  | 
           
            2.8912E2  | 
           
            3.0268E2  | 
           
            3.1512E2  | 
           
            3.2666E2  | 
           
            3.3744E2  | 
           
            3.4757E2  | 
           
            3.5715E2  | 
           
            3.6624E2  | 
         
         
          |  
            0.75  | 
           
            2.3815E2  | 
           
            2.5739E2  | 
           
            2.7416E2  | 
           
            2.8911E2  | 
           
            3.0266E2  | 
           
            3.1511E2  | 
           
            3.2665E2  | 
           
            3.3742E2  | 
           
            3.4756E2  | 
           
            3.5713E2  | 
           
            3.6622E2  | 
         
         
          |  
            0.80  | 
           
            2.3812E2  | 
           
            2.5736E2  | 
           
            2.7413E2  | 
           
            2.8909E2  | 
           
            3.0265E2  | 
           
            3.1510E2  | 
           
            3.2663E2  | 
           
            3.3741E2  | 
           
            3.4753E2  | 
           
            3.5711E2  | 
           
            3.6621E2  | 
         
         
          |  
            0.85  | 
           
            2.3806E2  | 
           
            2.5731E2  | 
           
            2.7410E2  | 
           
            2.8907E2  | 
           
            3.0264E2  | 
           
            3.1509E2  | 
           
            3.2662E2  | 
           
            3.3738E2  | 
           
            3.4751E2  | 
           
            3.5709E2  | 
           
            3.6617E2  | 
         
         
          |  
            0.90  | 
           
            2.3798E2  | 
           
            2.5725E2  | 
           
            2.7406E2  | 
           
            2.8905E2  | 
           
            3.0263E2  | 
           
            3.1508E2  | 
           
            3.2660E2  | 
           
            3.3735E2  | 
           
            3.4748E2  | 
           
            3.5706E2  | 
           
            3.6611E2  | 
         
         
          |  
            0.95  | 
           
            2.3787E2  | 
           
            2.5718E2  | 
           
            2.7402E2  | 
           
            2.8903E2  | 
           
            3.0262E2  | 
           
            3.1508E2  | 
           
            3.2658E2  | 
           
            3.3731E2  | 
           
            3.4744E2  | 
           
            3.5702E2  | 
           
            3.6604E2  | 
         
         
          |  
            1.00  | 
           
            2.3775E2  | 
           
            2.5708E2  | 
           
            2.7396E2  | 
           
            2.8900E2  | 
           
            3.0261E2  | 
           
            3.1507E2  | 
           
            3.2656E2  | 
           
            3.3726E2  | 
           
            3.4737E2  | 
           
            3.5695E2  | 
           
            3.6601E2  | 
          
          |  
            1.05  | 
           
            2.3758E2  | 
           
            2.5696E2  | 
           
            2.7388E2  | 
           
            2.8896E2  | 
           
            3.0260E2  | 
           
            3.1506E2  | 
           
            3.2652E2  | 
           
            3.3720E2  | 
           
            3.4731E2  | 
           
            3.5689E2  | 
           
            3.6586E2  | 
         
         
          |  
            1.10  | 
           
            2.3743E2  | 
           
            2.5681E2  | 
           
            2.7378E2  | 
           
            2.8890E2  | 
           
            3.0256E2  | 
           
            3.1504E2  | 
           
            3.2649E2  | 
           
            3.3712E2  | 
           
            3.4725E2  | 
           
            3.5688E2  | 
           
            3.6562E2  | 
         
         
          |  
            1.15  | 
           
            2.3720E2  | 
           
            2.5668E2  | 
           
            2.7366E2  | 
           
            2.8881E2  | 
           
            3.0251E2  | 
           
            3.1500E2  | 
           
            3.2645E2  | 
           
            3.3705E2  | 
           
            3.4714E2  | 
           
            3.5674E2  | 
           
            3.6551E2  | 
          
          |  
            1.20  | 
           
            2.3705E2  | 
           
            2.5649E2  | 
           
            2.7350E2  | 
           
            2.8868E2  | 
           
            3.0242E2  | 
           
            3.1494E2  | 
           
            3.2638E2  | 
           
            3.3697E2  | 
           
            3.4707E2  | 
           
            3.5670E2  | 
           
            3.6518E2  | 
         
         
          |  
            1.25  | 
           
            2.3680E2  | 
           
            2.5633E2  | 
           
            2.7335E2  | 
           
            2.8851E2  | 
           
            3.0225E2  | 
           
            3.1476E2  | 
           
            3.2620E2  | 
           
            3.3684E2  | 
           
            3.4696E2  | 
           
            3.5652E2  | 
           
            3.6493E2  | 
         
         
          |  
            1.30  | 
           
            2.3658E2  | 
           
            2.5608E2  | 
           
            2.7316E2  | 
           
            2.8838E2  | 
           
            3.0212E2  | 
           
            3.1461E2  | 
           
            3.2597E2  | 
           
            3.3652E2  | 
           
            3.4674E2  | 
           
            3.5651E2  | 
           
            3.6526E2  | 
         
         
          |  
            1.35  | 
           
            2.3638E2  | 
           
            2.5588E2  | 
           
            2.7293E2  | 
           
            2.8814E2  | 
           
            3.0189E2  | 
           
            3.1438E2  | 
           
            3.2575E2  | 
           
            3.3625E2  | 
           
            3.4636E2  | 
           
            3.5600E2  | 
           
            3.6408E2  | 
         
         
          |  
            1.40  | 
           
            2.3600E2  | 
           
            2.5563E2  | 
           
            2.7273E2  | 
           
            2.8797E2  | 
           
            3.0170E2  | 
           
            3.1413E2  | 
           
            3.2543E2  | 
           
            3.3585E2  | 
           
            3.4600E2  | 
           
            3.5582E2  | 
           
            3.6411E2  | 
         
         
          |  
            1.45  | 
           
            2.3572E2  | 
           
            2.5530E2  | 
           
            2.7240E2  | 
           
            2.8766E2  | 
           
            3.0141E2  | 
           
            3.1386E2  | 
           
            3.2518E2  | 
           
            3.3561E2  | 
           
            3.4578E2  | 
           
            3.5554E2  | 
           
            3.6360E2  | 
         
         
          |  
            1.50  | 
           
            2.3542E2  | 
           
            2.5496E2  | 
           
            2.7207E2  | 
           
            2.8737E2  | 
           
            3.0110E2  | 
           
            3.1351E2  | 
           
            3.2473E2  | 
           
            3.3501E2  | 
           
            3.4545E2  | 
           
            3.5567E2  | 
           
            3.6325E2  | 
         
         
          |  
            1.55  | 
           
            2.3509E2  | 
           
            2.5452E2  | 
           
            2.7163E2  | 
           
            2.8693E2  | 
           
            3.0071E2  | 
           
            3.1315E2  | 
           
            3.2431E2  | 
           
            3.3435E2  | 
           
            3.4450E2  | 
           
            3.5458E2  | 
           
            3.6162E2  | 
         
         
          |  
            1.60  | 
           
            2.3489E2  | 
           
            2.5398E2  | 
           
            2.7108E2  | 
           
            2.8647E2  | 
           
            3.0029E2  | 
           
            3.1273E2  | 
           
            3.2383E2  | 
           
            3.3365E2  | 
           
            3.4378E2  | 
           
            3.5387E2  | 
           
            3.5977E2  | 
         
         
          |  
            1.65  | 
           
            2.3443E2  | 
           
            2.5351E2  | 
           
            2.7044E2  | 
           
            2.8575E2  | 
           
            2.9970E2  | 
           
            3.1227E2  | 
           
            3.2344E2  | 
           
            3.3317E2  | 
           
            3.4303E2  | 
           
            3.5274E2  | 
           
            3.5587E2  | 
         
         
          |  
            1.70  | 
           
            2.3391E2  | 
           
            2.5288E2  | 
           
            2.6974E2  | 
           
            2.8500E2  | 
           
            2.9898E2  | 
           
            3.1167E2  | 
           
            3.2279E2  | 
           
            3.3231E2  | 
           
            3.4229E2  | 
           
            3.5220E2  | 
           
            3.5484E2  | 
         
         
          |  
            1.75  | 
           
            2.3361E2  | 
           
            2.5216E2  | 
           
            2.6869E2  | 
           
            2.8392E2  | 
           
            2.9817E2  | 
           
            3.1109E2  | 
           
            3.2204E2  | 
           
            3.3074E2  | 
           
            3.4002E2  | 
           
            3.4957E2  | 
           
            3.4988E2  | 
         
         
          |  
            1.80  | 
           
            2.3347E2  | 
           
            2.5126E2  | 
           
            2.6746E2  | 
           
            2.8258E2  | 
           
            2.9710E2  | 
           
            3.1061E2  | 
           
            3.2178E2  | 
           
            3.2993E2  | 
           
            3.3901E2  | 
           
            3.4820E2  | 
           
            3.4266E2  | 
         
         
          |  
            1.85  | 
           
            2.3303E2  | 
           
            2.5049E2  | 
           
            2.6634E2  | 
           
            2.8112E2  | 
           
            2.9536E2  | 
           
            3.0887E2  | 
           
            3.2015E2  | 
           
            3.2750E2  | 
           
            3.3652E2  | 
           
            3.4586E2  | 
            | 
         
         
          |  
            1.90  | 
           
            2.3271E2  | 
           
            2.4913E2  | 
           
            2.6506E2  | 
           
            2.7998E2  | 
           
            2.9410E2  | 
           
            3.0749E2  | 
           
            3.1880E2  | 
           
            3.2582E2  | 
            | 
            | 
            | 
         
         
          |  
            1.95  | 
           
            2.3118E2  | 
           
            2.4813E2  | 
           
            2.6385E2  | 
           
            2.7836E2  | 
           
            2.9219E2  | 
           
            3.0559E2  | 
           
            3.1689E2  | 
            | 
            | 
            | 
            | 
         
         
          |  
            2.00  | 
           
            2.3065E2  | 
           
            2.4590E2  | 
           
            2.6208E2  | 
           
            2.7656E2  | 
           
            2.8984E2  | 
            | 
            | 
            | 
            | 
            | 
            | 
         
         
          |  
            2.05  | 
           
            2.2871E2  | 
           
            2.4474E2  | 
           
            2.6010E2  | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
         
         
          |  
            2.10  | 
           
            2.2793E2  | 
           
            2.4309E2  | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
         
        
       
      
      
        
      
        
      
         
          | Table 
            5. Thermal expansion coefficient (K-1) | 
         
         
          | Temp. | 
          Pressure 
            (atm) | 
         
         
          |  (K)  | 
           .00  | 
           2.50  | 
           5.00  | 
           7.50  | 
           10.00  | 
           12.50  | 
           15.00  | 
           17.50  | 
           20.00  | 
           22.50  | 
           25.00  | 
         
         
            
             
            0.10  | 
            
             
            1.138E-6  | 
            
             
            7.258E-7  | 
            
             
            5.025E-7  | 
            
             
            3.682E-7  | 
            
             
            2.813E-7  | 
            
             
            2.219E-7  | 
            
             
            1.795E-7  | 
            
             
            1.482E-7  | 
            
             
            1.244E-7  | 
            
             
            1.054E-7  | 
            
             
            9.090E-8  | 
         
         
          |  
            0.15  | 
           
            3.761E-6  | 
           
            2.419E-6  | 
           
            1.683E-6  | 
           
            1.237E-6  | 
           
            9.469E-7  | 
           
            7.478E-7  | 
           
            6.054E-7  | 
           
            5.001E-7  | 
           
            4.201E-7  | 
           
            3.559E-7  | 
           
            3.071E-7  | 
         
         
          |  
            0.20  | 
           
            8.682E-6  | 
           
            5.644E-6  | 
           
            3.952E-6  | 
           
            2.916E-6  | 
           
            2.237E-6  | 
           
            1.770E-6  | 
           
            1.434E-6  | 
           
            1.185E-6  | 
           
            9.964E-7  | 
           
            8.445E-7  | 
           
            7.290E-7  | 
         
         
          |  
            0.25  | 
           
            1.646E-5  | 
           
            1.082E-5  | 
           
            7.632E-6  | 
           
            5.657E-6  | 
           
            4.353E-6  | 
           
            3.449E-6  | 
           
            2.799E-6  | 
           
            2.316E-6  | 
           
            1.948E-6  | 
           
            1.652E-6  | 
           
            1.426E-6  | 
         
         
          |  
            0.30  | 
           
            2.750E-5  | 
           
            1.833E-5  | 
           
            1.303E-5  | 
           
            9.703E-6  | 
           
            7.491E-6  | 
           
            5.948E-6  | 
           
            4.834E-6  | 
           
            4.004E-6  | 
           
            3.370E-6  | 
           
            2.859E-6  | 
           
            2.470E-6  | 
         
         
          |  
            0.35  | 
           
            4.219E-5  | 
           
            2.847E-5  | 
           
            2.041E-5  | 
           
            1.528E-5  | 
           
            1.184E-5  | 
           
            9.424E-6  | 
           
            7.669E-6  | 
           
            6.358E-6  | 
           
            5.353E-6  | 
           
            4.541E-6  | 
           
            3.919E-6  | 
         
         
          |  
            0.40  | 
           
            6.075E-5  | 
           
            4.153E-5  | 
           
            3.002E-5  | 
           
            2.260E-5  | 
           
            1.757E-5  | 
           
            1.400E-5  | 
           
            1.140E-5  | 
           
            9.444E-6  | 
           
            7.931E-6  | 
           
            6.694E-6  | 
           
            5.732E-6  | 
         
         
          |  
            0.45  | 
           
            8.335E-5  | 
           
            5.770E-5  | 
           
            4.201E-5  | 
           
            3.176E-5  | 
           
            2.471E-5  | 
           
            1.968E-5  | 
           
            1.596E-5  | 
           
            1.312E-5  | 
           
            1.086E-5  | 
           
            8.978E-6  | 
           
            7.407E-6  | 
         
         
          |  
            0.50  | 
           
            1.101E-4  | 
           
            7.691E-5  | 
           
            5.623E-5  | 
           
            4.248E-5  | 
           
            3.290E-5  | 
           
            2.596E-5  | 
           
            2.075E-5  | 
           
            1.660E-5  | 
           
            1.314E-5  | 
           
            1.012E-5  | 
           
            7.271E-6  | 
         
         
          |  
            0.55  | 
           
            1.408E-4  | 
           
            9.866E-5  | 
           
            7.181E-5  | 
           
            5.365E-5  | 
           
            4.083E-5  | 
           
            3.141E-5  | 
           
            2.408E-5  | 
           
            1.781E-5  | 
           
            1.232E-5  | 
           
            7.153E-6  | 
           
            1.361E-6  | 
         
         
          |  
            0.60  | 
           
            1.749E-4  | 
           
            1.214E-4  | 
           
            8.655E-5  | 
           
            6.270E-5  | 
           
            4.572E-5  | 
           
            3.287E-5  | 
           
            2.249E-5  | 
           
            1.297E-5  | 
           
            -3.806E-6  | 
           
            -5.229E-6  | 
           
            -1.709E-5  | 
         
         
          |  
            0.65  | 
           
            2.112E-4  | 
           
            1.422E-4  | 
           
            9.653E-5  | 
           
            6.493E-5  | 
           
            4.249E-5  | 
           
            2.554E-5  | 
           
            1.069E-5  | 
           
            4.306E-6  | 
           
            -1.998E-5  | 
           
            -3.601E-5  | 
           
            -5.501E-5  | 
         
         
          |  
            0.70  | 
           
            2.497E-4  | 
           
            1.561E-4  | 
           
            9.537E-5  | 
           
            5.402E-5  | 
           
            2.419E-5  | 
           
            1.493E-6  | 
           
            -1.924E-5  | 
           
            -4.238E-5  | 
           
            -6.654E-5  | 
           
            -9.307E-5  | 
           
            -1.279E-4  | 
         
         
          |  
            0.75  | 
           
            2.818E-4  | 
           
            1.599E-4  | 
           
            7.569E-5  | 
           
            2.037E-5  | 
           
            -1.767E-5  | 
           
            -4.729E-5  | 
           
            -7.539E-5  | 
           
            -1.098E-4  | 
           
            -1.496E-4  | 
           
            -1.965E-4  | 
           
            -2.399E-4  | 
         
         
          |  
            0.80  | 
           
            3.213E-4  | 
           
            1.370E-4  | 
           
            2.509E-5  | 
           
            -4.430E-5  | 
           
            -9.283E-5  | 
           
            -1.319E-4  | 
           
            -1.694E-4  | 
           
            -2.190E-4  | 
           
            -2.785E-4  | 
           
            -3.412E-4  | 
           
            -4.180E-4  | 
         
         
          |  
            0.85  | 
           
            3.450E-4  | 
           
            9.001E-5  | 
           
            -6.036E-5  | 
           
            -1.533E-4  | 
           
            -2.133E-4  | 
           
            -2.590E-4  | 
           
            -3.084E-4  | 
           
            -3.799E-4  | 
           
            -4.664E-4  | 
           
            -5.494E-4  | 
           
            -6.761E-4  | 
         
         
          |  
            0.90  | 
           
            3.598E-4  | 
           
            -2.900E-6  | 
           
            -1.943E-4  | 
           
            -3.099E-4  | 
           
            -3.864E-4  | 
           
            -4.410E-4  | 
           
            -5.061E-4  | 
           
            -6.013E-4  | 
           
            -7.212E-4  | 
           
            -8.463E-4  | 
           
            -1.005E-3  | 
         
         
          |  
            0.95  | 
           
            3.497E-4  | 
           
            -1.128E-4  | 
           
            -3.747E-4  | 
           
            -5.261E-4  | 
           
            -6.157E-4  | 
           
            -6.856E-4  | 
           
            -7.746E-4  | 
           
            -8.950E-4  | 
           
            -1.056E-3  | 
           
            -1.234E-3  | 
           
            -1.389E-3  | 
         
         
          |  
            1.00  | 
           
            3.294E-4  | 
           
            -2.673E-4  | 
           
            -6.053E-4  | 
           
            -7.986E-4  | 
           
            -9.087E-4  | 
           
            -9.983E-4  | 
           
            -1.110E-3  | 
           
            -1.268E-3  | 
           
            -1.474E-3  | 
           
            -1.679E-3  | 
           
            -1.922E-3  | 
         
         
          |  
            1.05  | 
           
            2.495E-4  | 
           
            -4.329E-4  | 
           
            -8.585E-4  | 
           
            -1.105E-3  | 
           
            -1.259E-3  | 
           
            -1.392E-3  | 
           
            -1.520E-3  | 
           
            -1.730E-3  | 
           
            -1.993E-3  | 
           
            -2.176E-3  | 
           
            -2.588E-3  | 
         
         
          |  
            1.10  | 
           
            1.225E-4  | 
           
            -6.585E-4  | 
           
            -1.126E-3  | 
           
            -1.446E-3  | 
           
            -1.668E-3  | 
           
            -1.839E-3  | 
           
            -2.040E-3  | 
           
            -2.287E-3  | 
           
            -2.588E-3  | 
           
            -2.908E-3  | 
           
            -3.292E-3  | 
         
         
          |  
            1.15  | 
           
            4.805E-6  | 
           
            -8.227E-4  | 
           
            -1.404E-3  | 
           
            -1.833E-3  | 
           
            -2.150E-3  | 
           
            -2.405E-3  | 
           
            -2.660E-3  | 
           
            -2.953E-3  | 
           
            -3.309E-3  | 
           
            -3.656E-3  | 
           
            -4.233E-3  | 
         
         
          |  
            1.20  | 
           
            -2.215E-4  | 
           
            -1.086E-3  | 
           
            -1.738E-3  | 
           
            -2.261E-3  | 
           
            -2.684E-3  | 
           
            -3.020E-3  | 
           
            -3.370E-3  | 
           
            -3.768E-3  | 
           
            -4.192E-3  | 
           
            -4.716E-3  | 
           
            -5.387E-3  | 
         
         
          |  
            1.25  | 
           
            -4.523E-4  | 
           
            -1.510E-3  | 
           
            -2.174E-3  | 
           
            -2.649E-3  | 
           
            -3.080E-3  | 
           
            -3.548E-3  | 
           
            -4.100E-3  | 
           
            -4.733E-3  | 
           
            -5.367E-3  | 
           
            -5.922E-3  | 
           
            -6.283E-3  | 
         
         
          |  
            1.30  | 
           
            -7.342E-4  | 
           
            -1.715E-3  | 
           
            -2.578E-3  | 
           
            -3.289E-3  | 
           
            -3.903E-3  | 
           
            -4.480E-3  | 
           
            -5.050E-3  | 
           
            -5.721E-3  | 
           
            -6.516E-3  | 
           
            -7.377E-3  | 
           
            -8.599E-3  | 
         
         
          |  
            1.35  | 
           
            -1.117E-3  | 
           
            -2.387E-3  | 
           
            -3.272E-3  | 
           
            -4.011E-3  | 
           
            -4.662E-3  | 
           
            -5.330E-3  | 
           
            -6.110E-3  | 
           
            -6.942E-3  | 
           
            -7.910E-3  | 
           
            -8.883E-3  | 
           
            -9.883E-3  | 
         
         
          |  
            1.40  | 
           
            -1.387E-3  | 
           
            -2.930E-3  | 
           
            -4.011E-3  | 
           
            -4.904E-3  | 
           
            -5.710E-3  | 
           
            -6.548E-3  | 
           
            -7.460E-3  | 
           
            -8.410E-3  | 
           
            -9.511E-3  | 
           
            -1.067E-2  | 
           
            -1.187E-2  | 
         
         
          |  
            1.45  | 
           
            -1.994E-3  | 
           
            -3.458E-3  | 
           
            -4.748E-3  | 
           
            -5.843E-3  | 
           
            -6.839E-3  | 
           
            -7.914E-3  | 
           
            -9.020E-3  | 
           
            -1.032E-2  | 
           
            -1.181E-2  | 
           
            -1.316E-2  | 
           
            -1.520E-2  | 
         
         
          |  
            1.50  | 
           
            -2.417E-3  | 
           
            -4.111E-3  | 
           
            -5.605E-3  | 
           
            -6.933E-3  | 
           
            -8.210E-3  | 
           
            -9.478E-3  | 
           
            -1.079E-2  | 
           
            -1.237E-2  | 
           
            -1.424E-2  | 
           
            -1.618E-2  | 
           
            -1.885E-2  | 
         
         
          |  
            1.55  | 
           
            -2.937E-3  | 
           
            -4.713E-3  | 
           
            -6.618E-3  | 
           
            -8.284E-3  | 
           
            -9.789E-3  | 
           
            -1.122E-2  | 
           
            -1.267E-2  | 
           
            -1.433E-2  | 
           
            -1.636E-2  | 
           
            -1.886E-2  | 
           
            -2.267E-2  | 
         
         
          |  
            1.60  | 
           
            -3.579E-3  | 
           
            -5.508E-3  | 
           
            -7.717E-3  | 
           
            -9.809E-3  | 
           
            -1.167E-2  | 
           
            -1.340E-2  | 
           
            -1.510E-2  | 
           
            -1.699E-2  | 
           
            -1.948E-2  | 
           
            -2.258E-2  | 
           
            -2.800E-2  | 
         
         
          |  
            1.65  | 
           
            -3.965E-3  | 
           
            -6.625E-3  | 
           
            -9.036E-3  | 
           
            -1.146E-2  | 
           
            -1.389E-2  | 
           
            -1.605E-2  | 
           
            -1.819E-2  | 
           
            -2.062E-2  | 
           
            -2.357E-2  | 
           
            -2.728E-2  | 
           
            -3.294E-2  | 
         
         
          |  
            1.70  | 
           
            -5.155E-3  | 
           
            -7.651E-3  | 
           
            -1.048E-2  | 
           
            -1.351E-2  | 
           
            -1.647E-2  | 
           
            -1.917E-2  | 
           
            -2.176E-2  | 
           
            -2.468E-2  | 
           
            -2.861E-2  | 
           
            -3.375E-2  | 
           
            -4.315E-2  | 
         
         
          |  
            1.75  | 
           
            -5.524E-3  | 
           
            -7.739E-3  | 
           
            -1.172E-2  | 
           
            -1.591E-2  | 
           
            -1.977E-2  | 
           
            -2.270E-2  | 
           
            -2.504E-2  | 
           
            -2.796E-2  | 
           
            -3.297E-2  | 
           
            -4.060E-2  | 
           
            -5.743E-2  | 
         
         
          |  
            1.80  | 
           
            -6.582E-3  | 
           
            -9.490E-3  | 
           
            -1.368E-2  | 
           
            -1.847E-2  | 
           
            -2.307E-2  | 
           
            -2.680E-2  | 
           
            -3.012E-2  | 
           
            -3.466E-2  | 
           
            -4.242E-2  | 
           
            -5.375E-2  | 
           
            -7.711E-2  | 
         
         
          |  
            1.85  | 
           
            -7.929E-3  | 
           
            -1.150E-2  | 
           
            -1.651E-2  | 
           
            -2.106E-2  | 
           
            -2.530E-2  | 
           
            -2.986E-2  | 
           
            -3.538E-2  | 
           
            -4.306E-2  | 
           
            -5.537E-2  | 
           
            -7.240E-2  | 
            | 
         
         
          |  
            1.90  | 
           
            -8.732E-3  | 
           
            -1.440E-2  | 
           
            -1.943E-2  | 
           
            -2.440E-2  | 
           
            -2.978E-2  | 
           
            -3.664E-2  | 
           
            -4.585E-2  | 
           
            -5.877E-2  | 
            | 
            | 
            | 
         
         
          |  
            1.95  | 
           
            -1.031E-2  | 
           
            -1.659E-2  | 
           
            -2.270E-2  | 
           
            -2.871E-2  | 
           
            -3.652E-2  | 
           
            -4.745E-2  | 
           
            -6.173E-2  | 
            | 
            | 
            | 
            | 
         
         
          |  
            2.00  | 
           
            -1.128E-2  | 
           
            -1.897E-2  | 
           
            -2.610E-2  | 
           
            -3.420E-2  | 
           
            -4.564E-2  | 
            | 
            | 
            | 
            | 
            | 
            | 
         
         
          |  
            2.05  | 
           
            -1.416E-2  | 
           
            -2.186E-2  | 
           
            -2.949E-2  | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
         
         
          |  
            2.10  | 
           
            -1.770E-2  | 
           
            -2.344E-2  | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
            | 
         
       
        
        
      
        
        
         
         |