Russell J. Donnelly
541-346-4226 (Tel)
541-346-5861 (Fax)


Table 1 : : 2 : : 3 : : 4 : : 5

The Calculated Thermodynamic Properties of Superfluid Helium-4
James S. Brooks and Russell J. Donnelly

Table 11. . Specific heat at constant volume (J g-1 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












0.15 6.8827E-5 5.3569E-5 4.3498E-5 3.6449E-5 3.1241E-5 2.7256E-5 2.4116E-5 2.1583E-5 1.9494E-5 1.7747E-5 1.6263E-5
0.20 1.6143E-4 1.2631E-4 1.0296E-4 8.6429E-5 7.4178E-5 6.4773E-5 5.7348E-5 5.1350E-5 4.6413E-5 4.2283E-5 3.8781E-5
0.25 3.1144E-4 2.4535E-4 2.0075E-4 1.6891E-4 1.4516E-4 1.2687E-4 1.1239E-4 1.0068E-4 9.1019E-5 8.2932E-5 7.6069E-5
0.30 5.3134E-4 4.2159E-4 3.4639E-4 2.9216E-4 2.5148E-4 2.2000E-4 1.9501E-4 1.7475E-4 1.5802E-4 1.4400E-4 1.3208E-4
0.35 8.3306E-4 6.6581E-4 5.4948E-4 4.6471E-4 4.0070E-4 3.5098E-4 3.1140E-4 2.7928E-4 2.5274E-4 2.3051E-4 2.1171E-4
0.40 1.2284E-3 9.8937E-4 8.2061E-4 6.9653E-4 6.0239E-4 5.2919E-4 4.7097E-4 4.2401E-4 3.8581E-4 3.5472E-4 3.2915E-4
0.45 1.7327E-3 1.4077E-3 1.1760E-3 1.0058E-3 8.7705E-4 7.7782E-4 7.0118E-4 6.4130E-4 5.9556E-4 5.6182E-4 5.3959E-4
0.50 2.3749E-3 1.9530E-3 1.6557E-3 1.4403E-3 1.2825E-3 1.1677E-3 1.0838E-3 1.0280E-3 9.9665E-4 9.8834E-4 1.0069E-3
0.55 3.2200E-3 2.7068E-3 2.3569E-3 2.1210E-3 1.9642E-3 1.8694E-3 1.8204E-3 1.8147E-3 1.8535E-3 1.9388E-3 2.0859E-3
0.60 4.4293E-3 3.8393E-3 3.4840E-3 3.2928E-3 3.2148E-3 3.2156E-3 3.2847E-3 3.4256E-3 3.6485E-3 3.9671E-3 4.3823E-3
0.65 6.2754E-3 5.6529E-3 5.3993E-3 5.3742E-3 5.5071E-3 5.7552E-3 6.0901E-3 6.5498E-3 7.1342E-3 7.8673E-3 8.7987E-3
0.70 9.1734E-3 8.6487E-3 8.6463E-3 9.0030E-3 9.5489E-3 1.0265E-2 1.1075E-2 1.2077E-2 1.3259E-2 1.4747E-2 1.6498E-2
0.75 1.3830E-2 1.3472E-2 1.4016E-2 1.5026E-2 1.6267E-2 1.7726E-2 1.9328E-2 2.1161E-2 2.3310E-2 2.5873E-2 2.8820E-2
0.80 2.1058E-2 2.1079E-2 2.2425E-2 2.4426E-2 2.6776E-2 2.9301E-2 3.2024E-2 3.5021E-2 3.8572E-2 4.2554E-2 4.7252E-2
0.85 3.1759E-2 3.2527E-2 3.5068E-2 3.8408E-2 4.2234E-2 4.6237E-2 5.0424E-2 5.5037E-2 6.0280E-2 6.6287E-2 7.3208E-2
0.90 4.7598E-2 4.9215E-2 5.3154E-2 5.8245E-2 6.3830E-2 6.9690E-2 7.5851E-2 8.2618E-2 8.9913E-2 9.8511E-2 1.0767E-1
0.95 7.0005E-2 7.2512E-2 7.8023E-2 8.5160E-2 9.2937E-2 1.0092E-1 1.0950E-1 1.1869E-1 1.2873E-1 1.4003E-1 1.5225E-1
1.00 1.0504E-1 1.0893E-1 1.1564E-1 1.2418E-1 1.3393E-1 1.4449E-1 1.5582E-1 1.6797E-1 1.8135E-1 1.9588E-1 2.1193E-1
1.05 1.4650E-1 1.5145E-1 1.5916E-1 1.6919E-1 1.8117E-1 1.9456E-1 2.0916E-1 2.2482E-1 2.4177E-1 2.6007E-1 2.8043E-1
1.10 1.9816E-1 2.0456E-1 2.1342E-1 2.2498E-1 2.3926E-1 2.5576E-1 2.7380E-1 2.9383E-1 3.1497E-1 3.3814E-1 3.6419E-1
1.15 2.6074E-1 2.6933E-1 2.8047E-1 2.9375E-1 3.0938E-1 3.2762E-1 3.4867E-1 3.7315E-1 4.0014E-1 4.2974E-1 4.6027E-1
1.20 3.3523E-1 3.4559E-1 3.5856E-1 3.7445E-1 3.9314E-1 4.1524E-1 4.4072E-1 4.6971E-1 5.0271E-1 5.3958E-1 5.8045E-1
1.25 4.2128E-1 4.3523E-1 4.5245E-1 4.7252E-1 4.9550E-1 5.2151E-1 5.5174E-1 5.8598E-1 6.2517E-1 6.6976E-1 7.1924E-1
1.30 5.2642E-1 5.4326E-1 5.6513E-1 5.9076E-1 6.1995E-1 6.5259E-1 6.9020E-1 7.3168E-1 7.7802E-1 8.3001E-1 8.8619E-1
1.35 6.5752E-1 6.7786E-1 7.0383E-1 7.3540E-1 7.7206E-1 8.1347E-1 8.6039E-1 9.1158E-1 9.6938E-1 1.0339E0 1.1076E0
1.40 8.0923E-1 8.3311E-1 8.6374E-1 9.0075E-1 9.4394E-1 9.9358E-1 1.0497E0 1.1124E0 1.1844E0 1.2653E0 1.3577E0
1.45 9.7015E-1 9.9588E-1 1.0293E0 1.0725E0 1.1243E0 1.1846E0 1.2506E0 1.3231E0 1.4038E0 1.4981E0 1.6116E0
1.50 1.1334E0 1.1626E0 1.2003E0 1.2508E0 1.3128E0 1.3841E0 1.4619E0 1.5459E0 1.6373E0 1.7451E0 1.8818E0
1.55 1.3169E0 1.3493E0 1.3938E0 1.4525E0 1.5265E0 1.6132E0 1.7076E0 1.8116E0 1.9216E0 2.0479E0 2.1986E0
1.60 1.5506E0 1.5905E0 1.6423E0 1.7105E0 1.7982E0 1.9024E0 2.0192E0 2.1475E0 2.2859E0 2.4456E0 2.6350E0
1.65 1.8494E0 1.8876E0 1.9400E0 2.0176E0 2.1222E0 2.2487E0 2.3854E0 2.5297E0 2.6880E0 2.8851E0 3.1672E0
1.70 2.1868E0 2.2301E0 2.2891E0 2.3776E0 2.4987E0 2.6461E0 2.8063E0 2.9789E0 3.1757E0 3.4372E0 3.8086E0
1.75 2.5464E0 2.6066E0 2.6840E0 2.7871E0 2.9109E0 3.0605E0 3.2422E0 3.4611E0 3.7308E0 4.0964E0 4.5170E0
1.80 2.9278E0 3.0064E0 3.1132E0 3.2333E0 3.3655E0 3.5295E0 3.7607E0 4.0750E0 4.4834E0 4.9978E0 5.4955E0
1.85 3.3332E0 3.4363E0 3.5720E0 3.7195E0 3.8858E0 4.1114E0 4.4494E0 4.9275E0 5.5318E0 6.2190E0  
1.90 3.8614E0 3.9637E0 4.1114E0 4.2858E0 4.5065E0 4.8307E0 5.3017E0 5.9501E0      
1.95 4.5113E0 4.6182E0 4.7604E0 4.9550E0 5.2460E0 5.6713E0 6.2825E0        
2.00 5.1900E0 5.3031E0 5.4286E0 5.6327E0 5.9711E0            
2.05 5.9009E0 6.0686E0 6.1916E0                
2.10 6.6428E0 6.8086E0                  


Table 12. Ratio of specific heats (Cp/Cv)
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












0.15 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.20 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.25 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.30 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.35 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.40 1.0001E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.45 1.0001E0 1.0001E0 1.0001E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.50 1.0001E0 1.0001E0 1.0001E0 1.0001E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.55 1.0002E0 1.0001E0 1.0001E0 1.0001E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.60 1.0002E0 1.0002E0 1.0001E0 1.0001E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.65 1.0003E0 1.0002E0 1.0001E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0
0.70 1.0003E0 1.0001E0 1.0001E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0001E0 1.0001E0
0.75 1.0002E0 1.0001E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0001E0 1.0001E0 1.0002E0
0.80 1.0002E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0000E0 1.0001E0 1.0001E0 1.0002E0 1.0003E0 1.0004E0
0.85 1.0002E0 1.0000E0 1.0000E0 1.0000E0 1.0001E0 1.0001E0 1.0002E0 1.0003E0 1.0004E0 1.0005E0 1.0007E0
0.90 1.0001E0 1.0000E0 1.0000E0 1.0001E0 1.0002E0 1.0002E0 1.0003E0 1.0004E0 1.0006E0 1.0008E0 1.0011E0
0.95 1.0001E0 1.0000E0 1.0001E0 1.0003E0 1.0004E0 1.0004E0 1.0006E0 1.0007E0 1.0010E0 1.0013E0 1.0016E0
1.00 1.0001E0 1.0000E0 1.0002E0 1.0004E0 1.0006E0 1.0007E0 1.0008E0 1.0011E0 1.0014E0 1.0018E0 1.0023E0
1.05 1.0000E0 1.0001E0 1.0004E0 1.0006E0 1.0008E0 1.0010E0 1.0012E0 1.0016E0 1.0021E0 1.0024E0 1.0033E0
1.10 1.0000E0 1.0002E0 1.0005E0 1.0009E0 1.0012E0 1.0014E0 1.0018E0 1.0022E0 1.0028E0 1.0035E0 1.0044E0
1.15 1.0000E0 1.0002E0 1.0006E0 1.0011E0 1.0016E0 1.0020E0 1.0025E0 1.0030E0 1.0038E0 1.0045E0 1.0059E0
1.20 1.0000E0 1.0003E0 1.0008E0 1.0014E0 1.0020E0 1.0026E0 1.0033E0 1.0041E0 1.0050E0 1.0063E0 1.0079E0
1.25 1.0000E0 1.0004E0 1.0010E0 1.0015E0 1.0022E0 1.0030E0 1.0040E0 1.0054E0 1.0069E0 1.0083E0 1.0091E0
1.30 1.0001E0 1.0005E0 1.0011E0 1.0020E0 1.0029E0 1.0039E0 1.0051E0 1.0065E0 1.0085E0 1.0107E0 1.0143E0
1.35 1.0001E0 1.0007E0 1.0015E0 1.0024E0 1.0035E0 1.0046E0 1.0062E0 1.0080E0 1.0103E0 1.0129E0 1.0155E0
1.40 1.0002E0 1.0009E0 1.0019E0 1.0031E0 1.0044E0 1.0059E0 1.0078E0 1.0099E0 1.0126E0 1.0157E0 1.0189E0
1.45 1.0003E0 1.0011E0 1.0024E0 1.0038E0 1.0055E0 1.0075E0 1.0099E0 1.0130E0 1.0170E0 1.0208E0 1.0268E0
1.00 1.0004E0 1.0014E0 1.0029E0 1.0047E0 1.0069E0 1.0095E0 1.0124E0 1.0164E0 1.0217E0 1.0277E0 1.0361E0
1.55 1.0006E0 1.0017E0 1.0036E0 1.0060E0 1.0087E0 1.0117E0 1.0151E0 1.0193E0 1.0250E0 1.0328E0 1.0454E0
1.60 1.0007E0 1.0020E0 1.0042E0 1.0073E0 1.0108E0 1.0145E0 1.0186E0 1.0234E0 1.0305E0 1.0402E0 1.0583E0
1.65 1.0008E0 1.0025E0 1.0051E0 1.0087E0 1.0133E0 1.0181E0 1.0234E0 1.0299E0 1.0387E0 1.0504E0 1.0672E0
1.70 1.0011E0 1.0028E0 1.0059E0 1.0105E0 1.0162E0 1.0224E0 1.0290E0 1.0370E0 1.0490E0 1.0656E0 1.0958E0
1.75 1.0011E0 1.0026E0 1.0064E0 1.0127E0 1.0205E0 1.0277E0 1.0340E0 1.0415E0 1.0559E0 1.0798E0 1.1382E0
1.80 1.0014E0 1.0034E0 1.0077E0 1.0149E0 1.0245E0 1.0342E0 1.0431E0 1.0548E0 1.0772E0 1.1137E0 1.1935E0
1.85 1.0019E0 1.0044E0 1.0099E0 1.0171E0 1.0259E0 1.0369E0 1.0508E0 1.0699E0 1.1052E0 1.1617E0  
1.90 1.0020E0 1.0061E0 1.0121E0 1.0203E0 1.0314E0 1.0477E0 1.0715E0 1.1060E0      
1.95 1.0024E0 1.0071E0 1.0145E0 1.0245E0 1.0407E0 1.0678E0 1.1074E0        
2.00 1.0026E0 1.0081E0 1.0169E0 1.0308E0 1.0556E0            
2.05 1.0036E0 1.0096E0 1.0191E0                
2.10 1.0051E0 1.0099E0                  


Table 13. Phonon number density (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












0.15 6.7739E16 5.3861E16 4.4667E16 3.8138E16 3.3264E16 2.9490E16 2.6483E16 2.4030E16 2.1992E16 2.0271E16 1.8800E16
0.20 1.5979E17 1.2738E17 1.0579E17 9.0395E16 7.8882E16 6.9953E16 6.2831E16 5.7019E16 5.2188E16 4.8108E16 4.4618E16
0.25 3.1034E17 2.4815E17 2.0642E17 1.7656E17 1.5416E17 1.3676E17 1.2287E17 1.1152E17 1.0208E17 9.4110E16 8.7288E16
0.30 5.3296E17 4.2760E17 3.5636E17 3.0513E17 2.6660E17 2.3661E17 2.1263E17 1.9304E17 1.7672E17 1.6294E17 1.5114E17
0.35 8.4081E17 6.7700E17 5.6537E17 4.8468E17 4.2379E17 3.7631E17 3.3828E17 3.0717E17 2.8126E17 2.5935E17 2.4058E17
0.40 1.2466E18 1.0075E18 8.4324E17 7.2385E17 6.3343E17 5.6276E17 5.0608E17 4.5966E17 4.2095E17 3.8821E17 3.6014E17
0.45 1.7628E18 1.4303E18 1.1998E18 1.0314E18 9.0338E17 8.0305E17 7.2245E17 6.5636E17 6.0121E17 5.5452E17 5.1448E17
0.50 2.4018E18 1.9564E18 1.6451E18 1.4163E18 1.2417E18 1.1045E18 9.9404E17 9.0336E17 8.2764E17 7.6348E17 7.0842E17
0.55 3.1754E18 2.5970E18 2.1892E18 1.8876E18 1.6566E18 1.4745E18 1.3277E18 1.2070E18 1.1061E18 1.0205E18 9.4699E17
0.60 4.0958E18 3.3634E18 2.8425E18 2.4549E18 2.1567E18 1.9210E18 1.7306E18 1.5738E18 1.4426E18 1.3312E18 1.2355E18
0.65 5.1751E18 4.2673E18 3.6157E18 3.1280E18 2.7510E18 2.4523E18 2.2103E18 2.0108E18 1.8436E18 1.7016E18 1.5794E18
0.70 6.4261E18 5.3205E18 4.5201E18 3.9171E18 3.4490E18 3.0768E18 2.7749E18 2.5254E18 2.3161E18 2.1381E18 1.9849E18
0.75 7.8612E18 6.5358E18 5.5672E18 4.8332E18 4.2607E18 3.8042E18 3.4329E18 3.1256E18 2.8674E18 2.6476E18 2.4582E18
0.80 9.4952E18 7.9260E18 6.7702E18 5.8879E18 5.1970E18 4.6442E18 4.1935E18 3.8199E18 3.5056E18 3.2376E18 3.0066E18
0.85 1.1342E19 9.5061E18 8.1415E18 7.0938E18 6.2696E18 5.6079E18 5.0671E18 4.6179E18 4.2394E18 3.9165E18 3.6377E18
0.90 1.3419E19 1.1291E19 9.6969E18 8.4647E18 7.4913E18 6.7069E18 6.0646E18 5.5300E18 5.0789E18 4.6934E18 4.3602E18
0.95 1.5743E19 1.3300E19 1.1452E19 1.0016E19 8.8760E18 7.9550E18 7.1987E18 6.5681E18 6.0350E18 5.5790E18 5.1842E18
1.00 1.8341E19 1.5552E19 1.3425E19 1.1764E19 1.0440E19 9.3667E18 8.4833E18 7.7453E18 7.1203E18 6.5849E18 6.1207E18
1.05 2.1234E19 1.8070E19 1.5637E19 1.3727E19 1.2200E19 1.0959E19 9.9341E18 9.0765E18 8.3490E18 7.7247E18 7.1830E18
1.10 2.4448E19 2.0879E19 1.8109E19 1.5926E19 1.4176E19 1.2749E19 1.1569E19 1.0579E19 9.7372E18 9.0139E18 8.3853E18
1.15 2.8009E19 2.3999E19 2.0864E19 1.8384E19 1.6389E19 1.4760E19 1.3408E19 1.2271E19 1.1304E19 1.0470E19 9.7448E18
1.20 3.1934E19 2.7459E19 2.3931E19 2.1127E19 1.8866E19 1.7014E19 1.5473E19 1.4176E19 1.3069E19 1.2114E19 1.1281E19
1.25 3.6255E19 3.1289E19 2.7342E19 2.4185E19 2.1631E19 1.9536E19 1.7791E19 1.6318E19 1.5057E19 1.3968E19 1.3016E19
1.30 4.1026E19 3.5519E19 3.1116E19 2.7585E19 2.4719E19 2.2360E19 2.0389E19 1.8723E19 1.7293E19 1.6056E19 1.4971E19
1.35 4.6251E19 4.0196E19 3.5312E19 3.1372E19 2.8164E19 2.5516E19 2.3300E19 2.1421E19 1.9808E19 1.8406E19 1.7177E19
1.40 5.2041E19 4.5375E19 3.9964E19 3.5583E19 3.2005E19 2.9043E19 2.6559E19 2.4446E19 2.2632E19 2.1049E19 1.9661E19
1.45 5.8432E19 5.1110E19 4.5130E19 4.0266E19 3.6284E19 3.2979E19 3.0204E19 2.7837E19 2.5797E19 2.4015E19 2.2445E19
1.50 6.5428E19 5.7404E19 5.0818E19 4.5448E19 4.1037E19 3.7367E19 3.4273E19 3.1633E19 2.9348E19 2.7351E19 2.5579E19
1.55 7.3026E19 6.4297E19 5.7078E19 5.1175E19 4.6309E19 4.2250E19 3.8816E19 3.5881E19 3.3333E19 3.1102E19 2.9111E19
1.60 8.1322E19 7.1851E19 6.3977E19 5.7512E19 5.2163E19 4.7684E19 4.3887E19 4.0626E19 3.7793E19 3.5297E19 3.3063E19
1.65 9.0455E19 8.0183E19 7.1610E19 6.4534E19 5.8663E19 5.3726E19 4.9538E19 4.5921E19 4.2772E19 3.9982E19 3.7474E19
1.70 1.0053E20 8.9391E19 8.0046E19 7.2320E19 6.5879E19 6.0458E19 5.5831E19 5.1828E19 4.8324E19 4.5197E19 4.2345E19
1.75 1.1159E20 9.9502E19 8.9345E19 8.0920E19 7.3886E19 6.7931E19 6.2840E19 5.8415E19 5.4527E19 5.1040E19 4.7796E19
1.80 1.2362E20 1.1062E20 9.9617E19 9.0450E19 8.2770E19 7.6243E19 7.0626E19 6.5724E19 6.1387E19 5.7423E19 5.3652E19
1.85 1.3680E20 1.2284E20 1.1097E20 1.0099E20 9.2624E19 8.5471E19 7.9313E19 7.3893E19 6.9015E19 6.4478E19  
1.90 1.5122E20 1.3628E20 1.2347E20 1.1268E20 1.0357E20 9.5740E19 8.8937E19 8.2856E19      
1.95 1.6704E20 1.5105E20 1.3729E20 1.2567E20 1.1574E20 1.0716E20 9.9557E19        
2.00 1.8452E20 1.6744E20 1.5269E20 1.4006E20 1.2929E20            
2.05 2.0389E20 1.8564E20 1.6976E20                
2.10 2.2513E20 2.0581E20                  


Table 14. Roton number density (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












0.15 1.2500E-3 3.1626E-3 1.1530E-2 4.1290E-2 1.2801E-1 3.5257E-1 8.6994E-1 2.0769E0 4.8902E0 1.1644E1 2.8084E1
0.20 2.9191E3 5.8882E3 1.5524E4 4.0309E4 9.4703E4 2.0190E5 3.9665E5 7.6259E5 1.4574E6 2.7769E6 5.3816E6
0.25 1.9943E7 3.4950E7 7.5923E7 1.6261E8 3.2148E8 5.8949E8 1.0147E9 1.7089E9 2.8613E9 4.8170E9 8.1674E9
0.30 7.2613E9 1.1657E10 2.2187E10 4.1921E10 7.3857E10 1.2257E11 1.9299E11 2.9834E11 4.5741E11 7.0384E11 1.0960E12
0.35 4.9805E11 7.4631E11 1.2952E12 2.2398E12 3.6469E12 5.6224E12 8.2872E12 1.2040E13 1.7364E13 2.5126E13 3.6700E13
0.40 1.1030E13 1.7060E13 2.7756E13 4.4677E13 6.8271E13 1.0013E14 1.4038E14 1.9465E14 2.6806E14 3.7103E14 5.1508E14
0.45 1.4310E14 1.9635E14 3.0210E14 4.6157E14 6.7367E14 9.4422E14 1.2767E15 1.7050E15 2.2706E15 3.0290E15 4.0551E15
0.50 1.0496E15 1.3949E15 2.0550E15 3.0076E15 4.2265E15 5.7303E15 7.5258E15 9.7504E15 1.2624E16 1.6362E16 2.1283E16
0.55 5.3761E15 6.9608E15 9.8981E15 1.4005E16 1.9079E16 2.5163E16 3.2159E16 4.0798E16 5.1567E16 6.5160E16 8.2940E16
0.60 2.1095E16 2.6747E16 3.6886E16 5.0740E16 6.7293E16 8.6638E16 1.0873E17 1.3504E17 1.6722E17 2.0725E17 2.5881E17
0.65 6.7172E16 8.3714E16 1.1260E17 1.5101E17 1.9645E17 2.4773E17 3.0525E17 3.7292E17 4.5456E17 5.5497E17 6.7892E17
0.70 1.8249E17 2.2330E17 2.9434E17 3.8604E17 4.9229E17 6.1182E17 7.4261E17 8.9530E17 1.0747E18 1.2911E18 1.5573E18
0.75 4.3328E17 5.2553E17 6.7821E17 8.7423E17 1.0956E18 1.3419E18 1.6070E18 1.9126E18 2.2666E18 2.6963E18 3.2067E18
0.80 9.3329E17 1.1116E18 1.4149E18 1.7921E18 2.2120E18 2.6737E18 3.1695E18 3.7291E18 4.3772E18 5.1441E18 6.0508E18
0.85 1.8364E18 2.1681E18 2.7116E18 3.3810E18 4.1244E18 4.9236E18 5.7771E18 6.7287E18 7.8316E18 9.1144E18 1.0629E19
0.90 3.3614E18 3.9375E18 4.8574E18 5.9633E18 7.1857E18 8.4895E18 9.8726E18 1.1407E19 1.3160E19 1.5199E19 1.7575E19
0.95 5.8313E18 6.7617E18 8.2011E18 9.9335E18 1.1828E19 1.3838E19 1.5976E19 1.8336E19 2.0989E19 2.4079E19 2.7586E19
1.00 9.6233E18 1.1047E19 1.3196E19 1.5764E19 1.8567E19 2.1527E19 2.4686E19 2.8138E19 3.2024E19 3.6471E19 4.1522E19
1.05 1.5278E19 1.7393E19 2.0421E19 2.4021E19 2.7949E19 3.2162E19 3.6651E19 4.1493E19 4.7033E19 5.3194E19 6.0220E19
1.10 2.3329E19 2.6364E19 3.0477E19 3.5294E19 4.0646E19 4.6387E19 5.2553E19 5.9303E19 6.6785E19 7.5216E19 8.4728E19
1.15 3.4436E19 3.8520E19 4.3855E19 5.0152E19 5.7221E19 6.4931E19 7.3273E19 8.2351E19 9.2383E19 1.0356E20 1.1625E20
1.20 4.8941E19 5.4508E19 6.1441E19 6.9537E19 7.8666E19 8.8721E19 9.9604E19 1.1166E20 1.2487E20 1.3967E20 1.5654E20
1.25 6.7653E19 7.5179E19 8.4305E19 9.4527E19 1.0571E20 1.1799E20 1.3165E20 1.4706E20 1.6449E20 1.8387E20 2.0482E20
1.30 9.1255E19 1.0081E20 1.1208E20 1.2500E20 1.3944E20 1.5548E20 1.7314E20 1.9272E20 2.1470E20 2.3964E20 2.6841E20
1.35 1.2006E20 1.3269E20 1.4742E20 1.6389E20 1.8206E20 2.0194E20 2.2406E20 2.4875E20 2.7651E20 3.0785E20 3.4293E20
1.40 1.5683E20 1.7275E20 1.9136E20 2.1218E20 2.3518E20 2.6045E20 2.8857E20 3.1983E20 3.5470E20 3.9403E20 4.3805E20
1.45 2.0336E20 2.2358E20 2.4665E20 2.7250E20 3.0110E20 3.3274E20 3.6816E20 4.0755E20 4.5251E20 5.0318E20 5.6089E20
1.50 2.5783E20 2.8277E20 3.1107E20 3.4284E20 3.7819E20 4.1765E20 4.6153E20 5.1064E20 5.6665E20 6.3067E20 7.0481E20
1.55 3.1940E20 3.4969E20 3.8401E20 4.2295E20 4.6648E20 5.1498E20 5.6857E20 6.2828E20 6.9539E20 7.7274E20 8.6460E20
1.60 3.9045E20 4.2706E20 4.6834E20 5.1549E20 5.6882E20 6.2834E20 6.6945E20 7.6786E20 8.5056E20 9.4654E20 1.0631E21
1.65 4.7590E20 5.1988E20 5.6988E20 6.2674E20 6.9164E20 7.6516E20 8.4682E20 9.3873E20 1.0424E21 1.1626E21 1.3066E21
1.70 5.7947E20 6.3326E20 6.9337E20 7.6226E20 8.4168E20 9.3195E20 1.0333E21 1.1470E21 1.2768E21 1.4303E21 1.6226E21
1.75 7.0382E20 7.6574E20 8.3526E20 9.1784E20 1.0151E21 1.1266E21 1.2494E21 1.3849E21 1.5394E21 1.7289E21 1.9864E21
1.80 8.4507E20 9.2026E20 1.0016E21 1.1039E21 1.2214E21 1.3569E21 1.5085E21 1.6794E21 1.8809E21 2.1374E21 2.4945E21
1.85 1.0072E21 1.0994E21 1.2037E21 1.3242E21 1.4616E21 1.6185E21 1.7989E21 2.0126E21 2.2768E21 2.6272E21  
1.90 1.1939E21 1.3047E21 1.4315E21 1.5763E21 1.7424E21 1.9359E21 2.1698E21 2.4603E21      
1.95 1.4044E21 1.5365E21 1.6886E21 1.8632E21 2.0668E21 2.3163E21 2.6315E21        
2.00 1.6662E21 1.8222E21 2.0028E21 2.2139E21 2.4688E21            
2.05 1.9722E21 2.1591E21 2.3728E21                
2.10 2.2995E21 2.5191E21                  


Table 15. . Normal fluid 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












0.15 8.7412E-9 6.0088E-9 4.4157E-9 3.4006E-9 2.7113E-9 2.2201E-9 1.8567E-9 1.5796E-9 1.3631E-9 1.1903E-9 1.0500E-9
0.20 2.7191E-8 1.8853E-8 1.3920E-8 1.0750E-8 8.5847E-9 7.0367E-9 5.8890E-9 5.0125E-9 4.3267E-9 3.7789E-9 3.3338E-9
0.25 6.5232E-8 4.5661E-8 3.3900E-8 2.6262E-8 2.1014E-8 1.7247E-8 1.4447E-8 1.2304E-8 1.0625E-8 9.2839E-9 8.1937E-9
0.30 1.3280E-7 9.3920E-8 7.0145E-8 5.4547E-8 4.3758E-8 3.5988E-8 3.0206E-8 2.5791E-8 2.2355E-8 1.9648E-8 1.7517E-8
0.35 2.4164E-7 1.7281E-7 1.3010E-7 1.0191E-7 8.2488E-8 6.8707E-8 5.8770E-8 5.1672E-8 4.6848E-8 4.4101E-8 4.3556E-8
0.40 4.0748E-7 2.9650E-7 2.2814E-7 1.8479E-7 1.5749E-7 1.4161E-7 1.3420E-7 1.3497E-7 1.4415E-7 1.6392E-7 1.9704E-7
0.45 6.6794E-7 5.0857E-7 4.2237E-7 3.8448E-7 3.8156E-7 4.0756E-7 4.5896E-7 5.4128E-7 6.6308E-7 8.3716E-7 1.0821E-6
0.50 1.1607E-6 9.8361E-7 9.5820E-7 1.0472E-6 1.2284E-6 1.4956E-6 1.8453E-6 2.3035E-6 2.9171E-6 3.7337E-6 4.8261E-6
0.55 2.3363E-6 2.2929E-6 2.6222E-6 3.2542E-6 4.1316E-6 5.2506E-6 6.5878E-6 8.2820E-6 1.0432E-5 1.3182E-5 1.6812E-5
0.60 5.3746E-6 5.9092E-6 7.3762E-6 9.6145E-6 1.2434E-5 1.5840E-5 1.9821E-5 2.4639E-5 3.0604E-5 3.8083E-5 4.7788E-5
0.65 1.2758E-5 1.4874E-5 1.9169E-5 2.5196E-5 3.2554E-5 4.1051E-5 5.0747E-5 6.2294E-5 7.6359E-5 9.3772E-5 1.1542E-4
0.70 2.9073E-5 3.4585E-5 4.4851E-5 5.8536E-5 7.4759E-5 9.3340E-5 1.1399E-4 1.3834E-4 1.6718E-4 2.0217E-4 2.4549E-4
0.75 6.1233E-5 7.3621E-5 9.4708E-5 1.2239E-4 1.5425E-4 1.9026E-4 2.2955E-4 2.7525E-4 3.2858E-4 3.9369E-4 4.7146E-4
0.80 1.2033E-4 1.4354E-4 1.8344E-4 2.3383E-4 2.9087E-4 3.5454E-4 4.2376E-4 5.0253E-4 5.9442E-4 7.0371E-4 8.3354E-4
0.85 2.1939E-4 2.6101E-4 3.2899E-4 4.1381E-4 5.0938E-4 6.1356E-4 7.2620E-4 8.5279E-4 1.0005E-3 1.1732E-3 1.3777E-3
0.90 3.7579E-4 4.4501E-4 5.5459E-4 6.8775E-4 8.3697E-4 9.9826E-4 1.1714E-3 1.3650E-3 1.5873E-3 1.8472E-3 2.1514E-3
0.95 6.1393E-4 7.2125E-4 8.8514E-4 1.0839E-3 1.3042E-3 1.5407E-3 1.7951E-3 2.0781E-3 2.3981E-3 2.7723E-3 3.1990E-3
1.00 9.5892E-4 1.1168E-3 1.3510E-3 1.6328E-3 1.9438E-3 2.2763E-3 2.6347E-3 3.0292E-3 3.4758E-3 3.9892E-3 4.5751E-3
1.05 1.4462E-3 1.6719E-3 1.9893E-3 2.3683E-3 2.7859E-3 3.2386E-3 3.7252E-3 4.2544E-3 4.8623E-3 5.5423E-3 6.3205E-3
1.10 2.1043E-3 2.4167E-3 2.8327E-3 3.3206E-3 3.8673E-3 4.4589E-3 5.0994E-3 5.8055E-3 6.5919E-3 7.4822E-3 8.4911E-3
1.15 2.9681E-3 3.3756E-3 3.8975E-3 4.5133E-3 5.2081E-3 5.9704E-3 6.8023E-3 7.7128E-3 8.7252E-3 9.8577E-3 1.1148E-2
1.20 4.0407E-3 4.5767E-3 5.2329E-3 5.9978E-3 6.8628E-3 7.8211E-3 8.8647E-3 1.0027E-2 1.1308E-2 1.2749E-2 1.4396E-2
1.25 5.3610E-3 6.0598E-3 6.8948E-3 7.8296E-3 8.8569E-3 9.9896E-3 1.1254E-2 1.2684E-2 1.4308E-2 1.6122E-2 1.8095E-2
1.30 6.9538E-3 7.8160E-3 8.8172E-3 9.9606E-3 1.1240E-2 1.2664E-2 1.4241E-2 1.5994E-2 1.7971E-2 2.0222E-2 2.2824E-2
1.35 8.8131E-3 9.9110E-3 1.1174E-2 1.2583E-2 1.4142E-2 1.5852E-2 1.7761E-2 1.9898E-2 2.2310E-2 2.5042E-2 2.8112E-2
1.40 1.1109E-2 1.2452E-2 1.3998E-2 1.5724E-2 1.7631E-2 1.9736E-2 2.2080E-2 2.4698E-2 2.7633E-2 3.0951E-2 3.4682E-2
1.45 1.3921E-2 1.5576E-2 1.7438E-2 1.9518E-2 2.1820E-2 2.4374E-2 2.7237E-2 3.0433E-2 3.4091E-2 3.8226E-2 4.2958E-2
1.50 1.7079E-2 1.9062E-2 2.1286E-2 2.3766E-2 2.6531E-2 2.9616E-2 3.3057E-2 3.6921E-2 4.1340E-2 4.6409E-2 5.2295E-2
1.55 2.0500E-2 2.2842E-2 2.5461E-2 2.8416E-2 3.1714E-2 3.5398E-2 3.9478E-2 4.4046E-2 4.9195E-2 5.5148E-2 6.2226E-2
1.60 2.4307E-2 2.7061E-2 3.0126E-2 3.3603E-2 3.7530E-2 4.1919E-2 4.6810E-2 5.2264E-2 5.8433E-2 6.5614E-2 7.4342E-2
1.65 2.8776E-2 3.1999E-2 3.5610E-2 3.9689E-2 4.4338E-2 4.9607E-2 5.5483E-2 6.2117E-2 6.9644E-2 7.8395E-2 8.8917E-2
1.70 3.4071E-2 3.7902E-2 4.2140E-2 4.6959E-2 5.2496E-2 5.8799E-2 6.5898E-2 7.3907E-2 8.3087E-2 9.3976E-2 1.0766E-1
1.75 4.0292E-2 4.4624E-2 4.9428E-2 5.5068E-2 6.1671E-2 6.9252E-2 7.7654E-2 8.6994E-2 9.7683E-2 1.1082E-1 1.2869E-1
1.80 4.7147E-2 5.2273E-2 5.7957E-2 6.4577E-2 7.2376E-2 8.1380E-2 9.1507E-2 1.0300E-1 1.1660E-1 1.3396E-1 1.5821E-1
1.85 5.4815E-2 6.0936E-2 6.7771E-2 7.5629E-2 8.4572E-2 9.4804E-2 1.0663E-1 1.2067E-1 1.3809E-1 1.6129E-1  
1.90 6.3446E-2 7.0632E-2 7.8754E-2 8.7984E-2 9.8573E-2 1.1093E-1 1.2589E-1 1.4454E-1      
1.95 7.2933E-2 8.3250E-2 9.0857E-2 1.0175E-1 1.1446E-1 1.3002E-1 1.4971E-1        
2.00 8.4682E-2 9.4402E-2 1.0553E-1 1.1847E-1 1.3405E-1            
2.05 9.8195E-2 1.0964E-1 1.2260E-1                
2.10 1.1222E-1 1.2547E-1                  


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