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

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

Table 21. Energy of maxon peak (K)
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	1.3816E1	1.4197E1	1.4438E1	1.4592E1	1.4691E1	1.4752E1	1.4789E1	1.4809E1	1.4819E1	1.4822E1	1.4822E1
0.15	1.3816E1	1.4197E1	1.4438E1	1.4592E1	1.4691E1	1.4752E1	1.4789E1	1.4809E1	1.4819E1	1.4822E1	1.4822E1
0.20	1.3816E1	1.4197E1	1.4438E1	1.4592E1	1.4691E1	1.4752E1	1.4789E1	1.4809E1	1.4819E1	1.4822E1	1.4822E1
0.25	1.3816E1	1.4197E1	1.4438E1	1.4592E1	1.4691E1	1.4752E1	1.4789E1	1.4809E1	1.4819E1	1.4822E1	1.4822E1
0.30	1.3816E1	1.4197E1	1.4438E1	1.4592E1	1.4691E1	1.4752E1	1.4789E1	1.4809E1	1.4819E1	1.4822E1	1.4822E1
0.35	1.3816E1	1.4197E1	1.4438E1	1.4592E1	1.4691E1	1.4752E1	1.4789E1	1.4809E1	1.4819E1	1.4822E1	1.4822E1
0.40	1.3816E1	1.4197E1	1.4438E1	1.4592E1	1.4691E1	1.4752E1	1.4789E1	1.4809E1	1.4819E1	1.4822E1	1.4822E1
0.45	1.3816E1	1.4197E1	1.4438E1	1.4592E1	1.4691E1	1.4752E1	1.4789E1	1.4809E1	1.4819E1	1.4822E1	1.4822E1
0.50	1.3816E1	1.4197E1	1.4438E1	1.4592E1	1.4691E1	1.4752E1	1.4789E1	1.4809E1	1.4819E1	1.4822E1	1.4822E1
0.55	1.3816E1	1.4197E1	1.4438E1	1.4592E1	1.4691E1	1.4752E1	1.4789E1	1.4809E1	1.4819E1	1.4822E1	1.4822E1
0.60	1.3816E1	1.4197E1	1.4437E1	1.4592E1	1.4690E1	1.4752E1	1.4789E1	1.4809E1	1.4819E1	1.4822E1	1.4821E1
0.65	1.3816E1	1.4196E1	1.4437E1	1.4592E1	1.4690E1	1.4752E1	1.4789E1	1.4809E1	1.4818E1	1.4822E1	1.4821E1
0.70	1.3815E1	1.4196E1	1.4437E1	1.4592E1	1.4690E1	1.4752E1	1.4788E1	1.4809E1	1.4818E1	1.4821E1	1.4821E1
0.75	1.3815E1	1.4196E1	1.4437E1	1.4591E1	1.4690E1	1.4751E1	1.4788E1	1.4808E1	1.4818E1	1.4821E1	1.4821E1
0.80	1.3815E1	1.4195E1	1.4436E1	1.4591E1	1.4689E1	1.4751E1	1.4787E1	1.4808E1	1.4817E1	1.4821E1	1.4820E1
0.85	1.3814E1	1.4195E1	1.4436E1	1.4590E1	1.4689E1	1.4750E1	1.4787E1	1.4807E1	1.4817E1	1.4820E1	1.4820E1
0.90	1.3813E1	1.4194E1	1.4434E1	1.4589E1	1.4687E1	1.4749E1	1.4786E1	1.4806E1	1.4816E1	1.4819E1	1.4818E1
0.95	1.3812E1	1.4192E1	1.4433E1	1.4587E1	1.4686E1	1.4748E1	1.4784E1	1.4804E1	1.4814E1	1.4817E1	1.4817E1
1.00	1.3810E1	1.4190E1	1.4431E1	1.4585E1	1.4684E1	1.4745E1	1.4782E1	1.4802E1	1.4812E1	1.4815E1	1.4815E1
1.05	1.3807E1	1.4188E1	1.4428E1	1.4583E1	1.4681E1	1.4743E1	1.4779E1	1.4800E1	1.4809E1	1.4812E1	1.4812E1
1.10	1.3804E1	1.4184E1	1.4425E1	1.4579E1	1.4678E1	1.4739E1	1.4776E1	1.4796E1	1.4806E1	1.4809E1	1.4809E1
1.15	1.3799E1	1.4180E1	1.4420E1	1.4575E1	1.4673E1	1.4734E1	1.4771E1	1.4791E1	1.4801E1	1.4804E1	1.4804E1
1.20	1.3796E1	1.4174E1	1.4414E1	1.4568E1	1.4667E1	1.4728E1	1.4765E1	1.4785E1	1.4795E1	1.4798E1	1.4798E1
1.25	1.3786E1	1.4166E1	1.4406E1	1.4561E1	1.4659E1	1.4720E1	1.4757E1	1.4777E1	1.4787E1	1.4790E1	1.4790E1
1.30	1.3777E1	1.4156E1	1.4397E1	1.4551E1	1.4649E1	1.4710E1	1.4747E1	1.4767E1	1.4777E1	1.4780E1	1.4780E1
1.35	1.3765E1	1.4144E1	1.4384E1	1.4538E1	1.4636E1	1.4698E1	1.4734E1	1.4754E1	1.4764E1	1.4767E1	1.4767E1
1.40	1.3750E1	1.4129E1	1.4369E1	1.4523E1	1.4621E1	1.4682E1	1.4718E1	1.4739E1	1.4748E1	1.4751E1	1.4751E1
1.45	1.3732E1	1.4110E1	1.4350E1	1.4503E1	1.4601E1	1.4662E1	1.4699E1	1.4719E1	1.4728E1	1.4732E1	1.4731E1
1.50	1.3709E1	1.4087E1	1.4326E1	1.4479E1	1.4577E1	1.4638E1	1.4675E1	1.4695E1	1.4704E1	1.4707E1	1.4707E1
1.55	1.3682E1	1.4059E1	1.4297E1	1.4450E1	1.4548E1	1.4609E1	1.4645E1	1.4665E1	1.4675E1	1.4678E1	1.4678E1
1.60	1.3648E1	1.4024E1	1.4262E1	1.4415E1	1.4512E1	1.4573E1	1.4609E1	1.4629E1	1.4639E1	1.4642E1	1.4642E1
1.65	1.3608E1	1.3983E1	1.4220E1	1.4372E1	1.4469E1	1.4530E1	1.4566E1	1.4586E1	1.4596E1	1.4599E1	1.4599E1
1.70	1.3560E1	1.3933E1	1.4170E1	1.4321E1	1.4418E1	1.4478E1	1.4514E1	1.4534E1	1.4544E1	1.4547E1	1.4547E1
1.75	1.3502E1	1.3874E1	1.4109E1	1.4260E1	1.4357E1	1.4417E1	1.4453E1	1.4473E1	1.4482E1	1.4485E1	1.4485E1
1.80	1.3433E1	1.3804E1	1.4038E1	1.4188E1	1.4284E1	1.4344E1	1.4379E1	1.4399E1	1.4409E1	1.4412E1	1.4411E1
1.85	1.3353E1	1.3721E1	1.3953E1	1.4103E1	1.4198E1	1.4257E1	1.4293E1	1.4313E1	1.4322E1	1.4325E1
1.90	1.3258E1	1.3623E1	1.3854E1	1.4002E1	1.4097E1	1.4156E1	1.4191E1	1.4211E1
1.95	1.3146E1	1.3508E1	1.3738E1	1.3885E1	1.3978E1	1.4037E1	1.4072E1
2.00	1.3016E1	1.3375E1	1.3602E1	1.3748E1	1.3840E1
2.05	1.2865E1	1.3220E1	1.3444E1
2.10	1.2691E1	1.3041E1

Table 22. Thermal roton energy gap (K)
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	8.7117E0	8.5726E0	8.3799E0	8.1893E0	8.0193E0	7.8676E0	7.7323E0	7.6020E0	7.4729E0	7.3429E0	7.2102E0
0.15	8.7117E0	8.5726E0	8.3799E0	8.1893E0	8.0193E0	7.8676E0	7.7323E0	7.6020E0	7.4729E0	7.3429E0	7.2102E0
0.20	8.7117E0	8.5726E0	8.3799E0	8.1893E0	8.0193E0	7.8676E0	7.7323E0	7.6020E0	7.4729E0	7.3429E0	7.2102E0
0.25	8.7117E0	8.5726E0	8.3799E0	8.1893E0	8.0193E0	7.8676E0	7.7323E0	7.6020E0	7.4729E0	7.3429E0	7.2102E0
0.30	8.7117E0	8.5726E0	8.3799E0	8.1893E0	8.0193E0	7.8676E0	7.7323E0	7.6020E0	7.4729E0	7.3429E0	7.2102E0
0.35	8.7117E0	8.5726E0	8.3799E0	8.1893E0	8.0193E0	7.8676E0	7.7323E0	7.6020E0	7.4729E0	7.3429E0	7.2102E0
0.40	8.7117E0	8.5726E0	8.3799E0	8.1893E0	8.0193E0	7.8676E0	7.7323E0	7.6020E0	7.4729E0	7.3429E0	7.2102E0
0.45	8.7117E0	8.5726E0	8.3799E0	8.1893E0	8.0193E0	7.8676E0	7.7323E0	7.6020E0	7.4729E0	7.3429E0	7.2102E0
0.50	8.7117E0	8.5726E0	8.3799E0	8.1893E0	8.0193E0	7.8676E0	7.7323E0	7.6020E0	7.4729E0	7.3429E0	7.2102E0
0.55	8.7117E0	8.5725E0	8.3799E0	8.1893E0	8.0193E0	7.8676E0	7.7323E0	7.6020E0	7.4729E0	7.3429E0	7.2101E0
0.60	8.7116E0	8.5725E0	8.3799E0	8.1893E0	8.0193E0	7.8676E0	7.7323E0	7.6020E0	7.4729E0	7.3429E0	7.2101E0
0.65	8.7114E0	8.5723E0	8.3798E0	8.1892E0	8.0193E0	7.8676E0	7.7323E0	7.6020E0	7.4729E0	7.3428E0	7.2101E0
0.70	8.7109E0	8.5718E0	8.3795E0	8.1891E0	8.0192E0	7.8676E0	7.7323E0	7.6019E0	7.4728E0	7.3428E0	7.2100E0
0.75	8.7098E0	8.5708E0	8.3789E0	8.1889E0	8.0192E0	7.8676E0	7.7323E0	7.6019E0	7.4727E0	7.3426E0	7.2099E0
0.80	8.7077E0	8.5689E0	8.3777E0	8.1884E0	8.0190E0	7.8676E0	7.7322E0	7.6018E0	7.4725E0	7.3424E0	7.2096E0
0.85	8.7039E0	8.5653E0	8.3757E0	8.1875E0	8.0188E0	7.8677E0	7.7321E0	7.6016E0	7.4721E0	7.3419E0	7.2091E0
0.90	8.6976E0	8.5595E0	8.3722E0	8.1861E0	8.0184E0	7.8677E0	7.7319E0	7.6012E0	7.4715E0	7.3412E0	7.2083E0
0.95	8.6877E0	8.5503E0	8.3667E0	8.1838E0	8.0177E0	7.8678E0	7.7316E0	7.6007E0	7.4705E0	7.3400E0	7.2070E0
1.00	8.6729E0	8.5366E0	8.3586E0	8.1804E0	8.0168E0	7.8680E0	7.7312E0	7.5999E0	7.4691E0	7.3382E0	7.2051E0
1.05	8.6494E0	8.5148E0	8.3457E0	8.1751E0	8.0154E0	7.8685E0	7.7308E0	7.5991E0	7.4672E0	7.3361E0	7.2030E0
1.10	8.6218E0	8.4893E0	8.3305E0	8.1686E0	8.0135E0	7.8686E0	7.7298E0	7.5973E0	7.4640E0	7.3321E0	7.1985E0
1.15	8.5950E0	8.4673E0	8.3186E0	8.1647E0	8.0131E0	7.8673E0	7.7284E0	7.5912E0	7.4586E0	7.3243E0	7.1891E0
1.20	8.5738E0	8.4464E0	8.3030E0	8.1557E0	8.0075E0	7.8641E0	7.7232E0	7.5860E0	7.4502E0	7.3123E0	7.1722E0
1.25	8.5557E0	8.4234E0	8.2823E0	8.1392E0	8.0009E0	7.8640E0	7.7262E0	7.5868E0	7.4437E0	7.3020E0	7.1634E0
1.30	8.5370E0	8.4088E0	8.2719E0	8.1310E0	7.9892E0	7.8476E0	7.7065E0	7.5661E0	7.4221E0	7.2771E0	7.1241E0
1.35	8.5255E0	8.3901E0	8.2482E0	8.1056E0	7.9646E0	7.8242E0	7.6835E0	7.5385E0	7.3944E0	7.2441E0	7.0942E0
1.40	8.4966E0	8.3598E0	8.2167E0	8.0719E0	7.9279E0	7.7845E0	7.6391E0	7.4925E0	7.3454E0	7.1929E0	7.0399E0
1.45	8.4504E0	8.3111E0	8.1684E0	8.0243E0	7.8790E0	7.7330E0	7.5848E0	7.4337E0	7.2785E0	7.1182E0	6.9550E0
1.50	8.4160E0	8.2737E0	8.1307E0	7.9832E0	7.8365E0	7.6867E0	7.5333E0	7.3777E0	7.2175E0	7.0513E0	6.8762E0
1.55	8.3956E0	8.2501E0	8.1035E0	7.9541E0	7.8005E0	7.6457E0	7.4887E0	7.3306E0	7.1677E0	6.9982E0	6.8140E0
1.60	8.3759E0	8.2274E0	8.0782E0	7.9235E0	7.7641E0	7.6020E0	7.4387E0	7.2725E0	7.1025E0	6.9240E0	6.7276E0
1.65	8.3428E0	8.1909E0	8.0370E0	7.8778E0	7.7126E0	7.5419E0	7.3699E0	7.1922E0	7.0129E0	6.8244E0	6.6191E0
1.70	8.2894E0	8.1317E0	7.9752E0	7.8114E0	7.6384E0	7.4616E0	7.2799E0	7.0952E0	6.9050E0	6.6995E0	6.4689E0
1.75	8.2227E0	8.0682E0	7.9131E0	7.7439E0	7.5630E0	7.3744E0	7.1877E0	6.9996E0	6.8051E0	6.5885E0	6.3261E0
1.80	8.1594E0	7.9973E0	7.8352E0	7.6617E0	7.4730E0	7.2769E0	7.0777E0	6.8746E0	6.6589E0	6.4105E0	6.1073E0
1.85	8.0920E0	7.9210E0	7.7472E0	7.5648E0	7.3766E0	7.1792E0	6.9765E0	6.7559E0	6.5108E0	6.2240E0
1.90	8.0215E0	7.8419E0	7.6574E0	7.4669E0	7.2696E0	7.0607E0	6.8320E0	6.5780E0
1.95	7.9480E0	7.7614E0	7.5687E0	7.3688E0	7.1573E0	6.9217E0	6.6558E0
2.00	7.8425E0	7.6502E0	7.4512E0	7.2422E0	7.0120E0
2.05	7.7268E0	7.5260E0	7.3215E0
2.10	7.6284E0	7.4221E0

Table 23. Thermal roton effective mass (m)
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	1.6079E-1	1.5803E-1	1.5432E-1	1.5066E-1	1.4739E-1	1.4447E-1	1.4186E-1	1.3935E-1	1.3687E-1	1.3438E-1	1.3185E-1
0.15	1.6079E-1	1.5803E-1	1.5432E-1	1.5066E-1	1.4739E-1	1.4447E-1	1.4186E-1	1.3935E-1	1.3687E-1	1.3438E-1	1.3185E-1
0.20	1.6079E-1	1.5803E-1	1.5432E-1	1.5066E-1	1.4739E-1	1.4447E-1	1.4186E-1	1.3935E-1	1.3687E-1	1.3438E-1	1.3185E-1
0.25	1.6079E-1	1.5803E-1	1.5432E-1	1.5066E-1	1.4739E-1	1.4447E-1	1.4186E-1	1.3935E-1	1.3687E-1	1.3438E-1	1.3185E-1
0.30	1.6079E-1	1.5803E-1	1.5432E-1	1.5066E-1	1.4739E-1	1.4447E-1	1.4186E-1	1.3935E-1	1.3687E-1	1.3438E-1	1.3185E-1
0.35	1.6079E-1	1.5803E-1	1.5432E-1	1.5066E-1	1.4739E-1	1.4447E-1	1.4186E-1	1.3935E-1	1.3687E-1	1.3438E-1	1.3185E-1
0.40	1.6079E-1	1.5803E-1	1.5432E-1	1.5066E-1	1.4739E-1	1.4447E-1	1.4186E-1	1.3935E-1	1.3687E-1	1.3438E-1	1.3185E-1
0.45	1.6079E-1	1.5803E-1	1.5432E-1	1.5066E-1	1.4739E-1	1.4447E-1	1.4186E-1	1.3935E-1	1.3687E-1	1.3438E-1	1.3185E-1
0.50	1.6079E-1	1.5803E-1	1.5432E-1	1.5066E-1	1.4739E-1	1.4447E-1	1.4186E-1	1.3935E-1	1.3687E-1	1.3438E-1	1.3185E-1
0.55	1.6079E-1	1.5803E-1	1.5432E-1	1.5066E-1	1.4739E-1	1.4447E-1	1.4186E-1	1.3935E-1	1.3687E-1	1.3438E-1	1.3185E-1
0.60	1.6079E-1	1.5803E-1	1.5432E-1	1.5066E-1	1.4739E-1	1.4447E-1	1.4186E-1	1.3935E-1	1.3687E-1	1.3438E-1	1.3185E-1
0.65	1.6078E-1	1.5803E-1	1.5431E-1	1.5065E-1	1.4739E-1	1.4447E-1	1.4186E-1	1.3935E-1	1.3687E-1	1.3438E-1	1.3185E-1
0.70	1.6077E-1	1.5802E-1	1.5431E-1	1.5065E-1	1.4739E-1	1.4447E-1	1.4186E-1	1.3935E-1	1.3687E-1	1.3438E-1	1.3185E-1
0.75	1.6075E-1	1.5800E-1	1.5430E-1	1.5065E-1	1.4739E-1	1.4447E-1	1.4186E-1	1.3935E-1	1.3687E-1	1.3438E-1	1.3184E-1
0.80	1.6071E-1	1.5797E-1	1.5428E-1	1.5064E-1	1.4738E-1	1.4447E-1	1.4186E-1	1.3935E-1	1.3686E-1	1.3437E-1	1.3184E-1
0.85	1.6064E-1	1.5790E-1	1.5424E-1	1.5062E-1	1.4738E-1	1.4447E-1	1.4186E-1	1.3934E-1	1.3686E-1	1.3436E-1	1.3183E-1
0.90	1.6053E-1	1.5779E-1	1.5418E-1	1.5060E-1	1.4737E-1	1.4447E-1	1.4185E-1	1.3934E-1	1.3685E-1	1.3435E-1	1.3181E-1
0.95	1.6035E-1	1.5763E-1	1.5407E-1	1.5055E-1	1.4736E-1	1.4447E-1	1.4185E-1	1.3933E-1	1.3683E-1	1.3433E-1	1.3179E-1
1.00	1.6007E-1	1.5737E-1	1.5392E-1	1.5049E-1	1.4734E-1	1.4448E-1	1.4184E-1	1.3931E-1	1.3680E-1	1.3430E-1	1.3176E-1
1.05	1.5964E-1	1.5697E-1	1.5369E-1	1.5039E-1	1.4732E-1	1.4449E-1	1.4183E-1	1.3930E-1	1.3677E-1	1.3426E-1	1.3172E-1
1.10	1.5913E-1	1.5650E-1	1.5341E-1	1.5028E-1	1.4728E-1	1.4449E-1	1.4181E-1	1.3926E-1	1.3671E-1	1.3418E-1	1.3163E-1
1.15	1.5864E-1	1.5609E-1	1.5319E-1	1.5020E-1	1.4727E-1	1.4446E-1	1.4179E-1	1.3915E-1	1.3661E-1	1.3404E-1	1.3146E-1
1.20	1.5824E-1	1.5571E-1	1.5290E-1	1.5004E-1	1.4717E-1	1.4440E-1	1.4169E-1	1.3906E-1	1.3646E-1	1.3382E-1	1.3115E-1
1.25	1.5791E-1	1.5529E-1	1.5252E-1	1.4973E-1	1.4705E-1	1.4440E-1	1.4175E-1	1.3907E-1	1.3634E-1	1.3363E-1	1.3099E-1
1.30	1.5756E-1	1.5502E-1	1.5233E-1	1.4958E-1	1.4683E-1	1.4410E-1	1.4139E-1	1.3869E-1	1.3594E-1	1.3318E-1	1.3027E-1
1.35	1.5735E-1	1.5467E-1	1.5189E-1	1.4912E-1	1.4638E-1	1.4367E-1	1.4096E-1	1.3819E-1	1.3543E-1	1.3257E-1	1.2973E-1
1.40	1.5682E-1	1.5411E-1	1.5131E-1	1.4850E-1	1.4571E-1	1.4294E-1	1.4015E-1	1.3734E-1	1.3454E-1	1.3164E-1	1.2873E-1
1.45	1.5597E-1	1.5322E-1	1.5042E-1	1.4762E-1	1.4481E-1	1.4200E-1	1.3915E-1	1.3627E-1	1.3331E-1	1.3027E-1	1.2718E-1
1.50	1.5533E-1	1.5253E-1	1.4973E-1	1.4686E-1	1.4403E-1	1.4115E-1	1.3821E-1	1.3524E-1	1.3219E-1	1.2904E-1	1.2574E-1
1.55	1.5495E-1	1.5209E-1	1.4923E-1	1.4633E-1	1.4337E-1	1.4039E-1	1.3739E-1	1.3438E-1	1.3128E-1	1.2807E-1	1.2460E-1
1.60	1.5459E-1	1.5167E-1	1.4876E-1	1.4577E-1	1.4270E-1	1.3959E-1	1.3647E-1	1.3331E-1	1.3009E-1	1.2672E-1	1.2302E-1
1.65	1.5398E-1	1.5100E-1	1.4800E-1	1.4493E-1	1.4175E-1	1.3849E-1	1.3521E-1	1.3184E-1	1.2845E-1	1.2489E-1	1.2104E-1
1.70	1.5299E-1	1.4991E-1	1.4686E-1	1.4370E-1	1.4039E-1	1.3701E-1	1.3356E-1	1.3006E-1	1.2647E-1	1.2261E-1	1.1829E-1
1.75	1.5176E-1	1.4874E-1	1.4572E-1	1.4246E-1	1.3900E-1	1.3541E-1	1.3187E-1	1.2831E-1	1.2464E-1	1.2057E-1	1.1568E-1
1.80	1.5059E-1	1.4743E-1	1.4429E-1	1.4095E-1	1.3735E-1	1.3362E-1	1.2985E-1	1.2602E-1	1.2196E-1	1.1732E-1	1.1168E-1
1.85	1.4935E-1	1.4602E-1	1.4267E-1	1.3917E-1	1.3558E-1	1.3183E-1	1.2799E-1	1.2384E-1	1.1925E-1	1.1390E-1
1.90	1.4805E-1	1.4456E-1	1.4101E-1	1.3737E-1	1.3361E-1	1.2965E-1	1.2534E-1	1.2058E-1
1.95	1.4669E-1	1.4308E-1	1.3938E-1	1.3556E-1	1.3154E-1	1.2710E-1	1.2211E-1
2.00	1.4475E-1	1.4103E-1	1.3722E-1	1.3323E-1	1.2888E-1
2.05	1.4261E-1	1.3874E-1	1.3483E-1
2.10	1.4079E-1	1.3683E-1

Table 24. Wave number of roton minimum (Å-1) (1Å-1 = 1010 m-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	1.9129E0	1.9308E0	1.9462E0	1.9596E0	1.9716E0	1.9826E0	1.9926E0	2.0018E0	2.0104E0	2.0185E0	2.0261E0
0.15	1.9129E0	1.9308E0	1.9461E0	1.9596E0	1.9716E0	1.9826E0	1.9926E0	2.0018E0	2.0104E0	2.0185E0	2.0261E0
0.20	1.9129E0	1.9308E0	1.9461E0	1.9596E0	1.9716E0	1.9825E0	1.9926E0	2.0018E0	2.0104E0	2.0185E0	2.0261E0
0.25	1.9129E0	1.9308E0	1.9461E0	1.9596E0	1.9716E0	1.9825E0	1.9926E0	2.0018E0	2.0104E0	2.0185E0	2.0261E0
0.30	1.9129E0	1.9308E0	1.9461E0	1.9596E0	1.9716E0	1.9825E0	1.9925E0	2.0018E0	2.0104E0	2.0185E0	2.0261E0
0.35	1.9129E0	1.9308E0	1.9461E0	1.9596E0	1.9716E0	1.9825E0	1.9925E0	2.0018E0	2.0104E0	2.0185E0	2.0261E0
0.40	1.9129E0	1.9308E0	1.9461E0	1.9596E0	1.9716E0	1.9825E0	1.9925E0	2.0018E0	2.0104E0	2.0185E0	2.0261E0
0.45	1.9129E0	1.9308E0	1.9461E0	1.9596E0	1.9716E0	1.9825E0	1.9925E0	2.0018E0	2.0104E0	2.0185E0	2.0261E0
0.50	1.9129E0	1.9308E0	1.9461E0	1.9596E0	1.9716E0	1.9825E0	1.9925E0	2.0018E0	2.0104E0	2.0185E0	2.0261E0
0.55	1.9128E0	1.9308E0	1.9460E0	1.9596E0	1.9716E0	1.9825E0	1.9925E0	2.0018E0	2.0104E0	2.0185E0	2.0261E0
0.60	1.9128E0	1.9308E0	1.9460E0	1.9595E0	1.9716E0	1.9825E0	1.9925E0	2.0018E0	2.0104E0	2.0185E0	2.0261E0
0.65	1.9128E0	1.9308E0	1.9461E0	1.9595E0	1.9716E0	1.9825E0	1.9925E0	2.0018E0	2.0104E0	2.0185E0	2.0261E0
0.70	1.9128E0	1.9307E0	1.9460E0	1.9595E0	1.9716E0	1.9825E0	1.9925E0	2.0018E0	2.0104E0	2.0185E0	2.0262E0
0.75	1.9128E0	1.9307E0	1.9460E0	1.9595E0	1.9716E0	1.9825E0	1.9925E0	2.0018E0	2.0105E0	2.0186E0	2.0262E0
0.80	1.9128E0	1.9307E0	1.9460E0	1.9595E0	1.9716E0	1.9825E0	1.9926E0	2.0019E0	2.0105E0	2.0186E0	2.0263E0
0.85	1.9128E0	1.9307E0	1.9461E0	1.9595E0	1.9716E0	1.9826E0	1.9926E0	2.0019E0	2.0106E0	2.0187E0	2.0263E0
0.90	1.9128E0	1.9307E0	1.9461E0	1.9596E0	1.9717E0	1.9826E0	1.9927E0	2.0020E0	2.0106E0	2.0188E0	2.0264E0
0.95	1.9128E0	1.9307E0	1.9461E0	1.9596E0	1.9717E0	1.9827E0	1.9927E0	2.0021E0	2.0107E0	2.0189E0	2.0265E0
1.00	1.9128E0	1.9307E0	1.9461E0	1.9596E0	1.9718E0	1.9828E0	1.9928E0	2.0022E0	2.0109E0	2.0190E0	2.0267E0
1.05	1.9128E0	1.9307E0	1.9462E0	1.9597E0	1.9718E0	1.9829E0	1.9930E0	2.0023E0	2.0110E0	2.0192E0	2.0269E0
1.10	1.9128E0	1.9308E0	1.9462E0	1.9598E0	1.9719E0	1.9830E0	1.9931E0	2.0025E0	2.0112E0	2.0194E0	2.0271E0
1.15	1.9128E0	1.9308E0	1.9463E0	1.9599E0	1.9721E0	1.9831E0	1.9933E0	2.0027E0	2.0114E0	2.0196E0	2.0274E0
1.20	1.9128E0	1.9309E0	1.9464E0	1.9600E0	1.9722E0	1.9833E0	1.9935E0	2.0029E0	2.0117E0	2.0199E0	2.0277E0
1.25	1.9128E0	1.9309E0	1.9465E0	1.9601E0	1.9724E0	1.9835E0	1.9938E0	2.0032E0	2.0120E0	2.0203E0	2.0281E0
1.30	1.9128E0	1.9310E0	1.9466E0	1.9603E0	1.9726E0	1.9838E0	1.9941E0	2.0036E0	2.0124E0	2.0207E0	2.0285E0
1.35	1.9129E0	1.9311E0	1.9467E0	1.9605E0	1.9729E0	1.9841E0	1.9944E0	2.0040E0	2.0129E0	2.0212E0	2.0290E0
1.40	1.9129E0	1.9312E0	1.9469E0	1.9608E0	1.9732E0	1.9845E0	1.9949E0	2.0044E0	2.0134E0	2.0217E0	2.0296E0
1.45	1.9130E0	1.9313E0	1.9471E0	1.9611E0	1.9736E0	1.9849E0	1.9953E0	2.0050E0	2.0140E0	2.0224E0	2.0303E0
1.50	1.9130E0	1.9315E0	1.9474E0	1.9614E0	1.9740E0	1.9854E0	1.9959E0	2.0056E0	2.0146E0	2.0231E0	2.0311E0
1.55	1.9131E0	1.9317E0	1.9477E0	1.9618E0	1.9745E0	1.9860E0	1.9965E0	2.0063E0	2.0154E0	2.0240E0	2.0320E0
1.60	1.9132E0	1.9319E0	1.9480E0	1.9623E0	1.9750E0	1.9866E0	1.9973E0	2.0071E0	2.0163E0	2.0249E0	2.0330E0
1.65	1.9134E0	1.9322E0	1.9484E0	1.9628E0	1.9757E0	1.9874E0	1.9981E0	2.0081E0	2.0174E0	2.0260E0	2.0342E0
1.70	1.9135E0	1.9325E0	1.9489E0	1.9634E0	1.9764E0	1.9882E0	1.9991E0	2.0092E0	2.0185E0	2.0273E0	2.0356E0
1.75	1.9137E0	1.9328E0	1.9494E0	1.9641E0	1.9772E0	1.9892E0	2.0002E0	2.0104E0	2.0199E0	2.0288E0	2.0371E0
1.80	1.9139E0	1.9332E0	1.9500E0	1.9648E0	1.9782E0	1.9903E0	2.0015E0	2.0118E0	2.0214E0	2.0304E0	2.0389E0
1.85	1.9141E0	1.9337E0	1.9507E0	1.9658E0	1.9793E0	1.9916E0	2.0029E0	2.0134E0	2.0232E0	2.0323E0
1.90	1.9143E0	1.9342E0	1.9515E0	1.9668E0	1.9806E0	1.9931E0	2.0046E0	2.0153E0
1.95	1.9146E0	1.9348E0	1.9524E0	1.9680E0	1.9820E0	1.9948E0	2.0065E0
2.00	1.9150E0	1.9355E0	1.9534E0	1.9693E0	1.9837E0
2.05	1.9154E0	1.9363E0	1.9546E0
2.10	1.9158E0	1.9372E0

Table 25. Coefficients u1 and an of the MDC series (KÅn)(1Å = 10-10 m)
Temp.	Pressure (atm)
T (K)	P (atm)	u1	a3	a4	a5	a6	a7	a8
0.20	0	18.196846	45.108719	-163.085876	211.667572	-136.115967	43.272781	-5.389564
0.20	2.50	19.667023	26.523594	-112.360092	152.520172	-100.990311	32.799019	-4.142713
0.20	5.00	20.946884	13.519928	-79.787628	116.719101	-80.569763	26.869144	-3.448239
0.20	7.50	22.088062	3.969789	-58.034119	94.421631	-68.426041	23.433270	-3.050060
0.20	10.00	23.122910	-3.381524	-42.918419	80.189056	-61.114006	21.424671	-2.818585
0.20	12.50	24.073158	-9.328510	-31.882721	70.802612	-56.660950	20.251656	-2.684020
0.20	15.00	24.954227	-14.386789	-23.284580	64.210098	-53.816437	19.541046	-2.602543
0.20	17.50	25.777447	-18.847580	-16.243782	59.369171	-51.980667	19.123726	-2.555310
0.20	20.00	26.551479	-22.856491	-10.320194	55.749977	-50.841278	18.909050	-2.531901
0.20	22.50	27.283047	-26.474239	-5.339409	53.146721	-50.278160	18.862236	-2.528291
0.20	25.00	27.977539	-29.764984	-1.116019	51.340134	-50.162460	18.945549	-2.540059
0.40	0	18.202255	45.046959	-162.938599	211.512787	-136.031036	43.248993	-5.386869
0.40	2.50	19.670414	26.481247	-112.258484	152.414948	-100.934372	32.784042	-4.141109
0.40	5.00	20.948875	13.491226	-79.717514	116.646820	-80.532272	26.859520	-3.447267
0.40	7.50	22.089031	3.967130	-58.038261	94.437393	-68.441177	23.439346	-3.050950
0.40	10.00	23.123085	-3.362782	-42.983986	80.277740	-61.172585	21.443634	-2.820991
0.40	12.50	24.072704	-9.336058	-31.856209	70.769669	-56.641846	20.246380	-2.683459
0.40	15.00	24.953247	-14.393038	-23.257160	64.172882	-53.793556	19.534393	-2.601797
0.40	17.50	25.776039	-18.855232	-16.207016	59.316772	-51.946960	19.113453	-2.554100
0.40	20.00	26.549694	-22.835377	-10.372450	55.807526	-50.874641	18.918961	-2.533086
0.40	22.50	27.280945	-26.463436	-5.355791	53.157700	-50.282394	18.863247	-2.528409
0.40	25.00	27.975163	-29.745289	-1.158225	51.381783	-50.184845	18.951885	-2.540795
0.60	0	18.210155	44.947212	-162.696777	211.257385	-135.891357	43.210213	-5.382538
0.60	2.50	19.673195	26.448883	-112.187561	152.349792	-100.905060	32.777870	-4.140655
0.60	5.00	20.948116	13.472624	-79.654282	116.567139	-80.484283	26.845539	-3.445675
0.60	7.50	22.085663	3.966507	-58.007721	94.383545	-68.403625	23.427425	-3.049511
0.60	10.00	23.117702	-3.337157	-43.018486	80.294022	-61.174126	21.442753	-2.820804
0.60	12.50	24.065712	-9.266668	-32.015945	70.934006	-56.731209	20.271423	-2.686308
0.60	15.00	24.944935	-14.323412	-23.403755	64.311218	-53.862968	19.552479	-2.603728
0.60	17.50	25.766621	-18.758907	-16.428543	59.542412	-52.067474	19.146423	-2.557751
0.60	20.00	26.539330	-22.741051	-10.577082	56.004501	-50.974304	18.944862	-2.535820
0.60	22.50	27.269764	-26.344913	-5.630239	53.437424	-50.431076	18.903553	-2.532817
0.60	25.00	27.963257	-29.653122	-1.339696	51.538643	-50.255287	18.967911	-2.542256
0.80	0	18.214394	44.885498	-162.573425	211.165649	-135.866547	43.211037	-5.383513
0.80	2.50	19.667351	26.488655	-112.289688	152.477020	-100.990265	32.806671	-4.144476
0.80	5.00	20.935299	13.580513	-79.899826	116.821625	-80.625046	26.885708	-3.450315
0.80	7.50	22.067688	4.161252	-58.476311	94.878967	-68.675858	23.503426	-3.058043
0.80	10.00	23.095741	-3.094258	-43.598465	80.898880	-61.500557	21.532032	-2.830614
0.80	12.50	24.040565	-8.995251	-32.653259	71.587036	-57.077126	20.364201	-2.696301
0.80	15.00	24.917152	-14.022804	-24.107124	65.028442	-54.240601	19.653042	-2.614472
0.80	17.50	25.736622	-18.448452	-17.139606	60.252594	-52.433647	19.241837	-2.567715
0.80	20.00	26.507439	-22.400311	-11.365572	56.798393	-51.386284	19.052788	-2.547145
0.80	22.50	27.236233	-25.995335	-6.429257	54.231972	-50.838043	19.008675	-2.543683
0.80	25.00	27.928276	-29.267151	-2.238814	52.446419	-50.726234	19.090992	-2.555119
1.00	0	18.204235	44.652832	-161.936188	210.556702	-135.624695	43.178589	-5.384238
1.00	2.50	19.639828	26.539146	-112.374146	152.640625	-101.164108	32.884987	-4.156837
1.00	5.00	20.895721	13.968925	-80.890884	117.962906	-81.314407	27.096333	-3.475906
1.00	7.50	22.019199	4.711472	-59.847031	96.367493	-69.508804	23.738297	-3.084483
1.00	10.00	23.040333	-2.439907	-45.208374	82.606598	-62.427147	21.784409	-2.858028
1.00	12.50	23.979599	-8.277168	-34.398270	73.409180	-58.047661	20.623207	-2.723837
1.00	15.00	24.851604	-13.248381	-25.989033	66.995193	-55.289787	19.933578	-2.644359
1.00	17.50	25.667217	-17.631157	-19.118877	62.314148	-53.529625	19.533794	-2.598693
1.00	20.00	26.434711	-21.556465	-13.397085	58.904289	-52.501068	19.348454	-2.578362
1.00	22.50	27.160610	-25.133644	-8.485947	56.346336	-51.947769	19.300289	-2.574163
1.00	25.00	27.850113	-28.360394	-4.412244	54.687294	-51.904831	19.401215	-2.587592
1.20	0	18.164108	44.275581	-160.940887	209.781281	-135.492432	43.245468	-5.404290
1.20	2.50	19.572063	26.758766	-112.963913	153.591400	-101.961929	33.197128	-4.202121
1.20	5.00	20.808731	14.826330	-83.174515	120.683197	-82.995148	27.616653	-3.539522
1.20	7.50	21.917927	5.987774	-63.197815	100.143555	-71.676208	24.360001	-3.155261
1.20	10.00	22.927975	-0.953682	-49.053604	86.835022	-64.781586	22.437943	-2.930016
1.20	12.50	23.858326	-6.700869	-38.413834	77.752090	-60.422890	21.270164	-2.793734
1.20	15.00	24.722965	-11.594639	-30.183372	71.519653	-57.760544	20.605816	-2.716905
1.20	17.50	25.532345	-15.921318	-23.439617	66.968201	-56.070633	20.225227	-2.673302
1.20	20.00	26.294491	-19.785034	-17.865482	63.712936	-55.125114	20.062019	-2.655275
1.20	22.50	27.015709	-23.259411	-13.246851	61.503365	-54.780006	20.075176	-2.658149
1.20	25.00	27.701077	-26.405735	-9.396870	60.106216	-54.890816	20.220387	-2.676547
1.40	0	18.072956	45.500061	-164.784180	214.792206	-138.740295	44.278648	-5.532924
1.40	2.50	19.438976	28.420647	-117.804657	159.588531	-105.707138	34.354279	-4.342721
1.40	5.00	20.646286	16.919952	-89.076736	127.769882	-87.295731	28.911419	-3.693208
1.40	7.50	21.733669	8.454481	-70.038254	108.202164	-76.472626	25.777176	-3.320523
1.40	10.00	22.726757	1.779231	-56.529221	95.506714	-69.860260	23.914516	-3.099521
1.40	12.50	23.643452	-3.734785	-46.470146	87.017044	-65.798294	22.817932	-2.969692
1.40	15.00	24.496807	-8.445623	-38.698273	81.261871	-63.381508	22.214680	-2.898664
1.40	17.50	25.296650	-12.555998	-32.553452	77.396759	-62.083504	21.944016	-2.867117
1.40	20.00	26.050594	-16.232990	-27.498936	74.739670	-61.480286	21.876575	-2.859508
1.40	22.50	26.764648	-19.447979	-23.649632	73.455765	-61.685036	22.049335	-2.880445
1.40	25.00	27.443665	-22.335537	-20.564976	72.970154	-62.329536	22.346832	-2.915753
1.60	0	17.902641	48.812119	-175.371002	228.404266	-147.344147	46.941986	-5.856093
1.60	2.50	19.206341	32.339539	-129.711182	174.417542	-114.864029	37.134735	-4.674360
1.60	5.00	20.369839	21.354656	-102.164581	143.726654	-96.977600	31.805569	-4.033397
1.60	7.50	21.424599	13.275105	-84.012787	125.009552	-86.552719	28.757961	-3.667232
1.60	10.00	22.392326	6.959643	-71.399368	113.254333	-80.433380	27.021046	-3.458503
1.60	12.50	23.288635	1.812648	-62.317459	105.852966	-76.976807	26.089340	-3.346109
1.60	15.00	24.125160	-2.519477	-55.587433	101.279404	-75.224640	25.668606	-3.294540
1.60	17.50	24.910809	-6.211314	-50.637695	98.803894	-74.724228	25.621296	-3.287316
1.60	20.00	25.652557	-9.388725	-47.062798	97.911530	-75.156067	25.849960	-3.312699
1.60	22.50	26.355961	-12.038965	-44.917770	98.682465	-76.574875	26.371922	-3.372718
1.60	25.00	27.025574	-14.073032	-44.509460	101.518951	-79.234451	27.264038	-3.476307
1.80	0	17.614632	55.727371	-197.996429	257.666931	-165.818451	52.637192	-6.543551
1.80	2.50	18.825653	40.186943	-154.354584	205.484100	-134.100006	42.966637	-5.367590
1.80	5.00	19.923534	29.928108	-128.418213	176.256683	-116.839203	37.751259	-4.731647
1.80	7.50	20.929398	22.472076	-111.735825	158.975952	-107.096619	34.853951	-4.376947
1.80	10.00	21.859222	16.755856	-100.653961	148.854645	-101.841476	33.337959	-4.189687
1.80	12.50	22.725193	12.282404	-93.426895	143.557465	-99.566986	32.729744	-4.111550
1.80	15.00	23.536781	8.741184	-88.975906	141.647369	-99.348129	32.739151	-4.106864
1.80	17.50	24.301491	5.986689	-86.808777	142.483459	-100.781143	33.241653	-4.160482
1.80	20.00	25.025322	3.967886	-86.760010	145.855957	-103.735855	34.196609	-4.267243
1.80	22.50	25.713169	3.099761	-90.202667	153.533234	-109.319916	35.940804	-4.466936
1.80	25.00	26.369068	4.027386	-99.219772	168.126648	-119.121857	38.942955	-4.813305
2.00	0	17.152634	70.090286	-245.461426	318.905151	-204.214142	64.376389	-7.948897
2.00	2.50	18.221794	55.730057	-204.122437	268.480164	-173.024445	54.714104	-6.756611
2.00	5.00	19.218197	46.419075	-180.144836	240.874268	-156.345490	49.558441	-6.114318
2.00	7.50	20.148487	40.057701	-166.143066	226.299347	-147.931000	46.966454	-5.784702
2.00	10.00	21.020050	35.440361	-157.926758	219.237213	-144.272736	45.848648	-5.634654