Russell J. Donnelly
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The Observed Properties of Liquid Helium
at the Saturated Vapor Pressure


Chapter 8. Entropy

Adopted Database for +


Author(s)

Key #

Method

Range (K)
Barenghi, et al. 1 Ion Pool 0.2388 T 0.8462
Schwarz 2 Drift Velocity 0.371 T 5.18  

Adopted Database for -


Author(s)

Key #

Method

Range (K)
Barenghi, et al. 1 Ion Pool 0.0528 T 0.9632
Schwarz 2 Drift Velocity 0.247 T 5.18  

Comments and Key to Authors

1) Ref. 18. Uncertainties: for negative ions, > 270mK, and for positive ions, > 370mK, results are in good agreement with Ref. 14. Below these temperatures the mobilities depend on the experimental situation and the paper should be consulted for details.
2) Ref. 14. Uncertainty better than 2%.
3) The splines are fit to the log10 of the mobility.
4) To convert mobilities from m2/Vs to cm2/Vs, multiply by 104.

Table 10.1. Adopted database for the positive ion mobility.


T90 (K)

+(m2/V.s)

Key

T90

+(m2/V.s)

Key
0.0255 2.11000E+3 1 0.3953 3.80000E+0 2
0.0421 1.73000E+3 1 0.4020 4.97000E+0 1
0.0459 1.38000E+3 1 0.4063 3.36000E+0 2
0.0599 1.32000E+3 1 0.4108 4.01000E+0 1
0.0656 1.22000E+3 1 0.4124 2.95000E+0 2
0.0736 1.05000E+3 1 0.4214 2.63000E+0 2
0.0836 1.10000E+3 1 0.4216 4.18000E+0 1
0.0850 9.13000E+2 1 0.4304 2.38000E+0 2
0.0922 9.45000E+2 1 0.4326 2.86000E+0 1
0.1037 8.46000E+2 1 0.4404 2.05000E+0 2
0.1052 7.75000E+2 1 0.4502 2.17000E+0 1
0.1103 7.70000E+2 1 0.4515 1.75000E+0 2
0.1250 5.96000E+2 1 0.4525 3.51000E+0 1
0.1259 6.51000E+2 1 0.4525 3.61000E+0 1
0.1259 5.71000E+2 1 0.4525 2.83000E+0 1
0.1479 4.21000E+2 1 0.4625 1.46000E+0 2
0.1505 4.10000E+2 1 0.4731 1.68000E+0 1
0.1560 3.95000E+2 1 0.4735 1.23000E+0 2
0.1636 2.85000E+2 1 0.4856 1.01000E+0 2
0.1688 3.06000E+2 1 0.4893 1.15000E+0 1
0.1740 2.14000E+2 1 0.4996 8.05000E-1 2
0.1790 2.07000E+2 1 0.5073 9.81000E-1 1
0.1865 1.56000E+2 1 0.5116 6.42000E-1 2
0.1865 1.82000E-+2 1 0.5253 7.32000E-1 1
0.1889 1.76000E+2 1 0.5277 4.86000E-1 2
0.1988 1.43000E+2 1 0.5310 6.81000E-1 1
0.2059 1.42000E+2 1 0.5417 3.73000E-1 2
0.2181 9.22000E+1 1 0.5470 5.02000E-1 1
0.2227 9.02000E+1 1 0.5501 4.86000E-1 1
0.2390 6.17000E+1 1 0.5568 2.76000E-1 2
0.2454 4.35000E+1 1 0.5679 3.45000E-1 1
0.2627 3.74000E+1 1 0.5718 3.28000E-1 1
0.2687 2.93000E+1 1 0.5748 1.98000E-1 2
0.2816 2.50000E+1 1 0.5883 2.04000E-1 1
0.3012 1.70000E+1 1 0.5917 2.19000E-1 1
0.3039 1.53000E+1 1 0.5918 2.25000E-1 1
0.3063 2.29000E+1 1 0.5918 1.41000E-1 2
0.3313 1.07000E+1 1 0.6115 1.55000E-1 1
0.3318 1.00000E+1 1 0.6117 1.32000E-1 1
0.3522 8.03000E+0 1 0.6119 9.65000E-2 2
0.3569 8.02000E+0 1 0.6121 1.49000E-2 1
0.3702 6.50000E+0 1 0.6218 1.25000E-2 1
0.3703 6.71000E+0 1 0.6330 6.60000E-2 2
0.3722 5.19000E+0 2 0.6340 8.76000E-2 1
0.3793 4.72000E+0 2 0.6371 9.54000E-2 1
0.3873 4.18000E+0 2 0.6440 8.27000E-2 1
0.3917 5.02000E+0 1 0.6508 7.48000E-2 1

Table 10.1. (Continued)


T90 (K)

+(m2/V.s)

Key

T90

+(m2/V.s)

Key
0.6550 4.45000E-2 2 0.9788 8.09000E+0 1
0.6599 6.24000E-2 1 0.9988 7.15000E-4 2
0.6648 5.83000E-2 1 1.0026 6.44000E-4 1
0.6781 2.97000E-2 2 1.0218 5.60000E-4 1
0.6784 4.59000E-2 1 1.0509 4.80000E-4 2
0.6788 3.96000E-2 1 1.1350 2.57000E-4 2
0.6845 4.23000E-2 1 1.1991 1.66000E-4 2
0.6910 3.22000E-2 1 1.3003 9.16000E-5 2
0.6947 3.50000E-2 1 1.4015 5.48000E-5 2
0.6972 3.36000E-2 1 1.5036 3.53000E-5 2
0.7031 2.03000E-2 2 1.6057 2.44000E-5 2
0.7038 2.97000E-2 1 1.7119 1.80000E-5 2
0.7108 2.70000E-2 1 1.8161 1.39000E-5 2
0.7154 2.18000E-2 1 1.9172 1.09000E-5 2
0.7213 2.25000E-2 1 2.0203 8.42000E-6 2
0.7292 1.38000E-2 2 2.1215 6.22000E-6 2
0.7318 1.65000E-2 1 2.1365 5.86000E-6 2
0.7330 1.93000E-2 1 2.1516 5.55000E-6 2
0.7402 1.69000E-2 1 2.1676 5.17000E-6 2
0.7474 1.54000E-2 1 2.1738 5.04000E-6 2
0.7505 1.25000E-2 1 2.1788 4.96000E-6 2
0.7591 1.31000E-2 1 2.2046 4.72000E-6 2
0.7593 8.86000E-3 2 2.2647 4.52000E-6 2
0.7633 1.22000E-2 1 2.3749 4.30000E-6 2
0.7637 1.19000E-2 1 2.4951 4.20000E-6 2
0.7715 9.20000E-3 1 2.6455 4.13000E-6 2
0.7731 1.07000E-2 1 2.8260 4.12000E-6 2
0.7833 8.98000E-3 1 3.0263 4.16000E-6 2
0.7877 8.52000E=3 1 3.2567 4.23000E-6 2
0.7883 6.05000E-3 2 3.5070 4.35000E-2 2
0.7928 6.78000E-3 1 3.7771 4.49000E-2 2
0.8070 6.44000E-3 1 3.9370 4.60000E-2 2
0.8107 5.29000E-3 1 4.1671 4.70000E-2 2
0.8224 4.01000E-3 2 4.3370 4.80000E-2 2
0.8324 3.93000E-3 1 4.4570 4.87000E-2 2
0.8543 2.98000E-3 1 4.5571 4.98000E-2 2
0.8615 2.58000E-3 2 4.7073 4.97000E-2 2
0.8761 2.39000E-3 1 4.8473 4.92000E-6 2
0.8821 2.20000E-3 1 4.9673 4.89000E-6 2
0.8914 1.96000E-3 1 5.0172 4.83000E-6 2
0.8996 1.74000E-3 2 5.0571 4.73000E-6 2
0.9131 1.55000E-3 1 5.0871 4.62000E-6 2
0.9344 1.24000E-3 1 5.1270 4.47000E-6 2
0.9477 1.11000E-3 2 5.1669 4.01000E-6 2
0.9541 1.04000E-3 1 5.1868 3.76000E-6 2

Figure 10.1. Positive ion mobility as a function of temperature along the saturated vapor pressure line.

Table 10.2. Knots and coefficients for the spline fit of .


Knots

Coefficients
K(1) = 2.549509E-2 C(1) = 7.324336E-4
K(2) = 2.549509E-2 C(2) = 7.127592E-4
K(3) = 2.549509E-2 C(3) = 6.936548E-4
K(4) = 2.549509E-2 C(4) = 5.173557E-4
K(5) = 8.989802E-2 C(5) = 4.285367E-4
K(6) = 2.949869E-1 C(6) = 2.823892E-4
K(7) = 4.513886E-1 C(7) = 2.125491E-4
K(8) = 7.045304E-1 C(8) = 1.285926E-4
K(9) = 7.577476E-1 C(9) = 5.123347E-5
K(10) = 7.944735E-1 C(10) = -3.728677E-5
K(11) = 1.062780E+0 C(11) = -8.564176E-5
K(12) = 1.394506E+0 C(12) = -1.067754E-4
K(13) = 1.791246E+0 C(13) = -1.321435E-4
K(14) = 2.152366E+0 C(14) = -1.381473E-4
K(15) = 2.203504E+0 C(15) = -1.396425E-4
K(16) = 2.205589E+0 C(16) = -1.325568E-4
K(17) = 2.727358E+0 C(17) = -1.292173E-4
K(18) = 4.425492E+0 C(18) = -1.335656E-4
K(19) = 5.043800E+0 C(19) = -1.409701E-4
K(20) = 5.154401E+0 C(20) = -1.424813E-4
K(21) = 5.186798E+0  
K(22) = 5.186798E+0  
K(23) = 5.186798E+0  
K(24) = 5.186798E+0  

Figure 10.2. Deviation of the database from the spline fit to .

Note : The large deviations at low temperatures reflect a divergence in magnitudes reported in Refs. 14 and 18.

Table 10.3. Adopted database for the negative ion mobility.


T90 (K)

-(m2/V.s)

Key

T90

-(m2/V.s)

Key
0.0351 1.08000E+3 1 0.0884 8.79000E+0 1
0.0405 6.47000E+2 1 0.0884 8.89000E+0 1
0.0449 3.76000E+2 1 0.0903 7.10000E+0 1
0.0496 2.49000E+2 1 0.0915 7.49000E+0 1
0.0531 1.69000E+2 1 0.0921 7.30000E+0 1
0.0541 1.34000E+2 1 0.0942 6.59000E+0 1
0.0541 1.46000E+2 1 0.0946 5.74000E+0 1
0.0547 1.41000E+2 1 0.0986 5.44000E+0 1
0.0547 1.29000E+2 1 0.0987 4.68000E+0 1
0.0555 1.18000E+2 1 0.0998 4.91000E+0 1
0.0560 1.16000E+2 1 0.1002 5.70000E+0 1
0.0575 9.48000E+1 1 0.1014 5.00000E+0 1
0.0578 8.71000E+1 1 0.1015 4.51000E+0 1
0.0596 7.91000E+1 1 0.1019 4.81000E+0 1
0.0596 7.72000E+1 1 0.1019 4.76000E+0 1
0.0596 8.11000E+1 1 0.1019 4.79000E+0 1
0.0597 7.72000E+1 1 0.1036 4.72000E+0 1
0.0597 7.80000E+1 1 0.1044 4.33000E+0 1
0.0597 7.83000E+1 1 0.1048 3.75000E+0 1
0.0601 7.41000E+1 1 0.1048 3.98000E+0 1
0.0601 7.02000E+1 1 0.1064 3.42000E+0 1
0.0601 7.18000E+1 1 0.1083 3.41000E+0 1
0.0601 6.87000E+1 1 0.1084 3.72000E+0 1
0.0616 6.01000E+1 1 0.1102 3.49000E+0 1
0.0621 6.22000E+1 1 0.1125 3.26000E+0 1
0.0622 5.99000E+1 1 0.1125 3.22000E+0 1
0.0632 5.59000E+1 1 0.1142 2.69000E+0 1
0.0644 4.76000E+1 1 0.1151 2.67000E+0 1
0.0655 4.55000E+1 1 0.1164 2.87000E+0 1
0.0657 3.37000E+1 1 0.1196 2.31000E+0 1
0.0663 4.15000E+1 1 0.1206 2.62000E+0 1
0.0663 4.03000E+1 1 0.1207 2.55000E+0 1
0.0685 3.39000E+1 1 0.1209 2.14000E+0 1
0.0686 3.63000E+1 1 0.1247 1.96000E+0 1
0.0688 3.39000E+1 1 0.1295 1.62000E+0 1
0.0690 3.27000E+1 1 0.1323 1.59000E+0 1
0.0690 3.39000E+1 1 0.1387 1.25000E+0 1
0.0698 3.11000E+1 1 0.1395 1.29000E+0 1
0.0704 2.91000E+1 1 0.1411 1.20000E+0 1
0.0704 2.92000E+1 1 0.1451 1.09000E+0 1
0.0704 2.85000E+1 1 0.1464 1.09000E+0 1
0.0745 2.09000E+1 1 0.1503 9.61000E-1 1
0.0782 1.66000E+1 1 0.1510 9.78000E-1 1
0.0782 1.62000E+1 1 0.1583 8.07000E-1 1
0.0820 1.26000E+1 1 0.1600 8.06000E-1 1
0.0843 1.11000E+1 1 0.1644 7.10000E-1 1
0.0873 9.75000E+0 1 0.1673 6.93000E-1 1

Table 10.3. (Continued)


T90 (K)

-(m2/V.s)

Key

T90

-(m2/V.s)

Key
0.1718 6.14000E-1 1 0.2914 1.20000E-1 1
0.1730 6.19000E-1 1 0.2920 1.12000E-1 2
0.1776 5.48000E-1 1 0.2937 1.21000E-1 1
0.1796 5.44000E-1 1 0.2965 1.18000E-1 1
0.1821 5.08000E-1 1 0.2972 1.13000E-1 1
0.1860 4.92000E-1 1 0.2990 1.15000E-1 1
0.1861 4.75000E-1 1 0.3010 1.02000E-1 2
0.1919 4.30000E-1 1 0.3017 1.09000E-1 1
0.1920 4.44000E-1 1 0.3029 9.99000E-2 1
0.1957 4.04000E-1 1 0.3072 1.03000E-1 1
0.1976 4.04000E-1 1 0.3076 1.06000E-1 1
0.2022 3.76000E-1 1 0.3111 9.25000E-2 2
0.2036 3.57000E-1 1 0.3118 1.02000E-1 1
0.2078 3.34000E-1 1 0.3132 9.73000E-2 1
0.2096 3.36000E-1 1 0.3182 9.62000E-2 1
0.2152 3.09000E-1 1 0.3202 9.14000E-2 1
0.2161 2.97000E-1 1 0.3211 8.35000E-2 2
0.2189 2.94000E-1 1 0.3231 9.22000E-2 1
0.2222 2.71000E-1 1 0.3248 8.78000E-2 1
0.2262 2.65000E-1 1 0.3292 8.47000E-2 1
0.2270 2.54000E-1 1 0.3308 8.60000E-2 1
0.2330 2.42000E-1 1 0.3331 7.50000E-2 2
0.2334 2.34000E-1 1 0.3362 7.96000E-2 1
0.2375 2.22000E-1 1 0.3377 6.60000E-2 1
0.2382 2.26000E-1 1 0.3411 6.42000E-2 1
0.2402 2.14000E-1 1 0.3424 7.82000E-2 1
0.2438 2.12000E-1 1 0.3425 7.55000E-2 1
0.2465 1.98000E-1 1 0.3446 6.26000E-2 1
0.2507 1.88000E-1 1 0.3452 6.70000E-2 2
0.2512 1.93000E-1 1 0.3463 7.32000E-2 1
0.2571 1.80000E-1 1 0.3483 7.44000E-2 1
0.2575 1.74000E-1 1 0.3494 6.00000E-2 1
0.2628 1.63000E-1 1 0.3503 7.10000E-2 1
0.2631 1.68000E-1 1 0.3529 7.16000E-2 1
0.2675 1.55000E-1 1 0.3560 5.69000E-2 1
0.2703 1.55000E-1 1 0.3582 6.05000E-2 2
0.2732 1.45000E-1 1 0.3589 6.83000E-2 1
0.2749 1.35000E-1 2 0.3634 6.60000E-2 1
0.2757 1.46000E-1 1 0.3640 5.33000E-2 1
0.2774 1.43000E-1 1 0.3711 5.05000E-2 1
0.2782 1.38000E-1 1 0.3722 5.40000E-2 2
0.2811 1.33000E-1 1 0.3741 6.11000E-2 1
0.2812 1.37000E-1 1 0.3762 .86000E-2 1
0.2840 1.23000E-1 2 0.3808 5.79000E-2 1
0.2879 1.24000E-1 1 0.3857 4.53000E-2 1
0.2896 1.26000E-1 1 0.3873 5.56000E-2 1
0.2898 1.26000E-1 1 0.3873 4.80000E-2 2

Table 10.3. (Continued)


T90 (K)

-(m2/V.s)

Key

T90

-(m2/V.s)

Key
0.3907 4.37000E-2 1 0.5219 1.86000E-2 1
0.3933 5.27000E-2 1 0.5238 2.32000E-2 1
0.3960 4.20000E-2 1 0.5257 1.82000E-2 1
0.3999 5.32000E-2 1 0.5277 1.90000E-2 2
0.4015 4.04000E-2 1 0.5322 2.20000E-2 1
0.4063 4.23000E-2 2 0.5335 1.73000E-2 1
0.4065 4.82000E-2 1 0.5400 2.10000E-2 1
0.4087 3.84000E-2 1 0.5400 1.72000E-2 1
0.4133 4.61000E-2 1 0.5400 1.67000E-2 1
0.4178 3.60000E-2 1 0.5417 1.74000E-2 2
0.4187 4.43000E-2 1 0.5479 1.59000E-2 1
0.4214 3.72000E-2 2 0.5539 1.93000E-2 1
0.4244 4.27000E-2 1 0.5539 1.72000E-2 1
0.4263 3.40000E-2 1 0.5568 1.56000E-2 2
0.4320 4.05000E-2 1 0.5587 1.49000E-2 1
0.4321 3.28000E-2 1 0.5635 1.45000E-2 1
0.4380 3.90000E-2 1 0.5655 1.81000E-2 1
0.4381 3.13000E-2 1 0.5655 1.72000E-2 1
0.4404 3.27000E-2 2 0.5710 1.38000E-2 1
0.4465 3.70000E-2 1 0.5726 1.72000E-2 1
0.4468 2.97000E-2 1 0.5748 1.41000E-2 2
0.4533 3.54000E-2 1 0.5789 1.31000E-2 1
0.4542 2.83000E-2 1 0.5820 1.64000E-2 1
0.4598 3.95000E-2   0.5836 1.27000E-2 1
0.4617 2.69000E-2 1 0.5912 1.21000E-2 1
0.4625 2.84000E-2 2 0.5918 1.25000E-2 2
0.4653 3.29000E-2 1 0.5936 1.51000E-2 1
0.4694 2.57000E-2 1 0.6048 11000E-2 1
0.4714 3.17000E-2 1 0.6052 1.40000E-2 1
0.4717 2.44000E-2 1 0.6052 1.64000E-2 1
0.4794 3.01000E-2 1 0.6102 1.34000E-2 1
0.4805 2.39000E-2 1 0.6102 1.07000E-2 1
0.4845 2.95000E-2 1 0.6119 1.09000E-2 2
0.4856 2.45000E-2 2 0.6152 1.31000E-2 1
0.4908 2.81000E-2 1 0.6189 1.01000E-2 1
0.4921 2.23000E-2 1 0.6242 9.69000E-3 1
0.4951 2.19000E-2 1 0.6278 1.20000E-2 1
0.4986 2.68000E-2 1 0.6278 1.31000E-2 1
0.4996 2.25000E-2 2 0.6330 9.29000E-3 2
0.5016 2.64000E-2 1 0.6340 9.10000E-3 1
0.5062 2.57000E-2 1 0.6347 1.14000E-2 1
0.5070 2.03000E-2 1 0.6416 8.76000E-3 1
0.5111 1.99000E-2 1 0.6419 1.08000E-2 1
0.5116 2.09000E-2 2 0.6464 1.04000E-2 1
0.5126 2.47000E-2 1 0.6468 8.87000E-3 1
0.5126 2.20000E-2 1 0.6529 8.45000E-3 1
0.5162 2.06000E-2 1 0.6532 7.85000E-3 1

Table 10.3. (Continued)


T90 (K)

-(m2/V.s)

Key

T90

-(m2/V.s)

Key
0.6543 9.79000E-3 1 0.8132 1.90000E-3 1
0.6550 7.86000E-3 2 0.8224 1.71000E-3 2
0.6588 7.30000E-3 1 0.8229 1.74000E-3 1
0.6595 7.98000E-3 1 0.8357 1.51000E-3 1
0.6637 7.69000E-3 1 0.8417 1.44000E-3 1
0.6644 9.01000E-3 1 0.8421 1.37000E-3 1
0.6662 7.07000E-3 1 0.8450 1.32000E-3 1
0.6712 7.23000E-3 1 0.8526 1.22000E-3 1
0.6763 6.50000E-3 1 0.8606 1.66000E-3 1
0.6766 6.93000E-3 1 0.8615 1.19000E-3 2
0.6781 6.50000E-3 2 0.8713 1.00000E-3 1
0.6824 6.18000E-3 1 0.8834 8.83000E-4 1
0.6831 6.55000E-3 1 0.8996 8.40000E-4 2
0.6889 5.86000E-3 1 0.9144 6.28000E-4 1
0.6932 5.99000E-3 1 0.9257 5.74000E-4 1
0.6958 5.54000E-3 1 0.9321 5.50000E-4 1
0.7023 5.73000E-3 1 0.9394 7.53000E-4 1
0.7031 5.25000E-3 2 0.9412 5.03000E-4 1
0.7038 5.14000E-3 1 0.9453 4.95000E-4 1
0.7108 5.17000E-3 1 0.9477 5.63000E-4 2
0.7116 5.28000E-3 1 0.9578 4.32000E-4 1
0.7123 5.06000E-3 1 0.9578 4.40000E-4 1
0.7135 4.70000E-3 1 0.9689 4.08000E-4 1
0.7165 4.90000E-3 1 0.9736 3.77000E-4 1
0.7206 4.68000E-3 1 0.9945 3.14000E-4 1
0.7217 4.36000E-3 1 0.9988 3.77000E-4 2
0.7262 4.43000E-3 1 1.0098 2.75000E-4 1
0.7292 4.11000E-3 2 1.0098 2.90000E-4 1
0.7296 4.06000E-3 1 1.0198 2.75000E-4 1
0.7364 4.04000E-3 1 1.0308 2.35000E-4 1
0.7368 3.96000E-3 1 1.0358 2.35000E-4 1
0.7440 3.75000E-3 1 .0509 2.04000E-4 1
0.7455 3.51000E-3 1 1.0509 2.04000E-4 1
0.7505 3.53000E-3 1 1.0509 2.60000E-4 2
0.7532 3.23000E-3 1 1.1350 2.51000E-4 2
0.7564 3.15000E-3 1 1.1991 1.00000E-5 2
0.7593 3.09000E-3 2 1.3003 5.76000E-5 2
0.7676 2.99000E-3 1 1.4015 3.60000E-5 2
0.7743 2.78000E-3 1 1.5036 2.42000E-5 2
0.7774 2.67000E-3 1 1.6057 1.74000E-5 2
0.7802 2.56000E-3 1 1.7119 1.33000E-5 2
0.7841 2.46000E-3 1 1.8161 1.05000E-5 2
0.7881 2.35000E-3 1 1.9172 8.42000E-6 2
0.7883 2.35000E-3 2 2.0203 6.47000E-6 2
0.7964 2.18000E-3 1 2.1215 4.61000E-6 2
0.7964 2.24000E-3 1 2.1365 4.37000E-6 2
0.8054 2.06000E-3 1 2.1516 4.05000E-6 2
2.1676 3.68000E-6 2 4.1671 4.96000E-6 2
2.1738 3.56000E-6 2 4.3370 1.91000E-6 2
2.1788 3.46000E-6 2 4.4570 1.87000E-6 2
2.2046 3.26000E-6 2 4.5571 1.86000E-6 2
2.2647 3.01000E-6 2 4.7073 1.80000E-6 2
2.3749 2.78000E-2 2 4.8473 1.76000E-6 2
2.4951 2.61000E-6 2 4.9673 1.72000E-6 2
2.6455 2.47000E-6 2 5.0172 1.69000E-6 2
2.8260 2.34000E-6 2 5.0571 1.67000E-6 2
3.0263 2.26000E-6 2 5.0871 1.65000E-6 2
3.2567 2.18000E-6 2 5.1270 1.61000E-6 2
3.5070 2.11000E-6 2 5.1669 1.58000E-6 2
3.7771 2.03000E-6 2 5.1868 1.57000E-6 2
3.9370 2.01000E-6 2      

Figure 10.3. The recommended values of the negative ion mobility as a function of temperature at saturated vapor pressure.

Table 10.4. Knots and coefficients for the spline fit of . .


Knots

Coefficients
K(1) = 3.513060E-2 C(1) = 7.033374E-4
K(2) = 3.513060E-2 C(2) = 6.736553E-4
K(3) = 3.513060E-2 C(3) = 5.158198E-4
K(4) = 3.513060E-2 C(4) = 4.508211E-4
K(5) = 5.875667E-2 C(5) = 4.002894E-4
K(6) = 1.179363E-1 C(6) = 2.552750E-4
K(7) = 1.537502E-1 C(7) = 2.496965E-4
K(8) = 1.649872E-1 C(8) = 1.466750E-4
K(9) = 6.623561E-1 C(9) = 1.088565E-4
K(10) = 8.008330E-1 C(10) = 4.892824E-5
K(11) = 8.281207E-1 C(11) = 1.064366E-5
K(12) = 9.599097E-1 C(12) = -4.138096E-5
K(13) = 1.152959E+0 C(13) = -8.747069E-5
K(14) = 1.351840E+0 C(14) = -1.058640E-4
K(15) = 1.607292E+0 C(15) = -1.326369E-4
K(16) = 2.021290E+0 C(16) = -1.474489E-4
K(17) = 2.176597E+0 C(17) = -1.522085E-4
K(18) = 2.186372E+0 C(18) = -1.603564E-4
K(19) = 2.189764E+0 C(19) = -1.681873E-4
K(20) = 2.374662E+0 C(20) = -1.700160E-4
K(21) = 3.014612E+0 C(21) = -1.756753E-4
K(22) = 4.660651E+0 C(22) = -1.768276E-4
K(23) = 4.838042E+0 C(23) = -1.801619E-4
K(24) = 5.105466E+0 C(24) = -1.804100E-4
K(25) = 5.186798E+0  
K(26) = 5.186798E+0  
K(27) = 5.186798E+0  
K(28) = 5.186798E+0  

Figure 10.4. The fractional deviation of values of the adopted database from the recommended values for the in liquid 4He expressed in percent.

Table 10.5. Recommended values of the positive ion mobility in liquid 4He.


T90 (K)

+(m2/V.s)

T90 (K)

+(m2/V.s)
0.1000 8.577E+2 2.1765 5.017E-6
0.1500 3.902E+2 2.1766 5.015E-6
0.2000 1.403E+2 2.1767 5.013E-6
0.2500 4.723E+1 2.1768 5.012E-6
0.3000 1.765E+1 2.1769 5.010E-6
0.3500 8.127E+0 2.1770 5.008E-6
0.4000 4.202E+0 2.2000 4.733E-6
0.4500 2.146E+0 2.2500 4.571E-6
0.5000 9.786E-1 2.3000 4.447E-6
0.5500 4.069E-1 2.3500 4.349E-6
0.6000 1.627E-1 2.4000 4.274E-6
0.6500 6.605E-2 2.4500 4.218E-6
0.7000 2.870E-2 2.5000 4.178E-6
0.7500 1.359E-2 2.5500 4.151E-6
0.8000 6.271E-3 2.6000 4.135E-6
0.8500 3.148E-3 2.6500 4.127E-6
0.9000 1.756E-3 2.7000 4.124E-6
0.9500 1.066E-3 2.7500 4.125E-6
1.0000 6.906E-4 2.8000 4.128E-6
1.0500 4.676E-4 2.8500 4.133E-6
1.1000 3.247E-4 2.9000 4.140E-6
1.1500 2.299E-4 2.9500 4.148E-6
1.2000 1.659E-4 3.0000 4.158E-6
1.2500 1.221E-4 3.0500 4.170E-6
1.3000 9.174E-5 3.1000 4.184E-6
1.3500 7.033E-5 3.1500 4.198E-6
1.4000 5.505E-5 3.2000 4.215E-6
1.4500 4.398E-5 3.2500 4.233E-6
1.5000 3.583E-5 3.3000 4.252E-6
1.5500 2.971E-5 3.3500 4.272E-6
1.6000 2.503E-5 3.4000 4.293E-6
1.6500 2.139E-5 3.4500 4.316E-6
1.7000 1.852E-5 3.5000 4.339E-6
1.7500 1.622E-5 3.5500 4.364E-6
1.8000 1.434E-5 3.6000 4.389E-6
1.8500 1.277E-5 3.6500 4.416E-6
1.9000 1.140E-5 3.7000 4.443E-6
1.9500 1.014E-5 3.7500 4.470E-6
2.0000 8.945E-6 3.8000 4.499E-6
2.0500 7.787E-6 3.8500 4.528E-6
2.1000 6.653E-6 3.9000 4.557E-6
2.1500 5.550E-6 3.9500 4.586E-6
2.1760 5.025E-6 4.0000 4.616E-6
2.1761 5.024E-6 4.0500 4.646E-6
2.1762 5.022E-6 4.1000 4.677E-6
2.1763 5.020E-6 4.1500 4.707E-6
2.1764 5.019E-6 4.2000 4.737E-6
4.2500 4.767E-6 4.6500 4.969E-6
4.3000 4.797E-6 4.7000 4.978E-6
4.3500 4.826E-6 4.7500 4.979E-6
4.4000 4.855E-6 4.8000 4.970E-6
4.4500 4.883E-6 4.8500 4.951E-6
4.5000 4.910E-6 4.9000 4.921E-6
4.5500 4.934E-6 4.9500 4.878E-6
4.6000 4.954E-6 5.0000 4.822E-6

Table 10.6. Recommended values of the negative ion mobility of liquid 4He.


T90 (K)

-(m2/V.s)

T90 (K)

-(m2/V.s)
0.1000 5.012E+0 2.1765 3.513E-6
0.1500 9.560E-1 2.1766 3.511E-6
0.2000 3.913E-1 2.1767 3.509E-6
0.2500 1.924E-1 2.1768 3.507E-6
0.3000 1.079E-1 2.1769 3.505E-6
0.3500 6.729E-2 2.1770 3.503E-6
0.4000 4.546E-2 2.2000 3.269E-6
0.4500 3.244E-2 2.2500 3.062E-6
0.5000 2.383E-2 2.3000 2.921E-6
0.5500 1.757E-2 2.2500 3.062E-6
0.6000 1.267E-2 2.3000 2.921E-6
0.6500 8.707E-3 2.3500 2.821E-6
0.7000 5.592E-3 2.4000 2.740E-6
0.7500 3.444E-3 2.4500 2.670E-6
0.8000 2.138E-3 2.5000 2.607E-6
0.8500 1.342E-3 2.5500 2.552E-6
0.9000 8.006E-4 2.6000 2.504E-6
0.9500 4.844E-4 2.6500 2.461E-6
1.0000 3.173E-4 2.7000 2.423E-6
1.0500 2.253E-4 2.7500 2.390E-6
1.1000 1.685E-4 2.8000 2.360E-6
1.1500 1.290E-4 2.8500 2.334E-6
1.2000 9.880E-5 2.9000 2.309E-6
1.2500 7.567E-5 2.9500 2.287E-6
1.3000 5.836E-5 3.0000 2.267E-6
1.3500 4.562E-5 3.0500 2.248E-6
1.4000 3.636E-5 3.1000 2.229E-6
1.4500 2.956E-5 3.1500 2.212E-6
1.5000 2.449E-5 3.2000 2.195E-6
1.5500 2.066E-5 3.2500 2.180E-6
1.6000 1.772E-5 3.3000 2.164E-6
1.6500 1.545E-5 3.3500 2.150E-6
1.7000 1.363E-5 3.4000 2.136E-6
1.7500 1.214E-5 3.4500 2.122E-6
1.8000 1.088E-5 3.5000 2.109E-6
1.8500 9.757E-6 3.5500 2.097E-6
1.9000 8.736E-6 3.6000 2.084E-6
1.9500 7.779E-6 3.6500 2.072E-6
2.0000 6.862E-6 3.7000 2.060E-6
2.0500 5.971E-6 3.7500 2.049E-6
2.1000 5.052E-6 3.8000 2.037E-6
2.1500 4.060E-6 3.8500 2.026E-6
2.1760 3.523E-6 3.9000 2.015E-6
2.1761 3.521E-6 3.9500 2.003E-6
2.1762 3.519E-6 4.0000 1.992E-6
2.1763 3.517E-6 4.0500 1.980E-6
2.1764 3.515E-6 4.1000 1.969E-6
4.1500 1.957E-6 4.6000 1.837E-6
4.2000 1.945E-6 4.6500 1.822E-6
4.2500 1.933E-6 4.7000 1.806E-6
4.3000 1.920E-6 4.7500 1.790E-6
4.3500 1.907E-6 4.8000 1.774E-6
4.4000 1.894E-6 4.8500 1.759E-6
4.4500 1.881E-6 4.9000 1.743E-6
4.5000 1.867E-6 4.9500 1.726E-6
4.5500 1.852E-6 5.0000 1.703E-6

 

Chronological Bibliography for Ion Mobilities


1

R. L. Williams, "Ionic Mobilities in Argon and Liquid Helium," Can. J. Phys. 35, 134-146 (1957).
2 G. Careri, F. Scaramuzzi, and J. O. Thomson, “Heat Flush and Mobility of Electric Charges in Liquid Helium,” Nuovo Cimento 13, 186-196 (1958).
3 L. Meyer and F. Reif, “Mobility of He Ions in Liquid Helium,” Phys. Rev. 110, 279-280 (1958).
4 R. G. Arkhipov and A. I. Shalnikov, “On the Problem of the Motion of Charges in Liquid Helium,” Sov. Phys. JETP 37, 888-890 (1960).
5 G. Careri, U. Fasoli, and F. S. Gaeta, “Experimental Behavior of Ionic Structures in Liquid Helium II,” Nuovo Cimento 15, 774-783 (1960).
6 F. Reif and L. Meyer, “Study of Superfluidity in Liquid He by Ion Motion,” Phys. Rev. 119, 1164-1173 (1960).
7 L. Meyer and F. Reif, “Ion Motion in Superfluid Liquid Helium Under Pressure,” Phys. Rev. 123, 727-731 (1961).
8 L. Meyer, H. T. Davis, S. A. Rice, and R. J. Donnelly, “Mobility of Ions in Liquid 4He I and 3He as a Function of Temperature and Pressure,” Phys. Rev. 126, 1927-1934 (1962).
9 B. E. Springett and R. J. Donnelly, “Pressure Dependence of the Radius of the Negative Ion in Helium II,” Phys. Rev. Lett. 17, 364-367 (1966).
10 K. W. Schwarz and S. R. W., “Scattering of Positive Ions by Elementary Excitations in Superfluid Helium,” Phys. Rev. Lett. 22, 1278-1280 (1969).
11 D. M. Sitton and F. Moss, “Free Ion Mobility in Helium II using Field Emission Points,” Phys. Lett. 34, 159-160 (1971).
12 G. Ahlers and G. Gamota, “Ion Mobilities in 4He Near the Superfluid Transition and the Melting Line,” Phys. Lett. A 38, 65-66 (1972).
13 R. M. Ostermeier and K. W. Schwarz, “Motion of Charge Carriers in Normal 4He,” Phys. Rev. A 5, 2510-2519 (1972).
14 K. W. Schwarz, “Charge Carrier Mobilities in Liquid Helium at the Vapor Pressure,” Phys. Rev. A 6, 837-844 (1972).
15 K. W. Schwarz, “Mobilities of Charge Carriers in Superfluid Helium,” in Advances in Chemical Physics (John Wiley and Sons, Inc., 1975), Vol. 33.
16 C. F. Barenghi, C. J. Mellor, C. M. Muirhead, and W. F. Vinen, “Experiments on Ions Trapped Below the Surface of Superfluid 4He,” J. Phys. C: Solid State Phys. 19, 1135-1144 (1986).
17 C. J. Mellor, C. M. Muirhead, J. Traverse, and W. F. Vinen, “Proceedings of the 18th International Conference on Low Temperature Physics,” J. Appl. Phys. 26, 383-384 (1987).
18 C. F. Barenghi, C. J. Mellor, J. Meredith, C. M. Muirhead, P. K. H. Sommerfeld, and W. F. Vinen, “Ions Trapped Below the Surface of Superfluid Helium I. The Observation of Plasma Resonances, and the Measurement of Effective Masses and Ionic Mobilities,” Phil. Trans. R. Soc. Lond. A 331, 139-172 (1991)

 

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