|
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 The
Observed Properties of Liquid Helium
at the Saturated Vapor
Pressure
Chapter 8. Entropy
Adopted Database for µ+
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Author(s) |
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Key # |
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Method |
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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 µ-
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Author(s) |
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Key # |
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Method |
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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/V×s to cm2/V×s, multiply by 104.
Table 10.1. Adopted database for the positive ion mobility.
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T90 (K) |
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µ+(m2/V.s) |
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Key |
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T90 |
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µ+(m2/V.s) |
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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)
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T90 (K) |
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µ+(m2/V.s) |
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Key |
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T90 |
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µ+(m2/V.s) |
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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 |
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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) |
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µ-(m2/V.s) |
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Key |
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T90 |
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µ-(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) |

µ-(m2/V.s) |

Key |

T90 |

µ-(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) |

µ-(m2/V.s) |

Key |

T90 |

µ-(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) |

µ-(m2/V.s) |

Key |

T90 |

µ-(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) |
 µ+(m2/V.s) |
 T90
(K) |
 µ+(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) |
 µ-(m2/V.s) |
 T90
(K) |
 µ-(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.
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