Retrospective Theses and Dissertations
1961
Stability constants of some rare-earth-metal chelates Robert Harreld Karraker Iowa State University
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This dissertation has been 62—1353 microfilmed exactly as received KARRAKER, Robert Harreld, 1931STABILITY CONSTANTS OF SOME RARE-EARTHMETAL CHELATES. Iowa State University of Science and Technology Ph.D., 1961 Chemistry, inorganic University Microfilms, Inc., Ann Arbor, Michigan
STABILITY CONSTANTS OP SOME RABE-EARTH-METAL CHELATES by Robert Harreld Karraker
A Dissertation Submitted to the Graduate Faculty in Partial Fulfillment of The Requirements for the Degree of DOCTOR OF PHILOSOPHY Major Subjects
Inorganic Chemistry
Approved: Signature was redacted for privacy.
arge of Major Work Signature was redacted for privacy.
Head of Major Departmen Signature was redacted for privacy.
Dean/of Graduate College
Iowa State University Of Science and Technology Ames, Iowa
1961
ii TABLE OF CONTENTS Page INTRODUCTION
1
RARE-EARTH GLYCOLATE AND LACTATE STABILITY CONSTANTS
4
Review Methods of determining stability constants of metal complexes with organic acids Observed variations of some organic acid stability constants with metal and ligand Experimental Derivation of the experimental methods . Calculation of the margins of error
4 4 11 19 19 23
Materials and equipment
27
Procedure
29
Discussion RARE-EARTH DCTA STABILITY CONSTANTS
36 4?
Methods of Determining Strong Stability Constants
47
Experimental
50
Derivation of equations
50
Materials and equipment
53
Procedure
55
Discussion
59
SUMMARY
68
LITERATURE CITED
69
ACKNOWLEDGMENTS
74
iii Page APPENDIX! EXPERIMENTAL DATA FROM MEASUREMENT OF RARE-EARTH GLYCOLATE AND LACTATE STABILITY CONSTANTS
75
Lanthanum Glycolate
76
Cerium Glycolate
77
Praseodymium Glycolate
78
Neodymium Glycolate
79
Samarium Glycolate
80
Europium Glycolate
81
Gadolinium Glycolate
82
Terbium Glycolate
.
8
3
Dysprosium Glycolate
84
Holmium Glycolate
85
Erbium Glycolate
86
Thulium Glycolate
87
Ytterbium Glycolate
88
Lutetium Glycolate
89
Yttrium Glycolate
90
Lanthanum Lactate
91
Cerium Lactate
-
92
Praseodymium Lactate
93
Neodymium Lactate
94
Samarium Lactate
.95
Europium Lactate
96
Gadolinium Lactate
97
iv Page Terbium Lactate
98
Dysprosium Lactate
99
Holmium Lactate
100
Erbium Lactate
101
Thulium Lactate
102
Ytterbium Lactate
103
Lutetium Lactate
.104
Yttrium Lactate
105
1 INTRODUCTION
This dissertation is concerned with the measurement of the stability constants of several rare-earth complexes. Two separate types of complexes were studied in order to elucidate this phase of lanthanide chemistry.
The complexes'
of glycolic acid and lactic acid with the rare-earths were studied as examples of weak complexes and the complexes of rare-earths with 1,2-diaminocyclohexane-N,N,N1,N'-1etraacetic acid (DCTA), where only the 1:1 chelate is formed, were studied as examples of strong complexes. The separation of large amounts of pure rare-earths and yttrium by ion exchange was developed recently at Ames Laboratory (1,2,3) and has increased the availability of pure rare earths.
The process involves the use of ion-exchange
resins in conjunction with chelating agents. The basis of the separation is the exchange of metal ions between a cationexchange resin and an aqueous phase.
The ability of the
aqueous phase to compete with the resin for a rare-earth ion is due mainly to the complexing ability of the chelating agent used.
Chelate stability constants, then, permit an estimation
of the separation possible and the elution distance required (3).
Powell (4) has reviewed the application of chelating
agents to the ion-exchange separation of rare-earth mixtures. Aminopolyacetic acids have proven to be excellent chelat ing agents for use as eluants in the rare-earth separation
2 process (3,4) and stability constants have been determined previously for the rare-earth chelates of ethylenediamineN,N,N',N'-tetraacetic acid (EDTA) (5,6), N1(hydroxyethyl)ethylenediamine-N,N,N'-triaceti c acid (HEDTA) (5,7), 1,2-bis-C2-di(carboxymethyl)aminoethoxy]ethane (DE) (7,8), 2,2*-bis[di(carboxymethy1)amino3diethyl ether (ME) (7,8), and carboxymethyl-bis-32-di(carboxymethyl)-aminoethyllamine (DETEA) (9).
Stability constants for most of the rare-earth
chelates of DCTA have also been reported (6).
However, the
holmium-DOTA constant was not reported, and there, appeared to be a discrepancy in the relationship of the yttrium to the rest of the rare earths when the values were compared with the stability constant sequence obtained with EDTA. Glycolic and lactic acids have not been used for the separation of rare earths in macro-quantities; however, both have been used effectively for the separation of tracer quantities of the rare earths and actinides.
Freiling and
Bunney (10) have reported optimum conditions for rare-earth separations with ammonium lactate as the eluting agent. Cunninghame et al. (11) have also reported separations of the rare earths with lactate solutions.
Stewart (12) reported
separations of rare-earth tracers with an ammonia-buffered solution of glycolic acid.
Choppin, Harvey and Thompson (13)
compared the separation factors of glycol!c, lactic, and c [Gly-] x 103
n
n/[Gly'
1 2 4 6 8
4.03 4.91 5.30 5.19 4.88
0.403 O.836 1.781 2.873 4.187
0.250 0.414 0.687 0.912 1.075
620 495 386 317 257
10 12 14 16 20
4.69 4.47 4.34 4.13 3.91
5.528 7.030 8.502 10.266 13.641
1.235 1.354 1.483 1.537 1.688
223 193 174 150 124
24 28 32 38
3.75 3.58 3.47 3.33
17.136 21.002 24.812 30.767
1.810 1.839 1.884 1.892
105.6 87.6 75-9 61.5
10-3
x3
•ly-] x 103
XJ
X1
x2
X
0.3 1.0 2.0 3.0 4.0
1.247 1.826 2.759 3.872 5.174
823 826 880 957 1044
143 46 50 59 66
6.0 8.0 10.0 12.0 15.0
8.353 12.35 17.25 23.06 33.58
1266 1419 1625 I838 2172
74 80 85 88 93
2511 2976 3477 3923 4309
96 100 104 105 104
18.0 22.0 26.0 30.0 34.0
46.19 66.47 91.39 118.7 147.5
1.3 1.3 1.4 1.3 1.3 1.2
80 Samarium Glycolate
c A X io3 A
[H+] x 104
[Gly-] x lo3
n
n/[Gly"
1 2 4 6 8
4.13 5.32 5.75 5.57 5.27
0.387 0.751 1.620 2.658 3.857
0.257 0.445 0.739 0.975 1.168
664 593 453 367 303
10 12 14 16 20
4.95 4.76 4.54 4.37 4.09
5.223 6.585 8.116 9.687 13.029
1.318 1.473 1.585 1.688 1.845
252 224 195 174 141.6
24 28 32 38
3.85 3.66 3.55 3.41
16.684 20.537 24.246 30.039
1.925 1.957 2.027 2.076
115.4 95.3 83.60 69.I
[Gly-] x 103 0.3 1.0 2.0 3.0 4.0
Xj
1.252 1.905 3.040 4.440 6.133
X1
X2 X 10
840 905 1020 1147 1283
85 100 109 116
6.0 8.0 10.0 12.0 15.0
10.42 16.05 23.18 32.00 48.49
1570 1881 2218 2583 3166
125 133 140 147 156
18.0 22.0 26.0 30.0 34.0
68.53 101.1 141.5 190.5 247.6
3752 4550 5404 6317 7253
163 170 176 I83 189
Xo x 10- 6
tt
3.7 3.7
3.5
81 Europium Glycolate
c A x io3
[H+] x 104
[Gly-] x 103
n
n/[Gly'
l 2 4 6 8
4.23 5-32 5.81 5.66 5.36
0.371 0.751 1.601 2.611 3.788
0.263 0.445 0.745 0.989 1.187
709 593 . 465 379 313
10 12 14 16 20
5.07 4.86 4.57 4.37 4.13
5.093 6.444 8.061 9.687 12.899
1.354 1.511 1.599 1.688 1.879
266 234 198 174 146
24 28 32 38
3-87 3.72 3.56 3.39
16.596 20.201 24.177 30.219
1.948 2.043 2.045 2.030
117 101.1 84.6 67.2
[Gly-] x 103 0.3 1.0 2.0 3.0 4.0
xJ
1.266 1.965 3.169 4.661 6.470
X1
X2 x 10
887 965 1085 1220 1368
90 105 113 120 127
6.0 8.0 10.0 12.0 15.0
11.10 17.15 24.73 34.03 51.79
1683 2019 2373 2753 3386
137 145 151 158 168
18.0 22.0 26.0 30.0 34.0
74.61 112.7 158.8 212.9 277.1
4089 5077 6069 7063 8121
179 192 200 207 214
Xj x 10"6
3.3 3.3 3-3
3:S 3.2
82 Gadolinium Glycolate
CA x 103
[H+] x 104
[Gly-] x 103
n
n/[Gly'
1 2 4 6 8
3.81 4.76 5.24 5.15 4.84
0.442 0.871 1.804 2.897 4.224
0.235 0.401 0.680 0.905 1.065
532 460 377 312 252
10 12 14 16 20
4.69 4.47 4.26 4.13 3.91
5.528 7.030 8.667 10.266 13.641
1.235 1.354 1.440 1.537 1.688
223 193 166 150 124
24 28 32 38
3.72 3.55 3.44 3.33
17.276 21.182 25.030 30.767
1.774 1.743 1.829 1.892
102.7 84.6 73.1 61.5
[Gly-] x 103
xJ
X1
X2 x 10-3
x 10- 6
0.3 1.0 2.0 3.° 4.0
1.192 1.686 2.514 3.507 4.673
640 686 757 836 918
69 72 75
6.0 8.0 10.0 12.0 15.0
7.524 11.07 15.37 20.77 30.28
1087 1259 1437 1648 1952
78 80 82 86 89
1.00 1.00 1.00 1.17 1.13
2268 2690 3102 3513 3909
92 94 95 96 97
l.ii 1.00 0.88
18.0 22.0 26.0 • 30.0 34.0
41.82 60.17 81.63 106.4 133.4
83 Terbium Glycolate
CA X io3
[H+] x 104
[Gly"] x 103
n
n/[Gly'
l 2 4 6 8
3-87 4.84 5.24 5.27 4.95
0.431 0.852 1.804 2.825 4.124
0.239 0.408 0.680 0.926 1.093
555 479 377 328 265
10 12 14 16 20
4.72 4.51 4.42 4.23 4.00
5.491 6.9&5 8.343 10.016 13.328
1.245 1.372 1.525 1.602 1.768
227 197 183 160 133
24 28 32 38
3.78 3.61 3.50 3.39
16.998 20.825 24.597 30.218
1.845 1.884 1.938 2.030
108.5 90.5 78.8 67.2
[Gly] x lo3
Xj
0.3 1.0 2.0 3.0 4.0
1.199 1.716 2.572 3.605 4.815
6.0 8.0 10.0 12.0 15.0
7.777 11.50 16.15 21.84 32.42
18.0 22.0 26.0 30.0 34.0
45.32 66.01 91.17 121.8 157.8
X1
x2 X 10-3
X. x 10-6
663 716 786 868 954
56 63 69 74
1130 1313 1515 1737 2095
78 82 86 90 96
1.00
100 104 108 112 116
1.05 1.05 1.04 I.03 1.03
2462 2955 3468 4027 4612
84 Dysprosium Glycolate
CA x 103
[H+] x 104
[Gly-] x 103
n
4.14 5.15 5.62 5.50 5.24
0.385 0.784 1.664 2.695 3.881
0.257 0.433 0.725 0.964 1.161
668 552 436 358 299
10 12 14 16 20
4.99 4.76 4.52 4.38 4.09
5.179 6.585 8.153 9.664 13.029
1.330 1.473 1.575 1.694 1.845
257 224 193 175 142
24 28 32 38
3.91 3.71 3.61 3.47
16.424 20.256 23.839 29.515
1.992 2.029 2.131 2.208
121 100.2 89.4 74.8
1 2 4 6 8
[Gly"] x 103 0.3 1.0 2.0 3.0 4.0
Xj
1.254 1.890 2.971 4.305 5.919
X1
.
X2 x 10-3
847 890 986 1102 1230
73.0 87.3 97.5
6.0 8.0 10.0 12.0 15.0
10.04 15.42 22.21 30.61 46.49
1507 1803 2121 2468 3032
111.2 120.4 128.1 135.7 146.2
18.0 22.0 26.0 30.0 34.0
66.70 101.0 144.5 197.3 259.3
3650 4545 5519 6543 7597
156.1 168.4 180.0 190.1 198.7
n/[Gly'
Xc x 1CT6
3.4 3-5 3-5 3.5 3.5 3.4
85 Holmium Glycolate
CA x 103
[H+] x 104
[Gly-] x 103
n
n/[Gly'
1 2 4 6 8
4.34 5136 5.81 5.57 5.36
0.355 0.743 1.601 2.658 3.788
0.270 0.448 0.745 0.975 1.187
761 603 465 367 313
10 12 14 16 20
5.04 4.80 4.57 4.40 4.07
5.125 6.528 8.061 9.619 13.094
1.345 1.488 1.599 1.705 1.828
262 228 198 177 140
24 28 32 38
3.91 3.75 3.66 3.48
16.424 20.037 23.509 29.429
1.992 2.085 2.214 2.230
121 104.1 94.2 75.8
10-3
Xj x 10
[Gly-] x 103 0.3 1.0 2.0 3.0 4.0
Xj
1.307 2.076 3.344 4.890 6.761
X1
1023 1076 1172 1297 1440
x2
X
96 106 115
6.0 8.0 lOoO 12.0 15.0
11.56 17.91 25.61 35.16 53.03
1760 2114 2461 2847 3469
130 142 148 l66
3-3 4.0 3.8 3.8 3.7
18.0 22.0 26.0 30.0 34.0
75.92 115.3 166.3 231.0 309.2
4162 5195 6358 7667 9065
177 192 207 223 238
3.7 3.7 3-7 3.8 3.8
86 Erbium Glycolate
CA x 103
[H+] x 104
[Gly-] x 103
îï
n/[Gly~]
1 2 4 6 8
4.4? 5.73 6.18 6.04 5.71
0.337 0.677 1.489 2.430 3.539
0.278 0.474 0.782 1.044 1.258
825 700 525 430 355
10 12 14 16 20
5.36 5.01 4.80 4.57 4.26
4.803 6.243 7.661 9.251 12.498
1.433 1.565 1.705 1.802 1.982
298 251 223 195 159
24 28 32 38
4.00 3.91 3.75 3.61
16.048 19.206 22.939 28.360
2.088 2.296
130 120 102.7 88.1
X2 x 10-3
Xj x 10
[Gly-] x 103 0.3 1.0 2.0 3.0 4.0 6.0 8.0 10.0 12.0 15.0 18.0 22.0 26.0 3O.O 34.0
Xj
1.313 2.136 3.636 5.558 7.966 14.25 22.72 33.73 47.65 74.79 110.7 173.3 257.9 366.5 501.9
X1
.
ïttî
1043 1136 13181519 1742
110 126 154 170 183
2208 2715 3273 3888 4919
200 213 226 240 261
6094 7832 9881 12183 14732
282 310 341 372 404
7.3 7.1 7.1 7.1 7.1 7.0 7.2 7.2
87 Thulium Glycolate
CA x 103
[H+] x 104
[Gly"] x 103
EL
11/[Gly'
1 2 4 6 8
4.69 5.98 6.64 6.38 5-98
0.308 0.638 1.367 2.286 3.367
0.290 0.490 0.824 1.088 1.308
942 768 603 476 388
10 12 14 16 20
5.57 5.24 4.95 4.72 4.37
4.611 5.957 7.421 8.948 12.177
1.487 1.642 1.769 1.881 2.065
322 276 238 210 170
24 28 32 38
4.09 3.91 3.78 3.61
15.689 19.206 22.754 28.360
2.180 2.296 2.406 2.498
139 120 105.7 88.1
X2 x 10"3
X3 x 10
[Gly"] x 103 0.3 1.0 2.0 3.0 4.0
Xj
1.363 2.338 4.167 6.555 9.551
6.0 8.0 10.0 12.0 15.0
17.61 28.83 43.79 62.72 100.2
18.0 22.0 26.0 30.0 34.0
149.2 235.2 350.9 500.4 692.5
%1 1210 1338 1584 1852 2138
250 203 225 239 251
9.5
2768 3469 4279
272 314 314 334 365
9.8 10.1 10.1 10.1 10.1
8233 10645 13458 16647 20338
394 432 474 517 565
10.1 10.0 10.0 10.1 10.4
m
88 Ytterbium Glycolate
cA x
IQ3
l
2 4 6 8
10 12 14 16 20
£H+]
x
IO4
4.93 6.30 6.79
6.51 6.11
5.60 5.27
4.99 4.74 4.40
24 "28
4.11
32 38
3.61
[Gly-] x lO 3 0.3 1.0 2.0 3.0 4.0
3,92 3.76
Xj
1.423 2.589 4.696 7.423 10.89
6.0 8.0 10.0 12.0 I5.O
20.30 33.46 51.02 73.72 118.3
18.0 22.0 26.0 30.0 34.0
177.5 281.6 420.3 599.5 829.5
[Gly - ] x
0.280 0.591 1.330 2.277 3.334 4.585 5.922 7.359 8.909
12.092
15.611 19.157 22.877 28.360
X1
10 3
n 0.303
0.510 0.837
1.094 1.319
1.494 1.651 1.785
11/[Gly'
1082 863 629
480
396
326 279 243
1.891 2.087
212 178
2.200
141 121 103.8
2.309 2.375 2.500
Xg x 10-3
88.2
y- y i n"6
1410 1589 1848 2141 2473
200 239 249 264 281
3217 4058 5002 6060 7820
311 339 365 393 431
12.7 13.0 13.0 13.2 13.1
470 518. 568 620 677
13.1 12.9 12.8
9806 12755 16127 19950 24368
12.8 13.0
89 Lutetium Glycolate
n/[Gly'
[Gly-] x 103
n
4.97 6.59 7.15 6.85 6.32
0.275 0.553 1.250 2.110 3.171
0.306 0.527 0.866 1.144 1.365
1113 953 693 542 430
10 12 14 16 20
5.87 5.47 5.13 4.88 4.51
4.362 5.695 7.151 8.646 11.790
1.556 I.713 1.841 1.961 2.165
357 301 257 227 184
24 28 32 38
4.20 3.98 3-81 3.66
15.271 18.864 22.573 27.968
2.287 2.384 2.452 2.600
150 126 108.6 93.0
CA x 103 1 2 4 6 8 '
-] x 103 0.3 1.0 2.0 3.0 4.0
[H+] x 104
Xj
1.433 2.718 5.177 8.483 12.71
X1
X2 x lO"3
X. x :
1443 1718 2089 2494 2928
318 345 365 382
18
6.0 8.0 10.0 12.0 15.0
24.46 41.26 64.15 94.41 155.2
3910 5033 6315 7784 10280
418 454 492 532 592
20 19 19 19 19
18.0 22.0 26.0
236.5 382.4 581.1
13083 17336 22312
649 724 804
19 19 19
\-6
90
Yttrium Glycolate
cA x io3
[H+] x 104
[Gly-] x 103
n
n/[Gly"
l 2 4 6 8
3.72 &.65 5.12 4.99 4.80
0.452 0.885 1.826 2.954 4.199
0.230 0.395 0.672 0.886 1.070
509 446 368 300 255
10 12 14 16 20
4.57 4.43 4.26 4.09 3.87
5.596 6.992 8.540 10.216 13.582
1.215 1.363 1.472 1.548 1.701
217 195 172 152 125
24 28 32 38
3.70 3.52 3.41 3.29
17.116 21.050 24.882 30.686
1.814 1.826 1.865 1.911
106.0 86.7 75.0 62.3
[Gly-] x 103
xJ
X1
-3 %2 % :10
0.3 1.0 2.0 3.0 4.0
1.184 1.664 2.467 3.420 4.511
613 664 734 807 878
54 62 66 67
6.0 8.0 10.0 12.0 15.0
7.168 10.54 14.67 19.61 28.56
1028 1193 1367 1551 1837
70 73 76 78 82
2132 2532 2944 3367 3791
85 87 90 92 94
18.0 22.0 26.0 30.0 34.0
39.38 56.71 77.55 102.0 129.9
X3 x 10-5
4.7 5.6 5-5 5-8
1:1
91
1
2 4 6 8
H O -Pr
X
i )
C A x 10 3
i—i
Lanthanum Lactate
2.96 3.61
[Lac - ] x 10 3
n
0.561 1.071 2.216 3.442 4.799
0.184 0.323 0.542 0.736 0.894
302 245 214 186
6.283 7.809
1.020 1.136
145
14.377
1.414
136 125 98.4
n/[Lac'
328
20
3.85 3.85 3.75 3.62 3.52 3.47 3.39 3.23
24
3.13
17.860
1.613
90.3
32 38
2.96 2.87
25.278 31.011
1.755
69.4
1.819
10 12 14 16
28
[Lac™] x 103
0.3 2.0 3.0
1.0
9.286 10.903
Xj
1.122 1.415
1.869
2.371
4.0
2.929
6.0 8.0 10.0 12.0
4.217 5.795 7.619 9.768
15.0
13.60
18.0 22.0 26.0 30.0 34.0
18.15
25.39 33.89 43.83
55.04
xl
-
407 415
1.265 1.359
Xg x 10-3
435 457
15.0 17.5 14.0
536
22.7
482 599
662
731
24.9 26.2 27.6
29.3
953
30.7 32.2 33.3 35.4 35.0
1589
58.7
Xo x 10-5
20.5
840
1109 1265 1461
162
3.6 4.2 4.7 4.9 4.8 4.6 4.4 4.5
92 Cerium Lactate
CA X io3
[H+] x 104
[Lac"] x 103
n
0.433
0.208
236 212
1 2 4 6 8
4.13 4.61 4.69 4.54
4.25
4.301
0.850 1.015
10 12 14 16
4.11 3.91
5.604
1.190
24
3.26 3.16 3.06 2.95
20
28 32 38
[Lac"] x 103
3.78 3.61 3.42
xj
0.3 1.0
1.175
2.0 3.0 4.0
2.302 3.124
6.0 8.0 10.0 12.0 15.0
18.0 22.0 26.0 30.0
34.0
0.875 1.862 2.971
185
10.335 13.682
167 145 122
17.261
1.769 1.885
102.5 90.6
1.940 2.008
66.3
20.802 24.575
30.300
X1
583 651
4.074
708 769
6.375 9.276
896
24.46
33.64 48.67 67.22
89.54
115.6
336 286
1.436 1.503 I.665
605
16.93
480 415
1.312
7.110 8.611
1.605
12.78
0.363 0.625
n/[Lac"
1035 1178 1328 1564 1813 2167
2547 2951 3371
X2 x 10-^
78.9
Xj x 10-5
43.3 35.0 40.5
46.0
50.0 54.3 58.1 60.8 63.2 66.3 69.1 72.6 76.0 79.4
82.4
8.5 8.9 8.9 8.8 8.8 8.6
8.9
93
[H+] x 104
3.64
1 2 4 6 8
4.43 4.76 4.57
10 12 14 16 20
4.23 4.00 3.78 3.65 3.47
24 28 32
3.23 3.16
33
[Lac-] x 10 3 0.3 1.0
2.0 3.0 4.0 6.0 8.0
10.0
12.0
15.0 18.0
22.0 26.0 30.0 34.0
4.37
3.01
2.91
Xj 1.217 1.772 2.695 3.786 5.062
8.282 12.44 17.47 23.35 33.93 46.98 68.94
95.94
127.6 173.0
X
CA x 103
1—1 £ 0 1 11
Praseodymium Lactate
0.407 0.819
1.725 2.826 4.032 5.275 6.757 8.397 9.981 13.196
17.080 20.413 24.538 30.193
yvl
723 772 848 929
1016
'.
103
n
1.101
587 496 . 399 321 273
1.287
244
0.239 0.406 0.688
0.908. 1.411
178
1.811 1.976 1.941
106 96.8 78.1
2.025
X2 x 10~3
67.1
Xc x 10
67.0 71.5 74.7 77.8 84.8
2195
96.5 99.3
2554
102.7
3652
135
60.0
90.6 94.2
4220 4765
209 160
1.495 ' 1.596 1.788
1214 1430 1647 1863
3088
n/[Lac
108.3 113.3 117.2 119.4
1.3 1.4 1.4 1.3 1.3 1.3 1.3 1.2
94
Neodymiura L a c t a t e
CA x 103
[H+] x 104
[Lac™] x 103
n
n/[Lac
1 2 4 6 8
3.72 4.65 4.95 4.74 4.51
0.393 0.769 1.650 2.716 3.900
0.245 0.424 0.711 0.940 1.138
623 551 431 346 '292
10 12 14 16 20
4.26 4.03 3.85 3.72 3.50
5.236 6.705 8.240 9.789 13.081
1.298 1.425 1.536 1.646 1.817
248 213 186 168 139
24 28 32 38
3.28 3.16 3.01 2.96
16.816 20.413 24.538 29.679
1.878 1.976 1.941 2.154
112 96.8 79.1 72.6
x 10™3
X. x 10
~] x 103
h
X1
0.3 1.0 2.0 3.0 4.0
1.227 1.833 2.873 4.124 5.611
757 833 937 1041 1153
6.0 8.0 10.0 12.0 15.0
9.305 14.10 20.15 27.51 41.28
1384 1638 1915 2209 2685
" 107 112 . 118 122 130
2.3 2.4 2.5 2.4 2.5
3191 3908 4669 5477 6297
136 144 151 158 163
2.4 2.3 2.2
18.0 22.0 26.0 30.0 34.0
58.43 86.98 122.4 165.3 215.1
93.0 98.5 100 103
2.8 2.3 2.5
95
Samarium Lactate
CA x 103
[H+] x 104
[Lac""] x 103
n
n/[Lac
1 2 4 6 8
3.78 4.80 5.19 4.95 4.65
0.383 0.738 1.563 2.591 3.776
0.249 O.436 0.739 0.976 1.172
650 591 473 377 310
10 12 14 16 20
4.47 4.16 3.87 3.75 3.50
4.980 6.488 8.196 9.708 13.081
1.367 1.482 1.548 1.667 1.817
274 228 189 172 139
24 28 32 38
3.28 3.13 3.01 2.89
16.816 20.610 24.538 30.404
1.878 1.926 1.941 1.971
112 93.4 79.1 64.8
;-J X 103 0.3 1.0 2.0 3.0 4.0
Xj
1.230 1.376 3.035 4.449 6.145
%1
X2 x 10
\-6
767 876 1018 1150 1286
129 130 132
3.0 2.3 2.3
6.0 8.0 10.0 12.0 15.0
10.49 16.08 23.OI 31.51 47.50
1582 1885 2201 2543 3100
137 141 144 149 156
2.3 2.3 2.1
18.0 22.0 26.0 30.0 34.0
"67.41 99.15 136.3 178.9 228.3
3689 4461 5204 5930 6685
163 168 171 172 174
2.2
2.2 2.2
96 Europium Lactate
CA x 103
[H+] x 104
[Lac"] x
3.94 4.99
0.358 0.701
5.24 5.15 4.?6
1.546 2.482
10 12 14 16 20
4.4? 4.23 4.00
4.980
24 28 32 38
1 2 4
6 8
[Lac-] x 10^ 0.3 1.0 2.0 3.0 4.0
5
n/[Lac
O.259 0.450 0.746
642
723 483
1.008 1.198
406
325
1.367 1.512
274
1.620 1.707
204
3.81 3.55
6.377 7.922 9.552
12.894
1.865
145
3.33 3.18
16.560 20.283 24.293
1.943 2.009 2.003 2.154
117
10-3
X. x 10'
3.04 2.96
Xj
1.275 2.026
3.329 6.970
4.974
6.0 8.0 10.0 12.0 15-0
12.10
18.0 22.0 26.0 30.0
81.10 121.8 172.3
34.0
3.683
LO?
18.95 27.56 37.93 57.07
232.3 300.5
29.679
X1
917 1026 1165
1325 1493 1850
2244
2656
3098 3738
4450 5491 6588 . 7710
8809
x2 x
237
179 99.0
82.5
72.6
138 145 151 160 1.69 177 184 190 198
209
219
227 233
2.4 2.7 2.8
2.7 2.7 2.7
2.7
2.6
97
Gadolinium Lactate
CA x 103
[H+j x 104
[Lac™] x 103
0.372
0.253
680
0.761 1.605
0.427
561 452 366 296
1 2 4 6 8
3.85 4.69 5-07 4.88 4.54
10 12 14 16
4.30
2.632 3.873 5.186
3.64
6.603 8.240 10.009
3.57 3.26 3.13 2.96 2.89
16.920 20.610 24.956 30.404
20
24
28
32 38
[Lac"] x ID3 0.3 1.0 2.0 3.0 4.0
4.09 3.85
Xj
1.246 I.885
3.005 4.374 5.996
6.0 8.0 10.0 12.0 15.0
10.03 15.26 21.62 29.34
18.0
60.57 87.85 120.7
22.0 26.0 30.0 34.0
43.48
159.3 203.5
n/[Lac'
n
13.196
X1
0.726
0.964 1.145
1.536 1.589 1.788
253 220 186 159 135
1.852
109
1.311 1.452
1.926
1.835 1.971
x2 x 10-3
•
93.4 73.5 64.8
Xo x 10
820 885 1003 1125
1249
1505 1783
2062 2362 2832
3309 4604 5277 5956 3948
112 115 117
1.7
121 124 128
1.8 1.8 1.8
132 137 141 144 147 150
152
1.8
1.8 1.8
1.7
98 Terbium Lactate
CA x 105
[H+] x 10^
[Lac-] x 10^
n
n/CLac'
1 2 4 6 8
3.78 4.95 5.41 5.12 4.80
0.383 0.708 1.490 2.497 3.650
0.249 0,44? 0.763 1.004 1.208
650 631 512 402 331
10 12 14 16 20
4.57 4.23 4.00 3.81 3.52
4.865 6.377 7.922 9.552 13.006
1.398 1.512 1.620 1.707 1.837
287 237 204 179 l4l
24 28 32 38
3.28 3.16 3.03 2.91
16.816 20.413 24.374 30.193
1.878 1.976 . 1.982 2.025
112 96.8 81.3 67.0
[Lac"] x lo3 0.3 1.0 2.0 3.0 4.0
xj
1.250 1.941 3.233 4.839 6.798
X1
X2 x 10
833 941 1117 1280 1450
164 163 165
6.0 8.0 10.0 12.0 15.0
11.91 18.62 27.18 37.61 56.76
1818 2203 2618 3051 3717
171 177 183 188 195
18.0 22.0 26.0 30.0 34.0
80.70 120.1 167.8 224.3 287.6
4428 5414 6415 7443 8429
202 210 216 222 225
Xj x 10-6
2.1 2.3 2.3 2.3 2.3 2.3
99 Dysprosium Lactate
CA x 103
[H+] x 104
[Lac-] x 10^
n
n/[Lac'
1 2 4 6 8
4.23 5.41 5.71 5.57 5.07
0.318 0.628 1.399 2.277 3.444
0.276 0.478 0.793 1.070 1.266
868 761 567 470 368
10 12 14 16 20
4.72 4.37 4.09 3-91 3.61
4.703 6.165 7.743 9.302 12.676
1.442 1.568 1.667 1.772 1.921
307 254 215 190 152
24 28 32 38
3.41 3.21 3.10 2.94
16.166 20.091 23.819 29.883
2.044 2.058 2.123 2.103
126 102.4 89.4 70.4
X% x 10-3
x 10'
[Lac"] x 103 0.3 1.0 2.0 3.0 4.0 6.0 8.0 10.0 12.0 15.0 18.0 22.0 26.0 3O.O 34.0
XJ
1.326 2.266 3.970 6.204 8.976 16.22 25.83 38.10 53.58 82.78 119.7 181.2 257.5 347.6 449.8
X1
1087 1266 1485 1735 1994
233 238 244
4.0 4.3 4.7
2537 3104 3710 4882 5519
253 261 269 280 300
4.7 4.5 4.4 4.6 5.0
6594 8191 9865 11553 13200
310 326 340 3% 358
4.7 4.6
100
Holmiura Lactate
CA x 103 1 2 4 6 8 10 12 14 16
20
24
28
32 38
[Lac-] x 103 0.3 1.0 2.0
3.0
4.0 6.0
8.0
10.0 12.0
15.0 18.0 22.0 26.0 30.0 34.0
[H+] x 104 4.26
5.50 6.04 5.85 ,5.27 4.84 4.51
4.26
4.00
3.70 3.44
3.23 3.13 2.96
Xj
1.329 2.295
[Lac"] x 103
n
0.314
0.278 0.484 0.824 1.107 1.306
885 788 629 513 395
1.476 1.621
322 272 236
0.614 1.310 2.157
3.304 4.581 5.967 7.424 9.087 12.362 16.023 19.965 23.588
29.679
%1 1097
1.751 1.828 2.002
162
2.080 2.090
130 104.7
2.154
92.5 72.6
2.181
Xg x 10
1295 1596 1898 2203
245 273 283 288
18.16
2860
29.62
3578 4351 5188
302 316 330 345 367 386
4.192 6.694
9.812
44.51
63.26 99.25
144.8
220.6
314=8
429.0 562.5
6550
7989 9982 12069 14267 16515
n/[Lac'
406 424 441 455
201
Xo x 10 - 6
2:§
& 6.8 6.9
7.0 6.4 6.5
101
Erbium Lactate
X 10 3
[H+] x 104
1 2 4 6 8
4.61
10 12 14 16
5.19 4.84 4.47 4.23
24 28 32 38
3.93 3.58 3.33 3.21 3.05
5-98 6.43 6.23 5.62
20
[Lac-] x 103 0.3 1.0 2.0
3.0
4.0 6.0 8.0 10.0 12.0
15.0 18.0
22.0 26.0 30.0
34.0
•
XJ
1.467 2.784
5.353 13.47 8.883
26.37 44.76 70.02 103.7 170.7 • 258.O
' 407.9 6o4.5
852.2 1157
[Lac"] x 103
n
0.272 0.546 1.216 2.011 3.084
0.297 0.513
4.256
5.544 7.065 8.580 11.625
15.387 19.359 22.994 28.797
X1
0.857
• 1092 940 705
1.370
444
1.566 1.735
368 313 261 229 189
1.153 .
1.846
1.961
2.192
2.243 2.244
2.332 2.377
X2 x 10 ™3
1557 1784 2177 2628
323
3118
415
4228
461 501 544
5470 6902 8558 11313 14278 18495 23250
28373 . 34000
n/[Lac'
573
146 116 101.4
82.5
X. x 10™6
324 359 389
592 657 712 .
774 838
897 957
14.3 15-8
16.2 16.1 16.1
102
Thulium Lactate
CA x 103
[K+] x 104
[Lac"] x 103
n
0.307 0.530
1218 1041
n/[Lac"
1 2
4.80 6.28
0.252 0.509
4
6.96
1.106
1.860 2.853
1.202 1.438
0.898
812
10
5.50
6 8
6.68 6.04
646 504
12 14 16 20
5.07 4.72 4.37 3.91
4.003
5.282 6.678 8.298 11.685
1.637
409
24 28
3.62 3.39
2.287 2.332
150 123
32 38
3.23 3.03
15.215 19.012 22.851
2.368
104
[Lac-] x
0.3 1.0
2.0 3.0 4.0
6.0 8.0 10.0 12.0 15.0 18.0
22.0 26.0 30.0 34.0
10 3
XJ
1.489 2.959 6.075 10.51 16.85 33.65 59.10 93.94 139.4 229.2 347.4 554.1 820.8 1153 1553
1.806 1.949 2.035 2.177
2.329
28.988
X1
1630 1959 2538 3170 3963 5442 7263 9294 11533 15213 19244 25141 31531
38400 45647
%2 x
10-3
342 292 245 186
80.3
Xj x 10"6
409 494 540 603 649 714 774 832
911
983 1072 1153 1228 1297
25.5 26.4 26.8 26.7 26.3
103
Ytterbium Lactate
CA x 103
[H+] x 104
5.07
1 2 4 6 8
6.64
10 12 14 16
[Lac-] x 103
n
xi/LLi
0.227 0.469 1.033
0.320
1410 1171 896 721
0.549 0.926 1.246 1.479
7.36 7.13 6.32
1.728
5.73 5.24 K.84
3.833 5.103 6.507 8.182
I.685
4.43
2.716
1.855 1.994 2.065
545 440 364 306
252
20
4.00
11.417
2.256
197
24
3.70 3.41 3.28 3.11
14.881 18.899 22.499 28.236
2.372 2.361
159 125
28
32 38
:"] X
0.3 1.0 2.0 3.0 4.0 6.0 8.0 10.0 12.0 15.0
18.0 22.0 26.0 30.0
10 3
XJ
1.559 3.301 7.129 12.74 20.83 42.68 75.92 121.4 181. 5 305.4 472.4 763.4 1147 1641
X1
I863
2301 3065 3913 4958
6847 9365 12040 15042 20290 26189 34655 44077 54667
2.457 2.519
%2 x IO-3
109
89
x
543 601 683
738 815
875 958 1034 1112
1239 1361
1498
1630 1766
39 36 37 37 38 39 39 38 37 37
104
CA x 103
[H+] x 104
[Lac"] x 103
n
1—l
Lutetium Lactate
1 2 4 6 8
5.24 7.08 7.78 7.28 6.64
0.212 0.425 0.965 1.687 2.574
0.328 0.571 0.953 1.260 1.523
1547 1344 988 747 592
10 12 14 16 20
5.98 5.41 4.88 4.4? 4.06
3.663 4.935 6.451 8.107 11.245
1.734 1.902 2.009 2.085 2.290
473 385 311 257 204
24
3.72
14.799
2.393
162
[Lac-] x 103 0.3 1.0 2.0 3.0 4.0 6.0 8.0 10.0 12.0 15.0
xJ
1.612 3.685 8.220 I5.O8 24.64 53.02 95.08 153.9 233.6 395.6
xl
Xg x 10"6
2040 2685 3610 4693 5910
0.550 0.810 0.868 0.939 1.009
8670 11760 15390 19383 26310
1.133 1,236 1.352 1.459 1.629
Xj x 10"6
50
IS 62
62 60 59 58 58
105 Yttrium Lactate
CA
X
10^
[H+] x 104
8
4.26 5.43 5.89 5.75 5-32
10 12 14 16
4.65 4.40 4.13
1 2 4 6
20
24 28 32 38
[Lac-J x 103 0.3 1.0 2.0 3.0 4.0 6.0 8.0 10.0 12.0 15.0 18.0 22.0 26.0 30.0 34.0
4.95 3.78
3.55 3.26 3.12
3.40
XJ
1.330 2.255
4.012
6.339 9.287 17.33 28.59 43.39
62.10 98.66
147.0 233.0
350.0 495.7
677.4
[Lac-] x 103
0.318 0.633 1.367 2.227 3.313 4.532 5.854 7.273 8.907 12.251 15.719
19.199 22.930 28.508
X1
1100 1255 1506 1780 2072
11
0.277 0.478
0.806
1.087
1.305 1.491
1.653 1.782
n/[Lac 871
755 590 488 394 329 282 246
1.877
211 166
2.159 2.285 2.349 2.451
137
2.032
%2 % 10~3
119
102.4 86.0
Xj x 10
200 215 233 24? 258
9.2 9.5 9.5
2722 3449
280 301 320
6511
338 365
8111 10545 13423 16490
432 476
9.4
515 555
9.7 9.7
4239 5092
19894
393
9.4 9-3
9.3 9.7