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. 2016 Aug 1;72(Pt 4):602–625. doi: 10.1107/S2052520616008507

Table 1. Bond-length statistics for the five common alkali-metal ions.

Ion Coordination number Number of bonds Number of coordination polyhedra Mean bond length (Å) Standard deviation (Å) Range (Å) Maximum bond length (Å) Minimum bond length (Å) Skewness Kurtosis
Li+ 3 12 4 1.913 0.040 0.113 1.984 1.871
4 1676 419 1.972 0.075 0.754 2.444 1.690 1.563 6.273
5 455 91 2.108 0.161 0.858 2.673 1.815 1.265 1.362
6 1038 173 2.178 0.137 0.866 2.692 1.826 1.293 1.996
7 14 2 2.331 0.244 0.728 2.658 1.930
8 8 1 2.513 0.000 0.000 2.513 2.513
Total 3203 690  
Na+ 3 21 7 2.307 0.045 0.153 2.367 2.214
  4 524 131 2.359 0.076 0.586 2.775 2.189 0.878 2.032
  5 710 142 2.413 0.108 0.808 2.968 2.160 1.455 3.522
  6 5520 920 2.441 0.112 0.926 3.055 2.129 1.317 3.246
  7 1351 193 2.541 0.180 1.002 3.180 2.178 0.723 −0.020
  8 1608 201 2.599 0.192 1.069 3.211 2.142 0.461 −0.197
  9 450 50 2.686 0.224 1.044 3.204 2.160 0.121 −0.879
  10 170 17 2.741 0.240 0.899 3.156 2.257 −0.063 −1.075
  12 252 21 2.795 0.182 0.950 3.272 2.322 0.053 −0.295
  Total 10606 1682  
K+ 4 96 24 2.708 0.078 0.365 2.892 2.527
5 295 59 2.796 0.162 1.032 3.537 2.505 1.404 3.349
6 714 119 2.828 0.177 1.140 3.587 2.447 1.299 2.268
7 469 67 2.861 0.179 1.030 3.554 2.524 1.269 1.474
8 2272 284 2.894 0.172 1.107 3.644 2.537 1.195 1.642
9 2772 308 2.955 0.214 1.306 3.797 2.491 1.079 0.917
10 2430 243 3.013 0.246 1.248 3.773 2.525 0.839 0.084
11 957 87 3.089 0.290 1.181 3.793 2.612 0.550 −0.763
12 2328 194 3.095 0.264 1.204 3.790 2.586 0.578 −0.535
13 455 35 3.149 0.298 1.290 3.808 2.518 0.364 −0.834
14 336 24 3.239 0.296 1.292 3.771 2.479 0.057 −0.929
15 525 35 3.182 0.265 1.148 3.748 2.600 0.257 −1.164
Total 13649 1479  
Rb+ 4 48 12 2.951 0.160 0.706 3.360 2.654
5 15 3 2.864 0.078 0.236 2.976 2.740
6 84 14 2.989 0.148 0.734 3.488 2.754
7 140 20 3.002 0.186 0.937 3.628 2.691 1.283 1.554
8 480 60 3.033 0.190 1.055 3.711 2.656 1.030 1.236
9 675 75 3.079 0.204 1.172 3.839 2.667 0.980 1.192
10 1080 108 3.146 0.244 1.171 3.890 2.719 0.858 0.081
11 484 44 3.188 0.248 1.211 3.884 2.673 0.725 −0.242
12 840 70 3.228 0.288 1.181 3.896 2.715 0.545 −0.663
13 247 19 3.293 0.314 1.148 3.932 2.784 0.376 −1.163
14 280 20 3.301 0.291 1.151 3.895 2.744 0.332 −0.938
15 195 13 3.338 0.278 1.065 3.945 2.880 0.485 −0.934
17 17 1 3.456 0.336 1.009 3.939 2.930
18 90 5 3.478 0.239 0.695 3.771 3.076
Total 4675 464  
Cs+ 6 102 17 3.124 0.139 0.702 3.568 2.866 0.922 1.040
7 70 10 3.193 0.166 0.858 3.806 2.948
8 200 25 3.244 0.189 1.017 3.911 2.894 0.863 0.708
9 432 48 3.251 0.181 1.052 3.882 2.830 0.656 0.186
10 930 93 3.304 0.208 1.257 3.986 2.729 0.696 0.174
11 748 68 3.333 0.226 1.136 4.023 2.887 0.630 −0.106
12 1080 90 3.377 0.250 1.162 4.072 2.910 0.670 −0.437
13 520 40 3.426 0.276 1.256 4.130 2.874 0.480 −0.571
14 714 51 3.444 0.297 1.242 4.169 2.927 0.528 −0.764
15 705 47 3.503 0.301 1.253 4.157 2.904 0.241 −0.953
16 224 14 3.550 0.321 1.276 4.199 2.923 0.341 −0.870
17 68 4 3.530 0.326 1.069 4.060 2.991
18 648 36 3.570 0.277 1.243 4.195 2.952 −0.010 −0.807
20 20 1 3.723 0.419 0.855 4.065 3.210
Total 6461 544