Table 2. Bond-length statistics for the five common alkaline-earth-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 |
---|---|---|---|---|---|---|---|---|---|---|
Be2+ | 3 | 24 | 8 | 1.550 | 0.018 | 0.081 | 1.587 | 1.506 | – | – |
4 | 644 | 161 | 1.637 | 0.040 | 0.346 | 1.887 | 1.541 | 1.988 | 8.529 | |
Total | 668 | 169 | ||||||||
Mg2+ | 4 | 48 | 12 | 1.939 | 0.020 | 0.068 | 1.977 | 1.909 | – | – |
5 | 120 | 24 | 2.044 | 0.066 | 0.342 | 2.249 | 1.907 | 0.643 | 0.271 | |
6 | 2556 | 426 | 2.089 | 0.059 | 0.562 | 2.497 | 1.935 | 1.976 | 8.608 | |
8 | 56 | 7 | 2.255 | 0.122 | 0.568 | 2.582 | 2.014 | – | – | |
Total | 2780 | 469 | ||||||||
Ca2+ | 6 | 1266 | 211 | 2.371 | 0.069 | 0.637 | 2.847 | 2.210 | 1.636 | 5.908 |
7 | 2009 | 287 | 2.448 | 0.133 | 1.016 | 3.140 | 2.124 | 1.828 | 4.607 | |
8 | 4152 | 519 | 2.498 | 0.151 | 1.027 | 3.176 | 2.149 | 1.430 | 2.739 | |
9 | 1035 | 115 | 2.559 | 0.196 | 0.956 | 3.197 | 2.241 | 1.247 | 0.939 | |
10 | 160 | 16 | 2.632 | 0.215 | 0.902 | 3.122 | 2.220 | 0.478 | −0.400 | |
11 | 77 | 7 | 2.614 | 0.177 | 0.686 | 2.965 | 2.279 | – | – | |
12 | 156 | 13 | 2.668 | 0.175 | 0.791 | 3.117 | 2.326 | 0.724 | 0.379 | |
Total | 8855 | 1168 | ||||||||
Sr2+ | 6 | 78 | 13 | 2.477 | 0.050 | 0.244 | 2.591 | 2.347 | – | – |
7 | 266 | 38 | 2.638 | 0.151 | 0.937 | 3.306 | 2.369 | 1.553 | 3.693 | |
8 | 904 | 113 | 2.656 | 0.163 | 1.019 | 3.368 | 2.349 | 1.711 | 3.740 | |
9 | 909 | 101 | 2.704 | 0.178 | 1.088 | 3.397 | 2.309 | 1.545 | 3.094 | |
10 | 500 | 50 | 2.769 | 0.213 | 1.033 | 3.399 | 2.366 | 0.962 | 0.456 | |
11 | 88 | 8 | 2.798 | 0.198 | 0.837 | 3.319 | 2.482 | – | – | |
12 | 636 | 53 | 2.825 | 0.181 | 0.953 | 3.358 | 2.405 | 0.744 | 0.613 | |
Total | 3381 | 376 | ||||||||
Ba2+ | 6 | 126 | 21 | 2.689 | 0.094 | 0.400 | 2.866 | 2.466 | −0.404 | −0.665 |
7 | 147 | 21 | 2.792 | 0.135 | 0.855 | 3.369 | 2.514 | 1.133 | 2.916 | |
8 | 704 | 88 | 2.816 | 0.129 | 0.846 | 3.376 | 2.530 | 0.962 | 1.273 | |
9 | 1278 | 142 | 2.860 | 0.154 | 1.074 | 3.554 | 2.480 | 1.000 | 1.330 | |
10 | 1930 | 193 | 2.915 | 0.155 | 1.014 | 3.498 | 2.484 | 0.783 | 1.072 | |
11 | 902 | 82 | 2.944 | 0.181 | 1.023 | 3.612 | 2.589 | 0.667 | 0.074 | |
12 | 3624 | 302 | 2.965 | 0.152 | 0.988 | 3.624 | 2.636 | 1.239 | 1.951 | |
13 | 78 | 6 | 3.010 | 0.206 | 0.922 | 3.463 | 2.541 | – | – | |
14 | 14 | 1 | 3.080 | 0.242 | 0.879 | 3.553 | 2.674 | – | – | |
Total | 8813 | 856 |