Table 4. Mean bond-length statistics for the five common alkali-metal ions.
Ion | Coordination number | Number of coordination polyhedra | Grand mean bond-length (Å) | Standard deviation (Å) | Mean bond-length range (Å) | Maximum mean bond-length (Å) | Minimum mean bond-length (Å) | Skewness | Kurtosis |
---|---|---|---|---|---|---|---|---|---|
Li+ | 3 | 4 | 1.913 | 0.032 | 0.070 | 1.958 | 1.888 | – | – |
4 | 419 | 1.972 | 0.039 | 0.287 | 2.162 | 1.875 | 0.803 | 2.171 | |
5 | 91 | 2.108 | 0.050 | 0.214 | 2.226 | 2.012 | – | – | |
6 | 173 | 2.178 | 0.052 | 0.311 | 2.360 | 2.048 | 0.886 | 1.192 | |
7 | 2 | 2.331 | 0.008 | 0.012 | 2.337 | 2.326 | – | – | |
8 | 1 | 2.513 | – | – | 2.513 | 2.513 | – | – | |
Na+ | 3 | 7 | 2.307 | 0.045 | 0.112 | 2.360 | 2.248 | – | – |
4 | 131 | 2.359 | 0.049 | 0.285 | 2.537 | 2.252 | 0.784 | 0.937 | |
5 | 142 | 2.413 | 0.049 | 0.269 | 2.561 | 2.292 | 0.209 | −0.034 | |
6 | 920 | 2.441 | 0.056 | 0.466 | 2.682 | 2.216 | 0.295 | 2.367 | |
7 | 193 | 2.541 | 0.056 | 0.313 | 2.718 | 2.404 | 0.423 | 0.021 | |
8 | 201 | 2.599 | 0.071 | 0.458 | 2.880 | 2.422 | 0.574 | 1.160 | |
9 | 50 | 2.686 | 0.065 | 0.382 | 2.936 | 2.553 | – | – | |
10 | 17 | 2.741 | 0.054 | 0.183 | 2.830 | 2.647 | – | – | |
12 | 21 | 2.795 | 0.074 | 0.254 | 2.940 | 2.686 | – | – | |
K+ | 4 | 24 | 2.708 | 0.056 | 0.234 | 2.852 | 2.618 | – | – |
5 | 59 | 2.796 | 0.078 | 0.438 | 3.084 | 2.646 | – | – | |
6 | 119 | 2.828 | 0.103 | 0.652 | 3.099 | 2.447 | 0.022 | 1.007 | |
7 | 67 | 2.861 | 0.064 | 0.295 | 3.009 | 2.715 | – | – | |
8 | 284 | 2.894 | 0.053 | 0.299 | 3.081 | 2.781 | 0.619 | 0.462 | |
9 | 308 | 2.955 | 0.061 | 0.503 | 3.174 | 2.671 | −0.003 | 2.167 | |
10 | 243 | 3.013 | 0.065 | 0.382 | 3.209 | 2.827 | 0.384 | 0.493 | |
11 | 87 | 3.089 | 0.066 | 0.306 | 3.242 | 2.936 | – | – | |
12 | 194 | 3.095 | 0.092 | 0.543 | 3.337 | 2.794 | −0.708 | 1.232 | |
13 | 35 | 3.149 | 0.094 | 0.327 | 3.293 | 2.966 | – | – | |
14 | 24 | 3.239 | 0.068 | 0.288 | 3.374 | 3.085 | – | – | |
15 | 35 | 3.182 | 0.064 | 0.246 | 3.332 | 3.086 | – | – | |
Rb+ | 4 | 12 | 2.776 | 0.634 | 2.252 | 3.018 | 0.765 | – | – |
5 | 3 | 2.864 | 0.040 | 0.078 | 2.899 | 2.821 | – | – | |
6 | 14 | 2.989 | 0.084 | 0.286 | 3.122 | 2.836 | – | – | |
7 | 20 | 3.002 | 0.083 | 0.371 | 3.213 | 2.842 | – | – | |
8 | 60 | 3.033 | 0.058 | 0.260 | 3.182 | 2.922 | – | – | |
9 | 75 | 3.079 | 0.064 | 0.321 | 3.287 | 2.966 | – | – | |
10 | 108 | 3.142 | 0.064 | 0.302 | 3.279 | 2.977 | −0.262 | −0.405 | |
11 | 44 | 3.188 | 0.054 | 0.226 | 3.296 | 3.070 | – | – | |
12 | 70 | 3.228 | 0.084 | 0.373 | 3.410 | 3.037 | – | – | |
13 | 19 | 3.293 | 0.042 | 0.138 | 3.350 | 3.212 | – | – | |
14 | 20 | 3.301 | 0.061 | 0.235 | 3.400 | 3.164 | – | – | |
15 | 13 | 3.338 | 0.110 | 0.337 | 3.545 | 3.208 | – | – | |
17 | 1 | 3.456 | – | 0.000 | 3.456 | 3.456 | – | – | |
18 | 5 | 3.478 | 0.078 | 0.217 | 3.582 | 3.364 | – | – | |
Cs+ | 6 | 17 | 3.124 | 0.032 | 0.113 | 3.175 | 3.062 | – | – |
7 | 10 | 3.193 | 0.061 | 0.206 | 3.312 | 3.106 | – | – | |
8 | 25 | 3.244 | 0.064 | 0.216 | 3.359 | 3.143 | – | – | |
9 | 48 | 3.251 | 0.054 | 0.232 | 3.366 | 3.134 | – | – | |
10 | 93 | 3.304 | 0.056 | 0.348 | 3.455 | 3.107 | – | – | |
11 | 68 | 3.333 | 0.054 | 0.261 | 3.479 | 3.218 | – | – | |
12 | 90 | 3.377 | 0.072 | 0.335 | 3.542 | 3.207 | – | – | |
13 | 40 | 3.426 | 0.063 | 0.267 | 3.552 | 3.285 | – | – | |
14 | 51 | 3.444 | 0.064 | 0.229 | 3.539 | 3.310 | – | – | |
15 | 47 | 3.503 | 0.066 | 0.289 | 3.661 | 3.372 | – | – | |
16 | 14 | 3.550 | 0.068 | 0.230 | 3.672 | 3.442 | – | – | |
17 | 4 | 3.530 | 0.029 | 0.062 | 3.549 | 3.487 | – | – | |
18 | 36 | 3.570 | 0.062 | 0.229 | 3.715 | 3.487 | – | – | |
20 | 1 | 3.723 | – | – | 3.723 | 3.723 | – | – |