Table 2. Calculated ionic radii for the alkaline earth metal ions a using the mean bond distances in the structure surveys, Table S2 (ESI), using r0 = 1.34 Å, ref. 47, as the radius of coordinated oxygen; the number of crystal structures used to obtain these ionic radii are listed within subscript square brackets with the radii proposed by Shannon, ref. 34, given in italics.
Ionic radius/Å | ||||||||
Ion | CN = 6 |
CN = 7 |
CN = 8 |
CN = 9 |
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Mg2+ | 0.724[368] | 0.720 | n/a | 0.89 | ||||
Ca2+ | 0.973[41] | 1.00 | 1.064[22] | 1.06 | 1.130[13] | 1.12 | 1.17[0] b | 1.18 |
Sr2+ | 1.128[7] | 1.18 | 1.224[2] | 1.21 | 1.274[13] | 1.26 | 1.332[2] | 1.31 |
Ba2+ | 1.292[4] | 1.35 | 1.38[0] c | 1.38 | 1.430[3] | 1.42 | 1.489[7] | 1.47 |
aThe radius of the four-coordinated beryllium(ii) ion is rBe(II),CN4 = 0.273[13] and 0.27 Å; the radii of the four- and five-coordinated magnesium ions are rMg(II),CN4 = 0.567[3] and 0.57 Å, rMg(II),CN5 = 0.664[2] and 0.66 Å; the radius of the ten-coordinated barium(ii) ion is rBa(II),CN10 = 1.511[1] and 1.52 Å; no hydrate or solvate data is available for the radium(ii) ion, but Shannon lists rRa(II),CN8 = 1.48 Å.
bEstimated radius derived from a second-degree polynomial with a slope (rCa(II),CN9(est) = –0.0125 CN2 + 0.2535 CN – 0.098) comparable to that of the strontium (6 ≤ CN ≤ 9) and barium ions (CN = 6, 8, 9).
cEstimated radius derived from a second-degree polynomial with a slope (rBa(II),CN7(est) = –0.0097 CN2 + 0.2043 CN + 0.414) comparable to that of the calcium (6 ≤ CN ≤ 8) and strontium (6 ≤ CN ≤ 9) ions.