Abstract
Welche Radien r + und r- man den positiven Alkali- und negativen Halogenionen (genauer ihren Wirkungssphären) zuschreiben muß, ist aus der folgenden Zusammenstellung der empirischen Gitterkonstanten δ (doppelte Entfernung zweier verschieden geladener Nachbar-ionen) abzuleiten, da ja bei Berührung der Ionen δ/2 einfach gleich der Radiensumme r+ + r- anzunehmen ist (Tabelle 1). Durch die Gleichungen 2r++2r_=(5 mit empirisch bekannten rechten Seiten sind die Einzelwerte r+ und r_ freilich nur bis auf einen unbestimmten konstanten Summanden festgelegt. Letzteren findet man aber mit Hilfe der Gitterkonstante von LiJ. Da nämlich das Li-Ion mit seinen zwei Elektronen keinen Würfel bilden kann, sondern nur eine einquantige Ringsphäre besitzt, ist es jedenfalls so
viel kleiner als das Jodion, daß beim Gitteraufbau die um δ/√2 entfernten Jodpartikel eher zur Berührung kommen als je ein Jod- mit einem benachbarten Lithiumion. Daher ist im LiJ und eventuell auch in den anderen Li-Salzen die obige Radienbeziehung durch r.√2 = δ/2 zu ersetzen, wodurch der unbestimmte Summand festgelegt ist. Dafür bleibt aber der viel kleinere Radius des Li-Ions ganz unbestimmt.
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References
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Bijvoet, J.M., Burgers, W.G., Hägg, G. (1972). Atomic (ionic) Radii and Building Principles. In: Bijvoet, J.M., Burgers, W.G., Hägg, G. (eds) Early Papers on Diffraction of X-rays by Crystals. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6878-0_2
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