This paper discusses the effects of composition on the unit cell parameter ( a ), unit cell volume ( V ), specific volume ( v ), and density ( ρ ) of various sodalites including $${M}_{8}^{+}{\left({\mathrm{AlSiO}}_{4}\right)}_{6}{\mathrm{Cl}}_{2}$$ M 8 + AlSiO 4 6 Cl 2 ( M = Li, Na, K, Rb, and/or Ag) and $${\mathrm{Na}}_{8}{\left({\mathrm{AlSiO}}_{4}\right)}_{6}{X}_{2}^{-}$$ Na 8 AlSiO 4 6 X 2 - ( X = Cl, Br, and/or I). Compositional models were developed, and the results show that the models are successful at predicting a , V , and v (and thus ρ ) within the compositional range available in the literature. Discussion is included on the correlation between the ionic radii of the alkali metals and halides in the sodalite β-cages and the measured values of a , V , v , and ρ . The data show linear increases in a and ρ with increases in the average ionic radii of the $${M}^{+}$$ M + and $${X}^{-}$$ X - constituents (data for v show a linear decrease).

中文翻译：

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离子位点占有率对 M8(AlSiO4)6X2 方钠石晶胞参数、比体积和密度的影响，其中 M = Li、Na、K、Rb 和 Ag 且 X = Cl、Br 和 I

本文讨论了成分对包括$${M}_{8}^{+ 在内的各种方钠石的晶胞参数 ( a )、晶胞体积 ( V )、比容 ( v ) 和密度 ( ρ ) 的影响}{\left({\mathrm{AlSiO}}_{4}\right)}_{6}{\mathrm{Cl}}_{2}$$ M 8 + AlSiO 4 6 Cl 2 ( M = Li, Na、K、Rb 和/或 Ag) 和 $${\mathrm{Na}}_{8}{\left({\mathrm{AlSiO}}_{4}\right)}_{6}{X }_{2}^{-}$$ Na 8 AlSiO 4 6 X 2 -（X = Cl、Br 和/或 I）。开发了成分模型，结果表明这些模型成功地预测了文献中可用的成分范围内的 a、V 和 v（以及因此 ρ）。讨论了方钠石 β 笼中碱金属和卤化物的离子半径与 a、V、v 和 ρ 的测量值之间的相关性。