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Anions are larger than cations. Large sized anions occupy lattice sites, while small sized cations are found in voids. The ratio of radius of cation to anion is called radius ratio. In condensed matter physics and inorganic chemistry the cation-anion radius ratio (also: radius ratio rule) is the ratio of the ionic radius of the cation to the ionic radius of the anion in a cation-anion compound. This is simply given by . The table below gives the relation between radius ratio and coordination number, which may be obtained from a simple geometrical proof.

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  • Anions are larger than cations. Large sized anions occupy lattice sites, while small sized cations are found in voids. The ratio of radius of cation to anion is called radius ratio. In condensed matter physics and inorganic chemistry the cation-anion radius ratio (also: radius ratio rule) is the ratio of the ionic radius of the cation to the ionic radius of the anion in a cation-anion compound. This is simply given by . According to Pauling's rules for crystal structures, the allowed size of the cation for a given structure is determined by the critical radius ratio. If the cation is too small, then it will attract the anions into each other and they will collide hence the compound will be unstable due to anion-anion repulsion; this occurs when the radius ratio drops below 0.155. At the stability limit the cation is touching all the anions and the anions are just touching at their edges (radius ratio = 0.155). For radius ratios greater than 0.155, the compound may be stable. The table below gives the relation between radius ratio and coordination number, which may be obtained from a simple geometrical proof. The radius ratio rule was first proposed by Gustav F. Hüttig in 1920. In 1926, Victor Goldschmidt extended the use to ionic lattices. (en)
  • Dalam fisika benda terkondensasi dan kimia anorganik, rasio jari-jari kation-anion (disebut juga: aturan rasio jari-jari) adalah perbandingan jari-jari ionik kation terhadap jari-jari ionik anion dalam senyawa kation-anion. Rasio ini dinyatakan dalam rumus sederhana . Menurut aturan Pauling untuk struktur kristal, ukuran kation yang diperbolehkan untuk struktur yang diberikan ditentukan oleh rasio jari-jari kritis. Jika kation terlalu kecil, maka ia akan menarik anion saling mendekat dan akan berbenturan, sehingga senyawa menjadi tidak stabil akibat tolakan anion-anion; ini tejadi jika rasio jari-jari di bawah 0,155. Pada batas kestabilan, kation menyentuh seluruh anion, dan anion juga menyentuh masing-masing tepinya (rasio jari-jari = 0,155). Untuk rasio jari-jari lebih dari 0,155, senyawa dinyatakan stabil. Tabel di bawah menyajkan hubungan antara rasio jari-jari dan bilangan koordinasi, yang dapat diperoleh dari pembuktian geometri sederhana. Aturan rasio jari-jari pertama kali diusulkan oleh Gustav F. Hüttig pada tahun 1920. Pada tahun 1926, penggunaannya diperluas untuk kisi ionik. (in)
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  • Anions are larger than cations. Large sized anions occupy lattice sites, while small sized cations are found in voids. The ratio of radius of cation to anion is called radius ratio. In condensed matter physics and inorganic chemistry the cation-anion radius ratio (also: radius ratio rule) is the ratio of the ionic radius of the cation to the ionic radius of the anion in a cation-anion compound. This is simply given by . The table below gives the relation between radius ratio and coordination number, which may be obtained from a simple geometrical proof. (en)
  • Dalam fisika benda terkondensasi dan kimia anorganik, rasio jari-jari kation-anion (disebut juga: aturan rasio jari-jari) adalah perbandingan jari-jari ionik kation terhadap jari-jari ionik anion dalam senyawa kation-anion. Rasio ini dinyatakan dalam rumus sederhana . Pada batas kestabilan, kation menyentuh seluruh anion, dan anion juga menyentuh masing-masing tepinya (rasio jari-jari = 0,155). Untuk rasio jari-jari lebih dari 0,155, senyawa dinyatakan stabil. (in)
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  • Cation-anion radius ratio (en)
  • Rasio jari-jari kation-anion (in)
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