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Coordination Number

The radius of...

Question

The radius of Na⁺ ion is 95pm and that of Cl^- ion is 181pm. Predict whether the coordination number of Na⁺ ion is 6 or 4 ?

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Solution

Dear Student,

Radius of cation Na⁺ = 95 pm
Radius of anion Cl^- = 181 pm

Radius ratio = radius of cationradius of anionradius of cationradius of anion =95181 =0.52495181 =0.524

Limiting radius ratio ( r+ / r-) Crystal structure Structure type Coordination
number Example

0.732 and more Cube CsCl type 8 CsI, CsBr

0.414 – 0.732 Octahedron NaCl type 6 MgO, NaBr

0.225 – 0.414 Tetrahedron ZnS type 4 CuCl, CuBr

From the above table, we find that radius ratio of NaCl is in the range 0.414 -0.732. So its coordination number is 6.

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