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In a close packed structure, the atoms s...

In a close packed structure, the atoms stack together occupying maximum space and leaving minimum vacant space. The close packing arrangment may be hcp (ABABA….) or ccp (ABCABCA….). In these arrangments, there is one octahedral void and two tetrahedral voids. Depending upon the ratio of size of cation and anion, the ions of one type occupy the voids of other ions. This results in different types of crystalline structures.
A metal crystallises into two cubic phases, fcc and bcc. Which phase has lesser packing efficiency and how much ?

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To determine which cubic phase, face-centered cubic (FCC) or body-centered cubic (BCC), has lesser packing efficiency and by how much, we will calculate the packing efficiency for both structures step by step. ### Step 1: Understand the concept of packing efficiency Packing efficiency is defined as the ratio of the volume occupied by the atoms in a unit cell to the total volume of the unit cell, expressed as a percentage. **Hint:** Remember that the formula for packing efficiency is: \[ \text{Packing Efficiency} = \left( \frac{\text{Volume of atoms in unit cell}}{\text{Total volume of unit cell}} \right) \times 100\% \] ...
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