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With the help of a labelled diagram show that there are four octahedral voids per unit cell in a cubic close packed structure. - Chemistry

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प्रश्न

With the help of a labelled diagram show that there are four octahedral voids per unit cell in a cubic close packed structure.

दीर्घउत्तर
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उत्तर

In ccp, each cube consists of eight cubic components, number of atoms per unit cell in ccp is

Where Nc = No. of atoms at  corner

Nf = No. of atoms at face centre

= Nc × Nf × contribution

= `8 xx 1/8 + 6 xx 1/2` = 4

Position of octahedral voids = Edge centre and body centre

Number of actahedral voids per unit cell in cubic close packing = `N_e xx 1/4 + N_b xx 1`

= `12 xx 1/4 + 1 xx 1` = 4

⇒ Number of octahedral voids = 4.

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Close Packed Structures of Solids
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अध्याय 1: Solid States - Exercises [पृष्ठ १३]

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एनसीईआरटी एक्झांप्लर Chemistry [English] Class 12
अध्याय 1 Solid States
Exercises | Q VI. 74. | पृष्ठ १३

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