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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Aluminium crystallizes in a cubic close packed structure. Its metallic radius is 125 pm. calculate the edge length of the unit cell. - Chemistry

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Question

Aluminium crystallizes in a cubic close packed structure. Its metallic radius is 125 pm. calculate the edge length of the unit cell.

Numerical

Solution

Cubic close packing is based on face centered cubic unit cell.

For fcc structure (r) = `("a"sqrt2)/4`

Given, Radius (r) = 125 pm

Edge length of unit cell (a) = ?

∵ r = `("a"sqrt2)/4`

∴ a = `(4"r")/sqrt2`

= `(4 xx 125)/1.414`

a = 353.6 pm

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Primitive and Non-primitive Unit Cell
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Chapter 6: Solid State - Evaluation [Page 201]

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Samacheer Kalvi Chemistry - Volume 1 and 2 [English] Class 12 TN Board
Chapter 6 Solid State
Evaluation | Q 18. | Page 201
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