JEE Main Chemistry question
Not in JEE Main or NEET syllabus
Metal M of radius 50 nm was crystallized in fcc type and made into a cubical crystal such that the faces of the unit cells aligned with the faces of the cubical crystal. If the total number of metal atoms of M at all faces of the cubical crystal is , then the area of one face of the cubical crystal is . Find the value of .
Answer: 2
Solution
On one face of an fcc unit cell, the 4 corner atoms contribute and the 1 face-centred atom contributes — but since the face-centred atom is itself shared between the crystal face and the next unit cell's identical face along the surface, each unit-cell face effectively presents 1 atom.
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