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MP DTE FCC Geometry — practice questions

Explore 1 free FCC Geometry questions in MP DTE Chemistry. Open each question or exercise to read its content, reference answers and available explanation.

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FCC Geometry questions and exercises with answers

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The relationship between **edge length $a$** and **atomic radius $r$** in a **face-centred cubic (fcc)** unit cell is:Read the answer and worked solution →

Worked practice questions

The relationship between **edge length $a$** and **atomic radius $r$** in a **face-centred cubic (fcc)** unit cell is:

  1. $a = 2r$
  2. $a = 4r/\sqrt 2 = 2\sqrt 2\, r$
  3. $a = 4r/\sqrt 3$
  4. $a = 2r\sqrt 3$
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Correct answer: B. $a = 4r/\sqrt 2 = 2\sqrt 2\, r$

In fcc, the face diagonal = $a\sqrt 2$ and equals 4r (4 atomic radii along the diagonal: corner + face + face + corner). **So $a\sqrt 2 = 4r$ ⇒ $a = 2\sqrt 2 \, r$.**

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