How to Deal with Solid State Numerical Problems - Part 3

Close-packing of spheres in geometry is a dense, infinite, regular arrangement of congruent, identical spheres in an arrangement (aka lattice).


The cubic (or isometric) crystal system in crystallography is a crystal system where the unit cell is in the shape of a cube, one of the most common and simplest shapes found in crystals and minerals.

One of the three main varieties of these crystals is face-centered cubic (cF or fcc).

Question:

What is the total atom number in a diamond unit cell (fcc type with 4 unshared tetrahedrally bonded atoms)?

Solution:



Click/tap to enlarge the image

Solid understanding of solid state❓ Let Chemaficionado know in the comments below or at mychemistryhomework@gmail.com❗

References:

(1)    Wikipedia Contributors. Cubic crystal system. Wikipedia. https://en.wikipedia.org/wiki/Cubic_crystal_system.

‌(2)    Ncert. Chemistry : Textbook for Class XI - Part.I; National Council Of Educational Research And Training: New Delhi.

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