Sphere Packing in Crystalline Solids

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12 Terms

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Cubic closest packing (FCC)

Coordination #12

4 atoms

3 different layers

Most efficient

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Body Centered Packing (BCC)

Coordination #8 2 atoms 2 layers

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Simple Cubic Packing (SC)

Coordination #6

1 atom

1 layer

Least Efficient

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Bragg’s Law

d = n𝜆/2sinθ

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Ionic Compounds

(ex. NaCl) Brittle, Higher melting point, Conducting and nonconducting

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Covalent

(ex. H2O(s))do not conduct electricity

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Covalent Network

(ex. Diamonds) Very high melting point, very hard

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Metallic

(ex. Fe(s)) conduct electricity, malleable and ductile

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Amorphus

atoms are clumped together…no geometric arrangement (ex. Plastic and rubber)

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SC Length

l = 2 × r

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FCC Length

l = sqrt(8) * r

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BCC Length

l = 4r/sqrt(3)