BARC-11: Why Diamond Cubic & HCP are not a part of the 14 Bravais Lattices

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Asked: 2020-04-21T10:32:23+05:30
2020-04-21T10:32:23+05:30In: Physical Metallurgy & Heat treatment

BARC-11: Why Diamond Cubic & HCP are not a part of the 14 Bravais Lattices

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In the definition , we can see that in Bravias lattice it's said that when identical lattice points are arranged in space then 14 regular patterns can be obtained. However if we see the DC or HCP, both don't have an identical arrangements of points(atoms) at the same distance, so it didn't satisfy tRead more

In the definition , we can see that in Bravias lattice it’s said that when identical lattice points are arranged in space then 14 regular patterns can be obtained.

However if we see the DC or HCP, both don’t have an identical arrangements of points(atoms) at the same distance, so it didn’t satisfy the definition and not included in the list.

If it is not have periodicity, then why it is called crystal? (Like HCP crystal structure)Â @rohit.km

If it is not have periodicity, then why it is called crystal? (Like HCP crystal structure)Â Rohit jha.km

See lessKathir , we don't define a crystal by periodicity. Crystal structure = lattice + motif Lattice us defined by periodicity. The diamond cubic crystal han FCC lattice + 2motif (000) and (1/4, 1/4, 1/4). Similarly, the HCP has motif at (000) and (2/3, 1/3, 1/2). Hence both can be stated as crystals butRead more

Kathir , we don’t define a crystal by periodicity.

Crystal structure = lattice + motif

Lattice us defined by periodicity.

The diamond cubic crystal han FCC lattice + 2motif (000) and (1/4, 1/4, 1/4).

Similarly, the HCP has motif at (000) and (2/3, 1/3, 1/2).

Hence both can be stated as crystals but not lattices.

For more details watch Dr. Rajesh Prasad lectures.

See lessBravais lattice has the translation symmetry but HCP& DC doesn't have that symmery

Bravais lattice has the translation symmetry but HCP& DC doesn’t have that symmery

See less