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2 votes
0 answers
41 views

What is the precise definition of crystal systems and unit cell?

I was just wondering why there wasn't a rhombic 2D Bravais unit cell (wasn't there in the material provided to us) and realised upon drawing that it is the same as a centered rectangular unit cell. ...
user1280877's user avatar
8 votes
2 answers
2k views

Why are there only 14 types of Bravais lattices and not 28 when there are 7 types of unit cells and each can have four variations?

As the title suggests, I can't understand why certain kinds of variations (like Face-centred or Body-centred) are restricted to certain types of unit cells. An orthorhombic unit cell has Primitive, ...
Tatai's user avatar
  • 337
1 vote
0 answers
37 views

HCP and hexagonal primitive cell [duplicate]

There are 14 types of Bravais lattices one of them is hexagonal which is just present as primitive cell ie the basis are at its corners , now when I read about hexagonal closed packing I came to know ...
Navraj Singh's user avatar
0 votes
0 answers
885 views

Unit cell of hcp structure

It is given in my book that the structure in figure-1 is the unit cell of hcp structure. So why then is the structure in figure-2 not the unit cell as we can repeat the structure in figure-2 to get ...
Asher2211's user avatar
  • 159
0 votes
1 answer
319 views

Height of CCP Lattice

Are the height of the Cubic Close packing Lattice and the cubic Hexagonal Close Packing the same? My understanding says that these unit cells are formed by different arrangement of atoms, ABC for CCP ...
iAmSecretlyFlash's user avatar
2 votes
1 answer
331 views

If a good choice of a unit cell should be the one of most symmetry ,then why keep body centered tetragonal if face centered cubic exists?

For any lattice a good choice of a unit cell is the one that is the most symmetric. Now if every lattice made by a body centered tetragonal unit cell can be made by a face centered cubic unit cell ,...
Kashmiri's user avatar
  • 313
2 votes
2 answers
2k views

Conventional unit cell for a hexagonal crystal system

The figure shows a unit cell of a hexagonal crystal system. Drawn in bold, is the unit cell. The lightly shaded one is a unit cell as well and has a six fold symmetry along an axis, hence is more ...
Kashmiri's user avatar
  • 313
1 vote
1 answer
2k views

How do I find miller indices for a plane whose intercepts are fractions of the lattice constant?

[I'm talking with respect to cubic lattices alone.] For instance, if a plane has $x,y,z$ intercepts $a/2,a/2,a/2$ (where $a$ is the lattice constant) the miller index would be $[2\space2\space2]$. The ...
Elon Tusk's user avatar
  • 113
4 votes
2 answers
926 views

Is there a standard scholarly reference for lattice constants of crystals of the elements?

I need to discuss the lattice constants of bulk crystals of several metal and semiconductor elements. I can find plenty of tables and numbers that are probably "close enough" but for a paper ...
uhoh's user avatar
  • 5,997
1 vote
0 answers
32 views

Unit cell in a hexagonal closed pack structure

My textbook says that there are only 14 possible 3D lattices(Bravais Lattices). One of these 14 lattices is a hexagonal lattice in which only a primitive variation is given to be possible. But then I ...
Parth Kamra's user avatar
5 votes
1 answer
3k views

How do the three Miller indices (hkl) denote planes orthogonal to the reciprocal lattice vector?

The Wikipedia page for Miller indices defines Miller indices as follows: There are two equivalent ways to define the meaning of the Miller indices: via a point in the reciprocal lattice, or as the ...
The Pointer's user avatar
  • 1,103
1 vote
0 answers
679 views

Packing fractions of HCP and FCC

The packing fractions of hexagonal close packed unit cell and face centred cubic unit cell come out to be same when calculated geometrically. Is it just a coincidence? Differently put, could it be ...
Anubhab Das's user avatar
3 votes
1 answer
185 views

Does a molecule need to be placed symmetrically in the unit cell?

I was watching an OCW by MIT (3.091X) on solid state. My previous notion of lattice point and unit cell got shattered after this example. Where are the unit cell and lattice points in this picture? ...
Aditya Shrivastava's user avatar
0 votes
1 answer
60 views

Do two Miller planes need to have similar arrangement of atoms?

For two Miller planes, do I need to have the same arrangement of atoms in both of them? Does it need to look like the same plane translated a little? I have this question because if this is not the ...
Mahathi Vempati's user avatar