Question about crystallography

The primitive vectors in these types of lattices are half the length of the cube edges. Therefore, a translational vector with m,n,p as integers can connect any two lattice points, including the middle one, in these types of lattices. This is possible due to the symmetry of the Bravais lattice that allows for the lattice points to be connected in a repeating pattern.
  • #1
Shan K
73
0
Hi,
I am now studying crystall structure and stucked in a question. Any kind of help will be highly appreciated.
In crystall structure talking about translational symmetry they said that for any crystall a translational vector of the kind ,
T = m*a + n*b + p*c
where a,b,c are primitive length. and n, m, p are integers,
can connect any two lattice points , but my question is if the lattice is of bcc or fcc type how this vector connects any two lattice points in them with taking n,m,p as integers ?
Because they will have a lattice point in between the eight corners of the cube, then how can we connect that point (the middle one for body centered cubic) from the corner of the cube by mean of this vector.
As taking m,n,p as integers we can go from a corner but not in the middle .
Thank You
 
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  • #3
The edges of the cube in BCC or FCC are not primitive vectors.
 

1. What is crystallography?

Crystallography is the scientific study of crystals and their structures. It involves the use of X-rays, electrons, or other types of radiation to analyze the arrangement of atoms within a crystal, as well as the physical and chemical properties of crystals.

2. What are crystals?

Crystals are solid materials made up of atoms, molecules, or ions that are arranged in a repeating pattern. They have a defined shape and can exhibit unique physical and chemical properties, such as color, hardness, and conductivity.

3. Why is crystallography important?

Crystallography is important in many fields of science, including chemistry, materials science, geology, and biology. It allows scientists to understand the structure and properties of crystals, which can provide valuable insights into the behavior and functionality of materials and biological structures.

4. How is crystallography used in research?

Crystallography is used in research to determine the atomic and molecular structure of crystals. This information can then be used to understand the properties and behavior of the material, as well as to design and develop new materials with specific properties.

5. What techniques are used in crystallography?

The most common techniques used in crystallography include X-ray crystallography, electron diffraction, and neutron scattering. These techniques involve bombarding a crystal with a beam of radiation and analyzing the resulting diffraction pattern to determine the crystal structure.

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