What distinguishes a crystal lattice from a unit cell?

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SUMMARY

A crystal lattice is an idealized structure representing an orderly array of points in space, where each lattice point corresponds to an identical group of atoms, referred to as a basis. The unit cell, specifically the primitive cell, is defined by the set of basis vectors and represents the smallest volume that can encapsulate the symmetry of the crystal. Thus, the unit cell is indeed a part of the lattice, serving as the smallest representative section of the crystal structure.

PREREQUISITES
  • Understanding of crystal structures and symmetry
  • Familiarity with basis vectors in crystallography
  • Knowledge of primitive cells in solid-state physics
  • Basic concepts of lattice points and their significance
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  • Research the role of basis vectors in defining crystal lattices
  • Explore the different types of unit cells in crystallography
  • Learn about the relationship between lattice structures and material properties
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asdf1
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what's the difference between those two?
 
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A lattice is a (idealized) structure of crystals where each lattice point represent an identical group of atoms. A group is sometimes called a basis. One can form basis vectors with which all lattice point positions can be expressed. The unit cell (I guess you mean the primitive cell) is the volume defined by the set of basis vectors. This is the smallest volume; there are no cells with smaller volumes.

Hopefully this was of help. If not, don't hesitate to ask. :smile:
 
asdf1 said:
what's the difference between those two?
What does your textbook or class notes say ?
 
my textbook says:
unit cell: crystal structure that's the smallest group of atoms possessing
the symmetry of the crystal
lattice: orderly array of points in space

so does that mean that the unit cell is part of the lattice?
 
asdf1 said:
so does that mean that the unit cell is part of the lattice?
Yes, it is the smallest "representative" part.
 
ok, thanks!
 

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