hii saurya........what do u mean by basic lattice
Answers
when a unit cell is repeatedly and continuously fill all of 3D space....is known as basic lattice.
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Lattice
A lattice is in general defined as a discrete but infinite regular arrangement of points (lattice sites) in a vector space.
Bravais Lattice
In solid state physics one usually encounters lattices which exhibit a discrete translational symmetry. If one considers for instance the vector space
R
3
R3
this means that a translation of the whole lattice by any translation vector given by
→
T
m
n
o
=
m
→
a
1
+
n
→
a
2
+
o
→
a
3
m
,
n
,
o
∈
Z
(1)
(1)T→mno=ma→1+na→2+oa→3m,n,o∈Z
leaves the lattice unchanged.
A lattice that can be characterised in this way is referred to as a Bravais lattice. All lattice points are equivalent, i.e. all properties remain invariant under translations by any vector
→
T
m
n
o
T→mno
. Also, an observer sitting on one specific lattice point would see the same environment as when sitting on any other. However, if there are lattice points with different environments they cannot form a Bravais lattice! (This is an equivalent definition of a Bravais lattice.
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