The reciprocal lattice: For a two-dimensional Bravais lattice R = ma, + naz. (2.28) the reciprocal lattice is also two dimensional: G = m'b, + n'bz. (2.29) Often the most practical way to construct the reciprocal lattice is the relation a, - b, = 2ndy, (2.30) Na (cr Na Na cr Na Figure 2.15 One-dimensional chain of ions. Square Rectangular Нехадопal a2 a2 la,l= la, la,l la,l la,l= lagl Y= 90° Y= 90° Y= 60° Figure 2.16 Two-dimensional Bravais lattices. which remains valid in the two-dimensional case. Find the reciprocal lattice for the three cases given in Figure 2.16.
The reciprocal lattice: For a two-dimensional Bravais lattice R = ma, + naz. (2.28) the reciprocal lattice is also two dimensional: G = m'b, + n'bz. (2.29) Often the most practical way to construct the reciprocal lattice is the relation a, - b, = 2ndy, (2.30) Na (cr Na Na cr Na Figure 2.15 One-dimensional chain of ions. Square Rectangular Нехадопal a2 a2 la,l= la, la,l la,l la,l= lagl Y= 90° Y= 90° Y= 60° Figure 2.16 Two-dimensional Bravais lattices. which remains valid in the two-dimensional case. Find the reciprocal lattice for the three cases given in Figure 2.16.
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Transcribed Image Text:The reciprocal lattice: For a two-dimensional Bravais lattice
R = ma, + naz.
(2.28)
the reciprocal lattice is also two dimensional:
G = m'b, +n'b2.
(2.29)
Often the most practical way to construct the reciprocal lattice is the relation
a, - b; = 2ndj,
(2.30)
(Na
cr
Nat
Na
cr
Na
Figure 2.15 One-dimensional chain of ions.
Square
Rectangular
Hexagonal
a2
a2
a2
a,
a,
la,l= lazl
Y= 90°
Y= 90°
Y= 60°
Figure 2.16 Two-dimensional Bravais lattices.
which remains valid in the two-dimensional case. Find the reciprocal lattice for the
three cases given in Figure 2.16.
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