Hexagonal Lattice (Definition of Vectors)
a1
Chiral vector
y
Ch  na1  ma2
a2
(4,-5)
x
T
3
3
a1  ( acc ,
acc )
2
2
3
3
a 2  ( acc ,
acc )
2
2
a1  a 2  3acc  a
O
Ch

(6,3)
3 1
a1  ( , )a
2 2
3 1
a 2  ( , ) a
2
2
Wrapping (10,0) SWNT (zigzag)
(0,0)
a1
a2
Ch = (10,0)
y
x
Wrapping (10,0) SWNT (Animation)
(0,0)
a1
a2
Ch = (10,0)
y
x
Wrapping (10,10) SWNT (armchair)
(0,0)
a1
a2
y
x
Ch = (10,10)
Wrapping (10,10) SWNT (Animation)
(0,0)
a1
a2
y
x
Ch = (10,10)
Wrapping (10,5) SWNT (chiral)
(0,0)
Ch = (10,5)
a1
a2
y
x
Wrapping (10,5) SWNT (Animation)
(0,0)
Ch = (10,5)
a1
a2
y
x
Hexagonal Lattice (n,m) nanotubes
(0,0) (1,0)
(1,1)
(2,0) (3,0)
(4,0) (5,0)
(2,1) (3,1) (4,1)
(2,2)
(5,1)
(3,2) (4,2)
(3,3)
(6,0) (7,0) (8,0)
(6,1) (7,1)
(4,3)
(5,3)
(4,4)
(6,3)
(5,4)
a1
(9,1)
(8,2)
(7,3)
(6,4)
(5,5)
y
(8,1)
(5,2) (6,2) (7,2)
(7,4)
(6,5)
(10,1)
(9,2)
(8,3)
(10,2)
(9,3)
(8,4)
(7,5)
(6,6)
(9,4)
(8,5)
(7,6)
(8,6)
(7,7)
a2
Zigzag
(9,0) (10,0) (11,0)
Armchair
x
n - m = 3q (q: integer): metallic
n - m  3q (q: integer): semiconductor

Spiral Wrapping Band

Slide 1

Homework Timetable 2014-15

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