chemia - Studia

MAHDIEH AZARI, ALI IRANMANESH
V ( G)
= 2 pq , E( G)
= 3pq
− p and we have:
r s s r
r s s r
M
{ r,
s}(
G)
= 4 p(2
3 + 2 3 ) + (3pq
− 5p)(3
3 + 3 3 ) =
r+
2 s s+
2 r
r+
s
p(2
3 + 2 3 + 2(3q
− 5)3 ) .
Figure 1. TUZC (8,8) 6
Let T = TZC ( p, q)
6
be the nanotorus related to the nanotube TZC6(p,q).
Then, V ( T ) = 2 pq , E( T)
= 3pq
and
M .
r s s r
r+
s+
1
{ r,
s}
( T)
= 3pq(3
3 + 3 3 ) = 2 pq3
Let TUAC6 ( p,
q)
G = be an arbitrary armchair polyhex nanotube,
where p is the number of horizontal hexagons in one row and q is the
number of rows in the molecular graph of G (see Figure 2). Then
V ( G)
= 2 pq , E( G)
= 3pq
− 2 p and we have:
r s s r
r s s r
r s s r
M
{ r,
s}(
G)
= 4 p(2
3 + 2 3 ) + 2 p(2
2 + 2 2 ) + (3pq
− 8p)(3
3 + 3 3 ) =
r+
2 s s+
2 r r+
s+
2
r+
s
p(2
3 + 2 3 + 2 + 2(3q
− 8)3 ) .
62
Figure 2. TUAC 6
(4,16)
Let T = TAC ( p,
) be the nanotorus related to G. Then V ( T ) = 2 pq ,
6
q
r s s r
r+
s+
1
E( T)
= 3pq
and M ( T)
= 3pq(3
3 + 3 3 ) = 2 pq .
{ r,
s}
3