Table 1 Determined symmetry G and CSoM determined σsym-values of benzene, methylbenzene crystals, polyaromatic hydrocarbon with σsym-values of UFF optimized structure QUFF in parenthesis

From: Determining molecular structure, coordination geometry, and molecular symmetry using a continuous symmetry operation measure software

Q

Carbon only

(CSoM)

Molecule

(CSoM)

Molecule

(CSM)

ref

 

G: σsym(Q,G)

sym(QUFF,G))

G: σsym(Q,G)

sym(QUFF,G)

G: S(Q,G)

G: S(QUFF,G)

 

Benzene

1100158

D6h: 2.5E-3

(3.9E-8)

D6h: 6.0E-3

(3.8E-8)

C2: 2.0E-3

(2.0E-9)

C6: 3.0E-3

(0.0)

172

Benzene

251255

D6h: 0.02

(3.9E-8)

D6h: 0.06

(3.8E-8)

C2: 0.03

(2.0E-9)

C6: 0.03

(0.0)

173

Benzene

1100049

D6h: 0.23

(3.9E-8)

D6h: 0.33

(3.8E-8)

C2: 0.17

(2.0E-9)

C6: 0.17

(0.0)

174

Toluene

C2v: 0.016

(0.001)

C2v: 1.41

(1.82)

Cσ: 0.053

(1E-6)

C2: 1.74

(2.0)

175

o-xylene

C2v: 0.03

(2E-9)

C2v: 0.33

(2E-9)

Cσ: 0.04

(2E-9)

C2: 0.14

(0.0)

176

m-xylene

C2v: 0.08

(2E-6)

C2v: 0.16

(8E-6)

Cσ: 0.06

(4E-6)

C2: 0.03

(0.0)

177

p-xylene

D2h: 0.14

(1E-3)

D2h: 1.35

(1.71)

C2h: 0.09

(2E-9)

C2: 0.04

(0.0)

178

1,3,5-trimethyl-benzene

D3h: 0.28

(0.001)

D3h: 1.77

(1.82)

C3h: 0.55

(5E-8)

C3: 0.18

(0.0)

179

Naphthalene

D2h: 0.04

(2E-9)

D2h: 0.04

(2E-9)

C2h: 0.01

(2E-9)

n/a

180

Pyrene

D2h: 0.02

(3E-9)

D2h: 0.03

(3E-9)

C2h: 0.01

(3E-9)

n/a

181

Triphenylene

D3h: 0.15

(1E-6)

D3h: 0.20

(1E-6)

C3h: 0.13

(1E-7)

n/a

133

Perylene

D2h: 0.01

(4E-4)

D2h: 0.01

(1E-3)

C2h: 6E-4

(1E-3)

n/a

182

Coronene

D6h: 1E-3

(4E-8)

D6h: 7E-4

(4E-8)

D3d: 7E-4

(1E-10)

n/a

178

Hexabenzocoronene

D6h: 4.8

(3.2)

D6h: 5.4

(3.7)

D3d: 0.02

(5E-3)

n/a

132