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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: PBEPBE/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/6-31G
 hartrees
Energy at 0K-231.754999
Energy at 298.15K-231.761295
HF Energy-231.754999
Nuclear repulsion energy211.721793
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at PBEPBE/6-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3217 3173 7.44      
2 A1 3198 3154 22.20      
3 A1 3167 3123 0.62      
4 A1 1582 1560 2.64      
5 A1 1362 1343 0.24      
6 A1 1174 1158 2.77      
7 A1 1103 1088 3.32      
8 A1 986 972 0.49      
9 A1 892 880 0.03      
10 A1 761 750 8.27      
11 A1 710 700 3.58      
12 A2 1104 1089 0.00      
13 A2 910 898 0.00      
14 A2 875 862 0.00      
15 A2 736 726 0.00      
16 A2 534 526 0.00      
17 B1 3173 3129 16.05      
18 B1 1091 1076 29.36      
19 B1 995 981 0.11      
20 B1 748 738 88.05      
21 B1 624 615 0.00      
22 B1 507 500 13.96      
23 B2 3188 3144 12.47      
24 B2 3169 3125 18.16      
25 B2 1318 1300 6.62      
26 B2 1254 1237 0.48      
27 B2 1175 1159 3.57      
28 B2 977 963 0.01      
29 B2 852 840 2.03      
30 B2 814 803 14.18      

Unscaled Zero Point Vibrational Energy (zpe) 21097.4 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 20806.2 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at PBEPBE/6-31G
ABC
0.24084 0.17220 0.12721

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.737 0.000 -1.026
C2 -0.737 0.000 -1.026
C3 0.000 1.088 -0.199
C4 0.000 -1.088 -0.199
C5 0.000 0.678 1.260
C6 0.000 -0.678 1.260
H7 1.517 0.000 -1.785
H8 -1.517 0.000 -1.785
H9 0.000 2.128 -0.530
H10 0.000 -2.128 -0.530
H11 0.000 1.364 2.106
H12 0.000 -1.364 2.106

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.47461.55281.55282.49532.49531.08832.37892.30572.30573.49453.4945
C21.47461.55281.55282.49532.49532.37891.08832.30572.30573.49453.4945
C31.55281.55282.17611.51512.29022.44982.44981.09113.23272.32123.3650
C41.55281.55282.17612.29021.51512.44982.44983.23271.09113.36502.3212
C52.49532.49531.51512.29021.35543.46853.46852.30353.32771.08942.2099
C62.49532.49532.29021.51511.35543.46853.46853.32772.30352.20991.0894
H71.08832.37892.44982.44983.46853.46853.03442.89882.89884.39324.3932
H82.37891.08832.44982.44983.46853.46853.03442.89882.89884.39324.3932
H92.30572.30571.09113.23272.30353.32772.89882.89884.25532.74464.3748
H102.30572.30573.23271.09113.32772.30352.89882.89884.25534.37482.7446
H113.49453.49452.32123.36501.08942.20994.39324.39322.74464.37482.7275
H123.49453.49453.36502.32122.20991.08944.39324.39324.37482.74462.7275

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.653 C1 C2 C4 61.653
C1 C2 H8 135.774 C1 C3 C2 56.694
C1 C3 C5 108.839 C1 C3 H9 120.386
C1 C4 C2 56.694 C1 C4 C6 108.839
C1 C4 H10 120.386 C2 C1 C3 61.653
C2 C1 C4 61.653 C2 C1 H7 135.774
C2 C3 C5 108.839 C2 C3 H9 120.386
C2 C4 C6 108.839 C2 C4 H10 120.386
C3 C1 C4 88.961 C3 C1 H7 135.374
C3 C2 C4 88.961 C3 C2 H8 135.374
C3 C5 C6 105.713 C3 C5 H11 125.257
C4 C1 H7 135.374 C4 C2 H8 135.374
C4 C6 C5 105.713 C4 C6 H12 125.257
C5 C3 H9 123.394 C5 C6 H12 129.030
C6 C4 H10 123.394 C6 C5 H11 129.030
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.071      
2 C -0.071      
3 C -0.304      
4 C -0.304      
5 C -0.044      
6 C -0.044      
7 H 0.140      
8 H 0.140      
9 H 0.143      
10 H 0.143      
11 H 0.136      
12 H 0.136      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.946 0.946
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.124 0.000 0.000
y 0.000 -32.361 0.000
z 0.000 0.000 -32.489
Traceless
 xyz
x -4.699 0.000 0.000
y 0.000 2.445 0.000
z 0.000 0.000 2.253
Polar
3z2-r24.507
x2-y2-4.763
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.629 0.000 0.000
y 0.000 8.634 0.000
z 0.000 0.000 8.520


<r2> (average value of r2) Å2
<r2> 112.795
(<r2>)1/2 10.621