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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: PBEPBEultrafine/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-231.848814
Energy at 298.15K-231.855014
HF Energy-231.848814
Nuclear repulsion energy212.694693
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 PBEPBEultrafine/aug-cc-pVDZ
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 3184 3164 6.75      
2 A1 3148 3129 14.78      
3 A1 3126 3107 0.04      
4 A1 1566 1556 8.65      
5 A1 1372 1364 0.17      
6 A1 1159 1152 3.86      
7 A1 1073 1066 2.56      
8 A1 960 954 0.31      
9 A1 889 883 0.06      
10 A1 740 735 2.17      
11 A1 660 656 6.43      
12 A2 1070 1063 0.00      
13 A2 866 861 0.00      
14 A2 835 830 0.00      
15 A2 750 746 0.00      
16 A2 524 520 0.00      
17 B1 3126 3107 17.96      
18 B1 1074 1068 28.69      
19 B1 946 940 0.03      
20 B1 731 727 87.55      
21 B1 600 597 3.55      
22 B1 488 485 14.97      
23 B2 3158 3139 6.87      
24 B2 3130 3111 23.41      
25 B2 1287 1279 4.93      
26 B2 1220 1213 4.48      
27 B2 1167 1160 2.47      
28 B2 957 951 0.52      
29 B2 836 831 5.79      
30 B2 795 790 9.87      

Unscaled Zero Point Vibrational Energy (zpe) 20718.2 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 20591.9 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 PBEPBEultrafine/aug-cc-pVDZ
ABC
0.24375 0.17393 0.12823

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.731 0.000 -1.014
C2 -0.731 0.000 -1.014
C3 0.000 1.081 -0.202
C4 0.000 -1.081 -0.202
C5 0.000 0.676 1.256
C6 0.000 -0.676 1.256
H7 1.493 0.000 -1.802
H8 -1.493 0.000 -1.802
H9 0.000 2.123 -0.546
H10 0.000 -2.123 -0.546
H11 0.000 1.363 2.109
H12 0.000 -1.363 2.109

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46171.53731.53732.47892.47891.09562.35882.29362.29363.48483.4848
C21.46171.53731.53732.47892.47892.35881.09562.29362.29363.48483.4848
C31.53731.53732.16181.51232.28292.44072.44071.09733.22222.32733.3627
C41.53731.53732.16182.28291.51232.44072.44073.22221.09733.36272.3273
C52.47892.47891.51232.28291.35303.46893.46892.31013.32881.09472.2104
C62.47892.47892.28291.51231.35303.46893.46893.32882.31012.21041.0947
H71.09562.35882.44072.44073.46893.46892.98532.88322.88324.40184.4018
H82.35881.09562.44072.44073.46893.46892.98532.88322.88324.40184.4018
H92.29362.29361.09733.22222.31013.32882.88322.88324.24582.76094.3811
H102.29362.29363.22221.09733.32882.31012.88322.88324.24584.38112.7609
H113.48483.48482.32733.36271.09472.21044.40184.40182.76094.38112.7254
H123.48483.48483.36272.32732.21041.09474.40184.40184.38112.76092.7254

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.613 C1 C2 C4 61.613
C1 C2 H8 134.053 C1 C3 C2 56.774
C1 C3 C5 108.751 C1 C3 H9 120.126
C1 C4 C2 56.774 C1 C4 C6 108.751
C1 C4 H10 120.126 C2 C1 C3 61.613
C2 C1 C4 61.613 C2 C1 H7 134.053
C2 C3 C5 108.751 C2 C3 H9 120.126
C2 C4 C6 108.751 C2 C4 H10 120.126
C3 C1 C4 89.358 C3 C1 H7 135.282
C3 C2 C4 89.358 C3 C2 H8 135.282
C3 C5 C6 105.511 C3 C5 H11 125.672
C4 C1 H7 135.282 C4 C2 H8 135.282
C4 C6 C5 105.511 C4 C6 H12 125.672
C5 C3 H9 123.783 C5 C6 H12 128.817
C6 C4 H10 123.783 C6 C5 H11 128.817
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.675      
2 C 0.675      
3 C 0.809      
4 C 0.809      
5 C 0.341      
6 C 0.341      
7 H -0.631      
8 H -0.631      
9 H -0.660      
10 H -0.660      
11 H -0.535      
12 H -0.535      


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 -0.987 0.987
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.115 0.000 0.000
y 0.000 -33.117 0.000
z 0.000 0.000 -33.937
Traceless
 xyz
x -4.589 0.000 0.000
y 0.000 2.909 0.000
z 0.000 0.000 1.680
Polar
3z2-r23.359
x2-y2-4.999
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.349 0.000 0.000
y 0.000 10.194 0.000
z 0.000 0.000 10.712


<r2> (average value of r2) Å2
<r2> 112.735
(<r2>)1/2 10.618