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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: PBEPBE/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-231.898332
Energy at 298.15K-231.904588
HF Energy-231.898332
Nuclear repulsion energy213.767142
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/cc-pVTZ
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 3176 3154 7.38      
2 A1 3140 3118 13.73      
3 A1 3118 3097 0.07      
4 A1 1572 1561 5.36      
5 A1 1372 1362 0.07      
6 A1 1167 1159 3.19      
7 A1 1083 1075 2.36      
8 A1 965 958 0.35      
9 A1 889 883 0.01      
10 A1 747 742 2.50      
11 A1 671 666 6.95      
12 A2 1078 1070 0.00      
13 A2 880 874 0.00      
14 A2 861 855 0.00      
15 A2 754 749 0.00      
16 A2 531 528 0.00      
17 B1 3119 3098 17.26      
18 B1 1080 1073 27.04      
19 B1 963 956 0.00      
20 B1 740 735 84.22      
21 B1 614 610 1.39      
22 B1 497 493 12.07      
23 B2 3152 3130 6.58      
24 B2 3122 3100 23.51      
25 B2 1295 1286 5.93      
26 B2 1226 1218 2.54      
27 B2 1171 1163 2.84      
28 B2 959 953 0.33      
29 B2 841 835 4.36      
30 B2 801 796 11.25      

Unscaled Zero Point Vibrational Energy (zpe) 20791.5 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 20648.0 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/cc-pVTZ
ABC
0.24664 0.17536 0.12934

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.725 0.000 -1.012
C2 -0.725 0.000 -1.012
C3 0.000 1.076 -0.201
C4 0.000 -1.076 -0.201
C5 0.000 0.671 1.252
C6 0.000 -0.671 1.252
H7 1.485 0.000 -1.790
H8 -1.485 0.000 -1.790
H9 0.000 2.110 -0.542
H10 0.000 -2.110 -0.542
H11 0.000 1.354 2.097
H12 0.000 -1.354 2.097

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45081.53031.53032.47002.47001.08762.34362.28052.28053.46793.4679
C21.45081.53031.53032.47002.47002.34361.08762.28052.28053.46793.4679
C31.53031.53032.15201.50782.27222.42692.42691.08933.20462.31483.3444
C41.53031.53032.15202.27221.50782.42692.42693.20461.08933.34442.3148
C52.47002.47001.50782.27221.34273.45093.45092.29983.31011.08662.1947
C62.47002.47002.27221.50781.34273.45093.45093.31012.29982.19471.0866
H71.08762.34362.42692.42693.45093.45092.97062.86652.86654.37614.3761
H82.34361.08762.42692.42693.45093.45092.97062.86652.86654.37614.3761
H92.28052.28051.08933.20462.29983.31012.86652.86654.22082.74584.3553
H102.28052.28053.20461.08933.31012.29982.86652.86654.22084.35532.7458
H113.46793.46792.31483.34441.08662.19474.37614.37612.74584.35532.7078
H123.46793.46793.34442.31482.19471.08664.37614.37614.35532.74582.7078

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.705 C1 C2 C4 61.705
C1 C2 H8 134.322 C1 C3 C2 56.590
C1 C3 C5 108.779 C1 C3 H9 120.098
C1 C4 C2 56.590 C1 C4 C6 108.779
C1 C4 H10 120.098 C2 C1 C3 61.705
C2 C1 C4 61.705 C2 C1 H7 134.322
C2 C3 C5 108.779 C2 C3 H9 120.098
C2 C4 C6 108.779 C2 C4 H10 120.098
C3 C1 C4 89.354 C3 C1 H7 135.267
C3 C2 C4 89.354 C3 C2 H8 135.267
C3 C5 C6 105.567 C3 C5 H11 125.523
C4 C1 H7 135.267 C4 C2 H8 135.267
C4 C6 C5 105.567 C4 C6 H12 125.523
C5 C3 H9 123.838 C5 C6 H12 128.911
C6 C4 H10 123.838 C6 C5 H11 128.911
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.112      
2 C -0.112      
3 C -0.024      
4 C -0.024      
5 C -0.133      
6 C -0.133      
7 H 0.099      
8 H 0.099      
9 H 0.070      
10 H 0.070      
11 H 0.100      
12 H 0.100      


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 -0.924 0.924
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.622 0.000 0.000
y 0.000 -32.866 0.000
z 0.000 0.000 -33.443
Traceless
 xyz
x -4.467 0.000 0.000
y 0.000 2.666 0.000
z 0.000 0.000 1.801
Polar
3z2-r23.602
x2-y2-4.755
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.161 0.000 0.000
y 0.000 9.595 0.000
z 0.000 0.000 9.847


<r2> (average value of r2) Å2
<r2> 111.605
(<r2>)1/2 10.564