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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: HSEh1PBE/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HSEh1PBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-231.940371
Energy at 298.15K-231.946838
HF Energy-231.940371
Nuclear repulsion energy215.352044
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 HSEh1PBE/6-311+G(3df,2p)
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 3259 3259 5.09      
2 A1 3233 3233 8.19      
3 A1 3200 3200 0.91      
4 A1 1635 1635 8.39      
5 A1 1431 1431 0.11      
6 A1 1210 1210 4.15      
7 A1 1122 1122 2.57      
8 A1 998 998 0.28      
9 A1 931 931 0.23      
10 A1 777 777 2.77      
11 A1 704 704 6.48      
12 A2 1129 1129 0.00      
13 A2 934 934 0.00      
14 A2 907 907 0.00      
15 A2 804 804 0.00      
16 A2 550 550 0.00      
17 B1 3214 3214 10.94      
18 B1 1131 1131 27.73      
19 B1 1009 1009 0.10      
20 B1 779 779 94.75      
21 B1 653 653 3.89      
22 B1 514 514 13.79      
23 B2 3234 3234 4.72      
24 B2 3202 3202 21.36      
25 B2 1346 1346 6.44      
26 B2 1281 1281 3.71      
27 B2 1224 1224 2.63      
28 B2 999 999 0.24      
29 B2 871 871 6.52      
30 B2 830 830 10.43      

Unscaled Zero Point Vibrational Energy (zpe) 21554.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21554.4 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 HSEh1PBE/6-311+G(3df,2p)
ABC
0.25055 0.17775 0.13121

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.719 0.000 -1.004
C2 -0.719 0.000 -1.004
C3 0.000 1.067 -0.202
C4 0.000 -1.067 -0.202
C5 0.000 0.666 1.244
C6 0.000 -0.666 1.244
H7 1.479 0.000 -1.772
H8 -1.479 0.000 -1.772
H9 0.000 2.096 -0.539
H10 0.000 -2.096 -0.539
H11 0.000 1.344 2.084
H12 0.000 -1.344 2.084

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.43851.51671.51672.45302.45301.07992.32822.26392.26393.44413.4441
C21.43851.51671.51672.45302.45302.32821.07992.26392.26393.44413.4441
C31.51671.51672.13431.50082.25702.40652.40651.08223.18062.30263.3224
C41.51671.51672.13432.25701.50082.40652.40653.18061.08223.32242.3026
C52.45302.45301.50082.25701.33143.42473.42472.28563.28701.07942.1781
C62.45302.45302.25701.50081.33143.42473.42473.28702.28562.17811.0794
H71.07992.32822.40652.40653.42473.42472.95752.84582.84584.34314.3431
H82.32821.07992.40652.40653.42473.42472.95752.84582.84584.34314.3431
H92.26392.26391.08223.18062.28563.28702.84582.84584.19112.72844.3255
H102.26392.26393.18061.08223.28702.28562.84582.84584.19114.32552.7284
H113.44413.44412.30263.32241.07942.17814.34314.34312.72844.32552.6879
H123.44413.44413.32242.30262.17811.07944.34314.34314.32552.72842.6879

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.691 C1 C2 C4 61.691
C1 C2 H8 134.695 C1 C3 C2 56.618
C1 C3 C5 108.767 C1 C3 H9 120.253
C1 C4 C2 56.618 C1 C4 C6 108.767
C1 C4 H10 120.253 C2 C1 C3 61.691
C2 C1 C4 61.691 C2 C1 H7 134.695
C2 C3 C5 108.767 C2 C3 H9 120.253
C2 C4 C6 108.767 C2 C4 H10 120.253
C3 C1 C4 89.435 C3 C1 H7 135.212
C3 C2 C4 89.435 C3 C2 H8 135.212
C3 C5 C6 105.514 C3 C5 H11 125.558
C4 C1 H7 135.212 C4 C2 H8 135.212
C4 C6 C5 105.514 C4 C6 H12 125.558
C5 C3 H9 123.659 C5 C6 H12 128.928
C6 C4 H10 123.659 C6 C5 H11 128.928
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.027      
2 C -0.027      
3 C -0.128      
4 C -0.128      
5 C -0.201      
6 C -0.201      
7 H 0.130      
8 H 0.130      
9 H 0.092      
10 H 0.092      
11 H 0.133      
12 H 0.133      


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 -0.980 0.980
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.660 0.000 0.000
y 0.000 -32.612 0.000
z 0.000 0.000 -33.453
Traceless
 xyz
x -4.628 0.000 0.000
y 0.000 2.944 0.000
z 0.000 0.000 1.684
Polar
3z2-r23.367
x2-y2-5.048
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.832 0.000 0.000
y 0.000 9.621 0.000
z 0.000 0.000 9.852


<r2> (average value of r2) Å2
<r2> 110.277
(<r2>)1/2 10.501