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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: B3PW91/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 B3PW91/cc-pVDZ
 hartrees
Energy at 0K-232.058409
Energy at 298.15K-232.064805
HF Energy-232.058409
Nuclear repulsion energy213.941869
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 B3PW91/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 3263 3149 6.62      
2 A1 3226 3113 9.07      
3 A1 3199 3087 0.47      
4 A1 1639 1581 4.30      
5 A1 1425 1375 0.11      
6 A1 1196 1154 2.57      
7 A1 1107 1069 2.51      
8 A1 986 952 0.36      
9 A1 925 893 0.00      
10 A1 764 737 1.89      
11 A1 687 663 7.08      
12 A2 1106 1068 0.00      
13 A2 914 882 0.00      
14 A2 889 858 0.00      
15 A2 794 766 0.00      
16 A2 543 524 0.00      
17 B1 3205 3093 11.20      
18 B1 1120 1081 21.52      
19 B1 989 954 0.25      
20 B1 768 741 87.09      
21 B1 642 619 0.25      
22 B1 511 493 9.88      
23 B2 3236 3123 4.71      
24 B2 3202 3090 23.06      
25 B2 1335 1288 4.57      
26 B2 1269 1224 4.66      
27 B2 1208 1165 1.36      
28 B2 982 948 0.29      
29 B2 860 830 6.36      
30 B2 820 792 11.30      

Unscaled Zero Point Vibrational Energy (zpe) 21403.7 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 20654.6 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 B3PW91/cc-pVDZ
ABC
0.24714 0.17560 0.12965

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.726 0.000 -1.010
C2 -0.726 0.000 -1.010
C3 0.000 1.073 -0.202
C4 0.000 -1.073 -0.202
C5 0.000 0.671 1.251
C6 0.000 -0.671 1.251
H7 1.487 0.000 -1.790
H8 -1.487 0.000 -1.790
H9 0.000 2.111 -0.543
H10 0.000 -2.111 -0.543
H11 0.000 1.354 2.099
H12 0.000 -1.354 2.099

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45111.52681.52682.46692.46691.09022.34632.28032.28033.46713.4671
C21.45111.52681.52682.46692.46692.34631.09022.28032.28033.46713.4671
C31.52681.52682.14661.50732.26962.42592.42591.09203.20222.31753.3441
C41.52681.52682.14662.26961.50732.42592.42593.20221.09203.34412.3175
C52.46692.46691.50732.26961.34133.45033.45032.29993.30941.08902.1950
C62.46692.46692.26961.50731.34133.45033.45033.30942.29992.19501.0890
H71.09022.34632.42592.42593.45033.45032.97472.86742.86744.37754.3775
H82.34631.09022.42592.42593.45033.45032.97472.86742.86744.37754.3775
H92.28032.28031.09203.20222.29993.30942.86742.86744.22142.74764.3566
H102.28032.28033.20221.09203.30942.29992.86742.86744.22144.35662.7476
H113.46713.46712.31753.34411.08902.19504.37754.37752.74764.35662.7078
H123.46713.46713.34412.31752.19501.08904.37754.37754.35662.74762.7078

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.625 C1 C2 C4 61.625
C1 C2 H8 134.328 C1 C3 C2 56.749
C1 C3 C5 108.791 C1 C3 H9 120.179
C1 C4 C2 56.749 C1 C4 C6 108.791
C1 C4 H10 120.179 C2 C1 C3 61.625
C2 C1 C4 61.625 C2 C1 H7 134.328
C2 C3 C5 108.791 C2 C3 H9 120.179
C2 C4 C6 108.791 C2 C4 H10 120.179
C3 C1 C4 89.333 C3 C1 H7 135.282
C3 C2 C4 89.333 C3 C2 H8 135.282
C3 C5 C6 105.493 C3 C5 H11 125.647
C4 C1 H7 135.282 C4 C2 H8 135.282
C4 C6 C5 105.493 C4 C6 H12 125.647
C5 C3 H9 123.682 C5 C6 H12 128.860
C6 C4 H10 123.682 C6 C5 H11 128.860
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.008      
2 C 0.008      
3 C -0.041      
4 C -0.041      
5 C 0.027      
6 C 0.027      
7 H 0.006      
8 H 0.006      
9 H 0.001      
10 H 0.001      
11 H -0.000      
12 H -0.000      


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 -0.893 0.893
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.176 0.000 0.000
y 0.000 -32.430 0.000
z 0.000 0.000 -32.809
Traceless
 xyz
x -4.556 0.000 0.000
y 0.000 2.562 0.000
z 0.000 0.000 1.994
Polar
3z2-r23.988
x2-y2-4.745
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.120 0.000 0.000
y 0.000 9.000 0.000
z 0.000 0.000 8.895


<r2> (average value of r2) Å2
<r2> 111.155
(<r2>)1/2 10.543