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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-231.829461
Energy at 298.15K-231.835701
HF Energy-231.829461
Nuclear repulsion energy213.150800
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 3196 3152 9.05      
2 A1 3158 3115 14.33      
3 A1 3133 3090 0.25      
4 A1 1591 1569 3.58      
5 A1 1390 1371 0.07      
6 A1 1180 1163 1.44      
7 A1 1089 1074 1.70      
8 A1 970 957 0.34      
9 A1 899 887 0.01      
10 A1 751 741 1.77      
11 A1 674 665 6.25      
12 A2 1085 1070 0.00      
13 A2 882 870 0.00      
14 A2 847 836 0.00      
15 A2 765 754 0.00      
16 A2 528 521 0.00      
17 B1 3137 3094 18.99      
18 B1 1092 1077 22.67      
19 B1 965 952 0.06      
20 B1 749 739 73.57      
21 B1 615 606 0.57      
22 B1 501 494 10.15      
23 B2 3171 3128 6.02      
24 B2 3136 3093 26.22      
25 B2 1308 1290 4.21      
26 B2 1241 1224 2.92      
27 B2 1186 1170 2.03      
28 B2 968 955 0.13      
29 B2 845 833 5.29      
30 B2 802 791 9.23      

Unscaled Zero Point Vibrational Energy (zpe) 20927.0 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 20640.3 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
0.24545 0.17414 0.12861

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 0.728 0.000 -1.016
C2 -0.728 0.000 -1.016
C3 0.000 1.077 -0.202
C4 0.000 -1.077 -0.202
C5 0.000 0.674 1.256
C6 0.000 -0.674 1.256
H7 1.493 0.000 -1.794
H8 -1.493 0.000 -1.794
H9 0.000 2.115 -0.543
H10 0.000 -2.115 -0.543
H11 0.000 1.361 2.103
H12 0.000 -1.361 2.103

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45541.53341.53342.47912.47911.09132.35312.28632.28633.47973.4797
C21.45541.53341.53342.47912.47912.35311.09132.28632.28633.47973.4797
C31.53341.53342.15301.51232.27832.43372.43371.09353.21002.32223.3543
C41.53341.53342.15302.27831.51232.43372.43373.21001.09353.35432.3222
C52.47912.47911.51232.27831.34863.46213.46212.30533.31961.09002.2041
C62.47912.47912.27831.51231.34863.46213.46213.31962.30532.20411.0900
H71.09132.35312.43372.43373.46213.46212.98612.87522.87524.38934.3893
H82.35311.09132.43372.43373.46213.46212.98612.87522.87524.38934.3893
H92.28632.28631.09353.21002.30533.31962.87522.87524.23052.75204.3686
H102.28632.28633.21001.09353.31962.30532.87522.87524.23054.36862.7520
H113.47973.47972.32223.35431.09002.20414.38934.38932.75204.36862.7210
H123.47973.47973.35432.32222.20411.09004.38934.38934.36862.75202.7210

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.668 C1 C2 C4 61.668
C1 C2 H8 134.531 C1 C3 C2 56.664
C1 C3 C5 108.972 C1 C3 H9 120.063
C1 C4 C2 56.664 C1 C4 C6 108.972
C1 C4 H10 120.063 C2 C1 C3 61.668
C2 C1 C4 61.668 C2 C1 H7 134.531
C2 C3 C5 108.972 C2 C3 H9 120.063
C2 C4 C6 108.972 C2 C4 H10 120.063
C3 C1 C4 89.183 C3 C1 H7 135.342
C3 C2 C4 89.183 C3 C2 H8 135.342
C3 C5 C6 105.424 C3 C5 H11 125.562
C4 C1 H7 135.342 C4 C2 H8 135.342
C4 C6 C5 105.424 C4 C6 H12 125.562
C5 C3 H9 123.635 C5 C6 H12 129.014
C6 C4 H10 123.635 C6 C5 H11 129.014
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 -0.054      
2 C -0.054      
3 C -0.194      
4 C -0.194      
5 C -0.047      
6 C -0.047      
7 H 0.102      
8 H 0.102      
9 H 0.101      
10 H 0.101      
11 H 0.093      
12 H 0.093      


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 -0.875 0.875
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.768 0.000 0.000
y 0.000 -32.269 0.000
z 0.000 0.000 -32.431
Traceless
 xyz
x -4.417 0.000 0.000
y 0.000 2.330 0.000
z 0.000 0.000 2.087
Polar
3z2-r24.174
x2-y2-4.499
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.804 0.000 0.000
y 0.000 8.775 0.000
z 0.000 0.000 8.809


<r2> (average value of r2) Å2
<r2> 111.629
(<r2>)1/2 10.565