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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: PBE1PBE/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 PBE1PBE/cc-pVDZ
 hartrees
Energy at 0K-231.869047
Energy at 298.15K-231.875480
HF Energy-231.869047
Nuclear repulsion energy214.294463
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 PBE1PBE/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 3279 3153 5.41      
2 A1 3244 3119 6.94      
3 A1 3214 3090 0.66      
4 A1 1654 1590 3.99      
5 A1 1439 1384 0.08      
6 A1 1204 1157 2.60      
7 A1 1113 1070 2.56      
8 A1 991 953 0.41      
9 A1 938 902 0.00      
10 A1 770 740 1.83      
11 A1 690 663 7.62      
12 A2 1112 1069 0.00      
13 A2 919 884 0.00      
14 A2 893 859 0.00      
15 A2 810 779 0.00      
16 A2 547 526 0.00      
17 B1 3223 3099 8.80      
18 B1 1129 1086 21.08      
19 B1 993 955 0.28      
20 B1 777 747 88.87      
21 B1 649 624 0.69      
22 B1 514 494 10.40      
23 B2 3252 3127 3.52      
24 B2 3217 3093 20.78      
25 B2 1343 1291 4.36      
26 B2 1280 1231 5.74      
27 B2 1214 1167 1.05      
28 B2 989 951 0.26      
29 B2 866 832 7.62      
30 B2 824 793 10.67      

Unscaled Zero Point Vibrational Energy (zpe) 21542.5 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 20713.1 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 PBE1PBE/cc-pVDZ
ABC
0.24798 0.17617 0.13013

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.725 0.000 -1.007
C2 -0.725 0.000 -1.007
C3 0.000 1.071 -0.202
C4 0.000 -1.071 -0.202
C5 0.000 0.670 1.249
C6 0.000 -0.670 1.249
H7 1.487 0.000 -1.786
H8 -1.487 0.000 -1.786
H9 0.000 2.108 -0.544
H10 0.000 -2.108 -0.544
H11 0.000 1.353 2.096
H12 0.000 -1.353 2.096

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44971.52311.52312.46232.46231.08962.34472.27652.27653.46233.4623
C21.44971.52311.52312.46232.46232.34471.08962.27652.27653.46233.4623
C31.52311.52312.14121.50512.26572.42202.42201.09173.19652.31573.3400
C41.52311.52312.14122.26571.50512.42202.42203.19651.09173.34002.3157
C52.46232.46231.50512.26571.33953.44523.44522.29763.30531.08862.1930
C62.46232.46232.26571.50511.33953.44523.44523.30532.29762.19301.0886
H71.08962.34472.42202.42203.44523.44522.97312.86302.86304.37214.3721
H82.34471.08962.42202.42203.44523.44522.97312.86302.86304.37214.3721
H92.27652.27651.09173.19652.29763.30532.86302.86304.21522.74564.3522
H102.27652.27653.19651.09173.30532.29762.86302.86304.21524.35222.7456
H113.46233.46232.31573.34001.08862.19304.37214.37212.74564.35222.7054
H123.46233.46233.34002.31572.19301.08864.37214.37214.35222.74562.7054

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.582 C1 C2 C4 61.582
C1 C2 H8 134.352 C1 C3 C2 56.837
C1 C3 C5 108.801 C1 C3 H9 120.161
C1 C4 C2 56.837 C1 C4 C6 108.801
C1 C4 H10 120.161 C2 C1 C3 61.582
C2 C1 C4 61.582 C2 C1 H7 134.352
C2 C3 C5 108.801 C2 C3 H9 120.161
C2 C4 C6 108.801 C2 C4 H10 120.161
C3 C1 C4 89.325 C3 C1 H7 135.289
C3 C2 C4 89.325 C3 C2 H8 135.289
C3 C5 C6 105.447 C3 C5 H11 125.698
C4 C1 H7 135.289 C4 C2 H8 135.289
C4 C6 C5 105.447 C4 C6 H12 125.698
C5 C3 H9 123.665 C5 C6 H12 128.856
C6 C4 H10 123.665 C6 C5 H11 128.856
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.009      
2 C 0.009      
3 C -0.049      
4 C -0.049      
5 C 0.029      
6 C 0.029      
7 H 0.008      
8 H 0.008      
9 H 0.002      
10 H 0.002      
11 H 0.001      
12 H 0.001      


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 -0.895 0.895
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.268 0.000 0.000
y 0.000 -32.475 0.000
z 0.000 0.000 -32.851
Traceless
 xyz
x -4.605 0.000 0.000
y 0.000 2.584 0.000
z 0.000 0.000 2.021
Polar
3z2-r24.041
x2-y2-4.793
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.103 0.000 0.000
y 0.000 8.966 0.000
z 0.000 0.000 8.836


<r2> (average value of r2) Å2
<r2> 110.899
(<r2>)1/2 10.531