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All results from a given calculation for C6H6 (Dewar Benzene)

using model chemistry: HSEh1PBE/STO-3G

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/STO-3G
 hartrees
Energy at 0K-229.062362
Energy at 298.15K 
HF Energy-229.062362
Nuclear repulsion energy207.402974
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/STO-3G
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 3543 3129 0.09 117.99 0.03 0.06
2 A1 3453 3049 0.09 61.27 0.18 0.31
3 A1 1798 1588 0.10 17.27 0.05 0.09
4 A1 1322 1168 1.62 10.51 0.40 0.57
5 A1 1140 1007 0.51 15.74 0.55 0.71
6 A1 1055 932 3.61 19.34 0.44 0.61
7 A1 975 861 0.07 6.33 0.58 0.73
8 A1 872 770 38.60 3.24 0.33 0.50
9 A1 411 363 1.00 6.67 0.66 0.79
10 A2 3494 3085 0.00 81.45 0.75 0.86
11 A2 1433 1265 0.00 7.19 0.75 0.86
12 A2 1298 1146 0.00 10.17 0.75 0.86
13 A2 1058 935 0.00 0.04 0.75 0.86
14 A2 1000 884 0.00 0.07 0.75 0.86
15 A2 860 759 0.00 6.17 0.75 0.86
16 A2 363 320 0.00 1.67 0.75 0.86
17 B1 3541 3127 0.14 23.47 0.75 0.86
18 B1 1771 1564 0.66 0.88 0.75 0.86
19 B1 1332 1176 0.88 2.64 0.75 0.86
20 B1 1186 1047 2.45 0.68 0.75 0.86
21 B1 1103 974 0.62 12.70 0.75 0.86
22 B1 785 694 24.37 2.93 0.75 0.86
23 B2 3495 3086 22.14 16.21 0.75 0.86
24 B2 3441 3039 0.08 62.65 0.75 0.86
25 B2 1418 1252 33.73 0.03 0.75 0.86
26 B2 1262 1114 3.24 0.68 0.75 0.86
27 B2 1033 912 6.84 1.08 0.75 0.86
28 B2 1019 900 1.79 0.01 0.75 0.86
29 B2 929 820 1.10 2.10 0.75 0.86
30 B2 546 482 3.71 4.64 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 23467.0 cm-1
Scaled (by 0.8831) Zero Point Vibrational Energy (zpe) 20723.7 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/STO-3G
ABC
0.25707 0.14747 0.11545

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.790 0.538
C2 0.000 -0.790 0.538
H3 0.000 1.376 1.471
H4 0.000 -1.376 1.471
C5 -1.307 0.670 -0.272
C6 1.307 0.670 -0.272
C7 1.307 -0.670 -0.272
C8 -1.307 -0.670 -0.272
H9 -1.953 1.434 -0.719
H10 1.953 1.434 -0.719
H11 1.953 -1.434 -0.719
H12 -1.953 -1.434 -0.719

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57971.10142.35791.54221.54222.12042.12042.40972.40973.21503.2150
C21.57972.35791.10142.12042.12041.54221.54223.21503.21502.40972.4097
H31.10142.35792.75152.28952.28952.98852.98852.93432.93434.06194.0619
H42.35791.10142.75152.98852.98852.28952.28954.06194.06192.93432.9343
C51.54222.12042.28952.98852.61422.93791.34071.09513.37763.90542.2457
C61.54222.12042.28952.98852.61421.34072.93793.37761.09512.24573.9054
C72.12041.54222.98852.28952.93791.34072.61423.90542.24571.09513.3776
C82.12041.54222.98852.28951.34072.93792.61422.24573.90543.37761.0951
H92.40973.21502.93434.06191.09513.37763.90542.24573.90524.84472.8672
H102.40973.21502.93434.06193.37761.09512.24573.90543.90522.86724.8447
H113.21502.40974.06192.93433.90542.24571.09513.37764.84472.86723.9052
H123.21502.40974.06192.93432.24573.90543.37761.09512.86724.84473.9052

picture of Dewar Benzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 122.138 C1 C2 H7 85.556
C1 C2 H8 85.556 C1 C5 H8 94.444
C1 C5 H9 131.297 C1 C6 H7 94.444
C1 C6 H10 131.297 C2 C1 C3 122.138
C2 C1 C5 85.556 C2 C1 C6 85.556
C2 H7 C6 94.444 C2 H7 H11 131.297
C2 H8 C5 94.444 C2 H8 H12 131.297
C3 C1 C5 119.066 C3 C1 C6 119.066
C4 C2 H7 119.066 C4 C2 H8 119.066
C5 C1 C6 115.891 C5 H8 H12 134.187
C6 H7 H11 134.187 H7 C6 H10 134.187
H8 C5 H9 134.187
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.068      
2 C -0.068      
3 H 0.083      
4 H 0.083      
5 C -0.088      
6 C -0.088      
7 C -0.088      
8 C -0.088      
9 H 0.081      
10 H 0.081      
11 H 0.081      
12 H 0.081      


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 0.048 0.048
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.522 0.000 0.000
y 0.000 -31.355 0.000
z 0.000 0.000 -32.848
Traceless
 xyz
x -0.420 0.000 0.000
y 0.000 1.330 0.000
z 0.000 0.000 -0.909
Polar
3z2-r2-1.819
x2-y2-1.166
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.665 0.000 0.000
y 0.000 5.569 0.000
z 0.000 0.000 2.822


<r2> (average value of r2) Å2
<r2> 118.307
(<r2>)1/2 10.877