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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G
 hartrees
Energy at 0K-231.791095
Energy at 298.15K 
HF Energy-231.791095
Nuclear repulsion energy207.979827
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/6-31G
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 3291 3148 6.77 263.12 0.03 0.06
2 A1 3173 3035 28.66 136.86 0.16 0.27
3 A1 1650 1579 0.16 27.40 0.07 0.12
4 A1 1195 1143 5.29 20.65 0.21 0.34
5 A1 1061 1015 2.83 14.91 0.75 0.86
6 A1 967 925 10.97 11.59 0.27 0.42
7 A1 881 843 0.08 6.99 0.75 0.86
8 A1 841 804 89.99 7.35 0.09 0.16
9 A1 402 385 4.84 12.81 0.63 0.77
10 A2 3250 3109 0.00 156.69 0.75 0.86
11 A2 1312 1255 0.00 3.82 0.75 0.86
12 A2 1236 1183 0.00 14.91 0.75 0.86
13 A2 979 936 0.00 0.10 0.75 0.86
14 A2 962 920 0.00 0.43 0.75 0.86
15 A2 805 770 0.00 4.42 0.75 0.86
16 A2 346 331 0.00 3.07 0.75 0.86
17 B1 3286 3144 43.88 54.01 0.75 0.86
18 B1 1622 1552 6.61 2.63 0.75 0.86
19 B1 1232 1179 0.13 3.91 0.75 0.86
20 B1 1124 1075 0.53 0.03 0.75 0.86
21 B1 1029 985 0.12 9.12 0.75 0.86
22 B1 756 723 56.75 4.79 0.75 0.86
23 B2 3251 3110 21.11 40.39 0.75 0.86
24 B2 3163 3026 14.09 120.07 0.75 0.86
25 B2 1324 1266 35.04 0.00 0.75 0.86
26 B2 1188 1137 11.37 0.81 0.75 0.86
27 B2 995 952 2.87 0.98 0.75 0.86
28 B2 959 917 6.63 0.20 0.75 0.86
29 B2 853 816 10.92 2.31 0.75 0.86
30 B2 502 480 6.08 7.36 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21818.5 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 20871.6 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 HSEh1PBE/6-31G
ABC
0.25897 0.14837 0.11548

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.793 0.527
C2 0.000 -0.793 0.527
H3 0.000 1.362 1.457
H4 0.000 -1.362 1.457
C5 -1.306 0.673 -0.267
C6 1.306 0.673 -0.267
C7 1.306 -0.673 -0.267
C8 -1.306 -0.673 -0.267
H9 -1.950 1.423 -0.708
H10 1.950 1.423 -0.708
H11 1.950 -1.423 -0.708
H12 -1.950 -1.423 -0.708

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.58621.09062.34721.53311.53312.11772.11772.39242.39243.19973.1997
C21.58622.34721.09062.11772.11771.53311.53313.19973.19972.39242.3924
H31.09062.34722.72362.26992.26992.96952.96952.91452.91454.03064.0306
H42.34721.09062.72362.96952.96952.26992.26994.03064.03062.91452.9145
C51.53312.11772.26992.96952.61282.93901.34571.08263.37083.89772.2365
C61.53312.11772.26992.96952.61281.34572.93903.37081.08262.23653.8977
C72.11771.53312.96952.26992.93901.34572.61283.89772.23651.08263.3708
C82.11771.53312.96952.26991.34572.93902.61282.23653.89773.37081.0826
H92.39243.19972.91454.03061.08263.37083.89772.23653.90014.82822.8461
H102.39243.19972.91454.03063.37081.08262.23653.89773.90012.84614.8282
H113.19972.39244.03062.91453.89772.23651.08263.37084.82822.84613.9001
H123.19972.39244.03062.91452.23653.89773.37081.08262.84614.82823.9001

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 121.432 C1 C2 H7 85.501
C1 C2 H8 85.501 C1 C5 H8 94.499
C1 C5 H9 131.548 C1 C6 H7 94.499
C1 C6 H10 131.548 C2 C1 C3 121.432
C2 C1 C5 85.501 C2 C1 C6 85.501
C2 H7 C6 94.499 C2 H7 H11 131.548
C2 H8 C5 94.499 C2 H8 H12 131.548
C3 C1 C5 118.840 C3 C1 C6 118.840
C4 C2 H7 118.840 C4 C2 H8 118.840
C5 C1 C6 116.895 C5 H8 H12 133.868
C6 H7 H11 133.868 H7 C6 H10 133.868
H8 C5 H9 133.868
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.296      
2 C -0.296      
3 H 0.178      
4 H 0.178      
5 C -0.106      
6 C -0.106      
7 C -0.106      
8 C -0.106      
9 H 0.165      
10 H 0.165      
11 H 0.165      
12 H 0.165      


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 -0.019 0.019
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.897 0.000 0.000
y 0.000 -32.634 0.000
z 0.000 0.000 -35.670
Traceless
 xyz
x -0.745 0.000 0.000
y 0.000 2.650 0.000
z 0.000 0.000 -1.905
Polar
3z2-r2-3.810
x2-y2-2.263
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.109 0.000 0.000
y 0.000 9.228 0.000
z 0.000 0.000 5.498


<r2> (average value of r2) Å2
<r2> 119.165
(<r2>)1/2 10.916