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

using model chemistry: PBEPBE/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-231.888816
Energy at 298.15K 
HF Energy-231.888816
Nuclear repulsion energy208.300228
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/cc-pVTZ
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 3132 3111 9.27 336.35 0.04 0.07
2 A1 3031 3011 28.10 176.19 0.11 0.21
3 A1 1581 1570 0.06 39.32 0.03 0.06
4 A1 1141 1133 4.83 22.32 0.15 0.26
5 A1 995 989 2.53 10.78 0.72 0.84
6 A1 923 917 2.98 10.59 0.23 0.38
7 A1 851 845 0.31 5.01 0.65 0.79
8 A1 790 785 72.90 4.42 0.06 0.12
9 A1 377 374 4.40 9.56 0.59 0.74
10 A2 3098 3077 0.00 200.45 0.75 0.86
11 A2 1240 1232 0.00 5.51 0.75 0.86
12 A2 1151 1143 0.00 13.03 0.75 0.86
13 A2 933 926 0.00 0.70 0.75 0.86
14 A2 896 890 0.00 0.63 0.75 0.86
15 A2 765 759 0.00 1.87 0.75 0.86
16 A2 330 328 0.00 1.63 0.75 0.86
17 B1 3129 3108 46.08 81.12 0.75 0.86
18 B1 1554 1544 12.42 1.64 0.75 0.86
19 B1 1150 1142 0.72 2.69 0.75 0.86
20 B1 1067 1059 0.21 0.02 0.75 0.86
21 B1 975 968 0.01 6.55 0.75 0.86
22 B1 696 691 44.79 3.87 0.75 0.86
23 B2 3100 3079 30.84 50.87 0.75 0.86
24 B2 3025 3004 14.66 136.29 0.75 0.86
25 B2 1254 1246 37.61 0.03 0.75 0.86
26 B2 1117 1109 5.65 0.49 0.75 0.86
27 B2 930 923 3.12 0.30 0.75 0.86
28 B2 901 895 6.87 0.42 0.75 0.86
29 B2 806 801 11.54 1.20 0.75 0.86
30 B2 469 466 4.64 4.32 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 20703.7 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 20560.9 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/cc-pVTZ
ABC
0.26055 0.14871 0.11579

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.788 0.522
C2 0.000 -0.788 0.522
H3 0.000 1.352 1.463
H4 0.000 -1.352 1.463
C5 -1.305 0.672 -0.264
C6 1.305 0.672 -0.264
C7 1.305 -0.672 -0.264
C8 -1.305 -0.672 -0.264
H9 -1.953 1.427 -0.711
H10 1.953 1.427 -0.711
H11 1.953 -1.427 -0.711
H12 -1.953 -1.427 -0.711

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57611.09712.33811.52801.52802.11012.11012.39602.39603.19983.1998
C21.57612.33811.09712.11012.11011.52801.52803.19983.19982.39602.3960
H31.09712.33812.70502.26912.26912.96372.96372.92272.92274.03254.0325
H42.33811.09712.70502.96372.96372.26912.26914.03254.03252.92272.9227
C51.52802.11012.26912.96372.61002.93561.34361.09043.37393.90102.2413
C61.52802.11012.26912.96372.61001.34362.93563.37391.09042.24133.9010
C72.11011.52802.96372.26912.93561.34362.61003.90102.24131.09043.3739
C82.11011.52802.96372.26911.34362.93562.61002.24133.90103.37391.0904
H92.39603.19982.92274.03251.09043.37393.90102.24133.90584.83732.8537
H102.39603.19982.92274.03253.37391.09042.24133.90103.90582.85374.8373
H113.19982.39604.03252.92273.90102.24131.09043.37394.83732.85373.9058
H123.19982.39604.03252.92272.24133.90103.37391.09042.85374.83733.9058

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 120.963 C1 C2 H7 85.637
C1 C2 H8 85.637 C1 C5 H8 94.363
C1 C5 H9 131.710 C1 C6 H7 94.363
C1 C6 H10 131.710 C2 C1 C3 120.963
C2 C1 C5 85.637 C2 C1 C6 85.637
C2 H7 C6 94.363 C2 H7 H11 131.710
C2 H8 C5 94.363 C2 H8 H12 131.710
C3 C1 C5 118.709 C3 C1 C6 118.709
C4 C2 H7 118.709 C4 C2 H8 118.709
C5 C1 C6 117.317 C5 H8 H12 133.825
C6 H7 H11 133.825 H7 C6 H10 133.825
H8 C5 H9 133.825
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.007      
2 C -0.007      
3 H 0.074      
4 H 0.074      
5 C -0.126      
6 C -0.126      
7 C -0.126      
8 C -0.126      
9 H 0.093      
10 H 0.093      
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 -0.001 0.001
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.813 0.000 0.000
y 0.000 -33.123 0.000
z 0.000 0.000 -36.228
Traceless
 xyz
x -1.138 0.000 0.000
y 0.000 2.898 0.000
z 0.000 0.000 -1.760
Polar
3z2-r2-3.520
x2-y2-2.690
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.082 0.000 0.000
y 0.000 10.215 0.000
z 0.000 0.000 7.176


<r2> (average value of r2) Å2
<r2> 119.353
(<r2>)1/2 10.925