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

using model chemistry: PBEPBEultrafine/daug-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 PBEPBEultrafine/daug-cc-pVDZ
 hartrees
Energy at 0K-231.840544
Energy at 298.15K 
HF Energy-231.840544
Nuclear repulsion energy207.341902
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 PBEPBEultrafine/daug-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 3141 3141 9.81 367.10 0.03 0.06
2 A1 3036 3036 29.32 193.35 0.11 0.19
3 A1 1578 1578 0.13 72.89 0.01 0.02
4 A1 1138 1138 4.75 31.15 0.09 0.17
5 A1 989 989 1.85 8.95 0.60 0.75
6 A1 925 925 2.41 11.73 0.25 0.40
7 A1 845 845 0.43 4.38 0.39 0.56
8 A1 778 778 80.83 2.91 0.01 0.03
9 A1 373 373 5.28 5.48 0.54 0.70
10 A2 3106 3106 0.00 205.46 0.75 0.86
11 A2 1237 1237 0.00 8.21 0.75 0.86
12 A2 1147 1147 0.00 10.39 0.75 0.86
13 A2 933 933 0.00 1.15 0.75 0.86
14 A2 870 870 0.00 1.17 0.75 0.86
15 A2 757 757 0.00 1.22 0.75 0.86
16 A2 325 325 0.00 0.76 0.75 0.86
17 B1 3138 3138 44.94 79.61 0.75 0.86
18 B1 1551 1551 16.09 0.25 0.75 0.86
19 B1 1150 1150 0.96 2.40 0.75 0.86
20 B1 1064 1064 0.22 0.00 0.75 0.86
21 B1 977 977 0.01 6.28 0.75 0.86
22 B1 681 681 47.09 1.65 0.75 0.86
23 B2 3108 3108 30.20 52.93 0.75 0.86
24 B2 3030 3030 15.62 138.55 0.75 0.86
25 B2 1247 1247 37.46 0.00 0.75 0.86
26 B2 1106 1106 6.32 0.12 0.75 0.86
27 B2 908 908 4.78 0.43 0.75 0.86
28 B2 891 891 4.96 0.94 0.75 0.86
29 B2 799 799 12.26 0.20 0.75 0.86
30 B2 464 464 4.04 2.55 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 20645.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 20645.5 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 PBEPBEultrafine/daug-cc-pVDZ
ABC
0.25773 0.14766 0.11482

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.791 0.524
C2 0.000 -0.791 0.524
H3 0.000 1.358 1.471
H4 0.000 -1.358 1.471
C5 -1.309 0.677 -0.265
C6 1.309 0.677 -0.265
C7 1.309 -0.677 -0.265
C8 -1.309 -0.677 -0.265
H9 -1.962 1.436 -0.715
H10 1.962 1.436 -0.715
H11 1.962 -1.436 -0.715
H12 -1.962 -1.436 -0.715

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.58151.10432.34841.53281.53282.11902.11902.40812.40813.21583.2158
C21.58152.34841.10432.11902.11901.53281.53283.21583.21582.40812.4081
H31.10432.34842.71602.27892.27892.97822.97822.93822.93824.05394.0539
H42.34841.10432.71602.97822.97822.27892.27894.05394.05392.93822.9382
C51.53282.11902.27892.97822.61842.94761.35361.09753.38803.92002.2566
C61.53282.11902.27892.97822.61841.35362.94763.38801.09752.25663.9200
C72.11901.53282.97822.27892.94761.35362.61843.92002.25661.09753.3880
C82.11901.53282.97822.27891.35362.94762.61842.25663.92003.38801.0975
H92.40813.21582.93824.05391.09753.38803.92002.25663.92374.86262.8722
H102.40813.21582.93824.05393.38801.09752.25663.92003.92372.87224.8626
H113.21582.40814.05392.93823.92002.25661.09753.38804.86262.87223.9237
H123.21582.40814.05392.93822.25663.92003.38801.09752.87224.86263.9237

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 120.907 C1 C2 H7 85.736
C1 C2 H8 85.736 C1 C5 H8 94.264
C1 C5 H9 131.859 C1 C6 H7 94.264
C1 C6 H10 131.859 C2 C1 C3 120.907
C2 C1 C5 85.736 C2 C1 C6 85.736
C2 H7 C6 94.264 C2 H7 H11 131.859
C2 H8 C5 94.264 C2 H8 H12 131.859
C3 C1 C5 118.673 C3 C1 C6 118.673
C4 C2 H7 118.673 C4 C2 H8 118.673
C5 C1 C6 117.327 C5 H8 H12 133.775
C6 H7 H11 133.775 H7 C6 H10 133.775
H8 C5 H9 133.775
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.694      
2 C 0.694      
3 H -0.846      
4 H -0.846      
5 C 0.686      
6 C 0.686      
7 C 0.686      
8 C 0.686      
9 H -0.610      
10 H -0.610      
11 H -0.610      
12 H -0.610      


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 -36.378 0.000 0.000
y 0.000 -33.374 0.000
z 0.000 0.000 -36.677
Traceless
 xyz
x -1.352 0.000 0.000
y 0.000 3.154 0.000
z 0.000 0.000 -1.802
Polar
3z2-r2-3.603
x2-y2-3.004
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.185 0.000 0.000
y 0.000 10.799 0.000
z 0.000 0.000 8.310


<r2> (average value of r2) Å2
<r2> 120.476
(<r2>)1/2 10.976