return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: B3LYP/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 B3LYP/6-31G
 hartrees
Energy at 0K-232.049813
Energy at 298.15K 
HF Energy-232.049813
Nuclear repulsion energy207.119549
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 B3LYP/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 3260 3136 8.14 270.29 0.03 0.06
2 A1 3142 3023 36.45 138.52 0.16 0.28
3 A1 1630 1568 0.05 26.37 0.06 0.12
4 A1 1181 1136 4.06 21.09 0.24 0.39
5 A1 1053 1013 3.40 16.43 0.75 0.86
6 A1 946 910 12.14 12.21 0.27 0.42
7 A1 854 822 0.14 7.15 0.75 0.86
8 A1 827 795 77.27 7.72 0.08 0.15
9 A1 398 383 4.06 13.53 0.64 0.78
10 A2 3220 3097 0.00 164.89 0.75 0.86
11 A2 1300 1251 0.00 2.67 0.75 0.86
12 A2 1233 1186 0.00 16.31 0.75 0.86
13 A2 962 926 0.00 0.03 0.75 0.86
14 A2 944 908 0.00 0.58 0.75 0.86
15 A2 801 771 0.00 4.87 0.75 0.86
16 A2 346 333 0.00 3.04 0.75 0.86
17 B1 3255 3132 50.59 56.09 0.75 0.86
18 B1 1603 1542 8.00 2.59 0.75 0.86
19 B1 1226 1180 0.55 4.88 0.75 0.86
20 B1 1114 1072 0.17 0.46 0.75 0.86
21 B1 1004 965 0.58 9.27 0.75 0.86
22 B1 745 717 49.63 5.06 0.75 0.86
23 B2 3222 3099 26.07 42.72 0.75 0.86
24 B2 3133 3014 17.27 122.04 0.75 0.86
25 B2 1316 1266 31.99 0.02 0.75 0.86
26 B2 1180 1135 9.59 0.96 0.75 0.86
27 B2 983 946 4.04 0.64 0.75 0.86
28 B2 957 921 4.96 0.14 0.75 0.86
29 B2 836 804 8.53 2.73 0.75 0.86
30 B2 499 480 6.11 7.56 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21584.0 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 20763.8 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 B3LYP/6-31G
ABC
0.25766 0.14670 0.11424

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.798 0.527
C2 0.000 -0.798 0.527
H3 0.000 1.370 1.457
H4 0.000 -1.370 1.457
C5 -1.315 0.674 -0.267
C6 1.315 0.674 -0.267
C7 1.315 -0.674 -0.267
C8 -1.315 -0.674 -0.267
H9 -1.961 1.423 -0.708
H10 1.961 1.423 -0.708
H11 1.961 -1.423 -0.708
H12 -1.961 -1.423 -0.708

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.59681.09112.35891.54131.54132.12782.12782.40042.40043.21053.2105
C21.59682.35891.09112.12782.12781.54131.54133.21053.21052.40042.4004
H31.09112.35892.73912.27712.27712.97932.97932.92152.92154.04124.0412
H42.35891.09112.73912.97932.97932.27712.27714.04124.04122.92152.9215
C51.54132.12782.27712.97932.63032.95541.34761.08323.38993.91502.2381
C61.54132.12782.27712.97932.63031.34762.95543.38991.08322.23813.9150
C72.12781.54132.97932.27712.95541.34762.63033.91502.23811.08323.3899
C82.12781.54132.97932.27711.34762.95542.63032.23813.91503.38991.0832
H92.40043.21052.92154.04121.08323.38993.91502.23813.92264.84652.8464
H102.40043.21052.92154.04123.38991.08322.23813.91503.92262.84644.8465
H113.21052.40044.04122.92153.91502.23811.08323.38994.84652.84643.9226
H123.21052.40044.04122.92152.23813.91503.38991.08322.84644.84653.9226

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 121.565 C1 C2 H7 85.364
C1 C2 H8 85.364 C1 C5 H8 94.636
C1 C5 H9 131.508 C1 C6 H7 94.636
C1 C6 H10 131.508 C2 C1 C3 121.565
C2 C1 C5 85.364 C2 C1 C6 85.364
C2 H7 C6 94.636 C2 H7 H11 131.508
C2 H8 C5 94.636 C2 H8 H12 131.508
C3 C1 C5 118.769 C3 C1 C6 118.769
C4 C2 H7 118.769 C4 C2 H8 118.769
C5 C1 C6 117.135 C5 H8 H12 133.771
C6 H7 H11 133.771 H7 C6 H10 133.771
H8 C5 H9 133.771
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.239      
2 C -0.239      
3 H 0.140      
4 H 0.140      
5 C -0.080      
6 C -0.080      
7 C -0.080      
8 C -0.080      
9 H 0.130      
10 H 0.130      
11 H 0.130      
12 H 0.130      


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 -35.024 0.000 0.000
y 0.000 -32.911 0.000
z 0.000 0.000 -35.757
Traceless
 xyz
x -0.691 0.000 0.000
y 0.000 2.480 0.000
z 0.000 0.000 -1.789
Polar
3z2-r2-3.578
x2-y2-2.114
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.211 0.000 0.000
y 0.000 9.279 0.000
z 0.000 0.000 5.513


<r2> (average value of r2) Å2
<r2> 120.179
(<r2>)1/2 10.963