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

using model chemistry: B97D3/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B97D3/TZVP
 hartrees
Energy at 0K-232.030876
Energy at 298.15K 
HF Energy-232.030876
Nuclear repulsion energy208.077650
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 B97D3/TZVP
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 3153 3107 10.69 327.10 0.03 0.07
2 A1 3056 3012 36.30 171.58 0.12 0.22
3 A1 1584 1561 0.08 45.50 0.02 0.05
4 A1 1148 1132 4.48 25.50 0.14 0.24
5 A1 1005 991 3.03 9.18 0.72 0.84
6 A1 917 903 4.64 9.66 0.21 0.35
7 A1 843 831 0.27 4.72 0.71 0.83
8 A1 790 779 77.75 6.27 0.05 0.09
9 A1 381 376 5.20 8.54 0.57 0.73
10 A2 3119 3074 0.00 192.43 0.75 0.86
11 A2 1248 1230 0.00 4.70 0.75 0.86
12 A2 1172 1155 0.00 12.67 0.75 0.86
13 A2 927 913 0.00 0.79 0.75 0.86
14 A2 896 883 0.00 1.45 0.75 0.86
15 A2 786 775 0.00 2.70 0.75 0.86
16 A2 334 329 0.00 1.72 0.75 0.86
17 B1 3149 3104 53.18 73.29 0.75 0.86
18 B1 1558 1536 15.15 0.98 0.75 0.86
19 B1 1168 1152 1.23 2.96 0.75 0.86
20 B1 1073 1058 0.29 0.18 0.75 0.86
21 B1 970 956 0.22 6.47 0.75 0.86
22 B1 695 685 49.01 3.07 0.75 0.86
23 B2 3121 3076 36.28 51.87 0.75 0.86
24 B2 3050 3006 19.22 134.09 0.75 0.86
25 B2 1266 1248 37.64 0.04 0.75 0.86
26 B2 1129 1113 6.66 0.32 0.75 0.86
27 B2 940 926 7.20 0.11 0.75 0.86
28 B2 918 905 0.92 0.96 0.75 0.86
29 B2 806 795 12.33 1.06 0.75 0.86
30 B2 476 469 4.61 3.77 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 20838.7 cm-1
Scaled (by 0.9856) Zero Point Vibrational Energy (zpe) 20538.6 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 B97D3/TZVP
ABC
0.26019 0.14816 0.11543

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.791 0.523
C2 0.000 -0.791 0.523
H3 0.000 1.354 1.461
H4 0.000 -1.354 1.461
C5 -1.308 0.671 -0.265
C6 1.308 0.671 -0.265
C7 1.308 -0.671 -0.265
C8 -1.308 -0.671 -0.265
H9 -1.953 1.424 -0.711
H10 1.953 1.424 -0.711
H11 1.953 -1.424 -0.711
H12 -1.953 -1.424 -0.711

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.58211.09342.34061.53171.53172.11432.11432.39552.39553.20063.2006
C21.58212.34061.09342.11432.11431.53171.53173.20063.20062.39552.3955
H31.09342.34062.70712.27012.27012.96452.96452.92162.92164.03064.0306
H42.34061.09342.70712.96452.96452.27012.27014.03064.03062.92162.9216
C51.53172.11432.27012.96452.61622.94071.34281.08703.37663.90202.2374
C61.53172.11432.27012.96452.61621.34282.94073.37661.08702.23743.9020
C72.11431.53172.96452.27012.94071.34282.61623.90202.23741.08703.3766
C82.11431.53172.96452.27011.34282.94072.61622.23743.90203.37661.0870
H92.39553.20062.92164.03061.08703.37663.90202.23743.90634.83432.8479
H102.39553.20062.92164.03063.37661.08702.23743.90203.90632.84794.8343
H113.20062.39554.03062.92163.90202.23741.08703.37664.83432.84793.9063
H123.20062.39554.03062.92162.23743.90203.37661.08702.84794.83433.9063

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 120.960 C1 C2 H7 85.520
C1 C2 H8 85.520 C1 C5 H8 94.480
C1 C5 H9 131.596 C1 C6 H7 94.480
C1 C6 H10 131.596 C2 C1 C3 120.960
C2 C1 C5 85.520 C2 C1 C6 85.520
C2 H7 C6 94.480 C2 H7 H11 131.596
C2 H8 C5 94.480 C2 H8 H12 131.596
C3 C1 C5 118.765 C3 C1 C6 118.765
C4 C2 H7 118.765 C4 C2 H8 118.765
C5 C1 C6 117.309 C5 H8 H12 133.813
C6 H7 H11 133.813 H7 C6 H10 133.813
H8 C5 H9 133.813
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.083      
2 C -0.083      
3 H 0.138      
4 H 0.138      
5 C -0.131      
6 C -0.131      
7 C -0.131      
8 C -0.131      
9 H 0.104      
10 H 0.104      
11 H 0.104      
12 H 0.104      


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 -0.030 0.030
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.884 0.000 0.000
y 0.000 -33.133 0.000
z 0.000 0.000 -36.244
Traceless
 xyz
x -1.196 0.000 0.000
y 0.000 2.931 0.000
z 0.000 0.000 -1.735
Polar
3z2-r2-3.470
x2-y2-2.752
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.185 0.000 0.000
y 0.000 10.326 0.000
z 0.000 0.000 7.384


<r2> (average value of r2) Å2
<r2> 119.598
(<r2>)1/2 10.936