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All results from a given calculation for C6H6 (1,2,4,5-Hexatetraene)

using model chemistry: wB97X-D/CEP-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at wB97X-D/CEP-31G*
 hartrees
Energy at 0K-37.373011
Energy at 298.15K-37.376827
HF Energy-37.373011
Nuclear repulsion energy88.519995
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 wB97X-D/CEP-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 Ag 3195 3195 0.00      
2 Ag 3157 3157 0.00      
3 Ag 2066 2066 0.00      
4 Ag 1515 1515 0.00      
5 Ag 1394 1394 0.00      
6 Ag 1177 1177 0.00      
7 Ag 1051 1051 0.00      
8 Ag 848 848 0.00      
9 Ag 534 534 0.00      
10 Ag 210 210 0.00      
11 Au 3235 3235 17.32      
12 Au 987 987 1.01      
13 Au 945 945 59.29      
14 Au 482 482 5.91      
15 Au 340 340 14.23      
16 Au 84 84 0.54      
17 Bg 3235 3235 0.00      
18 Bg 992 992 0.00      
19 Bg 910 910 0.00      
20 Bg 660 660 0.00      
21 Bg 310 310 0.00      
22 Bu 3201 3201 9.69      
23 Bu 3157 3157 46.59      
24 Bu 2076 2076 132.49      
25 Bu 1461 1461 0.18      
26 Bu 1257 1257 16.20      
27 Bu 1105 1105 2.08      
28 Bu 849 849 165.81      
29 Bu 532 532 26.20      
30 Bu 112 112 0.97      

Unscaled Zero Point Vibrational Energy (zpe) 20537.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 20537.7 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 wB97X-D/CEP-31G*
ABC
1.00469 0.04426 0.04317

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-31G*

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.340 0.662 0.000
C2 0.340 -0.662 0.000
C3 0.340 1.815 0.000
C4 -0.340 -1.815 0.000
C5 1.050 2.952 0.000
C6 -1.050 -2.952 0.000
H7 -1.433 0.673 0.000
H8 1.433 -0.673 0.000
H9 1.341 3.431 0.941
H10 1.341 3.431 -0.941
H11 -1.341 -3.431 0.941
H12 -1.341 -3.431 -0.941

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.48841.33912.47702.67913.68291.09322.22003.37363.37364.31734.3173
C21.48842.47701.33913.68292.67912.22001.09324.31734.31733.37363.3736
C31.33912.47703.69351.34024.96582.10952.71782.12092.12095.58885.5888
C42.47701.33913.69354.96581.34022.71782.10955.58885.58882.12092.1209
C52.67913.68291.34024.96586.26643.37053.64541.09501.09506.88096.8809
C63.68292.67914.96581.34026.26643.64543.37056.88096.88091.09501.0950
H71.09322.22002.10952.71783.37053.64543.16724.02364.02364.21164.2116
H82.22001.09322.71782.10953.64543.37053.16724.21164.21164.02364.0236
H93.37364.31732.12095.58881.09506.88094.02364.21161.88137.36787.6042
H103.37364.31732.12095.58881.09506.88094.02364.21161.88137.60427.3678
H114.31733.37365.58882.12096.88091.09504.21164.02367.36787.60421.8813
H124.31733.37365.58882.12096.88091.09504.21164.02367.60427.36781.8813

picture of 1,2,4,5-Hexatetraene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 122.241 C1 C2 H8 117.804
C1 C3 C5 178.577 C2 C1 C3 122.241
C2 C1 H7 117.804 C2 C4 C6 178.577
C3 C1 H7 119.955 C3 C5 H9 120.794
C3 C5 H10 120.794 C4 C2 H8 119.955
C4 C6 H11 120.794 C4 C6 H12 120.794
H9 C5 H10 118.408 H11 C6 H12 118.408
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.207      
2 C -0.207      
3 C -0.235      
4 C -0.235      
5 C -0.279      
6 C -0.279      
7 H 0.312      
8 H 0.312      
9 H 0.205      
10 H 0.205      
11 H 0.205      
12 H 0.205      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.036 3.791 0.000
y 3.791 -30.797 0.000
z 0.000 0.000 -35.635
Traceless
 xyz
x -0.820 3.791 0.000
y 3.791 4.039 0.000
z 0.000 0.000 -3.219
Polar
3z2-r2-6.438
x2-y2-3.239
xy3.791
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.700 6.637 0.000
y 6.637 20.087 0.000
z 0.000 0.000 4.837


<r2> (average value of r2) Å2
<r2> 194.008
(<r2>)1/2 13.929