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 (1,2,4,5-Hexatetraene)

using model chemistry: B3LYPultrafine/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at B3LYPultrafine/6-31G(2df,p)
 hartrees
Energy at 0K-232.146926
Energy at 298.15K-232.150947
HF Energy-232.146926
Nuclear repulsion energy176.692812
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 B3LYPultrafine/6-31G(2df,p)
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 3139 3029 0.00      
2 Ag 3117 3008 0.00      
3 Ag 2043 1971 0.00      
4 Ag 1506 1454 0.00      
5 Ag 1401 1352 0.00      
6 Ag 1175 1134 0.00      
7 Ag 1034 998 0.00      
8 Ag 883 852 0.00      
9 Ag 541 522 0.00      
10 Ag 236 227 0.00      
11 Au 3186 3074 6.10      
12 Au 1014 979 0.57      
13 Au 935 903 27.31      
14 Au 492 475 2.31      
15 Au 363 350 7.17      
16 Au 86 83 0.34      
17 Bg 3186 3074 0.00      
18 Bg 1016 981 0.00      
19 Bg 901 870 0.00      
20 Bg 683 659 0.00      
21 Bg 328 316 0.00      
22 Bu 3148 3038 7.39      
23 Bu 3117 3008 21.77      
24 Bu 2068 1996 93.50      
25 Bu 1464 1413 0.52      
26 Bu 1273 1229 14.33      
27 Bu 1116 1077 1.70      
28 Bu 883 852 86.80      
29 Bu 550 531 22.51      
30 Bu 123 119 0.64      

Unscaled Zero Point Vibrational Energy (zpe) 20503.4 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 19785.8 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 B3LYPultrafine/6-31G(2df,p)
ABC
1.08845 0.04546 0.04444

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31G(2df,p)

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.324 0.657 0.000
C2 0.324 -0.657 0.000
C3 0.324 1.797 0.000
C4 -0.324 -1.797 0.000
C5 0.968 2.926 0.000
C6 -0.968 -2.926 0.000
H7 -1.412 0.668 0.000
H8 1.412 -0.668 0.000
H9 1.250 3.424 0.925
H10 1.250 3.424 -0.925
H11 -1.250 -3.424 0.925
H12 -1.250 -3.424 -0.925

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46511.31082.45432.61093.64101.08812.18343.31453.31454.28594.2859
C21.46512.45431.31083.64102.61092.18341.08814.28594.28593.31453.3145
C31.31082.45433.65201.30014.89682.07022.69462.08812.08815.53085.5308
C42.45431.31083.65204.89681.30012.69462.07025.53085.53082.08812.0881
C52.61093.64101.30014.89686.16443.28053.62161.08761.08766.78966.7896
C63.64102.61094.89681.30016.16443.62163.28056.78966.78961.08761.0876
H71.08812.18342.07022.69463.28053.62163.12353.94133.94134.19834.1983
H82.18341.08812.69462.07023.62163.28053.12354.19834.19833.94133.9413
H93.31454.28592.08815.53081.08766.78963.94134.19831.85027.28977.5208
H103.31454.28592.08815.53081.08766.78963.94134.19831.85027.52087.2897
H114.28593.31455.53082.08816.78961.08764.19833.94137.28977.52081.8502
H124.28593.31455.53082.08816.78961.08764.19833.94137.52087.28971.8502

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 124.202 C1 C2 H8 116.785
C1 C3 C5 179.872 C2 C1 C3 124.202
C2 C1 H7 116.785 C2 C4 C6 179.872
C3 C1 H7 119.012 C3 C5 H9 121.724
C3 C5 H10 121.724 C4 C2 H8 119.012
C4 C6 H11 121.724 C4 C6 H12 121.724
H9 C5 H10 116.551 H11 C6 H12 116.551
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.313      
2 C -0.313      
3 C 0.403      
4 C 0.403      
5 C -0.485      
6 C -0.485      
7 H 0.121      
8 H 0.121      
9 H 0.137      
10 H 0.137      
11 H 0.137      
12 H 0.137      


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 -34.261 2.855 0.000
y 2.855 -31.162 0.000
z 0.000 0.000 -35.455
Traceless
 xyz
x -0.952 2.855 0.000
y 2.855 3.696 0.000
z 0.000 0.000 -2.744
Polar
3z2-r2-5.487
x2-y2-3.099
xy2.855
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.181 5.926 0.000
y 5.926 20.021 0.000
z 0.000 0.000 5.498


<r2> (average value of r2) Å2
<r2> 242.894
(<r2>)1/2 15.585