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

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-231.812599
Energy at 298.15K-231.816431
HF Energy-231.812599
Nuclear repulsion energy175.207646
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/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 Ag 3083 3032 0.00      
2 Ag 3063 3012 0.00      
3 Ag 1990 1957 0.00      
4 Ag 1476 1452 0.00      
5 Ag 1374 1351 0.00      
6 Ag 1159 1140 0.00      
7 Ag 1023 1006 0.00      
8 Ag 829 815 0.00      
9 Ag 527 518 0.00      
10 Ag 230 226 0.00      
11 Au 3128 3076 9.12      
12 Au 988 972 0.01      
13 Au 899 884 32.66      
14 Au 473 466 2.81      
15 Au 356 350 7.74      
16 Au 87 86 0.47      
17 Bg 3128 3076 0.00      
18 Bg 991 974 0.00      
19 Bg 857 842 0.00      
20 Bg 655 644 0.00      
21 Bg 319 313 0.00      
22 Bu 3092 3041 8.56      
23 Bu 3063 3012 31.39      
24 Bu 2020 1986 80.69      
25 Bu 1434 1410 0.47      
26 Bu 1246 1225 10.76      
27 Bu 1094 1076 3.23      
28 Bu 830 816 107.84      
29 Bu 536 528 20.20      
30 Bu 120 118 0.67      

Unscaled Zero Point Vibrational Energy (zpe) 20032.5 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 19702.0 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/6-31G*
ABC
1.07528 0.04472 0.04372

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.326 0.657 0.000
C2 0.326 -0.657 0.000
C3 0.326 1.810 0.000
C4 -0.326 -1.810 0.000
C5 0.974 2.952 0.000
C6 -0.974 -2.952 0.000
H7 -1.425 0.665 0.000
H8 1.425 -0.665 0.000
H9 1.259 3.456 0.933
H10 1.259 3.456 -0.933
H11 -1.259 -3.456 0.933
H12 -1.259 -3.456 -0.933

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46681.32552.46722.63823.66671.09822.19403.34973.34974.31954.3195
C21.46682.46721.32553.66672.63822.19401.09824.31954.31953.34973.3497
C31.32552.46723.67911.31274.93702.09212.70842.10922.10925.57875.5787
C42.46721.32553.67914.93701.31272.70842.09215.57875.57872.10922.1092
C52.63823.66671.31274.93706.21763.31413.64561.09791.09796.85036.8503
C63.66672.63824.93701.31276.21763.64563.31416.85036.85031.09791.0979
H71.09822.19402.09212.70843.31413.64563.14463.98253.98254.22934.2293
H82.19401.09822.70842.09213.64563.31413.14464.22934.22933.98253.9825
H93.34974.31952.10925.57871.09796.85033.98254.22931.86577.35697.5898
H103.34974.31952.10925.57871.09796.85033.98254.22931.86577.58987.3569
H114.31953.34975.57872.10926.85031.09794.22933.98257.35697.58981.8657
H124.31953.34975.57872.10926.85031.09794.22933.98257.58987.35691.8657

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 124.072 C1 C2 H8 116.870
C1 C3 C5 179.946 C2 C1 C3 124.072
C2 C1 H7 116.870 C2 C4 C6 179.946
C3 C1 H7 119.058 C3 C5 H9 121.825
C3 C5 H10 121.825 C4 C2 H8 119.058
C4 C6 H11 121.825 C4 C6 H12 121.825
H9 C5 H10 116.350 H11 C6 H12 116.350
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.308      
2 C -0.308      
3 C 0.344      
4 C 0.344      
5 C -0.564      
6 C -0.564      
7 H 0.170      
8 H 0.170      
9 H 0.178      
10 H 0.178      
11 H 0.178      
12 H 0.178      


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 -34.138 3.045 0.000
y 3.045 -30.622 0.000
z 0.000 0.000 -35.480
Traceless
 xyz
x -1.087 3.045 0.000
y 3.045 4.187 0.000
z 0.000 0.000 -3.101
Polar
3z2-r2-6.201
x2-y2-3.516
xy3.045
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.770 6.264 0.000
y 6.264 20.499 0.000
z 0.000 0.000 4.995


<r2> (average value of r2) Å2
<r2> 246.457
(<r2>)1/2 15.699