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

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G
 hartrees
Energy at 0K-231.782188
Energy at 298.15K-231.786309
HF Energy-231.782188
Nuclear repulsion energy176.063075
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 PBE1PBE/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 3189 3049 0.00      
2 Ag 3166 3026 0.00      
3 Ag 2082 1991 0.00      
4 Ag 1540 1472 0.00      
5 Ag 1442 1378 0.00      
6 Ag 1217 1164 0.00      
7 Ag 1061 1014 0.00      
8 Ag 942 900 0.00      
9 Ag 550 526 0.00      
10 Ag 241 230 0.00      
11 Au 3244 3101 10.44      
12 Au 1054 1007 0.85      
13 Au 958 915 47.50      
14 Au 505 483 3.22      
15 Au 363 347 13.41      
16 Au 87 83 0.49      
17 Bg 3244 3101 0.00      
18 Bg 1056 1010 0.00      
19 Bg 936 895 0.00      
20 Bg 699 668 0.00      
21 Bg 328 313 0.00      
22 Bu 3199 3058 10.60      
23 Bu 3166 3027 17.40      
24 Bu 2104 2011 106.22      
25 Bu 1502 1436 1.13      
26 Bu 1318 1260 6.59      
27 Bu 1138 1088 3.80      
28 Bu 942 901 147.27      
29 Bu 557 533 27.00      
30 Bu 126 121 0.89      

Unscaled Zero Point Vibrational Energy (zpe) 20978.1 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 20053.0 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 PBE1PBE/6-31G
ABC
1.08687 0.04511 0.04409

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.325 0.656 0.000
C2 0.325 -0.656 0.000
C3 0.325 1.803 0.000
C4 -0.325 -1.803 0.000
C5 0.972 2.939 0.000
C6 -0.972 -2.939 0.000
H7 -1.414 0.663 0.000
H8 1.414 -0.663 0.000
H9 1.255 3.439 0.924
H10 1.255 3.439 -0.924
H11 -1.255 -3.439 0.924
H12 -1.255 -3.439 -0.924

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46421.31812.45882.62573.65291.08862.18223.33063.33064.29944.2994
C21.46422.45881.31813.65292.62572.18221.08864.29944.29943.33063.3306
C31.31812.45883.66361.30774.91612.07882.69532.09632.09635.55185.5518
C42.45881.31813.66364.91611.30772.69532.07885.55185.55182.09632.0963
C52.62573.65291.30774.91616.19143.29723.62911.08771.08776.81836.8183
C63.65292.62574.91611.30776.19143.62913.29726.81836.81831.08771.0877
H71.08862.18222.07882.69533.29723.62913.12263.95973.95974.20744.2074
H82.18221.08862.69532.07883.62913.29723.12264.20744.20743.95973.9597
H93.33064.29942.09635.55181.08776.81833.95974.20741.84777.32107.5506
H103.33064.29942.09635.55181.08776.81833.95974.20741.84777.55067.3210
H114.29943.33065.55182.09636.81831.08774.20743.95977.32107.55061.8477
H124.29943.33065.55182.09636.81831.08774.20743.95977.55067.32101.8477

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 124.107 C1 C2 H8 116.716
C1 C3 C5 179.893 C2 C1 C3 124.107
C2 C1 H7 116.716 C2 C4 C6 179.893
C3 C1 H7 119.177 C3 C5 H9 121.858
C3 C5 H10 121.858 C4 C2 H8 119.177
C4 C6 H11 121.858 C4 C6 H12 121.858
H9 C5 H10 116.284 H11 C6 H12 116.284
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.238      
2 C -0.238      
3 C 0.137      
4 C 0.137      
5 C -0.475      
6 C -0.475      
7 H 0.200      
8 H 0.200      
9 H 0.188      
10 H 0.188      
11 H 0.188      
12 H 0.188      


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 -34.259 3.275 0.000
y 3.275 -30.552 0.000
z 0.000 0.000 -35.834
Traceless
 xyz
x -1.066 3.275 0.000
y 3.275 4.495 0.000
z 0.000 0.000 -3.428
Polar
3z2-r2-6.857
x2-y2-3.707
xy3.275
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.465 6.345 0.000
y 6.345 19.448 0.000
z 0.000 0.000 4.615


<r2> (average value of r2) Å2
<r2> 244.538
(<r2>)1/2 15.638