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 C6H8 ((E)-hexa-1,3,5-triene)

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 CS 1Ag
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-233.070844
Energy at 298.15K-233.077797
HF Energy-233.070844
Nuclear repulsion energy192.759230
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 3185 3132 0.00      
2 Ag 3097 3046 0.00      
3 Ag 3081 3030 0.00      
4 Ag 3072 3021 0.00      
5 Ag 1652 1625 0.00      
6 Ag 1603 1577 0.00      
7 Ag 1407 1384 0.00      
8 Ag 1298 1277 0.00      
9 Ag 1285 1264 0.00      
10 Ag 1206 1186 0.00      
11 Ag 927 911 0.00      
12 Ag 436 429 0.00      
13 Ag 338 332 0.00      
14 Au 1029 1012 54.23      
15 Au 932 917 2.36      
16 Au 870 856 78.12      
17 Au 688 676 8.26      
18 Au 252 248 1.19      
19 Au 101 99 0.37      
20 Bg 992 976 0.00      
21 Bg 877 863 0.00      
22 Bg 860 846 0.00      
23 Bg 599 589 0.00      
24 Bg 232 228 0.00      
25 Bu 3185 3132 26.58      
26 Bu 3097 3046 9.92      
27 Bu 3085 3034 62.63      
28 Bu 3073 3022 0.31      
29 Bu 1655 1628 15.76      
30 Bu 1440 1417 2.73      
31 Bu 1298 1276 3.86      
32 Bu 1253 1232 2.28      
33 Bu 1152 1133 5.28      
34 Bu 962 946 4.03      
35 Bu 525 517 5.66      
36 Bu 142 139 1.65      

Unscaled Zero Point Vibrational Energy (zpe) 25441.5 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 25021.7 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 PBEPBEultrafine/6-31G*
ABC
0.87991 0.04407 0.04197

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 -0.002 0.681 0.000
C2 0.002 -0.681 0.000
C3 1.199 1.504 0.000
C4 -1.199 -1.504 0.000
C5 1.199 2.857 0.000
C6 -1.199 -2.857 0.000
H7 0.960 -1.219 0.000
H8 -0.960 1.219 0.000
H9 2.154 0.961 0.000
H10 -2.154 -0.961 0.000
H11 2.129 3.434 0.000
H12 -2.129 -3.434 0.000
H13 -0.267 -3.433 0.000
H14 0.267 3.433 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
C11.36111.45622.49152.48563.73462.12921.09902.17382.70703.48124.63184.12172.7651
C21.36112.49151.45623.73462.48561.09902.12922.70702.17384.63183.48122.76514.1217
C31.45622.49153.84761.35254.97712.73412.17751.09854.16202.14185.95495.14992.1419
C42.49151.45623.84764.97711.35252.17752.73414.16201.09855.95492.14182.14195.1499
C52.48563.73461.35254.97716.19664.08312.70962.12255.08141.09407.11676.45801.0960
C63.73462.48564.97711.35256.19662.70964.08315.08142.12257.11671.09401.09606.4580
H72.12921.09902.73412.17754.08312.70963.10322.48623.12434.79783.80022.53034.7032
H81.09902.12922.17752.73412.70964.08313.10323.12432.48623.80024.79784.70322.5303
H92.17382.70701.09854.16202.12255.08142.48623.12434.71752.47286.13665.01653.1096
H102.70702.17384.16201.09855.08142.12253.12432.48624.71756.13662.47283.10965.0165
H113.48124.63182.14185.95491.09407.11674.79783.80022.47286.13668.08037.27231.8620
H124.63183.48125.95492.14187.11671.09403.80024.79786.13662.47288.08031.86207.2723
H134.12172.76515.14992.14196.45801.09602.53034.70325.01653.10967.27231.86206.8859
H142.76514.12172.14195.14991.09606.45804.70322.53033.10965.01651.86207.27236.8859

picture of (E)-hexa-1,3,5-triene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 124.311 C1 C2 H7 119.490
C1 C3 C5 124.452 C1 C3 H9 115.919
C2 C1 C3 124.311 C2 C1 H8 119.490
C2 C4 C6 124.452 C2 C4 H10 115.919
C3 C1 H8 116.199 C3 C5 H11 121.841
C3 C5 H14 121.692 C4 C2 H7 116.199
C4 C6 H12 121.841 C4 C6 H13 121.692
C5 C3 H9 119.629 C6 C4 H10 119.629
H11 C5 H14 116.467 H12 C6 H13 116.467
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 -0.130      
2 C -0.130      
3 C -0.071      
4 C -0.071      
5 C -0.373      
6 C -0.373      
7 H 0.132      
8 H 0.132      
9 H 0.136      
10 H 0.136      
11 H 0.155      
12 H 0.155      
13 H 0.151      
14 H 0.151      


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 -32.982 -0.112 0.000
y -0.112 -33.368 0.000
z 0.000 0.000 -40.928
Traceless
 xyz
x 4.166 -0.112 0.000
y -0.112 3.587 0.000
z 0.000 0.000 -7.753
Polar
3z2-r2-15.505
x2-y20.386
xy-0.112
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.398 5.109 0.000
y 5.109 22.401 0.000
z 0.000 0.000 3.380


<r2> (average value of r2) Å2
<r2> 258.939
(<r2>)1/2 16.092