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All results from a given calculation for C6H8 ((E)-hexa-1,3,5-triene)

using model chemistry: PBEPBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1Ag
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-231.795811
Energy at 298.15K-231.802878
Nuclear repulsion energy192.667450
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 PBEPBE/3-21G
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 3176 3147 0.00      
2 Ag 3087 3059 0.00      
3 Ag 3078 3050 0.00      
4 Ag 3065 3037 0.00      
5 Ag 1628 1613 0.00      
6 Ag 1597 1583 0.00      
7 Ag 1438 1425 0.00      
8 Ag 1331 1319 0.00      
9 Ag 1304 1292 0.00      
10 Ag 1210 1199 0.00      
11 Ag 945 937 0.00      
12 Ag 446 442 0.00      
13 Ag 351 348 0.00      
14 Au 1030 1020 85.86      
15 Au 936 928 18.07      
16 Au 898 890 94.23      
17 Au 692 685 14.28      
18 Au 250 248 2.07      
19 Au 99 98 0.65      
20 Bg 997 988 0.00      
21 Bg 905 897 0.00      
22 Bg 871 863 0.00      
23 Bg 598 593 0.00      
24 Bg 225 223 0.00      
25 Bu 3176 3147 23.83      
26 Bu 3087 3059 7.62      
27 Bu 3085 3057 42.40      
28 Bu 3068 3040 0.33      
29 Bu 1637 1623 13.65      
30 Bu 1469 1456 4.70      
31 Bu 1323 1311 3.66      
32 Bu 1289 1277 0.57      
33 Bu 1148 1138 9.31      
34 Bu 978 969 4.46      
35 Bu 548 543 4.77      
36 Bu 147 145 1.30      

Unscaled Zero Point Vibrational Energy (zpe) 25557.2 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 25324.7 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 PBEPBE/3-21G
ABC
0.87410 0.04407 0.04196

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/3-21G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.001 0.682 0.000
C2 0.001 -0.682 0.000
C3 1.201 1.497 0.000
C4 -1.201 -1.497 0.000
C5 1.201 2.850 0.000
C6 -1.201 -2.850 0.000
H7 0.962 -1.215 0.000
H8 -0.962 1.215 0.000
H9 2.156 0.956 0.000
H10 -2.156 -0.956 0.000
H11 2.130 3.427 0.000
H12 -2.130 -3.427 0.000
H13 -0.265 -3.420 0.000
H14 0.265 3.420 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
C11.36341.45302.48742.47983.73032.12781.09882.17512.70633.47534.62714.11012.7512
C21.36342.48741.45303.73032.47981.09882.12782.70632.17514.62713.47532.75124.1101
C31.45302.48743.83901.35314.96722.72322.18141.09834.15802.14145.94495.13122.1383
C42.48741.45303.83904.96721.35312.18142.72324.15801.09835.94492.14142.13835.1312
C52.47983.73031.35314.96726.18634.07292.71152.12215.07521.09307.10636.43961.0955
C63.73032.47984.96721.35316.18632.71154.07295.07522.12217.10631.09301.09556.4396
H72.12781.09882.72322.18144.07292.71153.10012.47783.12924.78693.80132.52324.6874
H81.09882.12782.18142.72322.71154.07293.10013.12922.47783.80134.78694.68742.5232
H92.17512.70631.09834.15802.12215.07522.47783.12924.71722.47156.12995.00093.1064
H102.70632.17514.15801.09835.07522.12213.12922.47784.71726.12992.47153.10645.0009
H113.47534.62712.14145.94491.09307.10634.78693.80132.47156.12998.06957.25361.8644
H124.62713.47535.94492.14147.10631.09303.80134.78696.12992.47158.06951.86447.2536
H134.11012.75125.13122.13836.43961.09552.52324.68745.00093.10647.25361.86446.8604
H142.75124.11012.13835.13121.09556.43964.68742.52323.10645.00091.86447.25366.8604

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 124.024 C1 C2 H7 119.179
C1 C3 C5 124.147 C1 C3 H9 116.293
C2 C1 C3 124.024 C2 C1 H8 119.179
C2 C4 C6 124.147 C2 C4 H10 116.293
C3 C1 H8 116.798 C3 C5 H11 121.830
C3 C5 H14 121.323 C4 C2 H7 116.798
C4 C6 H12 121.830 C4 C6 H13 121.323
C5 C3 H9 119.559 C6 C4 H10 119.559
H11 C5 H14 116.847 H12 C6 H13 116.847
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.193      
2 C -0.193      
3 C -0.200      
4 C -0.200      
5 C -0.397      
6 C -0.397      
7 H 0.194      
8 H 0.194      
9 H 0.198      
10 H 0.198      
11 H 0.202      
12 H 0.202      
13 H 0.197      
14 H 0.197      


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 -32.779 -0.046 0.000
y -0.046 -32.714 0.000
z 0.000 0.000 -42.157
Traceless
 xyz
x 4.657 -0.046 0.000
y -0.046 4.754 0.000
z 0.000 0.000 -9.410
Polar
3z2-r2-18.821
x2-y2-0.065
xy-0.046
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.747 4.869 0.000
y 4.869 21.345 0.000
z 0.000 0.000 2.520


<r2> (average value of r2) Å2
<r2> 259.037
(<r2>)1/2 16.095