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

using model chemistry: PBE1PBE/aug-cc-pVDZ

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/aug-cc-pVDZ
 hartrees
Energy at 0K-231.859503
Energy at 298.15K-231.863459
HF Energy-231.859503
Nuclear repulsion energy176.098888
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/aug-cc-pVDZ
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 3173 3051 0.00      
2 Ag 3141 3020 0.00      
3 Ag 2054 1975 0.00      
4 Ag 1502 1444 0.00      
5 Ag 1382 1329 0.00      
6 Ag 1176 1131 0.00      
7 Ag 1044 1004 0.00      
8 Ag 884 850 0.00      
9 Ag 539 518 0.00      
10 Ag 230 221 0.00      
11 Au 3227 3103 1.66      
12 Au 992 953 1.88      
13 Au 921 885 37.43      
14 Au 490 472 2.85      
15 Au 347 334 13.52      
16 Au 83 80 0.78      
17 Bg 3227 3103 0.00      
18 Bg 992 954 0.00      
19 Bg 893 858 0.00      
20 Bg 676 650 0.00      
21 Bg 299 288 0.00      
22 Bu 3183 3061 3.37      
23 Bu 3141 3021 13.33      
24 Bu 2076 1996 144.54      
25 Bu 1439 1384 1.72      
26 Bu 1255 1206 16.37      
27 Bu 1114 1071 2.28      
28 Bu 885 851 100.74      
29 Bu 542 521 35.56      
30 Bu 122 117 1.09      

Unscaled Zero Point Vibrational Energy (zpe) 20514.2 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 19726.4 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/aug-cc-pVDZ
ABC
1.07522 0.04526 0.04423

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVDZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.327 0.654 0.000
C2 0.327 -0.654 0.000
C3 0.327 1.798 0.000
C4 -0.327 -1.798 0.000
C5 0.975 2.934 0.000
C6 -0.975 -2.934 0.000
H7 -1.420 0.672 0.000
H8 1.420 -0.672 0.000
H9 1.256 3.428 0.933
H10 1.256 3.428 -0.933
H11 -1.256 -3.428 0.933
H12 -1.256 -3.428 -0.933

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46271.31732.45282.62523.64661.09332.19313.32663.32664.28924.2892
C21.46272.45281.31733.64662.62522.19311.09334.28924.28923.32663.3266
C31.31732.45283.65561.30794.90822.07802.70162.09502.09505.53955.5395
C42.45281.31733.65564.90821.30792.70162.07805.53955.53952.09502.0950
C52.62523.64661.30794.90826.18383.29433.63351.09241.09246.80596.8059
C63.64662.62524.90821.30796.18383.63353.29436.80596.80591.09241.0924
H71.09332.19312.07802.70163.29433.63353.14163.95253.95254.20784.2078
H82.19311.09332.70162.07803.63353.29433.14164.20784.20783.95253.9525
H93.32664.28922.09505.53951.09246.80593.95254.20781.86667.30097.5357
H103.32664.28922.09505.53951.09246.80593.95254.20781.86667.53577.3009
H114.28923.32665.53952.09506.80591.09244.20783.95257.30097.53571.8666
H124.28923.32665.53952.09506.80591.09244.20783.95257.53577.30091.8666

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 123.750 C1 C2 H8 117.454
C1 C3 C5 179.996 C2 C1 C3 123.750
C2 C1 H7 117.454 C2 C4 C6 179.996
C3 C1 H7 118.796 C3 C5 H9 121.313
C3 C5 H10 121.313 C4 C2 H8 118.796
C4 C6 H11 121.313 C4 C6 H12 121.313
H9 C5 H10 117.374 H11 C6 H12 117.374
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.077      
2 C 1.077      
3 C -0.631      
4 C -0.631      
5 C 0.804      
6 C 0.804      
7 H -0.591      
8 H -0.591      
9 H -0.329      
10 H -0.329      
11 H -0.329      
12 H -0.329      


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 -35.165 3.508 0.000
y 3.508 -31.288 0.000
z 0.000 0.000 -36.642
Traceless
 xyz
x -1.201 3.508 0.000
y 3.508 4.616 0.000
z 0.000 0.000 -3.415
Polar
3z2-r2-6.831
x2-y2-3.878
xy3.508
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.382 5.534 0.000
y 5.534 22.000 0.000
z 0.000 0.000 7.526


<r2> (average value of r2) Å2
<r2> 244.413
(<r2>)1/2 15.634