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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/cc-pVDZ
 hartrees
Energy at 0K-231.828249
Energy at 298.15K-231.832035
HF Energy-231.828249
Nuclear repulsion energy174.819208
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/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 3072 3054 0.00      
2 Ag 3043 3026 0.00      
3 Ag 1987 1976 0.00      
4 Ag 1447 1439 0.00      
5 Ag 1329 1322 0.00      
6 Ag 1140 1134 0.00      
7 Ag 1010 1004 0.00      
8 Ag 819 814 0.00      
9 Ag 524 521 0.00      
10 Ag 225 224 0.00      
11 Au 3124 3106 3.62      
12 Au 956 950 0.09      
13 Au 889 884 31.80      
14 Au 469 466 2.54      
15 Au 343 341 7.39      
16 Au 86 86 0.56      
17 Bg 3124 3106 0.00      
18 Bg 958 953 0.00      
19 Bg 845 840 0.00      
20 Bg 647 643 0.00      
21 Bg 305 303 0.00      
22 Bu 3081 3063 5.94      
23 Bu 3043 3026 19.96      
24 Bu 2016 2005 99.90      
25 Bu 1384 1376 0.87      
26 Bu 1209 1202 11.58      
27 Bu 1079 1072 2.60      
28 Bu 820 815 93.79      
29 Bu 527 524 23.08      
30 Bu 118 118 0.73      

Unscaled Zero Point Vibrational Energy (zpe) 19809.3 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 19694.4 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 PBEPBEultrafine/cc-pVDZ
ABC
1.07076 0.04454 0.04355

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

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 1.814 0.000
C4 -0.326 -1.814 0.000
C5 0.973 2.960 0.000
C6 -0.973 -2.960 0.000
H7 -1.430 0.669 0.000
H8 1.430 -0.669 0.000
H9 1.255 3.463 0.941
H10 1.255 3.463 -0.941
H11 -1.255 -3.463 0.941
H12 -1.255 -3.463 -0.941

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46661.32842.47112.64403.67411.10372.20033.35513.35514.32664.3266
C21.46662.47111.32843.67412.64402.20031.10374.32664.32663.35513.3551
C31.32842.47113.68661.31564.94762.09602.71772.11312.11315.58855.5885
C42.47111.32843.68664.94761.31562.71772.09605.58855.58852.11312.1131
C52.64403.67411.31564.94766.23123.31933.65791.10341.10346.86286.8628
C63.67412.64404.94761.31566.23123.65793.31936.86286.86281.10341.1034
H71.10372.20032.09602.71773.31933.65793.15723.98673.98674.24154.2415
H82.20031.10372.71772.09603.65793.31933.15724.24154.24153.98673.9867
H93.35514.32662.11315.58851.10346.86283.98674.24151.88157.36627.6027
H103.35514.32662.11315.58851.10346.86283.98674.24151.88157.60277.3662
H114.32663.35515.58852.11316.86281.10344.24153.98677.36627.60271.8815
H124.32663.35515.58852.11316.86281.10344.24153.98677.60277.36621.8815

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 124.208 C1 C2 H8 117.043
C1 C3 C5 179.951 C2 C1 C3 124.208
C2 C1 H7 117.043 C2 C4 C6 179.951
C3 C1 H7 118.748 C3 C5 H9 121.504
C3 C5 H10 121.504 C4 C2 H8 118.748
C4 C6 H11 121.504 C4 C6 H12 121.504
H9 C5 H10 116.991 H11 C6 H12 116.991
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.130      
2 C -0.130      
3 C 0.090      
4 C 0.090      
5 C -0.107      
6 C -0.107      
7 H 0.021      
8 H 0.021      
9 H 0.063      
10 H 0.063      
11 H 0.063      
12 H 0.063      


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 -34.685 3.073 0.000
y 3.073 -31.033 0.000
z 0.000 0.000 -36.036
Traceless
 xyz
x -1.150 3.073 0.000
y 3.073 4.328 0.000
z 0.000 0.000 -3.177
Polar
3z2-r2-6.355
x2-y2-3.652
xy3.073
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.420 6.270 0.000
y 6.270 21.334 0.000
z 0.000 0.000 5.429


<r2> (average value of r2) Å2
<r2> 247.680
(<r2>)1/2 15.738