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

using model chemistry: B3LYP/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at B3LYP/6-31G(2df,p)
 hartrees
Energy at 0K-232.146932
Energy at 298.15K-232.150958
HF Energy-232.146932
Nuclear repulsion energy176.691024
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 B3LYP/6-31G(2df,p)
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 3140 3030 0.00      
2 Ag 3118 3009 0.00      
3 Ag 2043 1971 0.00      
4 Ag 1506 1454 0.00      
5 Ag 1401 1352 0.00      
6 Ag 1175 1134 0.00      
7 Ag 1034 998 0.00      
8 Ag 883 852 0.00      
9 Ag 541 522 0.00      
10 Ag 236 228 0.00      
11 Au 3186 3075 6.11      
12 Au 1014 979 0.57      
13 Au 936 903 27.33      
14 Au 492 475 2.30      
15 Au 363 351 7.16      
16 Au 87 84 0.34      
17 Bg 3186 3075 0.00      
18 Bg 1017 981 0.00      
19 Bg 902 870 0.00      
20 Bg 683 659 0.00      
21 Bg 328 317 0.00      
22 Bu 3149 3039 7.39      
23 Bu 3118 3009 21.80      
24 Bu 2068 1996 93.51      
25 Bu 1464 1413 0.52      
26 Bu 1273 1228 14.36      
27 Bu 1116 1077 1.69      
28 Bu 883 853 86.80      
29 Bu 551 531 22.51      
30 Bu 124 119 0.64      

Unscaled Zero Point Vibrational Energy (zpe) 20508.2 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 19790.5 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 B3LYP/6-31G(2df,p)
ABC
1.08895 0.04546 0.04443

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.323 0.657 0.000
C2 0.323 -0.657 0.000
C3 0.323 1.797 0.000
C4 -0.323 -1.797 0.000
C5 0.967 2.927 0.000
C6 -0.967 -2.927 0.000
H7 -1.412 0.668 0.000
H8 1.412 -0.668 0.000
H9 1.249 3.424 0.925
H10 1.249 3.424 -0.925
H11 -1.249 -3.424 0.925
H12 -1.249 -3.424 -0.925

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46501.31082.45442.61093.64121.08812.18333.31453.31454.28624.2862
C21.46502.45441.31083.64122.61092.18331.08814.28624.28623.31453.3145
C31.31082.45443.65211.30014.89702.07012.69472.08812.08815.53115.5311
C42.45441.31083.65214.89701.30012.69472.07015.53115.53112.08812.0881
C52.61093.64121.30014.89706.16473.28033.62201.08761.08766.78996.7899
C63.64122.61094.89701.30016.16473.62203.28036.78996.78991.08761.0876
H71.08812.18332.07012.69473.28033.62203.12343.94113.94114.19884.1988
H82.18331.08812.69472.07013.62203.28033.12344.19884.19883.94113.9411
H93.31454.28622.08815.53111.08766.78993.94114.19881.85017.29007.5211
H103.31454.28622.08815.53111.08766.78993.94114.19881.85017.52117.2900
H114.28623.31455.53112.08816.78991.08764.19883.94117.29007.52111.8501
H124.28623.31455.53112.08816.78991.08764.19883.94117.52117.29001.8501

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 124.215 C1 C2 H8 116.782
C1 C3 C5 179.887 C2 C1 C3 124.215
C2 C1 H7 116.782 C2 C4 C6 179.887
C3 C1 H7 119.003 C3 C5 H9 121.725
C3 C5 H10 121.725 C4 C2 H8 119.003
C4 C6 H11 121.725 C4 C6 H12 121.725
H9 C5 H10 116.549 H11 C6 H12 116.549
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.313      
2 C -0.313      
3 C 0.404      
4 C 0.404      
5 C -0.485      
6 C -0.485      
7 H 0.121      
8 H 0.121      
9 H 0.137      
10 H 0.137      
11 H 0.137      
12 H 0.137      


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 -34.264 2.854 0.000
y 2.854 -31.159 0.000
z 0.000 0.000 -35.455
Traceless
 xyz
x -0.957 2.854 0.000
y 2.854 3.701 0.000
z 0.000 0.000 -2.744
Polar
3z2-r2-5.488
x2-y2-3.105
xy2.854
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.178 5.924 0.000
y 5.924 20.026 0.000
z 0.000 0.000 5.498


<r2> (average value of r2) Å2
<r2> 242.913
(<r2>)1/2 15.586