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

using model chemistry: B3LYP/CEP-121G

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/CEP-121G
 hartrees
Energy at 0K-37.332160
Energy at 298.15K-37.336243
HF Energy-37.332160
Nuclear repulsion energy88.777049
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/CEP-121G
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 3116 3036 0.00      
2 Ag 3077 2999 0.00      
3 Ag 1982 1932 0.00      
4 Ag 1492 1454 0.00      
5 Ag 1406 1370 0.00      
6 Ag 1174 1144 0.00      
7 Ag 1025 999 0.00      
8 Ag 909 886 0.00      
9 Ag 526 513 0.00      
10 Ag 234 228 0.00      
11 Au 3163 3082 25.31      
12 Au 1035 1009 0.01      
13 Au 939 915 44.43      
14 Au 500 487 1.76      
15 Au 373 364 17.53      
16 Au 84 82 0.56      
17 Bg 3163 3082 0.00      
18 Bg 1037 1011 0.00      
19 Bg 912 888 0.00      
20 Bg 679 662 0.00      
21 Bg 338 330 0.00      
22 Bu 3124 3045 17.46      
23 Bu 3078 2999 39.29      
24 Bu 2004 1953 106.88      
25 Bu 1466 1428 0.59      
26 Bu 1283 1250 9.61      
27 Bu 1086 1059 5.73      
28 Bu 910 887 139.06      
29 Bu 544 530 34.60      
30 Bu 124 121 1.08      

Unscaled Zero Point Vibrational Energy (zpe) 20390.1 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 19870.1 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/CEP-121G
ABC
1.06964 0.04402 0.04303

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.331 0.666 0.000
C2 0.331 -0.666 0.000
C3 0.331 1.824 0.000
C4 -0.331 -1.824 0.000
C5 0.978 2.979 0.000
C6 -0.978 -2.979 0.000
H7 -1.422 0.674 0.000
H8 1.422 -0.674 0.000
H9 1.259 3.479 0.928
H10 1.259 3.479 -0.928
H11 -1.259 -3.479 0.928
H12 -1.259 -3.479 -0.928

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.48681.33362.48972.65763.70161.09152.20623.36173.36174.34754.3475
C21.48682.48971.33363.70162.65762.20621.09154.34754.34753.36173.3617
C31.33362.48973.70721.32404.97772.09632.72582.11232.11235.61305.6130
C42.48971.33363.70724.97771.32402.72582.09635.61305.61302.11232.1123
C52.65763.70161.32404.97776.27043.32773.67951.09111.09116.89676.8967
C63.70162.65764.97771.32406.27043.67953.32776.89676.89671.09111.0911
H71.09152.20622.09632.72583.32773.67953.14743.98953.98954.25844.2584
H82.20621.09152.72582.09633.67953.32773.14744.25844.25843.98953.9895
H93.36174.34752.11235.61301.09116.89673.98954.25841.85677.39907.6284
H103.36174.34752.11235.61301.09116.89673.98954.25841.85677.62847.3990
H114.34753.36175.61302.11236.89671.09114.25843.98957.39907.62841.8567
H124.34753.36175.61302.11236.89671.09114.25843.98957.62847.39901.8567

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 123.859 C1 C2 H8 116.838
C1 C3 C5 179.548 C2 C1 C3 123.859
C2 C1 H7 116.838 C2 C4 C6 179.548
C3 C1 H7 119.303 C3 C5 H9 121.702
C3 C5 H10 121.702 C4 C2 H8 119.303
C4 C6 H11 121.702 C4 C6 H12 121.702
H9 C5 H10 116.597 H11 C6 H12 116.597
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.190      
2 C -0.190      
3 C 0.354      
4 C 0.354      
5 C -0.641      
6 C -0.641      
7 H 0.172      
8 H 0.172      
9 H 0.153      
10 H 0.153      
11 H 0.153      
12 H 0.153      


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 -35.320 3.241 0.000
y 3.241 -31.618 0.000
z 0.000 0.000 -36.588
Traceless
 xyz
x -1.217 3.241 0.000
y 3.241 4.336 0.000
z 0.000 0.000 -3.119
Polar
3z2-r2-6.238
x2-y2-3.702
xy3.241
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.926 6.624 0.000
y 6.624 21.705 0.000
z 0.000 0.000 5.560


<r2> (average value of r2) Å2
<r2> 195.244
(<r2>)1/2 13.973