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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3LYP/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B3LYP/cc-pVTZ
 hartrees
Energy at 0K-232.333368
Energy at 298.15K-232.339739
HF Energy-232.333368
Nuclear repulsion energy204.055864
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/cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1g 3192 3086 0.00 423.36 0.12 0.21
2 A1g 1015 981 0.00 63.92 0.07 0.14
3 A2g 1390 1344 0.00 0.00 0.75 0.86
4 A2u 691 668 103.60 0.00 0.00 0.00
5 B1u 3157 3051 0.00 0.00 0.00 0.00
6 B1u 1031 996 0.00 0.00 0.00 0.00
7 B2g 1022 988 0.00 0.00 0.75 0.86
8 B2g 727 703 0.00 0.00 0.75 0.86
9 B2u 1335 1291 0.00 0.00 0.00 0.00
10 B2u 1177 1137 0.00 0.00 0.00 0.00
11 E1g 868 839 0.00 0.29 0.75 0.86
11 E1g 868 839 0.00 0.29 0.75 0.86
12 E1u 3182 3076 39.37 0.00 0.00 0.00
12 E1u 3182 3076 39.38 0.00 0.00 0.00
13 E1u 1519 1468 7.95 0.00 0.00 0.00
13 E1u 1519 1468 7.96 0.00 0.00 0.00
14 E1u 1062 1027 4.72 0.00 0.00 0.00
14 E1u 1062 1027 4.72 0.00 0.00 0.00
15 E2g 3167 3061 0.00 137.28 0.75 0.86
15 E2g 3167 3061 0.00 137.27 0.75 0.86
16 E2g 1638 1583 0.00 9.75 0.75 0.86
16 E2g 1638 1583 0.00 9.75 0.75 0.86
17 E2g 1200 1160 0.00 6.28 0.75 0.86
17 E2g 1200 1160 0.00 6.28 0.75 0.86
18 E2g 624 603 0.00 3.60 0.75 0.86
18 E2g 624 603 0.00 3.60 0.75 0.86
19 E2u 989 956 0.00 0.00 0.00 0.00
19 E2u 989 956 0.00 0.00 0.00 0.00
20 E2u 415 401 0.00 0.00 0.00 0.00
20 E2u 415 401 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22031.5 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 21295.7 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 B3LYP/cc-pVTZ
ABC
0.19131 0.19131 0.09565

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVTZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.391 0.000
C2 1.204 0.695 0.000
C3 1.204 -0.695 0.000
C4 0.000 -1.391 0.000
C5 -1.204 -0.695 0.000
C6 -1.204 0.695 0.000
H7 0.000 2.473 0.000
H8 2.142 1.236 0.000
H9 2.142 -1.236 0.000
H10 0.000 -2.473 0.000
H11 -2.142 -1.236 0.000
H12 -2.142 1.236 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39072.40882.78152.40881.39071.08212.14713.38943.86353.38942.1471
C21.39071.39072.40882.78152.40882.14711.08212.14713.38943.86353.3894
C32.40881.39071.39072.40882.78153.38942.14711.08212.14713.38943.8635
C42.78152.40881.39071.39072.40883.86353.38942.14711.08212.14713.3894
C52.40882.78152.40881.39071.39073.38943.86353.38942.14711.08212.1471
C61.39072.40882.78152.40881.39072.14713.38943.86353.38942.14711.0821
H71.08212.14713.38943.86353.38942.14712.47284.28304.94564.28302.4728
H82.14711.08212.14713.38943.86353.38942.47282.47284.28304.94564.2830
H93.38942.14711.08212.14713.38943.86354.28302.47282.47284.28304.9456
H103.86353.38942.14711.08212.14713.38944.94564.28302.47282.47284.2830
H113.38943.86353.38942.14711.08212.14714.28304.94564.28302.47282.4728
H122.14713.38943.86353.38942.14711.08212.47284.28304.94564.28302.4728

picture of Benzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 120.000 C1 C2 H8 120.000
C1 C6 C5 120.000 C1 C6 H12 120.000
C2 C1 C6 120.000 C2 C1 H7 120.000
C2 C3 C4 120.000 C2 C3 H9 120.000
C3 C2 H8 120.000 C3 C4 C5 120.000
C3 C4 H10 120.000 C4 C3 H9 120.000
C4 C5 C6 120.000 C4 C5 H11 120.000
C5 C4 H10 120.000 C5 C6 H12 120.000
C6 C1 H7 120.000 C6 C5 H11 120.000
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.105      
2 C -0.105      
3 C -0.105      
4 C -0.105      
5 C -0.105      
6 C -0.105      
7 H 0.105      
8 H 0.105      
9 H 0.105      
10 H 0.105      
11 H 0.105      
12 H 0.105      


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 -0.012 0.000 0.000 0.012


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.123 0.000 0.000
y 0.000 -32.123 0.000
z 0.000 0.000 -39.552
Traceless
 xyz
x 3.714 0.000 0.000
y 0.000 3.714 0.000
z 0.000 0.000 -7.429
Polar
3z2-r2-14.857
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.451 0.000 0.000
y 0.000 11.451 0.000
z 0.000 0.000 5.010


<r2> (average value of r2) Å2
<r2> 127.928
(<r2>)1/2 11.311