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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3LYP/aug-cc-pVDZ

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/aug-cc-pVDZ
 hartrees
Energy at 0K-232.274579
Energy at 298.15K-232.280911
HF Energy-232.274579
Nuclear repulsion energy202.765766
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/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 A1g 3200 3105 0.00 428.87 0.10 0.18
2 A1g 1013 983 0.00 90.14 0.03 0.06
3 A2g 1354 1314 0.00 0.00 0.75 0.86
4 A2u 681 660 112.39 0.00 0.00 0.00
5 B1u 3167 3073 0.00 0.00 0.00 0.00
6 B1u 1005 975 0.00 0.00 0.00 0.00
7 B2g 1016 986 0.00 0.00 0.75 0.86
8 B2g 729 708 0.00 0.00 0.75 0.86
9 B2u 1350 1310 0.00 0.00 0.00 0.00
10 B2u 1164 1130 0.00 0.00 0.00 0.00
11 E1g 856 831 0.00 0.80 0.75 0.86
11 E1g 856 831 0.00 0.79 0.75 0.86
12 E1u 3190 3096 35.28 0.00 0.00 0.00
12 E1u 3190 3096 35.27 0.00 0.00 0.00
13 E1u 1492 1448 6.27 0.00 0.00 0.00
13 E1u 1492 1448 6.27 0.00 0.00 0.00
14 E1u 1056 1024 5.71 0.00 0.00 0.00
14 E1u 1056 1024 5.71 0.00 0.00 0.00
15 E2g 3175 3081 0.00 131.82 0.75 0.86
15 E2g 3175 3081 0.00 131.85 0.75 0.86
16 E2g 1633 1585 0.00 14.03 0.75 0.86
16 E2g 1633 1585 0.00 13.98 0.75 0.86
17 E2g 1187 1152 0.00 6.28 0.75 0.86
17 E2g 1187 1152 0.00 6.24 0.75 0.86
18 E2g 616 598 0.00 2.78 0.75 0.86
18 E2g 616 598 0.00 2.78 0.75 0.86
19 E2u 982 953 0.00 0.00 0.00 0.00
19 E2u 982 953 0.00 0.00 0.00 0.00
20 E2u 412 400 0.00 0.00 0.00 0.00
20 E2u 412 400 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21938.5 cm-1
Scaled (by 0.9704) Zero Point Vibrational Energy (zpe) 21289.1 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/aug-cc-pVDZ
ABC
0.18894 0.18894 0.09447

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.399 0.000
C2 1.212 0.700 0.000
C3 1.212 -0.700 0.000
C4 0.000 -1.399 0.000
C5 -1.212 -0.700 0.000
C6 -1.212 0.700 0.000
H7 0.000 2.490 0.000
H8 2.156 1.245 0.000
H9 2.156 -1.245 0.000
H10 0.000 -2.490 0.000
H11 -2.156 -1.245 0.000
H12 -2.156 1.245 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39922.42342.79832.42341.39921.09082.16193.41203.88913.41202.1619
C21.39921.39922.42342.79832.42342.16191.09082.16193.41203.88913.4120
C32.42341.39921.39922.42342.79833.41202.16191.09082.16193.41203.8891
C42.79832.42341.39921.39922.42343.88913.41202.16191.09082.16193.4120
C52.42342.79832.42341.39921.39923.41203.88913.41202.16191.09082.1619
C61.39922.42342.79832.42341.39922.16193.41203.88913.41202.16191.0908
H71.09082.16193.41203.88913.41202.16192.49004.31284.97994.31282.4900
H82.16191.09082.16193.41203.88913.41202.49002.49004.31284.97994.3128
H93.41202.16191.09082.16193.41203.88914.31282.49002.49004.31284.9799
H103.88913.41202.16191.09082.16193.41204.97994.31282.49002.49004.3128
H113.41203.88913.41202.16191.09082.16194.31284.97994.31282.49002.4900
H122.16193.41203.88913.41202.16191.09082.49004.31284.97994.31282.4900

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
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.738      
2 C 0.738      
3 C 0.738      
4 C 0.738      
5 C 0.738      
6 C 0.738      
7 H -0.738      
8 H -0.738      
9 H -0.738      
10 H -0.738      
11 H -0.738      
12 H -0.738      


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 -32.495 0.000 0.000
y 0.000 -32.495 0.000
z 0.000 0.000 -40.068
Traceless
 xyz
x 3.786 0.000 0.000
y 0.000 3.786 0.000
z 0.000 0.000 -7.573
Polar
3z2-r2-15.145
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 12.271 0.000 0.000
y 0.000 12.271 0.000
z 0.000 0.000 6.671


<r2> (average value of r2) Å2
<r2> 129.548
(<r2>)1/2 11.382