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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B97D3/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 B97D3/aug-cc-pVDZ
 hartrees
Energy at 0K-232.119423
Energy at 298.15K-232.125630
HF Energy-232.119423
Nuclear repulsion energy202.057058
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 B97D3/aug-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 A1g 3148 3148 0.00 446.71 0.10 0.18
2 A1g 994 994 0.00 90.88 0.03 0.06
3 A2g 1326 1326 0.00 0.00 0.75 0.86
4 A2u 657 657 108.50 0.00 0.00 0.00
5 B1u 3114 3114 0.00 0.00 0.00 0.00
6 B1u 987 987 0.00 0.00 0.00 0.00
7 B2g 973 973 0.00 0.00 0.75 0.86
8 B2g 705 705 0.00 0.00 0.75 0.86
9 B2u 1350 1350 0.00 0.00 0.00 0.00
10 B2u 1149 1149 0.00 0.00 0.00 0.00
11 E1g 828 828 0.00 0.80 0.75 0.86
11 E1g 828 828 0.00 0.84 0.75 0.86
12 E1u 3138 3138 53.11 0.00 0.00 0.00
12 E1u 3138 3138 53.09 0.00 0.00 0.00
13 E1u 1462 1462 4.77 0.00 0.00 0.00
13 E1u 1462 1462 4.77 0.00 0.00 0.00
14 E1u 1036 1036 5.45 0.00 0.00 0.00
14 E1u 1036 1036 5.44 0.00 0.00 0.00
15 E2g 3122 3122 0.00 140.30 0.75 0.86
15 E2g 3122 3122 0.00 140.35 0.75 0.86
16 E2g 1596 1596 0.00 12.61 0.75 0.86
16 E2g 1596 1596 0.00 12.53 0.75 0.86
17 E2g 1168 1168 0.00 6.43 0.75 0.86
17 E2g 1168 1168 0.00 6.41 0.75 0.86
18 E2g 605 605 0.00 1.86 0.75 0.86
18 E2g 605 605 0.00 1.84 0.75 0.86
19 E2u 945 945 0.00 0.00 0.00 0.00
19 E2u 945 945 0.00 0.00 0.00 0.00
20 E2u 398 398 0.00 0.00 0.00 0.00
20 E2u 398 398 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21498.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21498.5 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 B97D3/aug-cc-pVDZ
ABC
0.18762 0.18762 0.09381

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pVDZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.404 0.000
C2 1.216 0.702 0.000
C3 1.216 -0.702 0.000
C4 0.000 -1.404 0.000
C5 -1.216 -0.702 0.000
C6 -1.216 0.702 0.000
H7 0.000 2.499 0.000
H8 2.164 1.249 0.000
H9 2.164 -1.249 0.000
H10 0.000 -2.499 0.000
H11 -2.164 -1.249 0.000
H12 -2.164 1.249 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40412.43202.80822.43201.40411.09452.16943.42383.90273.42382.1694
C21.40411.40412.43202.80822.43202.16941.09452.16943.42383.90273.4238
C32.43201.40411.40412.43202.80823.42382.16941.09452.16943.42383.9027
C42.80822.43201.40411.40412.43203.90273.42382.16941.09452.16943.4238
C52.43202.80822.43201.40411.40413.42383.90273.42382.16941.09452.1694
C61.40412.43202.80822.43201.40412.16943.42383.90273.42382.16941.0945
H71.09452.16943.42383.90273.42382.16942.49864.32774.99724.32772.4986
H82.16941.09452.16943.42383.90273.42382.49862.49864.32774.99724.3277
H93.42382.16941.09452.16943.42383.90274.32772.49862.49864.32774.9972
H103.90273.42382.16941.09452.16943.42384.99724.32772.49862.49864.3277
H113.42383.90273.42382.16941.09452.16944.32774.99724.32772.49862.4986
H122.16943.42383.90273.42382.16941.09452.49864.32774.99724.32772.4986

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 B97D3/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.670      
2 C 0.670      
3 C 0.670      
4 C 0.670      
5 C 0.670      
6 C 0.670      
7 H -0.670      
8 H -0.670      
9 H -0.670      
10 H -0.670      
11 H -0.670      
12 H -0.670      


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 -32.349 0.000 0.000
y 0.000 -32.349 0.000
z 0.000 0.000 -39.838
Traceless
 xyz
x 3.745 0.000 0.000
y 0.000 3.745 0.000
z 0.000 0.000 -7.490
Polar
3z2-r2-14.979
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 12.536 0.000 0.000
y 0.000 12.536 0.000
z 0.000 0.000 6.818


<r2> (average value of r2) Å2
<r2> 130.196
(<r2>)1/2 11.410