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All results from a given calculation for C6H6 (Benzene)

using model chemistry: mPW1PW91/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 mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-232.217665
Energy at 298.15K-232.224005
HF Energy-232.217665
Nuclear repulsion energy203.367468
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 mPW1PW91/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 3230 3096 0.00 414.54 0.10 0.17
2 A1g 1029 986 0.00 87.88 0.03 0.06
3 A2g 1358 1301 0.00 0.00 0.75 0.86
4 A2u 686 657 115.77 0.00 0.00 0.00
5 B1u 3196 3063 0.00 0.00 0.00 0.00
6 B1u 1005 963 0.00 0.00 0.00 0.00
7 B2g 1006 964 0.00 0.00 0.75 0.86
8 B2g 719 689 0.00 0.00 0.75 0.86
9 B2u 1381 1324 0.00 0.00 0.00 0.00
10 B2u 1167 1118 0.00 0.00 0.00 0.00
11 E1g 863 827 0.00 0.79 0.75 0.86
11 E1g 863 827 0.00 0.78 0.75 0.86
12 E1u 3220 3086 32.25 0.00 0.00 0.00
12 E1u 3220 3086 32.25 0.00 0.00 0.00
13 E1u 1506 1443 6.93 0.00 0.00 0.00
13 E1u 1506 1443 6.93 0.00 0.00 0.00
14 E1u 1068 1023 6.21 0.00 0.00 0.00
14 E1u 1068 1023 6.21 0.00 0.00 0.00
15 E2g 3205 3071 0.00 123.90 0.75 0.86
15 E2g 3205 3071 0.00 123.94 0.75 0.86
16 E2g 1662 1593 0.00 11.92 0.75 0.86
16 E2g 1662 1593 0.00 11.95 0.75 0.86
17 E2g 1194 1144 0.00 6.15 0.75 0.86
17 E2g 1194 1144 0.00 6.13 0.75 0.86
18 E2g 615 589 0.00 2.21 0.75 0.86
18 E2g 615 589 0.00 2.23 0.75 0.86
19 E2u 987 946 0.00 0.00 0.00 0.00
19 E2u 987 946 0.00 0.00 0.00 0.00
20 E2u 410 393 0.00 0.00 0.00 0.00
20 E2u 410 393 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22118.3 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 21195.9 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 mPW1PW91/aug-cc-pVDZ
ABC
0.19011 0.19011 0.09506

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.395 0.000
C2 1.208 0.697 0.000
C3 1.208 -0.697 0.000
C4 0.000 -1.395 0.000
C5 -1.208 -0.697 0.000
C6 -1.208 0.697 0.000
H7 0.000 2.484 0.000
H8 2.151 1.242 0.000
H9 2.151 -1.242 0.000
H10 0.000 -2.484 0.000
H11 -2.151 -1.242 0.000
H12 -2.151 1.242 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39462.41542.78912.41541.39461.08962.15683.40303.87873.40302.1568
C21.39461.39462.41542.78912.41542.15681.08962.15683.40303.87873.4030
C32.41541.39461.39462.41542.78913.40302.15681.08962.15683.40303.8787
C42.78912.41541.39461.39462.41543.87873.40302.15681.08962.15683.4030
C52.41542.78912.41541.39461.39463.40303.87873.40302.15681.08962.1568
C61.39462.41542.78912.41541.39462.15683.40303.87873.40302.15681.0896
H71.08962.15683.40303.87873.40302.15682.48424.30274.96844.30272.4842
H82.15681.08962.15683.40303.87873.40302.48422.48424.30274.96844.3027
H93.40302.15681.08962.15683.40303.87874.30272.48422.48424.30274.9684
H103.87873.40302.15681.08962.15683.40304.96844.30272.48422.48424.3027
H113.40303.87873.40302.15681.08962.15684.30274.96844.30272.48422.4842
H122.15683.40303.87873.40302.15681.08962.48424.30274.96844.30272.4842

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 mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.563      
2 C 0.563      
3 C 0.563      
4 C 0.563      
5 C 0.563      
6 C 0.563      
7 H -0.563      
8 H -0.563      
9 H -0.563      
10 H -0.563      
11 H -0.563      
12 H -0.563      


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 -31.755 0.000 0.000
y 0.000 -31.755 0.000
z 0.000 0.000 -39.915
Traceless
 xyz
x 4.080 0.000 0.000
y 0.000 4.080 0.000
z 0.000 0.000 -8.161
Polar
3z2-r2-16.322
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 12.027 0.000 0.000
y 0.000 12.027 0.000
z 0.000 0.000 6.592


<r2> (average value of r2) Å2
<r2> 128.572
(<r2>)1/2 11.339