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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: PBE1PBE/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBE1PBE/cc-pVTZ
 hartrees
Energy at 0K-231.926174
Energy at 298.15K-231.932649
HF Energy-231.926174
Nuclear repulsion energy215.320612
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 PBE1PBE/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 A1 3262 3135 5.69      
2 A1 3237 3110 8.07      
3 A1 3205 3080 0.85      
4 A1 1642 1578 5.42      
5 A1 1432 1376 0.08      
6 A1 1211 1163 3.51      
7 A1 1122 1078 2.45      
8 A1 998 959 0.33      
9 A1 933 897 0.06      
10 A1 777 747 2.65      
11 A1 702 675 7.04      
12 A2 1126 1082 0.00      
13 A2 929 893 0.00      
14 A2 905 869 0.00      
15 A2 806 775 0.00      
16 A2 551 529 0.00      
17 B1 3218 3092 10.59      
18 B1 1132 1088 25.87      
19 B1 1007 968 0.07      
20 B1 779 749 94.01      
21 B1 652 626 2.01      
22 B1 515 495 12.54      
23 B2 3237 3111 5.04      
24 B2 3207 3082 20.95      
25 B2 1347 1295 6.41      
26 B2 1281 1231 3.79      
27 B2 1224 1176 2.06      
28 B2 997 958 0.22      
29 B2 870 836 6.43      
30 B2 830 798 10.79      

Unscaled Zero Point Vibrational Energy (zpe) 21565.9 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 20724.8 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 PBE1PBE/cc-pVTZ
ABC
0.25053 0.17768 0.13118

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.720 0.000 -1.004
C2 -0.720 0.000 -1.004
C3 0.000 1.067 -0.202
C4 0.000 -1.067 -0.202
C5 0.000 0.666 1.244
C6 0.000 -0.666 1.244
H7 1.476 0.000 -1.775
H8 -1.476 0.000 -1.775
H9 0.000 2.095 -0.540
H10 0.000 -2.095 -0.540
H11 0.000 1.343 2.085
H12 0.000 -1.343 2.085

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.43971.51711.51712.45312.45311.07982.32722.26382.26383.44463.4446
C21.43971.51711.51712.45312.45312.32721.07982.26382.26383.44463.4446
C31.51711.51712.13481.50102.25712.40692.40691.08223.18082.30333.3226
C41.51711.51712.13482.25711.50102.40692.40693.18081.08223.32262.3033
C52.45312.45311.50102.25711.33113.42623.42622.28643.28731.07962.1774
C62.45312.45312.25711.50101.33113.42623.42623.28732.28642.17741.0796
H71.07982.32722.40692.40693.42623.42622.95192.84532.84534.34544.3454
H82.32721.07982.40692.40693.42623.42622.95192.84532.84534.34544.3454
H92.26382.26381.08223.18082.28643.28732.84532.84534.19092.73044.3258
H102.26382.26383.18081.08223.28732.28642.84532.84534.19094.32582.7304
H113.44463.44462.30333.32261.07962.17744.34544.34542.73044.32582.6860
H123.44463.44463.32262.30332.17741.07964.34544.34544.32582.73042.6860

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.674 C1 C2 C4 61.674
C1 C2 H8 134.448 C1 C3 C2 56.652
C1 C3 C5 108.744 C1 C3 H9 120.212
C1 C4 C2 56.652 C1 C4 C6 108.744
C1 C4 H10 120.212 C2 C1 C3 61.674
C2 C1 C4 61.674 C2 C1 H7 134.448
C2 C3 C5 108.744 C2 C3 H9 120.212
C2 C4 C6 108.744 C2 C4 H10 120.212
C3 C1 C4 89.430 C3 C1 H7 135.227
C3 C2 C4 89.430 C3 C2 H8 135.227
C3 C5 C6 105.528 C3 C5 H11 125.605
C4 C1 H7 135.227 C4 C2 H8 135.227
C4 C6 C5 105.528 C4 C6 H12 125.605
C5 C3 H9 123.725 C5 C6 H12 128.867
C6 C4 H10 123.725 C6 C5 H11 128.867
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.120      
2 C -0.120      
3 C -0.056      
4 C -0.056      
5 C -0.160      
6 C -0.160      
7 H 0.118      
8 H 0.118      
9 H 0.095      
10 H 0.095      
11 H 0.123      
12 H 0.123      


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 -0.930 0.930
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.384 0.000 0.000
y 0.000 -32.498 0.000
z 0.000 0.000 -33.107
Traceless
 xyz
x -4.582 0.000 0.000
y 0.000 2.747 0.000
z 0.000 0.000 1.834
Polar
3z2-r23.669
x2-y2-4.886
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.937 0.000 0.000
y 0.000 9.286 0.000
z 0.000 0.000 9.336


<r2> (average value of r2) Å2
<r2> 110.147
(<r2>)1/2 10.495