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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: PBEPBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-231.837040
Energy at 298.15K-231.843252
HF Energy-231.837040
Nuclear repulsion energy212.692624
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 PBEPBE/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 A1 3187 3169 7.29      
2 A1 3141 3123 12.89      
3 A1 3121 3103 0.01      
4 A1 1582 1573 4.13      
5 A1 1378 1370 0.11      
6 A1 1159 1153 2.11      
7 A1 1072 1066 2.22      
8 A1 958 952 0.40      
9 A1 895 890 0.02      
10 A1 739 735 1.57      
11 A1 657 653 7.28      
12 A2 1063 1057 0.00      
13 A2 871 866 0.00      
14 A2 850 845 0.00      
15 A2 759 755 0.00      
16 A2 527 524 0.00      
17 B1 3118 3100 15.87      
18 B1 1077 1071 21.29      
19 B1 949 943 0.08      
20 B1 740 736 76.35      
21 B1 614 610 0.26      
22 B1 496 493 8.97      
23 B2 3161 3143 5.14      
24 B2 3126 3108 24.08      
25 B2 1289 1282 3.97      
26 B2 1221 1214 4.44      
27 B2 1165 1158 1.53      
28 B2 952 946 0.35      
29 B2 835 830 5.23      
30 B2 795 791 10.95      

Unscaled Zero Point Vibrational Energy (zpe) 20749.2 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 20628.9 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 PBEPBE/cc-pVDZ
ABC
0.24401 0.17375 0.12824

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.731 0.000 -1.015
C2 -0.731 0.000 -1.015
C3 0.000 1.079 -0.201
C4 0.000 -1.079 -0.201
C5 0.000 0.676 1.256
C6 0.000 -0.676 1.256
H7 1.497 0.000 -1.802
H8 -1.497 0.000 -1.802
H9 0.000 2.123 -0.546
H10 0.000 -2.123 -0.546
H11 0.000 1.364 2.109
H12 0.000 -1.364 2.109

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46121.53671.53672.47992.47991.09822.36242.29392.29393.48683.4868
C21.46121.53671.53672.47992.47992.36241.09822.29392.29393.48683.4868
C31.53671.53672.15861.51222.28132.44292.44291.09953.22112.32813.3629
C41.53671.53672.15862.28131.51222.44292.44293.22111.09953.36292.3281
C52.47992.47991.51222.28131.35163.47123.47122.31163.32921.09622.2111
C62.47992.47992.28131.51221.35163.47123.47123.32922.31162.21111.0962
H71.09822.36242.44292.44293.47123.47122.99412.88542.88544.40444.4044
H82.36241.09822.44292.44293.47123.47122.99412.88542.88544.40444.4044
H92.29392.29391.09953.22112.31163.32922.88542.88544.24642.76204.3833
H102.29392.29393.22111.09953.32922.31162.88542.88544.24644.38332.7620
H113.48683.48682.32813.36291.09622.21114.40444.40442.76204.38332.7282
H123.48683.48683.36292.32812.21111.09624.40444.40444.38332.76202.7282

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.612 C1 C2 C4 61.612
C1 C2 H8 134.260 C1 C3 C2 56.776
C1 C3 C5 108.853 C1 C3 H9 120.041
C1 C4 C2 56.776 C1 C4 C6 108.853
C1 C4 H10 120.041 C2 C1 C3 61.612
C2 C1 C4 61.612 C2 C1 H7 134.260
C2 C3 C5 108.853 C2 C3 H9 120.041
C2 C4 C6 108.853 C2 C4 H10 120.041
C3 C1 C4 89.233 C3 C1 H7 135.335
C3 C2 C4 89.233 C3 C2 H8 135.335
C3 C5 C6 105.476 C3 C5 H11 125.632
C4 C1 H7 135.335 C4 C2 H8 135.335
C4 C6 C5 105.476 C4 C6 H12 125.632
C5 C3 H9 123.766 C5 C6 H12 128.892
C6 C4 H10 123.766 C6 C5 H11 128.892
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.027      
2 C 0.027      
3 C -0.019      
4 C -0.019      
5 C 0.050      
6 C 0.050      
7 H -0.014      
8 H -0.014      
9 H -0.021      
10 H -0.021      
11 H -0.023      
12 H -0.023      


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 -0.881 0.881
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.342 0.000 0.000
y 0.000 -32.784 0.000
z 0.000 0.000 -33.137
Traceless
 xyz
x -4.381 0.000 0.000
y 0.000 2.456 0.000
z 0.000 0.000 1.925
Polar
3z2-r23.851
x2-y2-4.558
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.271 0.000 0.000
y 0.000 9.221 0.000
z 0.000 0.000 9.314


<r2> (average value of r2) Å2
<r2> 112.363
(<r2>)1/2 10.600