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All results from a given calculation for C6H6 (Benzvalene)

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 C2V 1A1
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-232.102388
Energy at 298.15K-232.108817
HF Energy-232.102388
Nuclear repulsion energy214.298416
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 A1 3278 3141 5.81      
2 A1 3251 3116 9.79      
3 A1 3220 3086 0.77      
4 A1 1638 1570 8.99      
5 A1 1432 1372 0.22      
6 A1 1203 1153 4.05      
7 A1 1115 1068 2.59      
8 A1 994 953 0.24      
9 A1 929 890 0.20      
10 A1 770 738 2.27      
11 A1 692 664 6.31      
12 A2 1119 1073 0.00      
13 A2 911 873 0.00      
14 A2 888 851 0.00      
15 A2 798 765 0.00      
16 A2 545 522 0.00      
17 B1 3231 3096 12.11      
18 B1 1126 1080 26.73      
19 B1 993 952 0.02      
20 B1 769 737 97.30      
21 B1 638 612 3.48      
22 B1 509 488 14.57      
23 B2 3251 3116 5.97      
24 B2 3222 3088 22.62      
25 B2 1343 1287 5.28      
26 B2 1278 1225 5.13      
27 B2 1218 1167 1.73      
28 B2 994 953 0.43      
29 B2 868 832 6.95      
30 B2 825 791 10.09      

Unscaled Zero Point Vibrational Energy (zpe) 21524.2 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 20626.7 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
0.24776 0.17630 0.13007

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.725 0.000 -1.007
C2 -0.725 0.000 -1.007
C3 0.000 1.073 -0.202
C4 0.000 -1.073 -0.202
C5 0.000 0.670 1.248
C6 0.000 -0.670 1.248
H7 1.482 0.000 -1.786
H8 -1.482 0.000 -1.786
H9 0.000 2.107 -0.542
H10 0.000 -2.107 -0.542
H11 0.000 1.350 2.095
H12 0.000 -1.350 2.095

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44931.52431.52432.46202.46201.08602.33982.27602.27603.46003.4600
C21.44931.52431.52432.46202.46202.33981.08602.27602.27603.46003.4600
C31.52431.52432.14531.50542.26752.41942.41941.08853.19752.31393.3388
C41.52431.52432.14532.26751.50542.41942.41943.19751.08853.33882.3139
C52.46202.46201.50542.26751.34023.44243.44242.29543.30391.08602.1905
C62.46202.46202.26751.50541.34023.44243.44243.30392.29542.19051.0860
H71.08602.33982.41942.41943.44243.44242.96362.86042.86044.36784.3678
H82.33981.08602.41942.41943.44243.44242.96362.86042.86044.36784.3678
H92.27602.27601.08853.19752.29543.30392.86042.86044.21362.74314.3478
H102.27602.27603.19751.08853.30392.29542.86042.86044.21364.34782.7431
H113.46003.46002.31393.33881.08602.19054.36784.36782.74314.34782.7004
H123.46003.46003.33882.31392.19051.08604.36784.36784.34782.74312.7004

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.614 C1 C2 C4 61.614
C1 C2 H8 134.203 C1 C3 C2 56.771
C1 C3 C5 108.701 C1 C3 H9 120.257
C1 C4 C2 56.771 C1 C4 C6 108.701
C1 C4 H10 120.257 C2 C1 C3 61.614
C2 C1 C4 61.614 C2 C1 H7 134.203
C2 C3 C5 108.701 C2 C3 H9 120.257
C2 C4 C6 108.701 C2 C4 H10 120.257
C3 C1 C4 89.446 C3 C1 H7 135.234
C3 C2 C4 89.446 C3 C2 H8 135.234
C3 C5 C6 105.511 C3 C5 H11 125.712
C4 C1 H7 135.234 C4 C2 H8 135.234
C4 C6 C5 105.511 C4 C6 H12 125.712
C5 C3 H9 123.685 C5 C6 H12 128.777
C6 C4 H10 123.685 C6 C5 H11 128.777
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 0.606      
2 C 0.606      
3 C 0.629      
4 C 0.629      
5 C 0.247      
6 C 0.247      
7 H -0.513      
8 H -0.513      
9 H -0.544      
10 H -0.544      
11 H -0.426      
12 H -0.426      


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 -0.984 0.984
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.716 0.000 0.000
y 0.000 -32.597 0.000
z 0.000 0.000 -33.436
Traceless
 xyz
x -4.700 0.000 0.000
y 0.000 2.979 0.000
z 0.000 0.000 1.721
Polar
3z2-r23.442
x2-y2-5.119
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.933 0.000 0.000
y 0.000 9.742 0.000
z 0.000 0.000 10.017


<r2> (average value of r2) Å2
<r2> 111.117
(<r2>)1/2 10.541