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All results from a given calculation for C6H6 (Trimethylenecycopropane)

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 D3H 1A'
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-231.819739
Energy at 298.15K-231.824060
HF Energy-231.819739
Nuclear repulsion energy187.730771
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' 3078 3060 0.00      
2 A1' 1858 1847 0.00      
3 A1' 1405 1397 0.00      
4 A1' 788 783 0.00      
5 A1" 714 710 0.00      
6 A2' 3178 3159 0.00      
7 A2' 1052 1046 0.00      
8 A2' 485 482 0.00      
9 A2" 847 842 99.89      
10 A2" 211 210 5.07      
11 E' 3178 3160 6.17      
11 E' 3178 3160 6.17      
12 E' 3077 3059 8.14      
12 E' 3077 3059 8.14      
13 E' 1638 1629 1.90      
13 E' 1638 1629 1.90      
14 E' 1375 1367 6.59      
14 E' 1375 1367 6.59      
15 E' 1084 1078 2.78      
15 E' 1084 1078 2.78      
16 E' 783 778 3.55      
16 E' 783 778 3.55      
17 E' 214 213 0.00      
17 E' 214 213 0.00      
18 E" 842 837 0.00      
18 E" 842 837 0.00      
19 E" 736 732 0.00      
19 E" 736 732 0.00      
20 E" 330 328 0.00      
20 E" 330 328 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20065.6 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 19949.3 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
0.13580 0.13580 0.06790

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.837 0.000
C2 0.725 -0.419 0.000
C3 -0.725 -0.419 0.000
C4 0.000 2.185 0.000
C5 1.892 -1.093 0.000
C6 -1.892 -1.093 0.000
H7 -0.943 2.751 0.000
H8 0.943 2.751 0.000
H9 2.854 -0.559 0.000
H10 1.911 -2.192 0.000
H11 -1.911 -2.192 0.000
H12 -2.854 -0.559 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45041.45041.34772.70292.70292.13352.13353.17743.58203.58203.1774
C21.45041.45042.70291.34772.70293.58203.17742.13352.13353.17743.5820
C31.45041.45042.70292.70291.34773.17743.58203.58203.17742.13352.1335
C41.34772.70292.70293.78473.78471.09971.09973.95944.77634.77633.9594
C52.70291.34772.70293.78473.78474.77633.95941.09971.09973.95944.7763
C62.70292.70291.34773.78473.78473.95944.77634.77633.95941.09971.0997
H72.13353.58203.17741.09974.77633.95941.88555.03745.70815.03743.8226
H82.13353.17743.58201.09973.95944.77631.88553.82265.03745.70815.0374
H93.17742.13353.58203.95941.09974.77635.03743.82261.88555.03745.7081
H103.58202.13353.17744.77631.09973.95945.70815.03741.88553.82265.0374
H113.58203.17742.13354.77633.95941.09975.03745.70815.03743.82261.8855
H123.17743.58202.13353.95944.77631.09973.82265.03745.70815.03741.8855

picture of Trimethylenecycopropane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 60.000 C1 C2 C5 150.000
C1 C3 C2 60.000 C1 C3 C6 150.000
C1 C4 H7 120.988 C1 C4 H8 120.988
C2 C1 C3 60.000 C2 C1 C4 150.000
C2 C3 C6 150.000 C2 C5 H9 120.988
C2 C5 H10 120.988 C3 C1 C4 150.000
C3 C2 C5 150.000 C3 C6 H11 120.988
C3 C6 H12 120.988 H7 C4 H8 118.024
H9 C5 H10 118.024 H11 C6 H12 118.024
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 -0.042      
2 C -0.042      
3 C -0.042      
4 C -0.028      
5 C -0.028      
6 C -0.028      
7 H 0.035      
8 H 0.035      
9 H 0.035      
10 H 0.035      
11 H 0.035      
12 H 0.035      


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 -31.789 0.000 0.000
y 0.000 -31.789 0.000
z 0.000 0.000 -39.056
Traceless
 xyz
x 3.634 0.000 0.000
y 0.000 3.634 0.000
z 0.000 0.000 -7.267
Polar
3z2-r2-14.534
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 14.931 0.000 0.000
y 0.000 14.931 0.000
z 0.000 0.000 3.819


<r2> (average value of r2) Å2
<r2> 170.684
(<r2>)1/2 13.065