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All results from a given calculation for C6H6 (Trimethylenecycopropane)

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/cc-pVDZ
 hartrees
Energy at 0K-231.819736
Energy at 298.15K-231.824058
HF Energy-231.819736
Nuclear repulsion energy187.731012
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 PBEPBEultrafine/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' 3077 3059 0.00      
2 A1' 1857 1847 0.00      
3 A1' 1406 1397 0.00      
4 A1' 788 783 0.00      
5 A1" 714 710 0.00      
6 A2' 3177 3159 0.00      
7 A2' 1053 1047 0.00      
8 A2' 485 482 0.00      
9 A2" 848 843 99.90      
10 A2" 210 209 5.08      
11 E' 3178 3159 6.18      
11 E' 3178 3159 6.18      
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' 1376 1368 6.59      
14 E' 1376 1368 6.59      
15 E' 1084 1078 2.77      
15 E' 1084 1078 2.77      
16 E' 783 778 3.55      
16 E' 783 778 3.55      
17 E' 215 214 0.00      
17 E' 215 214 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) 20065.3 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 19948.9 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 PBEPBEultrafine/cc-pVDZ
ABC
0.13580 0.13580 0.06790

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/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
C11.45041.45041.34772.70292.70292.13352.13353.17753.58203.58203.1775
C21.45041.45042.70291.34772.70293.58203.17752.13352.13353.17753.5820
C31.45041.45042.70292.70291.34773.17753.58203.58203.17752.13352.1335
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
H72.13353.58203.17751.09974.77633.95941.88555.03745.70815.03743.8227
H82.13353.17753.58201.09973.95944.77631.88553.82275.03745.70815.0374
H93.17752.13353.58203.95941.09974.77635.03743.82271.88555.03745.7081
H103.58202.13353.17754.77631.09973.95945.70815.03741.88553.82275.0374
H113.58203.17752.13354.77633.95941.09975.03745.70815.03743.82271.8855
H123.17753.58202.13353.95944.77631.09973.82275.03745.70815.03741.8855

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 120.990 C1 C4 H8 120.990
C2 C1 C3 60.000 C2 C1 C4 150.000
C2 C3 C6 150.000 C2 C5 H9 120.990
C2 C5 H10 120.990 C3 C1 C4 150.000
C3 C2 C5 150.000 C3 C6 H11 120.990
C3 C6 H12 120.990 H7 C4 H8 118.020
H9 C5 H10 118.020 H11 C6 H12 118.020
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/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 3.633 0.000 0.000
y 0.000 3.633 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 14.930 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