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All results from a given calculation for C6H6 (Trimethylenecycopropane)

using model chemistry: PBE1PBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A'
Energy calculated at PBE1PBE/6-31G**
 hartrees
Energy at 0K-231.824625
Energy at 298.15K-231.829181
HF Energy-231.824625
Nuclear repulsion energy189.515477
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/6-31G**
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' 3191 3041 0.00      
2 A1' 1933 1843 0.00      
3 A1' 1495 1425 0.00      
4 A1' 817 779 0.00      
5 A1" 755 720 0.00      
6 A2' 3279 3125 0.00      
7 A2' 1108 1056 0.00      
8 A2' 507 483 0.00      
9 A2" 903 861 140.64      
10 A2" 218 208 4.68      
11 E' 3280 3126 7.14      
11 E' 3280 3126 7.14      
12 E' 3190 3041 9.89      
12 E' 3190 3041 9.89      
13 E' 1724 1643 4.26      
13 E' 1724 1643 4.26      
14 E' 1461 1392 9.04      
14 E' 1461 1392 9.04      
15 E' 1141 1087 5.20      
15 E' 1141 1087 5.20      
16 E' 819 781 5.19      
16 E' 819 781 5.19      
17 E' 224 213 0.00      
17 E' 224 213 0.00      
18 E" 899 856 0.00      
18 E" 899 856 0.00      
19 E" 777 740 0.00      
19 E" 777 740 0.00      
20 E" 351 335 0.00      
20 E" 351 335 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20967.9 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 19984.5 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/6-31G**
ABC
0.13832 0.13832 0.06916

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.832 0.000
C2 0.720 -0.416 0.000
C3 -0.720 -0.416 0.000
C4 0.000 2.164 0.000
C5 1.874 -1.082 0.000
C6 -1.874 -1.082 0.000
H7 -0.929 2.728 0.000
H8 0.929 2.728 0.000
H9 2.827 -0.559 0.000
H10 1.898 -2.168 0.000
H11 -1.898 -2.168 0.000
H12 -2.827 -0.559 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44051.44051.33282.67892.67892.11132.11133.15043.54983.54983.1504
C21.44051.44052.67891.33282.67893.54983.15042.11132.11133.15043.5498
C31.44051.44052.67892.67891.33283.15043.54983.54983.15042.11132.1113
C41.33282.67892.67893.74893.74891.08621.08623.92554.73004.73003.9255
C52.67891.33282.67893.74893.74894.73003.92551.08621.08623.92554.7300
C62.67892.67891.33283.74893.74893.92554.73004.73003.92551.08621.0862
H72.11133.54983.15041.08624.73003.92551.85764.99085.65324.99083.7957
H82.11133.15043.54981.08623.92554.73001.85763.79574.99085.65324.9908
H93.15042.11133.54983.92551.08624.73004.99083.79571.85764.99085.6532
H103.54982.11133.15044.73001.08623.92555.65324.99081.85763.79574.9908
H113.54983.15042.11134.73003.92551.08624.99085.65324.99083.79571.8576
H123.15043.54982.11133.92554.73001.08623.79574.99085.65324.99081.8576

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 121.235 C1 C4 H8 121.235
C2 C1 C3 60.000 C2 C1 C4 150.000
C2 C3 C6 150.000 C2 C5 H9 121.235
C2 C5 H10 121.235 C3 C1 C4 150.000
C3 C2 C5 150.000 C3 C6 H11 121.235
C3 C6 H12 121.235 H7 C4 H8 117.531
H9 C5 H10 117.531 H11 C6 H12 117.531
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.127      
2 C 0.127      
3 C 0.127      
4 C -0.497      
5 C -0.497      
6 C -0.497      
7 H 0.185      
8 H 0.185      
9 H 0.185      
10 H 0.185      
11 H 0.185      
12 H 0.185      


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 -30.838 0.000 0.000
y 0.000 -30.838 0.000
z 0.000 0.000 -38.819
Traceless
 xyz
x 3.990 0.000 0.000
y 0.000 3.990 0.000
z 0.000 0.000 -7.981
Polar
3z2-r2-15.962
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 13.903 0.000 0.000
y 0.000 13.903 0.000
z 0.000 0.000 3.231


<r2> (average value of r2) Å2
<r2> 167.513
(<r2>)1/2 12.943