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All results from a given calculation for C6H6 (Trimethylenecycopropane)

using model chemistry: PBEPBE/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-231.824034
Energy at 298.15K-231.828389
HF Energy-231.824034
Nuclear repulsion energy188.688672
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/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1' 3085 3053 0.00      
2 A1' 1853 1834 0.00      
3 A1' 1429 1414 0.00      
4 A1' 785 777 0.00      
5 A1" 727 720 0.00      
6 A2' 3173 3140 0.00      
7 A2' 1063 1052 0.00      
8 A2' 490 485 0.00      
9 A2" 853 844 104.45      
10 A2" 215 213 3.87      
11 E' 3174 3141 6.12      
11 E' 3174 3141 6.11      
12 E' 3084 3053 7.98      
12 E' 3084 3053 7.98      
13 E' 1637 1620 3.13      
13 E' 1637 1620 3.13      
14 E' 1397 1383 6.53      
14 E' 1397 1383 6.53      
15 E' 1094 1083 2.35      
15 E' 1094 1083 2.35      
16 E' 787 779 3.76      
16 E' 787 779 3.76      
17 E' 218 215 0.00      
17 E' 218 215 0.00      
18 E" 848 839 0.00      
18 E" 848 839 0.00      
19 E" 743 735 0.00      
19 E" 743 735 0.00      
20 E" 332 328 0.00      
20 E" 332 328 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20148.7 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 19941.2 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/6-31G(2df,p)
ABC
0.13714 0.13714 0.06857

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.834 0.000
C2 0.722 -0.417 0.000
C3 -0.722 -0.417 0.000
C4 0.000 2.174 0.000
C5 1.883 -1.087 0.000
C6 -1.883 -1.087 0.000
H7 -0.934 2.741 0.000
H8 0.934 2.741 0.000
H9 2.841 -0.561 0.000
H10 1.907 -2.179 0.000
H11 -1.907 -2.179 0.000
H12 -2.841 -0.561 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44381.44381.34042.68942.68942.12362.12363.16473.56543.56543.1647
C21.44381.44382.68941.34042.68943.56543.16472.12362.12363.16473.5654
C31.44381.44382.68942.68941.34043.16473.56543.56543.16472.12362.1236
C41.34042.68942.68943.76543.76541.09261.09263.94354.75244.75243.9435
C52.68941.34042.68943.76543.76544.75243.94351.09261.09263.94354.7524
C62.68942.68941.34043.76543.76543.94354.75244.75243.94351.09261.0926
H72.12363.56543.16471.09264.75243.94351.86815.01525.68125.01523.8131
H82.12363.16473.56541.09263.94354.75241.86813.81315.01525.68125.0152
H93.16472.12363.56543.94351.09264.75245.01523.81311.86815.01525.6812
H103.56542.12363.16474.75241.09263.94355.68125.01521.86813.81315.0152
H113.56543.16472.12364.75243.94351.09265.01525.68125.01523.81311.8681
H123.16473.56542.12363.94354.75241.09263.81315.01525.68125.01521.8681

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 121.250 C1 C4 H8 121.250
C2 C1 C3 60.000 C2 C1 C4 150.000
C2 C3 C6 150.000 C2 C5 H9 121.250
C2 C5 H10 121.250 C3 C1 C4 150.000
C3 C2 C5 150.000 C3 C6 H11 121.250
C3 C6 H12 121.250 H7 C4 H8 117.500
H9 C5 H10 117.500 H11 C6 H12 117.500
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.201      
2 C 0.201      
3 C 0.201      
4 C -0.461      
5 C -0.461      
6 C -0.461      
7 H 0.130      
8 H 0.130      
9 H 0.130      
10 H 0.130      
11 H 0.130      
12 H 0.130      


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 -31.447 0.000 0.000
y 0.000 -31.447 0.000
z 0.000 0.000 -38.406
Traceless
 xyz
x 3.480 0.000 0.000
y 0.000 3.480 0.000
z 0.000 0.000 -6.960
Polar
3z2-r2-13.919
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 14.469 0.000 0.000
y 0.000 14.469 0.000
z 0.000 0.000 4.097


<r2> (average value of r2) Å2
<r2> 168.971
(<r2>)1/2 12.999