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All results from a given calculation for C6H6 (Trimethylenecycopropane)

using model chemistry: M06-2X/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A'
Energy calculated at M06-2X/3-21G
 hartrees
Energy at 0K-230.711810
Energy at 298.15K-230.716380
HF Energy-230.711810
Nuclear repulsion energy189.257835
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 M06-2X/3-21G
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' 3153 3023 0.00      
2 A1' 1928 1848 0.00      
3 A1' 1529 1465 0.00      
4 A1' 783 751 0.00      
5 A1" 769 737 0.00      
6 A2' 3235 3102 0.00      
7 A2' 1142 1095 0.00      
8 A2' 515 494 0.00      
9 A2" 978 937 162.49      
10 A2" 204 195 10.74      
11 E' 3236 3102 2.93      
11 E' 3236 3102 3.07      
12 E' 3153 3022 1.73      
12 E' 3153 3022 1.68      
13 E' 1735 1663 5.40      
13 E' 1735 1663 5.46      
14 E' 1498 1436 10.50      
14 E' 1498 1436 10.49      
15 E' 1168 1120 10.19      
15 E' 1168 1120 10.09      
16 E' 787 754 6.85      
16 E' 787 754 6.84      
17 E' 223 214 0.18      
17 E' 223 214 0.18      
18 E" 976 936 0.00      
18 E" 976 936 0.00      
19 E" 796 763 0.00      
19 E" 796 763 0.00      
20 E" 335 321 0.00      
20 E" 335 321 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21023.3 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 20155.1 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 M06-2X/3-21G
ABC
0.13790 0.13790 0.06895

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.842 0.000
C2 0.729 -0.421 0.000
C3 -0.729 -0.421 0.000
C4 0.000 2.165 0.000
C5 1.875 -1.083 0.000
C6 -1.875 -1.083 0.000
H7 -0.927 2.727 0.000
H8 0.927 2.727 0.000
H9 2.825 -0.561 0.000
H10 1.898 -2.166 0.000
H11 -1.898 -2.166 0.000
H12 -2.825 -0.561 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45791.45791.32382.68712.68712.10122.10123.15443.55713.55713.1544
C21.45791.45792.68711.32382.68713.55713.15442.10122.10123.15443.5571
C31.45791.45792.68712.68711.32383.15443.55713.55713.15442.10122.1012
C41.32382.68712.68713.75073.75071.08391.08393.92644.72974.72973.9264
C52.68711.32382.68713.75073.75074.72973.92641.08391.08393.92644.7297
C62.68712.68711.32383.75073.75073.92644.72974.72973.92641.08391.0839
H72.10123.55713.15441.08394.72973.92641.85394.98935.65094.98933.7970
H82.10123.15443.55711.08393.92644.72971.85393.79704.98935.65094.9893
H93.15442.10123.55713.92641.08394.72974.98933.79701.85394.98935.6509
H103.55712.10123.15444.72971.08393.92645.65094.98931.85393.79704.9893
H113.55713.15442.10124.72973.92641.08394.98935.65094.98933.79701.8539
H123.15443.55712.10123.92644.72971.08393.79704.98935.65094.98931.8539

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 121.223 C1 C4 H8 121.223
C2 C1 C3 60.000 C2 C1 C4 150.000
C2 C3 C6 150.000 C2 C5 H9 121.223
C2 C5 H10 121.223 C3 C1 C4 150.000
C3 C2 C5 150.000 C3 C6 H11 121.223
C3 C6 H12 121.223 H7 C4 H8 117.555
H9 C5 H10 117.555 H11 C6 H12 117.555
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.073      
2 C 0.073      
3 C 0.073      
4 C -0.498      
5 C -0.498      
6 C -0.498      
7 H 0.213      
8 H 0.213      
9 H 0.213      
10 H 0.213      
11 H 0.213      
12 H 0.213      


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 -30.700 0.000 0.000
y 0.000 -30.700 0.000
z 0.000 0.000 -40.222
Traceless
 xyz
x 4.761 0.000 0.000
y 0.000 4.761 0.000
z 0.000 0.000 -9.522
Polar
3z2-r2-19.043
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 12.668 0.000 0.000
y 0.000 12.691 0.000
z 0.000 0.000 2.350


<r2> (average value of r2) Å2
<r2> 168.102
(<r2>)1/2 12.965