return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H6 (Trimethylenecycopropane)

using model chemistry: M06-2X/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-232.013508
Energy at 298.15K-232.017967
HF Energy-232.013508
Nuclear repulsion energy189.391925
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/6-31+G**
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' 3166 3015 0.00      
2 A1' 1926 1834 0.00      
3 A1' 1476 1406 0.00      
4 A1' 811 772 0.00      
5 A1" 741 705 0.00      
6 A2' 3261 3105 0.00      
7 A2' 1098 1046 0.00      
8 A2' 495 471 0.00      
9 A2" 927 883 151.14      
10 A2" 208 198 9.12      
11 E' 3261 3105 4.68      
11 E' 3261 3105 4.64      
12 E' 3166 3015 4.08      
12 E' 3166 3015 4.17      
13 E' 1724 1642 2.99      
13 E' 1724 1642 3.02      
14 E' 1444 1375 11.30      
14 E' 1444 1375 11.24      
15 E' 1129 1075 5.30      
15 E' 1129 1075 5.33      
16 E' 809 771 7.96      
16 E' 809 771 7.95      
17 E' 215 204 0.00      
17 E' 215 204 0.00      
18 E" 924 880 0.00      
18 E" 924 880 0.00      
19 E" 773 736 0.00      
19 E" 773 736 0.00      
20 E" 328 313 0.00      
20 E" 328 313 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20826.8 cm-1
Scaled (by 0.9522) Zero Point Vibrational Energy (zpe) 19831.2 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 M06-2X/6-31+G**
ABC
0.13812 0.13812 0.06906

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31+G**

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 2.166 0.000
C5 1.876 -1.083 0.000
C6 -1.876 -1.083 0.000
H7 -0.930 2.724 0.000
H8 0.930 2.724 0.000
H9 2.825 -0.557 0.000
H10 1.894 -2.168 0.000
H11 -1.894 -2.168 0.000
H12 -2.825 -0.557 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44491.44491.33202.68252.68252.10682.10683.14853.54993.54993.1485
C21.44491.44492.68251.33202.68253.54993.14852.10682.10683.14853.5499
C31.44491.44492.68252.68251.33203.14853.54993.54993.14852.10682.1068
C41.33202.68252.68253.75213.75211.08501.08503.92334.73014.73013.9233
C52.68251.33202.68253.75213.75214.73013.92331.08501.08503.92334.7301
C62.68252.68251.33203.75213.75213.92334.73014.73013.92331.08501.0850
H72.10683.54993.14851.08504.73013.92331.86074.98655.64934.98653.7886
H82.10683.14853.54991.08503.92334.73011.86073.78864.98655.64934.9865
H93.14852.10683.54993.92331.08504.73014.98653.78861.86074.98655.6493
H103.54992.10683.14854.73011.08503.92335.64934.98651.86073.78864.9865
H113.54993.14852.10684.73013.92331.08504.98655.64934.98653.78861.8607
H123.14853.54992.10683.92334.73011.08503.78864.98655.64934.98651.8607

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 120.965 C1 C4 H8 120.965
C2 C1 C3 60.000 C2 C1 C4 150.000
C2 C3 C6 150.000 C2 C5 H9 120.965
C2 C5 H10 120.965 C3 C1 C4 150.000
C3 C2 C5 150.000 C3 C6 H11 120.965
C3 C6 H12 120.965 H7 C4 H8 118.070
H9 C5 H10 118.071 H11 C6 H12 118.071
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.130      
2 C -0.130      
3 C -0.130      
4 C -0.195      
5 C -0.195      
6 C -0.195      
7 H 0.162      
8 H 0.162      
9 H 0.162      
10 H 0.162      
11 H 0.162      
12 H 0.162      


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 -31.580 0.000 0.000
y 0.000 -31.580 0.000
z 0.000 0.000 -40.522
Traceless
 xyz
x 4.471 0.000 0.000
y 0.000 4.471 0.000
z 0.000 0.000 -8.942
Polar
3z2-r2-17.884
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 15.025 0.000 0.000
y 0.000 15.055 0.000
z 0.000 0.000 6.006


<r2> (average value of r2) Å2
<r2> 168.311
(<r2>)1/2 12.973