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All results from a given calculation for C6H6 (Trimethylenecycopropane)

using model chemistry: mPW1PW91/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A'
Energy calculated at mPW1PW91/aug-cc-pVTZ
 hartrees
Energy at 0K-232.133729
Energy at 298.15K-232.138285
HF Energy-232.133729
Nuclear repulsion energy190.351595
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 mPW1PW91/aug-cc-pVTZ
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' 3163 3030 0.00      
2 A1' 1903 1824 0.00      
3 A1' 1477 1415 0.00      
4 A1' 808 774 0.00      
5 A1" 740 709 0.00      
6 A2' 3252 3115 0.00      
7 A2' 1107 1061 0.00      
8 A2' 510 488 0.00      
9 A2" 918 880 126.16      
10 A2" 217 208 8.95      
11 E' 3252 3116 4.67      
11 E' 3252 3116 4.67      
12 E' 3163 3030 8.46      
12 E' 3163 3030 8.46      
13 E' 1701 1630 1.24      
13 E' 1701 1630 1.24      
14 E' 1444 1384 12.09      
14 E' 1444 1384 12.10      
15 E' 1133 1086 3.82      
15 E' 1133 1086 3.82      
16 E' 811 777 7.78      
16 E' 811 777 7.78      
17 E' 226 216 0.01      
17 E' 226 216 0.01      
18 E" 913 875 0.00      
18 E" 913 875 0.00      
19 E" 769 737 0.00      
19 E" 769 737 0.00      
20 E" 335 321 0.00      
20 E" 335 321 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20792.8 cm-1
Scaled (by 0.9581) Zero Point Vibrational Energy (zpe) 19921.6 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 mPW1PW91/aug-cc-pVTZ
ABC
0.13955 0.13955 0.06977

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVTZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.828 0.000
C2 0.717 -0.414 0.000
C3 -0.717 -0.414 0.000
C4 0.000 2.155 0.000
C5 1.866 -1.077 0.000
C6 -1.866 -1.077 0.000
H7 -0.926 2.714 0.000
H8 0.926 2.714 0.000
H9 2.813 -0.555 0.000
H10 1.887 -2.159 0.000
H11 -1.887 -2.159 0.000
H12 -2.813 -0.555 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.43501.43501.32652.66752.66752.10032.10033.13483.53333.53333.1348
C21.43501.43502.66751.32652.66753.53333.13482.10032.10033.13483.5333
C31.43501.43502.66752.66751.32653.13483.53333.53333.13482.10032.1003
C41.32652.66752.66753.73253.73251.08151.08153.90594.70844.70843.9059
C52.66751.32652.66753.73253.73254.70843.90591.08151.08153.90594.7084
C62.66752.66751.32653.73253.73253.90594.70844.70843.90591.08151.0815
H72.10033.53333.13481.08154.70843.90591.85204.96625.62614.96623.7741
H82.10033.13483.53331.08153.90594.70841.85203.77414.96625.62614.9662
H93.13482.10033.53333.90591.08154.70844.96623.77411.85204.96625.6261
H103.53332.10033.13484.70841.08153.90595.62614.96621.85203.77414.9662
H113.53333.13482.10034.70843.90591.08154.96625.62614.96623.77411.8520
H123.13483.53332.10033.90594.70841.08153.77414.96625.62614.96621.8520

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 121.101 C1 C4 H8 121.101
C2 C1 C3 60.000 C2 C1 C4 150.000
C2 C3 C6 150.000 C2 C5 H9 121.101
C2 C5 H10 121.101 C3 C1 C4 150.000
C3 C2 C5 150.000 C3 C6 H11 121.101
C3 C6 H12 121.101 H7 C4 H8 117.798
H9 C5 H10 117.798 H11 C6 H12 117.798
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.425      
2 C 0.425      
3 C 0.425      
4 C -0.820      
5 C -0.820      
6 C -0.820      
7 H 0.197      
8 H 0.197      
9 H 0.197      
10 H 0.197      
11 H 0.197      
12 H 0.197      


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 -31.634 0.000 0.000
y 0.000 -31.634 0.000
z 0.000 0.000 -39.763
Traceless
 xyz
x 4.064 0.000 0.000
y 0.000 4.064 0.000
z 0.000 0.000 -8.128
Polar
3z2-r2-16.256
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 15.673 0.000 0.000
y 0.000 15.673 0.000
z 0.000 0.000 6.906


<r2> (average value of r2) Å2
<r2> 166.720
(<r2>)1/2 12.912