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All results from a given calculation for C6H6 (Trimethylenecycopropane)

using model chemistry: B3PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A'
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-230.736729
Energy at 298.15K-230.741337
HF Energy-230.736729
Nuclear repulsion energy189.150348
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 B3PW91/3-21G
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' 3165 3042 0.00      
2 A1' 1902 1828 0.00      
3 A1' 1522 1463 0.00      
4 A1' 781 750 0.00      
5 A1" 765 735 0.00      
6 A2' 3250 3124 0.00      
7 A2' 1136 1092 0.00      
8 A2' 520 500 0.00      
9 A2" 939 902 178.60      
10 A2" 218 210 9.46      
11 E' 3251 3125 6.90      
11 E' 3251 3125 6.90      
12 E' 3164 3042 6.71      
12 E' 3164 3042 6.71      
13 E' 1707 1641 3.52      
13 E' 1707 1641 3.52      
14 E' 1491 1433 10.39      
14 E' 1491 1433 10.39      
15 E' 1163 1118 9.09      
15 E' 1163 1118 9.09      
16 E' 786 756 5.46      
16 E' 786 756 5.46      
17 E' 229 220 0.18      
17 E' 229 220 0.18      
18 E" 936 899 0.00      
18 E" 936 899 0.00      
19 E" 785 755 0.00      
19 E" 785 755 0.00      
20 E" 351 337 0.00      
20 E" 351 337 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20962.3 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 20149.0 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 B3PW91/3-21G
ABC
0.13776 0.13776 0.06888

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.839 0.000
C2 0.727 -0.420 0.000
C3 -0.727 -0.420 0.000
C4 0.000 2.167 0.000
C5 1.877 -1.084 0.000
C6 -1.877 -1.084 0.000
H7 -0.928 2.731 0.000
H8 0.928 2.731 0.000
H9 2.829 -0.562 0.000
H10 1.901 -2.169 0.000
H11 -1.901 -2.169 0.000
H12 -2.829 -0.562 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45371.45371.32782.68702.68702.10712.10713.15723.55893.55893.1572
C21.45371.45372.68701.32782.68703.55893.15722.10712.10713.15723.5589
C31.45371.45372.68702.68701.32783.15723.55893.55893.15722.10712.1071
C41.32782.68702.68703.75363.75361.08581.08583.93094.73484.73483.9309
C52.68701.32782.68703.75363.75364.73483.93091.08581.08583.93094.7348
C62.68702.68701.32783.75363.75363.93094.73484.73483.93091.08581.0858
H72.10713.55893.15721.08584.73483.93091.85584.99605.65834.99603.8025
H82.10713.15723.55891.08583.93094.73481.85583.80254.99605.65834.9960
H93.15722.10713.55893.93091.08584.73484.99603.80251.85584.99605.6583
H103.55892.10713.15724.73481.08583.93095.65834.99601.85583.80254.9960
H113.55893.15722.10714.73483.93091.08584.99605.65834.99603.80251.8558
H123.15723.55892.10713.93094.73481.08583.80254.99605.65834.99601.8558

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 121.290 C1 C4 H8 121.290
C2 C1 C3 60.000 C2 C1 C4 150.000
C2 C3 C6 150.000 C2 C5 H9 121.290
C2 C5 H10 121.290 C3 C1 C4 150.000
C3 C2 C5 150.000 C3 C6 H11 121.290
C3 C6 H12 121.290 H7 C4 H8 117.420
H9 C5 H10 117.420 H11 C6 H12 117.420
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.109      
2 C 0.109      
3 C 0.109      
4 C -0.556      
5 C -0.556      
6 C -0.556      
7 H 0.223      
8 H 0.223      
9 H 0.223      
10 H 0.223      
11 H 0.223      
12 H 0.223      


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 -30.533 0.000 0.000
y 0.000 -30.533 0.000
z 0.000 0.000 -40.014
Traceless
 xyz
x 4.741 0.000 0.000
y 0.000 4.741 0.000
z 0.000 0.000 -9.481
Polar
3z2-r2-18.963
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 13.117 0.000 0.000
y 0.000 13.117 0.000
z 0.000 0.000 2.396


<r2> (average value of r2) Å2
<r2> 168.181
(<r2>)1/2 12.968