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All results from a given calculation for C6H6 (Trimethylenecycopropane)

using model chemistry: mPW1PW91/6-31+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 mPW1PW91/6-31+G**
 hartrees
Energy at 0K-232.070126
Energy at 298.15K-232.074673
HF Energy-232.070126
Nuclear repulsion energy189.484189
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 mPW1PW91/6-31+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' 3185 3032 0.00      
2 A1' 1916 1824 0.00      
3 A1' 1482 1410 0.00      
4 A1' 813 773 0.00      
5 A1" 745 709 0.00      
6 A2' 3279 3121 0.00      
7 A2' 1105 1052 0.00      
8 A2' 510 485 0.00      
9 A2" 912 868 161.11      
10 A2" 217 207 8.76      
11 E' 3280 3122 5.69      
11 E' 3280 3122 5.68      
12 E' 3185 3032 9.50      
12 E' 3185 3032 9.50      
13 E' 1709 1627 1.22      
13 E' 1709 1627 1.22      
14 E' 1448 1378 10.92      
14 E' 1448 1378 10.92      
15 E' 1135 1080 5.75      
15 E' 1135 1080 5.75      
16 E' 814 775 6.86      
16 E' 814 775 6.86      
17 E' 225 214 0.00      
17 E' 225 214 0.00      
18 E" 908 864 0.00      
18 E" 908 864 0.00      
19 E" 772 735 0.00      
19 E" 772 735 0.00      
20 E" 346 329 0.00      
20 E" 346 329 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20902.7 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 19895.2 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 mPW1PW91/6-31+G**
ABC
0.13823 0.13823 0.06911

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.832 0.000
C2 0.720 -0.416 0.000
C3 -0.720 -0.416 0.000
C4 0.000 2.166 0.000
C5 1.876 -1.083 0.000
C6 -1.876 -1.083 0.000
H7 -0.929 2.726 0.000
H8 0.929 2.726 0.000
H9 2.825 -0.559 0.000
H10 1.896 -2.167 0.000
H11 -1.896 -2.167 0.000
H12 -2.825 -0.559 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44051.44051.33422.68022.68022.10942.10943.14843.54803.54803.1484
C21.44051.44052.68021.33422.68023.54803.14842.10942.10943.14843.5480
C31.44051.44052.68022.68021.33423.14843.54803.54803.14842.10942.1094
C41.33422.68022.68023.75133.75131.08441.08443.92454.72974.72973.9245
C52.68021.33422.68023.75133.75134.72973.92451.08441.08443.92454.7297
C62.68022.68021.33423.75133.75133.92454.72974.72973.92451.08441.0844
H72.10943.54803.14841.08444.72973.92451.85754.98755.64974.98753.7922
H82.10943.14843.54801.08443.92454.72971.85753.79224.98755.64974.9875
H93.14842.10943.54803.92451.08444.72974.98753.79221.85754.98755.6497
H103.54802.10943.14844.72971.08443.92455.64974.98751.85753.79224.9875
H113.54803.14842.10944.72973.92451.08444.98755.64974.98753.79221.8575
H123.14843.54802.10943.92454.72971.08443.79224.98755.64974.98751.8575

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 121.081 C1 C4 H8 121.081
C2 C1 C3 60.000 C2 C1 C4 150.000
C2 C3 C6 150.000 C2 C5 H9 121.081
C2 C5 H10 121.081 C3 C1 C4 150.000
C3 C2 C5 150.000 C3 C6 H11 121.081
C3 C6 H12 121.081 H7 C4 H8 117.838
H9 C5 H10 117.838 H11 C6 H12 117.838
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.008      
2 C 0.008      
3 C 0.008      
4 C -0.347      
5 C -0.347      
6 C -0.347      
7 H 0.170      
8 H 0.170      
9 H 0.170      
10 H 0.170      
11 H 0.170      
12 H 0.170      


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 -31.459 0.000 0.000
y 0.000 -31.459 0.000
z 0.000 0.000 -40.244
Traceless
 xyz
x 4.393 0.000 0.000
y 0.000 4.393 0.000
z 0.000 0.000 -8.785
Polar
3z2-r2-17.570
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 15.347 0.000 0.000
y 0.000 15.347 0.000
z 0.000 0.000 6.100


<r2> (average value of r2) Å2
<r2> 168.113
(<r2>)1/2 12.966