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All results from a given calculation for C6H6 (Trimethylenecycopropane)

using model chemistry: PBEPBE/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A'
Energy calculated at PBEPBE/aug-cc-pVDZ
 hartrees
Energy at 0K-231.831845
Energy at 298.15K-231.836094
HF Energy-231.831845
Nuclear repulsion energy187.710134
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 PBEPBE/aug-cc-pVDZ
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' 3079 3060 0.00      
2 A1' 1843 1831 0.00      
3 A1' 1409 1401 0.00      
4 A1' 784 779 0.00      
5 A1" 707 703 0.00      
6 A2' 3176 3156 0.00      
7 A2' 1052 1045 0.00      
8 A2' 480 477 0.00      
9 A2" 863 858 120.44      
10 A2" 202 201 8.15      
11 E' 3176 3157 6.83      
11 E' 3176 3157 6.83      
12 E' 3079 3060 10.54      
12 E' 3079 3060 10.54      
13 E' 1628 1618 0.63      
13 E' 1628 1618 0.63      
14 E' 1378 1370 8.06      
14 E' 1378 1370 8.07      
15 E' 1084 1077 2.21      
15 E' 1084 1077 2.21      
16 E' 779 774 5.25      
16 E' 779 774 5.25      
17 E' 214 213 0.00      
17 E' 214 213 0.00      
18 E" 859 853 0.00      
18 E" 859 853 0.00      
19 E" 722 717 0.00      
19 E" 722 717 0.00      
20 E" 302 301 0.00      
20 E" 302 301 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20016.7 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 19894.6 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 PBEPBE/aug-cc-pVDZ
ABC
0.13571 0.13571 0.06785

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.837 0.000
C2 0.725 -0.419 0.000
C3 -0.725 -0.419 0.000
C4 0.000 2.186 0.000
C5 1.893 -1.093 0.000
C6 -1.893 -1.093 0.000
H7 -0.940 2.753 0.000
H8 0.940 2.753 0.000
H9 2.854 -0.563 0.000
H10 1.915 -2.191 0.000
H11 -1.915 -2.191 0.000
H12 -2.854 -0.563 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45021.45021.34862.70362.70362.13412.13413.17923.58243.58243.1792
C21.45021.45022.70361.34862.70363.58243.17922.13412.13413.17923.5824
C31.45021.45022.70362.70361.34863.17923.58243.58243.17922.13412.1341
C41.34862.70362.70363.78613.78611.09781.09783.96274.77694.77693.9627
C52.70361.34862.70363.78613.78614.77693.96271.09781.09783.96274.7769
C62.70362.70361.34863.78613.78613.96274.77694.77693.96271.09781.0978
H72.13413.58243.17921.09784.77693.96271.87965.03905.70875.03903.8291
H82.13413.17923.58241.09783.96274.77691.87963.82915.03905.70875.0390
H93.17922.13413.58243.96271.09784.77695.03903.82911.87965.03905.7087
H103.58242.13413.17924.77691.09783.96275.70875.03901.87963.82915.0390
H113.58243.17922.13414.77693.96271.09785.03905.70875.03903.82911.8796
H123.17923.58242.13413.96274.77691.09783.82915.03905.70875.03901.8796

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 121.121 C1 C4 H8 121.121
C2 C1 C3 60.000 C2 C1 C4 150.000
C2 C3 C6 150.000 C2 C5 H9 121.121
C2 C5 H10 121.121 C3 C1 C4 150.000
C3 C2 C5 150.000 C3 C6 H11 121.121
C3 C6 H12 121.121 H7 C4 H8 117.758
H9 C5 H10 117.758 H11 C6 H12 117.758
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.540      
2 C 0.540      
3 C 0.540      
4 C 0.500      
5 C 0.500      
6 C 0.500      
7 H -0.520      
8 H -0.520      
9 H -0.520      
10 H -0.520      
11 H -0.520      
12 H -0.520      


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 -32.326 0.000 0.000
y 0.000 -32.326 0.000
z 0.000 0.000 -40.157
Traceless
 xyz
x 3.915 0.000 0.000
y 0.000 3.915 0.000
z 0.000 0.000 -7.830
Polar
3z2-r2-15.660
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 16.549 0.000 0.000
y 0.000 16.549 0.000
z 0.000 0.000 7.179


<r2> (average value of r2) Å2
<r2> 171.233
(<r2>)1/2 13.086