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All results from a given calculation for C6H6 (Trimethylenecycopropane)

using model chemistry: PBEPBE/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 PBEPBE/aug-cc-pVTZ
 hartrees
Energy at 0K-231.888413
Energy at 298.15K-231.892750
HF Energy-231.888413
Nuclear repulsion energy188.921956
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-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' 3071 3051 0.00      
2 A1' 1827 1815 0.00      
3 A1' 1425 1415 0.00      
4 A1' 783 778 0.00      
5 A1" 713 708 0.00      
6 A2' 3155 3135 0.00      
7 A2' 1064 1057 0.00      
8 A2' 490 487 0.00      
9 A2" 860 855 120.46      
10 A2" 210 208 7.98      
11 E' 3156 3135 6.23      
11 E' 3156 3135 6.23      
12 E' 3070 3050 10.32      
12 E' 3070 3050 10.32      
13 E' 1621 1611 0.61      
13 E' 1621 1611 0.60      
14 E' 1392 1383 8.46      
14 E' 1392 1383 8.45      
15 E' 1092 1085 2.25      
15 E' 1092 1085 2.24      
16 E' 782 777 5.28      
16 E' 782 777 5.28      
17 E' 216 215 0.00      
17 E' 216 215 0.00      
18 E" 856 850 0.00      
18 E" 856 850 0.00      
19 E" 736 731 0.00      
19 E" 736 731 0.00      
20 E" 321 319 0.00      
20 E" 321 319 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20041.6 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 19911.4 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-pVTZ
ABC
0.13746 0.13746 0.06873

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.832 0.000
C2 0.721 -0.416 0.000
C3 -0.721 -0.416 0.000
C4 0.000 2.172 0.000
C5 1.881 -1.086 0.000
C6 -1.881 -1.086 0.000
H7 -0.933 2.736 0.000
H8 0.933 2.736 0.000
H9 2.836 -0.560 0.000
H10 1.903 -2.176 0.000
H11 -1.903 -2.176 0.000
H12 -2.836 -0.560 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44161.44161.33962.68652.68652.11992.11993.15903.55953.55953.1590
C21.44161.44162.68651.33962.68653.55953.15902.11992.11993.15903.5595
C31.44161.44162.68652.68651.33963.15903.55953.55953.15902.11992.1199
C41.33962.68652.68653.76183.76181.09031.09033.93754.74604.74603.9375
C52.68651.33962.68653.76183.76184.74603.93751.09031.09033.93754.7460
C62.68652.68651.33963.76183.76183.93754.74604.74603.93751.09031.0903
H72.11993.55953.15901.09034.74603.93751.86635.00655.67165.00653.8053
H82.11993.15903.55951.09033.93754.74601.86633.80535.00655.67165.0065
H93.15902.11993.55953.93751.09034.74605.00653.80531.86635.00655.6716
H103.55952.11993.15904.74601.09033.93755.67165.00651.86633.80535.0065
H113.55953.15902.11994.74603.93751.09035.00655.67165.00653.80531.8663
H123.15903.55952.11993.93754.74601.09033.80535.00655.67165.00651.8663

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 121.141 C1 C4 H8 121.141
C2 C1 C3 60.000 C2 C1 C4 150.000
C2 C3 C6 150.000 C2 C5 H9 121.142
C2 C5 H10 121.141 C3 C1 C4 150.000
C3 C2 C5 150.000 C3 C6 H11 121.141
C3 C6 H12 121.142 H7 C4 H8 117.717
H9 C5 H10 117.717 H11 C6 H12 117.717
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.374      
2 C 0.374      
3 C 0.374      
4 C -0.825      
5 C -0.825      
6 C -0.825      
7 H 0.226      
8 H 0.226      
9 H 0.226      
10 H 0.226      
11 H 0.226      
12 H 0.226      


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 -32.263 0.000 0.000
y 0.000 -32.263 0.000
z 0.000 0.000 -39.998
Traceless
 xyz
x 3.867 0.000 0.000
y 0.000 3.867 0.000
z 0.000 0.000 -7.734
Polar
3z2-r2-15.469
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 16.331 0.000 0.000
y 0.000 16.331 0.000
z 0.000 0.000 7.144


<r2> (average value of r2) Å2
<r2> 169.269
(<r2>)1/2 13.010