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All results from a given calculation for C6H6 (Trimethylenecycopropane)

using model chemistry: PBEPBE/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/cc-pVTZ
 hartrees
Energy at 0K-231.885986
Energy at 298.15K-231.890330
HF Energy-231.885986
Nuclear repulsion energy188.933185
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/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 3050 0.00      
2 A1' 1832 1819 0.00      
3 A1' 1425 1415 0.00      
4 A1' 783 778 0.00      
5 A1" 720 715 0.00      
6 A2' 3157 3135 0.00      
7 A2' 1066 1059 0.00      
8 A2' 493 490 0.00      
9 A2" 858 852 120.02      
10 A2" 209 208 6.44      
11 E' 3158 3136 7.22      
11 E' 3158 3136 7.22      
12 E' 3071 3050 10.85      
12 E' 3071 3050 10.85      
13 E' 1625 1614 1.13      
13 E' 1625 1614 1.13      
14 E' 1393 1383 8.44      
14 E' 1393 1383 8.44      
15 E' 1093 1086 2.42      
15 E' 1093 1086 2.42      
16 E' 782 777 4.62      
16 E' 782 777 4.62      
17 E' 217 215 0.00      
17 E' 217 215 0.00      
18 E" 852 847 0.00      
18 E" 852 847 0.00      
19 E" 738 733 0.00      
19 E" 738 733 0.00      
20 E" 323 321 0.00      
20 E" 323 321 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20059.1 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 19920.7 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/cc-pVTZ
ABC
0.13748 0.13748 0.06874

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/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
C11.44181.44181.33922.68642.68642.11972.11973.15913.55963.55963.1591
C21.44181.44182.68641.33922.68643.55963.15912.11972.11973.15913.5596
C31.44181.44182.68642.68641.33923.15913.55963.55963.15912.11972.1197
C41.33922.68642.68643.76133.76131.09041.09043.93734.74574.74573.9373
C52.68641.33922.68643.76133.76134.74573.93731.09041.09043.93734.7457
C62.68642.68641.33923.76133.76133.93734.74574.74573.93731.09041.0904
H72.11973.55963.15911.09044.74573.93731.86625.00655.67165.00653.8054
H82.11973.15913.55961.09043.93734.74571.86623.80545.00655.67165.0065
H93.15912.11973.55963.93731.09044.74575.00653.80541.86625.00655.6716
H103.55962.11973.15914.74571.09043.93735.67165.00651.86623.80545.0065
H113.55963.15912.11974.74573.93731.09045.00655.67165.00653.80541.8662
H123.15913.55962.11973.93734.74571.09043.80545.00655.67165.00651.8662

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 121.157 C1 C4 H8 121.157
C2 C1 C3 60.000 C2 C1 C4 150.000
C2 C3 C6 150.000 C2 C5 H9 121.157
C2 C5 H10 121.157 C3 C1 C4 150.000
C3 C2 C5 150.000 C3 C6 H11 121.157
C3 C6 H12 121.157 H7 C4 H8 117.687
H9 C5 H10 117.687 H11 C6 H12 117.687
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.038      
2 C 0.038      
3 C 0.038      
4 C -0.256      
5 C -0.256      
6 C -0.256      
7 H 0.109      
8 H 0.109      
9 H 0.109      
10 H 0.109      
11 H 0.109      
12 H 0.109      


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 -32.004 0.000 0.000
y 0.000 -32.004 0.000
z 0.000 0.000 -39.598
Traceless
 xyz
x 3.797 0.000 0.000
y 0.000 3.797 0.000
z 0.000 0.000 -7.595
Polar
3z2-r2-15.189
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 15.499 0.000 0.000
y 0.000 15.499 0.000
z 0.000 0.000 5.307


<r2> (average value of r2) Å2
<r2> 169.059
(<r2>)1/2 13.002