return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C4H6 (Cyclobutene)

using model chemistry: PBEPBE/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/6-311G*
 hartrees
Energy at 0K-155.786257
Energy at 298.15K-155.792389
Nuclear repulsion energy112.708016
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/6-311G*
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 3121 3088 33.61      
2 A1 2972 2942 54.68      
3 A1 1594 1577 0.77      
4 A1 1449 1434 0.59      
5 A1 1175 1163 3.22      
6 A1 1110 1098 0.04      
7 A1 980 970 0.15      
8 A1 884 874 1.70      
9 A2 3006 2974 0.00      
10 A2 1138 1126 0.00      
11 A2 1006 996 0.00      
12 A2 886 877 0.00      
13 A2 311 307 0.00      
14 B1 3020 2989 63.50      
15 B1 1072 1060 3.97      
16 B1 845 836 15.30      
17 B1 621 614 53.06      
18 B2 3088 3056 27.13      
19 B2 2967 2936 50.43      
20 B2 1428 1413 1.05      
21 B2 1281 1268 13.98      
22 B2 1189 1177 4.71      
23 B2 886 876 15.46      
24 B2 839 830 0.62      

Unscaled Zero Point Vibrational Energy (zpe) 18432.6 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 18240.9 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/6-311G*
ABC
0.42821 0.40695 0.22677

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.674 0.815
C2 0.000 -0.674 0.815
C3 0.000 0.786 -0.700
C4 0.000 -0.786 -0.700
H5 0.000 1.429 1.607
H6 0.000 -1.429 1.607
H7 0.895 1.249 -1.149
H8 -0.895 -1.249 -1.149
H9 -0.895 1.249 -1.149
H10 0.895 -1.249 -1.149

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10
C11.34731.51922.10411.09442.24652.23382.89072.23382.8907
C21.34732.10411.51922.24651.09442.89072.23382.89072.2338
C31.51922.10411.57292.39503.19841.10292.26861.10292.2686
C42.10411.51921.57293.19842.39502.26861.10292.26861.1029
H51.09442.24652.39503.19842.85712.90363.94592.90363.9459
H62.24651.09443.19842.39502.85713.94592.90363.94592.9036
H72.23382.89071.10292.26862.90363.94593.07321.78922.4986
H82.89072.23382.26861.10293.94592.90363.07322.49861.7892
H92.23382.89071.10292.26862.90363.94591.78922.49863.0732
H102.89072.23382.26861.10293.94592.90362.49861.78923.0732

picture of Cyclobutene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 94.259 C1 C2 H6 133.616
C1 C3 C4 85.741 C1 C3 H7 115.938
C1 C3 H9 115.938 C2 C1 C3 94.259
C2 C1 H5 133.616 C2 C4 C3 85.741
C2 C4 H8 115.938 C2 C4 H10 115.938
C3 C1 H5 132.125 C3 C4 H8 114.812
C3 C4 H10 114.812 C4 C2 H6 132.125
C4 C3 H7 114.812 C4 C3 H9 114.812
H7 C3 H9 108.416 H8 C4 H10 108.416
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.167      
2 C -0.167      
3 C -0.437      
4 C -0.437      
5 H 0.172      
6 H 0.172      
7 H 0.216      
8 H 0.216      
9 H 0.216      
10 H 0.216      


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 -0.168 0.168
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.161 0.000 0.000
y 0.000 -24.312 0.000
z 0.000 0.000 -24.719
Traceless
 xyz
x -1.645 0.000 0.000
y 0.000 1.128 0.000
z 0.000 0.000 0.517
Polar
3z2-r21.034
x2-y2-1.849
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.623 0.000 0.000
y 0.000 7.477 0.000
z 0.000 0.000 6.758


<r2> (average value of r2) Å2
<r2> 66.349
(<r2>)1/2 8.145