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/6-31G**

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/6-31G**
 hartrees
Energy at 0K-155.763494
Energy at 298.15K-155.769629
Nuclear repulsion energy112.633331
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/6-31G**
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 3146 3103 27.28      
2 A1 2987 2946 44.63      
3 A1 1608 1586 0.86      
4 A1 1448 1428 0.02      
5 A1 1180 1164 1.57      
6 A1 1116 1101 0.00      
7 A1 990 976 0.11      
8 A1 887 875 1.11      
9 A2 3026 2985 0.00      
10 A2 1135 1119 0.00      
11 A2 1004 990 0.00      
12 A2 900 888 0.00      
13 A2 308 304 0.00      
14 B1 3039 2998 50.53      
15 B1 1068 1054 3.25      
16 B1 851 839 11.57      
17 B1 627 618 42.20      
18 B2 3114 3072 18.08      
19 B2 2982 2941 42.56      
20 B2 1427 1407 0.11      
21 B2 1292 1274 10.86      
22 B2 1192 1175 3.78      
23 B2 894 882 12.32      
24 B2 833 821 1.31      

Unscaled Zero Point Vibrational Energy (zpe) 18526.1 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 18272.3 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/6-31G**
ABC
0.42724 0.40690 0.22652

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.675 0.815
C2 0.000 -0.675 0.815
C3 0.000 0.787 -0.700
C4 0.000 -0.787 -0.700
H5 0.000 1.433 1.606
H6 0.000 -1.433 1.606
H7 0.896 1.249 -1.150
H8 -0.896 -1.249 -1.150
H9 -0.896 1.249 -1.150
H10 0.896 -1.249 -1.150

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10
C11.35041.51902.10531.09462.25102.23512.89312.23512.8931
C21.35042.10531.51902.25101.09462.89312.23512.89312.2351
C31.51902.10531.57352.39393.19991.10422.26951.10422.2695
C42.10531.51901.57353.19992.39392.26951.10422.26951.1042
H51.09462.25102.39393.19992.86512.90373.94852.90373.9485
H62.25101.09463.19992.39392.86513.94852.90373.94852.9037
H72.23512.89311.10422.26952.90373.94853.07431.79102.4987
H82.89312.23512.26951.10423.94852.90373.07432.49871.7910
H92.23512.89311.10422.26952.90373.94851.79102.49873.0743
H102.89312.23512.26951.10423.94852.90372.49871.79103.0743

picture of Cyclobutene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 94.211 C1 C2 H6 133.781
C1 C3 C4 85.789 C1 C3 H7 115.976
C1 C3 H9 115.976 C2 C1 C3 94.211
C2 C1 H5 133.781 C2 C4 C3 85.789
C2 C4 H8 115.976 C2 C4 H10 115.976
C3 C1 H5 132.008 C3 C4 H8 114.769
C3 C4 H10 114.769 C4 C2 H6 132.008
C4 C3 H7 114.769 C4 C3 H9 114.769
H7 C3 H9 108.388 H8 C4 H10 108.388
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.073      
2 C -0.073      
3 C -0.255      
4 C -0.255      
5 H 0.086      
6 H 0.086      
7 H 0.121      
8 H 0.121      
9 H 0.121      
10 H 0.121      


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 -0.179 0.179
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.549 0.000 0.000
y 0.000 -23.827 0.000
z 0.000 0.000 -24.225
Traceless
 xyz
x -1.523 0.000 0.000
y 0.000 1.060 0.000
z 0.000 0.000 0.463
Polar
3z2-r20.926
x2-y2-1.723
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.209 0.000 0.000
y 0.000 7.078 0.000
z 0.000 0.000 6.379


<r2> (average value of r2) Å2
<r2> 66.077
(<r2>)1/2 8.129