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All results from a given calculation for C4H4 (cyclobutadiene)

using model chemistry: PBE1PBE/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at PBE1PBE/6-31G
 hartrees
Energy at 0K-154.442051
Energy at 298.15K-154.445208
HF Energy-154.442051
Nuclear repulsion energy98.402230
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 PBE1PBE/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 Ag 3328 3181 0.00      
2 Ag 1651 1579 0.00      
3 Ag 1135 1085 0.00      
4 Ag 978 934 0.00      
5 Au 921 880 0.00      
6 Au 549 524 0.00      
7 B1g 903 863 0.00      
8 B1u 3312 3166 22.34      
9 B1u 1654 1581 1.93      
10 B1u 1086 1038 1.46      
11 B2g 653 624 0.00      
12 B2u 3288 3143 7.72      
13 B2u 1285 1229 38.50      
14 B2u 709 677 7.44      
15 B3g 3271 3127 0.00      
16 B3g 1219 1166 0.00      
17 B3g 877 838 0.00      
18 B3u 638 610 178.75      

Unscaled Zero Point Vibrational Energy (zpe) 13727.5 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 13122.1 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 PBE1PBE/6-31G
ABC
0.56274 0.42428 0.24190

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.671 0.791
C2 0.000 0.671 -0.791
C3 0.000 -0.671 0.791
C4 0.000 -0.671 -0.791
H5 0.000 1.440 1.550
H6 0.000 1.440 -1.550
H7 0.000 -1.440 1.550
H8 0.000 -1.440 -1.550

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8
C11.58241.34152.07451.08062.46432.24313.1523
C21.58242.07451.34152.46431.08063.15232.2431
C31.34152.07451.58242.24313.15231.08062.4643
C42.07451.34151.58243.15232.24312.46431.0806
H51.08062.46432.24313.15233.09982.88034.2314
H62.46431.08063.15232.24313.09984.23142.8803
H72.24313.15231.08062.46432.88034.23143.0998
H83.15232.24312.46431.08064.23142.88033.0998

picture of cyclobutadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 90.000 C1 C2 H6 134.599
C1 C3 C4 90.000 C1 C3 H7 135.401
C2 C1 C3 90.000 C2 C1 H5 134.599
C2 C4 C3 90.000 C3 C1 H5 135.401
C4 C2 H6 135.401 C4 C3 H7 134.599
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.182      
2 C -0.182      
3 C -0.182      
4 C -0.182      
5 H 0.182      
6 H 0.182      
7 H 0.182      
8 H 0.182      


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 -26.412 0.000 0.000
y 0.000 -20.572 0.000
z 0.000 0.000 -21.440
Traceless
 xyz
x -5.406 0.000 0.000
y 0.000 3.354 0.000
z 0.000 0.000 2.052
Polar
3z2-r24.104
x2-y2-5.840
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.127 0.000 0.000
y 0.000 6.896 0.000
z 0.000 0.000 5.277


<r2> (average value of r2) Å2
<r2> 57.972
(<r2>)1/2 7.614