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All results from a given calculation for C4H4 (cyclobutadiene)

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 D2H 1Ag
Energy calculated at PBEPBE/6-311G**
 hartrees
Energy at 0K-154.509842
Energy at 298.15K-154.512789
HF Energy-154.509842
Nuclear repulsion energy98.302126
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 Ag 3173 3144 0.00      
2 Ag 1588 1573 0.00      
3 Ag 1080 1070 0.00      
4 Ag 935 927 0.00      
5 Au 843 835 0.00      
6 Au 514 509 0.00      
7 B1g 838 830 0.00      
8 B1u 3162 3133 28.50      
9 B1u 1590 1576 2.76      
10 B1u 1022 1012 0.53      
11 B2g 568 563 0.00      
12 B2u 3140 3112 17.02      
13 B2u 1211 1200 39.77      
14 B2u 686 680 7.58      
15 B3g 3124 3096 0.00      
16 B3g 1139 1128 0.00      
17 B3g 814 806 0.00      
18 B3u 561 556 129.70      

Unscaled Zero Point Vibrational Energy (zpe) 12993.3 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 12875.1 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 PBEPBE/6-311G**
ABC
0.56250 0.42355 0.24162

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.670 0.791
C2 0.000 0.670 -0.791
C3 0.000 -0.670 0.791
C4 0.000 -0.670 -0.791
H5 0.000 1.444 1.558
H6 0.000 1.444 -1.558
H7 0.000 -1.444 1.558
H8 0.000 -1.444 -1.558

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8
C11.58141.34062.07321.08972.47312.24913.1603
C21.58142.07321.34062.47311.08973.16032.2491
C31.34062.07321.58142.24913.16031.08972.4731
C42.07321.34061.58143.16032.24912.47311.0897
H51.08972.47312.24913.16033.11662.88764.2487
H62.47311.08973.16032.24913.11664.24872.8876
H72.24913.16031.08972.47312.88764.24873.1166
H83.16032.24912.47311.08974.24872.88763.1166

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 134.779
C1 C3 C4 90.000 C1 C3 H7 135.221
C2 C1 C3 90.000 C2 C1 H5 134.779
C2 C4 C3 90.000 C3 C1 H5 135.221
C4 C2 H6 135.221 C4 C3 H7 134.779
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 -0.096      
2 C -0.096      
3 C -0.096      
4 C -0.096      
5 H 0.096      
6 H 0.096      
7 H 0.096      
8 H 0.096      


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 -26.669 0.000 0.000
y 0.000 -20.936 0.000
z 0.000 0.000 -22.000
Traceless
 xyz
x -5.201 0.000 0.000
y 0.000 3.398 0.000
z 0.000 0.000 1.803
Polar
3z2-r23.606
x2-y2-5.733
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.075 0.000 0.000
y 0.000 7.422 0.000
z 0.000 0.000 6.056


<r2> (average value of r2) Å2
<r2> 58.331
(<r2>)1/2 7.637