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All results from a given calculation for C4H4 (cyclobutadiene)

using model chemistry: PBEPBEultrafine/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at PBEPBEultrafine/cc-pVDZ
 hartrees
Energy at 0K-154.481939
Energy at 298.15K-154.484879
HF Energy-154.481939
Nuclear repulsion energy97.906073
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 PBEPBEultrafine/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 3179 3161 0.00      
2 Ag 1595 1586 0.00      
3 Ag 1075 1069 0.00      
4 Ag 927 922 0.00      
5 Au 844 839 0.00      
6 Au 512 510 0.00      
7 B1g 829 824 0.00      
8 B1u 3167 3149 26.30      
9 B1u 1599 1590 2.49      
10 B1u 1009 1003 0.26      
11 B2g 576 573 0.00      
12 B2u 3145 3127 13.86      
13 B2u 1202 1196 37.30      
14 B2u 688 684 7.18      
15 B3g 3128 3110 0.00      
16 B3g 1126 1119 0.00      
17 B3g 808 803 0.00      
18 B3u 563 560 99.27      

Unscaled Zero Point Vibrational Energy (zpe) 12985.9 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 12910.6 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 PBEPBEultrafine/cc-pVDZ
ABC
0.55655 0.42167 0.23990

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/cc-pVDZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.674 0.792
C2 0.000 0.674 -0.792
C3 0.000 -0.674 0.792
C4 0.000 -0.674 -0.792
H5 0.000 1.453 1.566
H6 0.000 1.453 -1.566
H7 0.000 -1.453 1.566
H8 0.000 -1.453 -1.566

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8
C11.58361.34732.07921.09822.48302.26293.1749
C21.58362.07921.34732.48301.09823.17492.2629
C31.34732.07921.58362.26293.17491.09822.4830
C42.07921.34731.58363.17492.26292.48301.0982
H51.09822.48302.26293.17493.13152.90564.2718
H62.48301.09823.17492.26293.13154.27182.9056
H72.26293.17491.09822.48302.90564.27183.1315
H83.17492.26292.48301.09824.27182.90563.1315

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 134.807
C1 C3 C4 90.000 C1 C3 H7 135.193
C2 C1 C3 90.000 C2 C1 H5 134.807
C2 C4 C3 90.000 C3 C1 H5 135.193
C4 C2 H6 135.193 C4 C3 H7 134.807
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.018      
2 C 0.018      
3 C 0.018      
4 C 0.018      
5 H -0.018      
6 H -0.018      
7 H -0.018      
8 H -0.018      


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 -26.335 0.000 0.000
y 0.000 -20.960 0.000
z 0.000 0.000 -22.027
Traceless
 xyz
x -4.842 0.000 0.000
y 0.000 3.221 0.000
z 0.000 0.000 1.621
Polar
3z2-r23.242
x2-y2-5.375
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.711 0.000 0.000
y 0.000 7.372 0.000
z 0.000 0.000 6.120


<r2> (average value of r2) Å2
<r2> 58.619
(<r2>)1/2 7.656