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All results from a given calculation for C4H4 (cyclobutadiene)

using model chemistry: PBEPBE/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 PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-154.481934
Energy at 298.15K-154.484870
HF Energy-154.481934
Nuclear repulsion energy97.906590
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/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 3160 0.00      
2 Ag 1596 1587 0.00      
3 Ag 1075 1068 0.00      
4 Ag 927 922 0.00      
5 Au 843 838 0.00      
6 Au 512 509 0.00      
7 B1g 828 823 0.00      
8 B1u 3167 3149 26.29      
9 B1u 1599 1590 2.49      
10 B1u 1009 1003 0.26      
11 B2g 574 571 0.00      
12 B2u 3145 3126 13.85      
13 B2u 1202 1195 37.32      
14 B2u 687 683 7.17      
15 B3g 3127 3109 0.00      
16 B3g 1125 1119 0.00      
17 B3g 808 803 0.00      
18 B3u 561 558 99.26      

Unscaled Zero Point Vibrational Energy (zpe) 12981.9 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 12906.6 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 PBEPBE/cc-pVDZ
ABC
0.55654 0.42168 0.23991

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/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
C11.58361.34732.07921.09822.48302.26293.1748
C21.58362.07921.34732.48301.09823.17482.2629
C31.34732.07921.58362.26293.17481.09822.4830
C42.07921.34731.58363.17482.26292.48301.0982
H51.09822.48302.26293.17483.13142.90564.2718
H62.48301.09823.17482.26293.13144.27182.9056
H72.26293.17481.09822.48302.90564.27183.1314
H83.17482.26292.48301.09824.27182.90563.1314

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 134.806
C1 C3 C4 90.000 C1 C3 H7 135.194
C2 C1 C3 90.000 C2 C1 H5 134.806
C2 C4 C3 90.000 C3 C1 H5 135.194
C4 C2 H6 135.194 C4 C3 H7 134.806
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/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 -4.841 0.000 0.000
y 0.000 3.221 0.000
z 0.000 0.000 1.621
Polar
3z2-r23.241
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 7.373 0.000
z 0.000 0.000 6.120


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