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All results from a given calculation for C4H4 (cyclobutadiene)

using model chemistry: PBE1PBE/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 PBE1PBE/cc-pVDZ
 hartrees
Energy at 0K-154.497612
Energy at 298.15K-154.500700
HF Energy-154.497612
Nuclear repulsion energy98.704148
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/cc-pVDZ
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 3277 3150 0.00      
2 Ag 1662 1598 0.00      
3 Ag 1122 1079 0.00      
4 Ag 964 927 0.00      
5 Au 890 856 0.00      
6 Au 537 517 0.00      
7 B1g 882 848 0.00      
8 B1u 3265 3139 16.92      
9 B1u 1670 1605 2.37      
10 B1u 1046 1006 0.53      
11 B2g 609 585 0.00      
12 B2u 3242 3117 7.61      
13 B2u 1256 1207 39.35      
14 B2u 738 709 9.62      
15 B3g 3225 3100 0.00      
16 B3g 1174 1128 0.00      
17 B3g 839 807 0.00      
18 B3u 594 571 115.65      

Unscaled Zero Point Vibrational Energy (zpe) 13494.1 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 12974.6 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 PBE1PBE/cc-pVDZ
ABC
0.56579 0.42857 0.24386

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVDZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.668 0.785
C2 0.000 0.668 -0.785
C3 0.000 -0.668 0.785
C4 0.000 -0.668 -0.785
H5 0.000 1.441 1.554
H6 0.000 1.441 -1.554
H7 0.000 -1.441 1.554
H8 0.000 -1.441 -1.554

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8
C11.57051.33622.06201.09012.46382.24473.1497
C21.57052.06201.33622.46381.09013.14972.2447
C31.33622.06201.57052.24473.14971.09012.4638
C42.06201.33621.57053.14972.24472.46381.0901
H51.09012.46382.24473.14973.10852.88154.2387
H62.46381.09013.14972.24473.10854.23872.8815
H72.24473.14971.09012.46382.88154.23873.1085
H83.14972.24472.46381.09014.23872.88153.1085

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 134.865
C1 C3 C4 90.000 C1 C3 H7 135.135
C2 C1 C3 90.000 C2 C1 H5 134.865
C2 C4 C3 90.000 C3 C1 H5 135.135
C4 C2 H6 135.135 C4 C3 H7 134.865
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.006      
2 C -0.006      
3 C -0.006      
4 C -0.006      
5 H 0.006      
6 H 0.006      
7 H 0.006      
8 H 0.006      


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 -26.429 0.000 0.000
y 0.000 -20.677 0.000
z 0.000 0.000 -21.865
Traceless
 xyz
x -5.157 0.000 0.000
y 0.000 3.470 0.000
z 0.000 0.000 1.688
Polar
3z2-r23.375
x2-y2-5.751
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.688 0.000 0.000
y 0.000 7.226 0.000
z 0.000 0.000 5.859


<r2> (average value of r2) Å2
<r2> 57.837
(<r2>)1/2 7.605