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All results from a given calculation for C4H4 (cyclobutadiene)

using model chemistry: PBE1PBE/3-21G

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/3-21G
 hartrees
Energy at 0K-153.624952
Energy at 298.15K-153.628105
HF Energy-153.624952
Nuclear repulsion energy97.942423
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/3-21G
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 3319 3188 0.00      
2 Ag 1630 1565 0.00      
3 Ag 1117 1072 0.00      
4 Ag 943 906 0.00      
5 Au 933 896 0.00      
6 Au 554 532 0.00      
7 B1g 929 892 0.00      
8 B1u 3302 3172 12.74      
9 B1u 1620 1556 1.54      
10 B1u 1074 1031 1.17      
11 B2g 661 635 0.00      
12 B2u 3279 3149 3.48      
13 B2u 1267 1216 42.35      
14 B2u 658 632 6.01      
15 B3g 3263 3134 0.00      
16 B3g 1207 1160 0.00      
17 B3g 895 860 0.00      
18 B3u 648 622 194.22      

Unscaled Zero Point Vibrational Energy (zpe) 13649.2 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 13108.7 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/3-21G
ABC
0.56412 0.41437 0.23889

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.670 0.802
C2 0.000 0.670 -0.802
C3 0.000 -0.670 0.802
C4 0.000 -0.670 -0.802
H5 0.000 1.439 1.559
H6 0.000 1.439 -1.559
H7 0.000 -1.439 1.559
H8 0.000 -1.439 -1.559

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8
C11.60431.33982.09021.07862.48302.24013.1655
C21.60432.09021.33982.48301.07863.16552.2401
C31.33982.09021.60432.24013.16551.07862.4830
C42.09021.33981.60433.16552.24012.48301.0786
H51.07862.48302.24013.16553.11792.87704.2424
H62.48301.07863.16552.24013.11794.24242.8770
H72.24013.16551.07862.48302.87704.24243.1179
H83.16552.24012.48301.07864.24242.87703.1179

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 134.556
C1 C3 C4 90.000 C1 C3 H7 135.444
C2 C1 C3 90.000 C2 C1 H5 134.556
C2 C4 C3 90.000 C3 C1 H5 135.444
C4 C2 H6 135.444 C4 C3 H7 134.556
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.215      
2 C -0.215      
3 C -0.215      
4 C -0.215      
5 H 0.215      
6 H 0.215      
7 H 0.215      
8 H 0.215      


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 -27.154 0.000 0.000
y 0.000 -20.526 0.000
z 0.000 0.000 -21.146
Traceless
 xyz
x -6.317 0.000 0.000
y 0.000 3.624 0.000
z 0.000 0.000 2.694
Polar
3z2-r25.388
x2-y2-6.627
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.791 0.000 0.000
y 0.000 6.593 0.000
z 0.000 0.000 5.176


<r2> (average value of r2) Å2
<r2> 58.541
(<r2>)1/2 7.651