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All results from a given calculation for C4H4 (cyclobutadiene)

using model chemistry: M06-2X/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at M06-2X/6-31G**
 hartrees
Energy at 0K-154.606703
Energy at 298.15K-154.609767
HF Energy-154.606703
Nuclear repulsion energy99.062151
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 M06-2X/6-31G**
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 3268 3106 0.00      
2 Ag 1676 1593 0.00      
3 Ag 1134 1078 0.00      
4 Ag 977 928 0.00      
5 Au 893 849 0.00      
6 Au 537 511 0.00      
7 B1g 879 835 0.00      
8 B1u 3258 3096 17.06      
9 B1u 1688 1604 2.69      
10 B1u 1066 1013 0.16      
11 B2g 590 561 0.00      
12 B2u 3235 3075 4.59      
13 B2u 1275 1212 36.06      
14 B2u 748 711 6.85      
15 B3g 3219 3059 0.00      
16 B3g 1186 1128 0.00      
17 B3g 835 793 0.00      
18 B3u 578 549 123.19      

Unscaled Zero Point Vibrational Energy (zpe) 13520.6 cm-1
Scaled (by 0.9504) Zero Point Vibrational Energy (zpe) 12850.0 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 M06-2X/6-31G**
ABC
0.57090 0.43041 0.24540

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G**

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.665 0.784
C2 0.000 0.665 -0.784
C3 0.000 -0.665 0.784
C4 0.000 -0.665 -0.784
H5 0.000 1.435 1.545
H6 0.000 1.435 -1.545
H7 0.000 -1.435 1.545
H8 0.000 -1.435 -1.545

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8
C11.56901.33012.05691.08222.45362.23343.1364
C21.56902.05691.33012.45361.08223.13642.2334
C31.33012.05691.56902.23343.13641.08222.4536
C42.05691.33011.56903.13642.23342.45361.0822
H51.08222.45362.23343.13643.09062.86944.2173
H62.45361.08223.13642.23343.09064.21732.8694
H72.23343.13641.08222.45362.86944.21733.0906
H83.13642.23342.45361.08224.21732.86943.0906

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 134.669
C1 C3 C4 90.000 C1 C3 H7 135.331
C2 C1 C3 90.000 C2 C1 H5 134.669
C2 C4 C3 90.000 C3 C1 H5 135.331
C4 C2 H6 135.331 C4 C3 H7 134.669
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.126      
2 C -0.126      
3 C -0.126      
4 C -0.126      
5 H 0.126      
6 H 0.126      
7 H 0.126      
8 H 0.126      


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 -26.111 0.000 0.000
y 0.000 -20.521 0.000
z 0.000 0.000 -21.597
Traceless
 xyz
x -5.052 0.000 0.000
y 0.000 3.333 0.000
z 0.000 0.000 1.719
Polar
3z2-r23.438
x2-y2-5.590
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.337 0.000 0.000
y 0.000 7.042 0.000
z 0.000 0.000 5.633


<r2> (average value of r2) Å2
<r2> 57.375
(<r2>)1/2 7.575