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All results from a given calculation for C4H4 (cyclobutadiene)

using model chemistry: PBEPBE/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-154.527189
Energy at 298.15K-154.530156
HF Energy-154.527189
Nuclear repulsion energy98.465381
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/aug-cc-pVTZ
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 3167 3147 0.00      
2 Ag 1581 1571 0.00      
3 Ag 1079 1072 0.00      
4 Ag 933 927 0.00      
5 Au 851 846 0.00      
6 Au 512 509 0.00      
7 B1g 857 852 0.00      
8 B1u 3157 3136 20.38      
9 B1u 1584 1573 6.28      
10 B1u 1023 1017 0.12      
11 B2g 577 573 0.00      
12 B2u 3136 3115 14.38      
13 B2u 1214 1206 40.29      
14 B2u 683 679 8.05      
15 B3g 3119 3099 0.00      
16 B3g 1146 1138 0.00      
17 B3g 814 809 0.00      
18 B3u 565 561 130.97      

Unscaled Zero Point Vibrational Energy (zpe) 12999.2 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 12914.7 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 PBEPBE/aug-cc-pVTZ
ABC
0.56441 0.42499 0.24244

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/aug-cc-pVTZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.669 0.789
C2 0.000 0.669 -0.789
C3 0.000 -0.669 0.789
C4 0.000 -0.669 -0.789
H5 0.000 1.440 1.557
H6 0.000 1.440 -1.557
H7 0.000 -1.440 1.557
H8 0.000 -1.440 -1.557

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8
C11.57841.33862.06961.08812.46952.24513.1551
C21.57842.06961.33862.46951.08813.15512.2451
C31.33862.06961.57842.24513.15511.08812.4695
C42.06961.33861.57843.15512.24512.46951.0881
H51.08812.46952.24513.15513.11372.88094.2420
H62.46951.08813.15512.24513.11374.24202.8809
H72.24513.15511.08812.46952.88094.24203.1137
H83.15512.24512.46951.08814.24202.88093.1137

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 134.871
C1 C3 C4 90.000 C1 C3 H7 135.129
C2 C1 C3 90.000 C2 C1 H5 134.871
C2 C4 C3 90.000 C3 C1 H5 135.129
C4 C2 H6 135.129 C4 C3 H7 134.871
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.460      
2 C -0.460      
3 C -0.460      
4 C -0.460      
5 H 0.460      
6 H 0.460      
7 H 0.460      
8 H 0.460      


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 -27.025 0.000 0.000
y 0.000 -21.174 0.000
z 0.000 0.000 -22.664
Traceless
 xyz
x -5.106 0.000 0.000
y 0.000 3.671 0.000
z 0.000 0.000 1.435
Polar
3z2-r22.870
x2-y2-5.851
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.116 0.000 0.000
y 0.000 8.002 0.000
z 0.000 0.000 7.497


<r2> (average value of r2) Å2
<r2> 58.447
(<r2>)1/2 7.645