return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C4H4 (cyclobutadiene)

using model chemistry: PBE1PBE/STO-3G

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/STO-3G
 hartrees
Energy at 0K-152.600242
Energy at 298.15K-152.603300
HF Energy-152.600242
Nuclear repulsion energy98.283310
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/STO-3G
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 3564 3144 0.00      
2 Ag 1790 1579 0.00      
3 Ag 1253 1106 0.00      
4 Ag 1054 929 0.00      
5 Au 938 827 0.00      
6 Au 573 506 0.00      
7 B1g 961 848 0.00      
8 B1u 3546 3128 2.12      
9 B1u 1807 1594 0.00      
10 B1u 1130 997 2.41      
11 B2g 691 610 0.00      
12 B2u 3510 3096 30.52      
13 B2u 1385 1222 35.72      
14 B2u 837 738 0.91      
15 B3g 3488 3077 0.00      
16 B3g 1265 1116 0.00      
17 B3g 938 827 0.00      
18 B3u 664 586 65.86      

Unscaled Zero Point Vibrational Energy (zpe) 14697.1 cm-1
Scaled (by 0.8821) Zero Point Vibrational Energy (zpe) 12964.4 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/STO-3G
ABC
0.56205 0.42362 0.24156

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.669 0.792
C2 0.000 0.669 -0.792
C3 0.000 -0.669 0.792
C4 0.000 -0.669 -0.792
H5 0.000 1.455 1.553
H6 0.000 1.455 -1.553
H7 0.000 -1.455 1.553
H8 0.000 -1.455 -1.553

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8
C11.58311.33722.07231.09452.47272.25603.1632
C21.58312.07231.33722.47271.09453.16322.2560
C31.33722.07231.58312.25603.16321.09452.4727
C42.07231.33721.58313.16322.25602.47271.0945
H51.09452.47272.25603.16323.10542.91014.2559
H62.47271.09453.16322.25603.10544.25592.9101
H72.25603.16321.09452.47272.91014.25593.1054
H83.16322.25602.47271.09454.25592.91013.1054

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 134.062
C1 C3 C4 90.000 C1 C3 H7 135.938
C2 C1 C3 90.000 C2 C1 H5 134.062
C2 C4 C3 90.000 C3 C1 H5 135.938
C4 C2 H6 135.938 C4 C3 H7 134.062
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.086      
2 C -0.086      
3 C -0.086      
4 C -0.086      
5 H 0.086      
6 H 0.086      
7 H 0.086      
8 H 0.086      


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 -23.413 0.000 0.000
y 0.000 -20.060 0.000
z 0.000 0.000 -20.320
Traceless
 xyz
x -3.223 0.000 0.000
y 0.000 1.807 0.000
z 0.000 0.000 1.416
Polar
3z2-r22.832
x2-y2-3.353
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 0.849 0.000 0.000
y 0.000 4.187 0.000
z 0.000 0.000 3.187


<r2> (average value of r2) Å2
<r2> 57.160
(<r2>)1/2 7.560