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: M06-2X/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 M06-2X/3-21G
 hartrees
Energy at 0K-153.741515
Energy at 298.15K-153.744645
HF Energy-153.741515
Nuclear repulsion energy97.949712
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/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 3254 3120 0.00      
2 Ag 1629 1561 0.00      
3 Ag 1109 1063 0.00      
4 Ag 938 899 0.00      
5 Au 938 899 0.00      
6 Au 549 526 0.00      
7 B1g 932 894 0.00      
8 B1u 3239 3105 6.34      
9 B1u 1620 1553 2.03      
10 B1u 1062 1018 0.57      
11 B2g 652 625 0.00      
12 B2u 3216 3083 0.39      
13 B2u 1258 1206 40.06      
14 B2u 662 635 5.52      
15 B3g 3201 3069 0.00      
16 B3g 1194 1145 0.00      
17 B3g 896 859 0.00      
18 B3u 623 597 187.32      

Unscaled Zero Point Vibrational Energy (zpe) 13486.1 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 12929.1 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/3-21G
ABC
0.56522 0.41343 0.23878

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.669 0.803
C2 0.000 0.669 -0.803
C3 0.000 -0.669 0.803
C4 0.000 -0.669 -0.803
H5 0.000 1.437 1.558
H6 0.000 1.437 -1.558
H7 0.000 -1.437 1.558
H8 0.000 -1.437 -1.558

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8
C11.60701.33842.09131.07692.48342.23773.1646
C21.60702.09131.33842.48341.07693.16462.2377
C31.33842.09131.60702.23773.16461.07692.4834
C42.09131.33841.60703.16462.23772.48341.0769
H51.07692.48342.23773.16463.11632.87484.2398
H62.48341.07693.16462.23773.11634.23982.8748
H72.23773.16461.07692.48342.87484.23983.1163
H83.16462.23772.48341.07694.23982.87483.1163

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 134.491
C1 C3 C4 90.000 C1 C3 H7 135.509
C2 C1 C3 90.000 C2 C1 H5 134.491
C2 C4 C3 90.000 C3 C1 H5 135.509
C4 C2 H6 135.509 C4 C3 H7 134.491
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.205      
2 C -0.205      
3 C -0.205      
4 C -0.205      
5 H 0.205      
6 H 0.205      
7 H 0.205      
8 H 0.205      


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 -27.168 0.000 0.000
y 0.000 -20.728 0.000
z 0.000 0.000 -21.371
Traceless
 xyz
x -6.118 0.000 0.000
y 0.000 3.541 0.000
z 0.000 0.000 2.577
Polar
3z2-r25.154
x2-y2-6.440
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.754 0.000 0.000
y 0.000 6.612 0.000
z 0.000 0.000 5.212


<r2> (average value of r2) Å2
<r2> 58.638
(<r2>)1/2 7.658