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 C4H6 (Cyclobutene)

using model chemistry: mPW1PW91/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/cc-pVTZ
 hartrees
Energy at 0K-155.989166
Energy at 298.15K-155.995437
Nuclear repulsion energy113.744745
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 mPW1PW91/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 A1 3223 3091 20.77      
2 A1 3065 2940 45.88      
3 A1 1655 1588 0.97      
4 A1 1487 1426 0.57      
5 A1 1225 1175 2.60      
6 A1 1149 1102 0.10      
7 A1 1014 973 0.02      
8 A1 914 877 1.21      
9 A2 3099 2973 0.00      
10 A2 1177 1129 0.00      
11 A2 1043 1001 0.00      
12 A2 953 914 0.00      
13 A2 322 309 0.00      
14 B1 3113 2986 44.61      
15 B1 1105 1060 6.18      
16 B1 874 839 17.57      
17 B1 653 627 45.25      
18 B2 3191 3060 15.20      
19 B2 3059 2934 42.60      
20 B2 1464 1405 1.08      
21 B2 1335 1280 13.38      
22 B2 1243 1193 3.17      
23 B2 916 879 15.85      
24 B2 866 831 0.79      

Unscaled Zero Point Vibrational Energy (zpe) 19073.1 cm-1
Scaled (by 0.9592) Zero Point Vibrational Energy (zpe) 18295.0 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 mPW1PW91/cc-pVTZ
ABC
0.43680 0.41349 0.23083

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.666 0.809
C2 0.000 -0.666 0.809
C3 0.000 0.780 -0.695
C4 0.000 -0.780 -0.695
H5 0.000 1.411 1.594
H6 0.000 -1.411 1.594
H7 0.886 1.237 -1.138
H8 -0.886 -1.237 -1.138
H9 -0.886 1.237 -1.138
H10 0.886 -1.237 -1.138

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10
C11.33271.50822.08631.08202.22072.21382.86342.21382.8634
C21.33272.08631.50822.22071.08202.86342.21382.86342.2138
C31.50822.08631.55922.37443.16831.09122.24711.09122.2471
C42.08631.50821.55923.16832.37442.24711.09122.24711.0912
H51.08202.22072.37443.16832.82212.87703.90652.87703.9065
H62.22071.08203.16832.37442.82213.90652.87703.90652.8770
H72.21382.86341.09122.24712.87703.90653.04391.77222.4748
H82.86342.21382.24711.09123.90652.87703.04392.47481.7722
H92.21382.86341.09122.24712.87703.90651.77222.47483.0439
H102.86342.21382.24711.09123.90652.87702.47481.77223.0439

picture of Cyclobutene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 94.306 C1 C2 H6 133.495
C1 C3 C4 85.694 C1 C3 H7 115.853
C1 C3 H9 115.853 C2 C1 C3 94.306
C2 C1 H5 133.495 C2 C4 C3 85.694
C2 C4 H8 115.853 C2 C4 H10 115.853
C3 C1 H5 132.199 C3 C4 H8 114.806
C3 C4 H10 114.806 C4 C2 H6 132.199
C4 C3 H7 114.806 C4 C3 H9 114.806
H7 C3 H9 108.588 H8 C4 H10 108.588
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.140 0.000    
2 C -0.140 0.000    
3 C -0.109 0.000    
4 C -0.109 0.000    
5 H 0.095 0.000    
6 H 0.095 0.000    
7 H 0.077 0.000    
8 H 0.077 0.000    
9 H 0.077 0.000    
10 H 0.077 0.000    


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 -0.143 0.143
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.873 0.000 0.000
y 0.000 -24.017 0.000
z 0.000 0.000 -24.551
Traceless
 xyz
x -1.589 0.000 0.000
y 0.000 1.195 0.000
z 0.000 0.000 0.394
Polar
3z2-r20.789
x2-y2-1.856
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.956 0.000 0.000
y 0.000 7.577 0.000
z 0.000 0.000 6.848


<r2> (average value of r2) Å2
<r2> 65.275
(<r2>)1/2 8.079