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: mPW1PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-155.950311
Energy at 298.15K-155.956572
Nuclear repulsion energy113.509572
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 mPW1PW91/6-31G(2df,p)
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 3239 3093 22.07      
2 A1 3072 2933 43.08      
3 A1 1665 1589 0.76      
4 A1 1489 1422 0.04      
5 A1 1230 1174 1.55      
6 A1 1151 1099 0.03      
7 A1 1021 974 0.01      
8 A1 921 879 1.00      
9 A2 3112 2971 0.00      
10 A2 1178 1125 0.00      
11 A2 1041 993 0.00      
12 A2 956 912 0.00      
13 A2 319 304 0.00      
14 B1 3127 2985 45.14      
15 B1 1108 1058 4.94      
16 B1 881 841 14.03      
17 B1 658 628 36.71      
18 B2 3205 3060 14.50      
19 B2 3066 2927 42.48      
20 B2 1466 1400 0.18      
21 B2 1336 1276 11.99      
22 B2 1238 1182 2.43      
23 B2 922 880 13.75      
24 B2 863 824 1.52      

Unscaled Zero Point Vibrational Energy (zpe) 19131.3 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 18264.6 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 mPW1PW91/6-31G(2df,p)
ABC
0.43479 0.41201 0.22988

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.668 0.811
C2 0.000 -0.668 0.811
C3 0.000 0.781 -0.696
C4 0.000 -0.781 -0.696
H5 0.000 1.417 1.593
H6 0.000 -1.417 1.593
H7 0.888 1.240 -1.141
H8 -0.888 -1.240 -1.141
H9 -0.888 1.240 -1.141
H10 0.888 -1.240 -1.141

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10
C11.33561.51112.09051.08372.22722.21932.87022.21932.8702
C21.33562.09051.51112.22721.08372.87022.21932.87022.2193
C31.51112.09051.56222.37633.17411.09402.25201.09402.2520
C42.09051.51111.56223.17412.37632.25201.09402.25201.0940
H51.08372.22722.37633.17412.83472.88053.91512.88053.9151
H62.22721.08373.17412.37632.83473.91512.88053.91512.8805
H72.21932.87021.09402.25202.88053.91513.05021.77562.4802
H82.87022.21932.25201.09403.91512.88053.05022.48021.7756
H92.21932.87021.09402.25202.88053.91511.77562.48023.0502
H102.87022.21932.25201.09403.91512.88052.48021.77563.0502

picture of Cyclobutene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 94.301 C1 C2 H6 133.762
C1 C3 C4 85.699 C1 C3 H7 115.916
C1 C3 H9 115.916 C2 C1 C3 94.301
C2 C1 H5 133.762 C2 C4 C3 85.699
C2 C4 H8 115.916 C2 C4 H10 115.916
C3 C1 H5 131.937 C3 C4 H8 114.806
C3 C4 H10 114.806 C4 C2 H6 131.937
C4 C3 H7 114.806 C4 C3 H9 114.806
H7 C3 H9 108.487 H8 C4 H10 108.487
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.096      
2 C -0.096      
3 C -0.293      
4 C -0.293      
5 H 0.122      
6 H 0.122      
7 H 0.134      
8 H 0.134      
9 H 0.134      
10 H 0.134      


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 -0.098 0.098
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.306 0.000 0.000
y 0.000 -23.594 0.000
z 0.000 0.000 -24.034
Traceless
 xyz
x -1.492 0.000 0.000
y 0.000 1.075 0.000
z 0.000 0.000 0.417
Polar
3z2-r20.833
x2-y2-1.712
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.353 0.000 0.000
y 0.000 6.988 0.000
z 0.000 0.000 6.259


<r2> (average value of r2) Å2
<r2> 65.168
(<r2>)1/2 8.073