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 C4H6O (Cyclobutanone)

using model chemistry: B3PW91/6-31G(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 B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-231.162657
Energy at 298.15K-231.169392
Nuclear repulsion energy167.618101
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 B3PW91/6-31G(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 A' 3155 3034 21.08      
2 A' 3124 3003 3.33      
3 A' 3095 2976 22.27      
4 A' 3071 2952 7.56      
5 A' 1909 1835 274.39      
6 A' 1490 1433 0.68      
7 A' 1436 1380 1.76      
8 A' 1236 1189 3.98      
9 A' 1219 1172 0.53      
10 A' 1092 1050 0.44      
11 A' 986 948 1.82      
12 A' 854 821 1.54      
13 A' 734 706 3.92      
14 A' 678 652 2.16      
15 A' 406 391 0.72      
16 A' 65 62 3.60      
17 A" 3129 3008 2.51      
18 A" 3067 2948 12.46      
19 A" 1419 1364 15.86      
20 A" 1269 1220 9.26      
21 A" 1224 1177 1.09      
22 A" 1179 1134 2.26      
23 A" 1086 1044 82.62      
24 A" 946 909 0.55      
25 A" 941 904 0.25      
26 A" 616 592 0.01      
27 A" 463 446 2.82      

Unscaled Zero Point Vibrational Energy (zpe) 19944.6 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 19174.7 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 B3PW91/6-31G(2df,p)
ABC
0.36124 0.16072 0.11924

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 -0.124 1.867 0.000
C2 0.000 0.679 0.000
C3 0.076 -0.383 1.105
C4 0.076 -0.383 -1.105
C5 -0.049 -1.468 0.000
H6 -1.021 -1.966 0.000
H7 0.732 -2.231 0.000
H8 1.044 -0.371 1.617
H9 1.044 -0.371 -1.617
H10 -0.711 -0.332 1.863
H11 -0.711 -0.332 -1.863

Atom - Atom Distances (Å)
  O1 C2 C3 C4 C5 H6 H7 H8 H9 H10 H11
O11.19492.51522.51523.33663.93684.18632.99792.99792.94132.9413
C21.19491.53471.53472.14792.83503.00012.19222.19222.23562.2356
C32.51521.53472.21021.55382.21992.25041.09532.88921.09353.0710
C42.51521.53472.21021.55382.21992.25042.88921.09533.07101.0935
C53.33662.14791.55381.55381.09181.09092.23922.23922.28062.2806
H63.93682.83502.21992.21991.09181.77213.06953.06952.49742.4974
H74.18633.00012.25042.25041.09091.77212.48432.48433.02613.0261
H82.99792.19221.09532.88922.23923.06952.48433.23411.77243.8976
H92.99792.19222.88921.09532.23923.06952.48433.23413.89761.7724
H102.94132.23561.09353.07102.28062.49743.02611.77243.89763.7260
H112.94132.23563.07101.09352.28062.49743.02613.89761.77243.7260

picture of Cyclobutanone state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
O1 C2 C3 133.909 O1 C2 C4 133.909
C2 C3 C5 88.125 C2 C3 H8 111.846
C2 C3 H10 115.533 C2 C4 C5 88.125
C2 C4 H9 111.846 C2 C4 H11 115.533
C3 C2 C4 92.123 C3 C5 C4 90.670
C3 C5 H6 112.926 C3 C5 H7 115.510
C4 C5 H6 112.926 C4 C5 H7 115.510
C5 C3 H8 114.287 C5 C3 H10 117.919
C5 C4 H9 114.287 C5 C4 H11 117.919
H6 C5 H7 108.568 H8 C3 H10 108.142
H9 C4 H11 108.142
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.303      
2 C 0.415      
3 C -0.379      
4 C -0.379      
5 C -0.269      
6 H 0.143      
7 H 0.138      
8 H 0.160      
9 H 0.160      
10 H 0.157      
11 H 0.157      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.301 -2.734 0.000 2.751
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.793 0.424 0.000
y 0.424 -35.528 0.000
z 0.000 0.000 -28.230
Traceless
 xyz
x 4.086 0.424 0.000
y 0.424 -7.516 0.000
z 0.000 0.000 3.430
Polar
3z2-r26.861
x2-y27.735
xy0.424
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.271 -0.124 0.000
y -0.124 7.094 0.000
z 0.000 0.000 6.668


<r2> (average value of r2) Å2
<r2> 105.557
(<r2>)1/2 10.274