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: PBEPBE/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 PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-230.957615
Energy at 298.15K-230.964191
Nuclear repulsion energy166.521968
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 PBEPBE/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' 3085 3053 19.18      
2 A' 3049 3017 3.79      
3 A' 3026 2995 22.33      
4 A' 2998 2967 6.66      
5 A' 1837 1818 246.00      
6 A' 1443 1428 0.53      
7 A' 1388 1374 2.14      
8 A' 1189 1177 3.98      
9 A' 1181 1169 0.78      
10 A' 1052 1041 0.24      
11 A' 961 951 1.97      
12 A' 826 818 2.01      
13 A' 713 705 4.06      
14 A' 658 651 1.60      
15 A' 389 385 0.35      
16 A' 52 51 3.26      
17 A" 3054 3023 2.45      
18 A" 2993 2962 12.15      
19 A" 1370 1356 14.29      
20 A" 1222 1210 9.46      
21 A" 1187 1174 0.70      
22 A" 1132 1121 1.58      
23 A" 1040 1029 82.35      
24 A" 918 909 1.66      
25 A" 908 899 0.01      
26 A" 588 582 0.02      
27 A" 446 441 1.59      

Unscaled Zero Point Vibrational Energy (zpe) 19352.5 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 19153.2 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 PBEPBE/6-31G(2df,p)
ABC
0.35724 0.15846 0.11765

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 0.334 1.856 0.000
C2 0.075 0.679 0.000
C3 -0.118 -0.377 1.111
C4 -0.118 -0.377 -1.111
C5 -0.118 -1.473 0.000
H6 -0.986 -2.146 0.000
H7 0.797 -2.082 0.000
H8 0.676 -0.413 1.874
H9 0.676 -0.413 -1.874
H10 -1.083 -0.256 1.631
H11 -1.083 -0.256 -1.631

Atom - Atom Distances (Å)
  O1 C2 C3 C4 C5 H6 H7 H8 H9 H10 H11
O11.20592.53472.53473.35984.21403.96592.96312.96313.02113.0211
C21.20591.54431.54432.16013.01702.85362.25022.25022.20762.2076
C32.53471.54432.22161.56062.26202.23151.10143.08831.10312.9089
C42.53471.54432.22161.56062.26202.23153.08831.10142.90891.1031
C53.35982.16011.56061.56061.09841.09922.29412.29412.25222.2522
H64.21403.01702.26202.26201.09841.78423.04513.04512.49802.4980
H73.96592.85362.23152.23151.09921.78422.51202.51203.08723.0872
H82.96312.25021.10143.08832.29413.04512.51203.74721.78273.9241
H92.96312.25023.08831.10142.29413.04512.51203.74723.92411.7827
H103.02112.20761.10312.90892.25222.49803.08721.78273.92413.2612
H113.02112.20762.90891.10312.25222.49803.08723.92411.78273.2612

picture of Cyclobutanone state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
O1 C2 C3 133.971 O1 C2 C4 133.971
C2 C3 C5 88.168 C2 C3 H8 115.522
C2 C3 H10 111.921 C2 C4 C5 88.168
C2 C4 H9 115.522 C2 C4 H11 111.921
C3 C2 C4 91.991 C3 C5 C4 90.760
C3 C5 H6 115.479 C3 C5 H7 112.916
C4 C5 H6 115.479 C4 C5 H7 112.916
C5 C3 H8 118.010 C5 C3 H10 114.362
C5 C4 H9 118.010 C5 C4 H11 114.362
H6 C5 H7 108.568 H8 C3 H10 107.931
H9 C4 H11 107.931
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.261      
2 C 0.379      
3 C -0.350      
4 C -0.350      
5 C -0.238      
6 H 0.122      
7 H 0.127      
8 H 0.141      
9 H 0.141      
10 H 0.144      
11 H 0.144      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.575 -2.547 0.000 2.611
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.179 -1.207 0.000
y -1.207 -35.230 0.000
z 0.000 0.000 -28.438
Traceless
 xyz
x 3.655 -1.207 0.000
y -1.207 -6.922 0.000
z 0.000 0.000 3.267
Polar
3z2-r26.534
x2-y27.051
xy-1.207
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.438 0.343 0.000
y 0.343 7.255 0.000
z 0.000 0.000 6.916


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000