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All results from a given calculation for C4H6O (Cyclobutanone)

using model chemistry: PBEPBE/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-230.960047
Energy at 298.15K-230.966600
Nuclear repulsion energy166.305185
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/6-31+G**
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' 3087 3052 20.42      
2 A' 3051 3016 3.31      
3 A' 3029 2995 26.00      
4 A' 3001 2967 7.94      
5 A' 1805 1784 327.59      
6 A' 1451 1434 1.11      
7 A' 1392 1377 1.69      
8 A' 1194 1181 8.45      
9 A' 1181 1168 0.69      
10 A' 1056 1044 0.15      
11 A' 956 945 3.17      
12 A' 821 811 2.98      
13 A' 722 713 5.36      
14 A' 655 647 1.38      
15 A' 386 382 0.62      
16 A' 38 38 4.43      
17 A" 3056 3021 1.43      
18 A" 2996 2962 14.14      
19 A" 1375 1360 23.56      
20 A" 1226 1212 6.77      
21 A" 1183 1169 0.58      
22 A" 1145 1132 3.53      
23 A" 1055 1043 83.71      
24 A" 918 908 0.22      
25 A" 914 904 0.06      
26 A" 600 593 0.01      
27 A" 444 439 2.33      

Unscaled Zero Point Vibrational Energy (zpe) 19368.1 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 19147.3 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/6-31+G**
ABC
0.35776 0.15802 0.11720

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 -0.230 1.877 0.000
C2 -0.050 0.675 0.000
C3 0.081 -0.382 1.112
C4 0.081 -0.382 -1.112
C5 0.081 -1.480 0.000
H6 -0.829 -2.099 0.000
H7 0.958 -2.143 0.000
H8 1.027 -0.286 1.674
H9 1.027 -0.286 -1.674
H10 -0.748 -0.393 1.839
H11 -0.748 -0.393 -1.839

Atom - Atom Distances (Å)
  O1 C2 C3 C4 C5 H6 H7 H8 H9 H10 H11
O11.21582.53722.53723.37124.02044.19213.00983.00982.96722.9672
C21.21581.53961.53962.15842.88032.99272.20992.20992.23822.2382
C32.53721.53962.22381.56242.23832.25971.10432.94331.10313.0654
C42.53721.53962.22381.56242.23832.25972.94331.10433.06541.1031
C53.37122.15841.56241.56241.10031.09982.26302.26302.29152.2915
H64.02042.88032.23832.23831.10031.78763.08723.08722.50952.5095
H74.19212.99272.25972.25971.09981.78762.50102.50103.05903.0590
H83.00982.20991.10432.94332.26303.08722.50103.34721.78623.9373
H93.00982.20992.94331.10432.26303.08722.50103.34723.93731.7862
H102.96722.23821.10313.06542.29152.50953.05901.78623.93733.6783
H112.96722.23823.06541.10312.29152.50953.05903.93731.78623.6783

picture of Cyclobutanone state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
O1 C2 C3 133.747 O1 C2 C4 133.747
C2 C3 C5 88.179 C2 C3 H8 112.366
C2 C3 H10 114.754 C2 C4 C5 88.179
C2 C4 H9 112.366 C2 C4 H11 114.754
C3 C2 C4 92.472 C3 C5 C4 90.744
C3 C5 H6 113.272 C3 C5 H7 115.065
C4 C5 H6 113.272 C4 C5 H7 115.065
C5 C3 H8 115.048 C5 C3 H10 117.530
C5 C4 H9 115.048 C5 C4 H11 117.530
H6 C5 H7 108.688 H8 C3 H10 108.029
H9 C4 H11 108.029
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.392      
2 C 0.147      
3 C -0.266      
4 C -0.266      
5 C -0.365      
6 H 0.179      
7 H 0.173      
8 H 0.199      
9 H 0.199      
10 H 0.196      
11 H 0.196      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.459 -3.011 0.000 3.046
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.844 0.976 0.000
y 0.976 -37.274 0.000
z 0.000 0.000 -29.249
Traceless
 xyz
x 4.417 0.976 0.000
y 0.976 -8.227 0.000
z 0.000 0.000 3.810
Polar
3z2-r27.619
x2-y28.430
xy0.976
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.822 -0.327 0.000
y -0.327 8.484 0.000
z 0.000 0.000 7.940


<r2> (average value of r2) Å2
<r2> 107.725
(<r2>)1/2 10.379