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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: PBE1PBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at PBE1PBE/cc-pVDZ
 hartrees
Energy at 0K-157.024372
Energy at 298.15K-157.033502
HF Energy-157.024372
Nuclear repulsion energy127.118176
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 PBE1PBE/cc-pVDZ
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 3120 3000 0.00      
2 A1 3081 2963 0.00      
3 A1 1497 1440 0.00      
4 A1 1165 1120 0.00      
5 A1 1052 1012 0.00      
6 A1 203 195 0.00      
7 A2 1239 1192 0.00      
8 A2 960 923 0.00      
9 B1 1257 1209 0.00      
10 B1 1165 1120 0.00      
11 B1 973 935 0.00      
12 B2 3150 3028 79.53      
13 B2 3071 2953 11.76      
14 B2 1456 1400 4.34      
15 B2 891 857 0.04      
16 B2 628 604 3.99      
17 E 3134 3013 17.98      
17 E 3134 3013 17.98      
18 E 3074 2955 70.41      
18 E 3074 2955 70.41      
19 E 1450 1394 1.15      
19 E 1450 1394 1.15      
20 E 1288 1238 0.87      
20 E 1288 1238 0.87      
21 E 1245 1197 0.22      
21 E 1245 1197 0.22      
22 E 939 903 2.24      
22 E 939 903 2.24      
23 E 752 723 0.34      
23 E 752 723 0.34      

Unscaled Zero Point Vibrational Energy (zpe) 24333.6 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 23396.8 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 PBE1PBE/cc-pVDZ
ABC
0.35813 0.35813 0.21313

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVDZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.076 0.132
C2 0.000 -1.076 0.132
C3 -1.076 0.000 -0.132
C4 1.076 0.000 -0.132
H5 0.000 1.391 1.187
H6 0.000 1.977 -0.499
H7 0.000 -1.391 1.187
H8 0.000 -1.977 -0.499
H9 -1.391 0.000 -1.187
H10 -1.977 0.000 0.499
H11 1.391 0.000 -1.187
H12 1.977 0.000 0.499

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.15131.54401.54401.10141.10032.68283.11732.19832.28052.19832.2805
C22.15131.54401.54402.68283.11731.10141.10032.19832.28052.19832.2805
C31.54401.54402.15132.19832.28052.19832.28051.10141.10032.68283.1173
C41.54401.54402.15132.19832.28052.19832.28052.68283.11731.10141.1003
H51.10142.68282.19832.19831.78522.78173.76653.08362.51353.08362.5135
H61.10033.11732.28052.28051.78523.76653.95432.51352.96872.51352.9687
H72.68281.10142.19832.19832.78173.76651.78523.08362.51353.08362.5135
H83.11731.10032.28052.28053.76653.95431.78522.51352.96872.51352.9687
H92.19832.19831.10142.68283.08362.51353.08362.51351.78522.78173.7665
H102.28052.28051.10033.11732.51352.96872.51352.96871.78523.76653.9543
H112.19832.19832.68281.10143.08362.51353.08362.51352.78173.76651.7852
H122.28052.28053.11731.10032.51352.96872.51352.96873.76653.95431.7852

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.323 C1 C3 H9 111.302
C1 C3 H10 118.212 C1 C4 C2 88.323
C1 C4 H11 111.302 C1 C4 H12 118.212
C2 C3 H9 111.302 C2 C3 H10 118.212
C2 C4 H11 111.302 C2 C4 H12 118.212
C3 C1 C4 88.323 C3 C1 H5 111.302
C3 C1 H6 118.212 C3 C2 C4 88.323
C3 C2 H7 111.302 C3 C2 H8 118.212
C4 C1 H5 111.302 C4 C1 H6 118.212
C4 C2 H7 111.302 C4 C2 H8 118.212
H5 C1 H6 108.353 H7 C2 H8 108.353
H9 C3 H10 108.353 H11 C4 H12 108.353
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.068      
2 C -0.068      
3 C -0.068      
4 C -0.068      
5 H 0.038      
6 H 0.030      
7 H 0.038      
8 H 0.030      
9 H 0.038      
10 H 0.030      
11 H 0.038      
12 H 0.030      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.131 0.000 0.000
y 0.000 -27.131 0.000
z 0.000 0.000 -25.716
Traceless
 xyz
x -0.708 0.000 0.000
y 0.000 -0.708 0.000
z 0.000 0.000 1.415
Polar
3z2-r22.831
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.552 0.000 0.000
y 0.000 6.552 0.000
z 0.000 0.000 6.037


<r2> (average value of r2) Å2
<r2> 74.848
(<r2>)1/2 8.651