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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: PBEPBEultrafine/aug-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 PBEPBEultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-157.000607
Energy at 298.15K-157.009618
HF Energy-157.000607
Nuclear repulsion energy126.203009
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 PBEPBEultrafine/aug-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 3031 3012 0.00      
2 A1 2995 2977 0.00      
3 A1 1458 1449 0.00      
4 A1 1125 1118 0.00      
5 A1 1011 1005 0.00      
6 A1 195 193 0.00      
7 A2 1189 1181 0.00      
8 A2 923 917 0.00      
9 B1 1204 1197 0.00      
10 B1 1122 1115 0.00      
11 B1 935 929 0.00      
12 B2 3062 3044 97.06      
13 B2 2988 2969 10.84      
14 B2 1422 1414 3.83      
15 B2 858 852 0.00      
16 B2 614 610 2.58      
17 E 3046 3027 19.81      
17 E 3046 3027 19.81      
18 E 2989 2971 85.83      
18 E 2989 2971 85.83      
19 E 1415 1406 1.24      
19 E 1415 1406 1.24      
20 E 1228 1220 1.81      
20 E 1228 1220 1.81      
21 E 1200 1193 0.55      
21 E 1200 1193 0.55      
22 E 900 894 2.07      
22 E 900 894 2.07      
23 E 727 723 0.30      
23 E 727 723 0.30      

Unscaled Zero Point Vibrational Energy (zpe) 23568.9 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 23425.2 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 PBEPBEultrafine/aug-cc-pVDZ
ABC
0.35295 0.35295 0.20952

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.086 0.129
C2 0.000 -1.086 0.129
C3 -1.086 0.000 -0.129
C4 1.086 0.000 -0.129
H5 0.000 1.415 1.185
H6 0.000 1.982 -0.518
H7 0.000 -1.415 1.185
H8 0.000 -1.982 -0.518
H9 -1.415 0.000 -1.185
H10 -1.982 0.000 0.518
H11 1.415 0.000 -1.185
H12 1.982 0.000 0.518

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.17101.55651.55651.10611.10532.71393.13472.21442.29292.21442.2929
C22.17101.55651.55652.71393.13471.10611.10532.21442.29292.21442.2929
C31.55651.55652.17102.21442.29292.21442.29291.10611.10532.71393.1347
C41.55651.55652.17102.21442.29292.21442.29292.71393.13471.10611.1053
H51.10612.71392.21442.21441.79502.82913.79933.10082.52423.10082.5242
H61.10533.13472.29292.29291.79503.79933.96342.52422.98822.52422.9882
H72.71391.10612.21442.21442.82913.79931.79503.10082.52423.10082.5242
H83.13471.10532.29292.29293.79933.96341.79502.52422.98822.52422.9882
H92.21442.21441.10612.71393.10082.52423.10082.52421.79502.82913.7993
H102.29292.29291.10533.13472.52422.98822.52422.98821.79503.79933.9634
H112.21442.21442.71391.10613.10082.52423.10082.52422.82913.79931.7950
H122.29292.29293.13471.10532.52422.98822.52422.98823.79933.96341.7950

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.437 C1 C3 H9 111.417
C1 C3 H10 117.953 C1 C4 C2 88.437
C1 C4 H11 111.417 C1 C4 H12 117.953
C2 C3 H9 111.417 C2 C3 H10 117.953
C2 C4 H11 111.417 C2 C4 H12 117.953
C3 C1 C4 88.437 C3 C1 H5 111.417
C3 C1 H6 117.953 C3 C2 C4 88.437
C3 C2 H7 111.417 C3 C2 H8 117.953
C4 C1 H5 111.417 C4 C1 H6 117.953
C4 C2 H7 111.417 C4 C2 H8 117.953
H5 C1 H6 108.522 H7 C2 H8 108.522
H9 C3 H10 108.522 H11 C4 H12 108.522
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.940      
2 C 0.940      
3 C 0.940      
4 C 0.940      
5 H -0.477      
6 H -0.464      
7 H -0.477      
8 H -0.464      
9 H -0.477      
10 H -0.464      
11 H -0.477      
12 H -0.464      


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 -27.796 0.000 0.000
y 0.000 -27.796 0.000
z 0.000 0.000 -26.204
Traceless
 xyz
x -0.796 0.000 0.000
y 0.000 -0.796 0.000
z 0.000 0.000 1.593
Polar
3z2-r23.185
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 7.948 0.000 0.000
y 0.000 7.948 0.000
z 0.000 0.000 6.898


<r2> (average value of r2) Å2
<r2> 76.106
(<r2>)1/2 8.724