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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: PBEPBE/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-157.038448
Energy at 298.15K-157.047481
HF Energy-157.038448
Nuclear repulsion energy126.707983
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/cc-pVTZ
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 3019 2998 0.00      
2 A1 2987 2967 0.00      
3 A1 1467 1457 0.00      
4 A1 1135 1127 0.00      
5 A1 1003 997 0.00      
6 A1 202 201 0.00      
7 A2 1211 1202 0.00      
8 A2 932 926 0.00      
9 B1 1213 1205 0.00      
10 B1 1125 1117 0.00      
11 B1 928 922 0.00      
12 B2 3049 3028 91.58      
13 B2 2983 2962 10.33      
14 B2 1439 1429 4.03      
15 B2 865 859 0.00      
16 B2 611 607 3.05      
17 E 3032 3011 21.52      
17 E 3032 3011 21.52      
18 E 2983 2963 79.62      
18 E 2983 2963 79.62      
19 E 1429 1419 1.08      
19 E 1429 1419 1.08      
20 E 1240 1231 1.78      
20 E 1240 1231 1.78      
21 E 1209 1201 0.62      
21 E 1209 1201 0.62      
22 E 898 892 2.32      
22 E 898 892 2.32      
23 E 732 727 0.36      
23 E 732 727 0.36      

Unscaled Zero Point Vibrational Energy (zpe) 23608.3 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 23445.4 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/cc-pVTZ
ABC
0.35548 0.35548 0.21115

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.082 0.132
C2 0.000 -1.082 0.132
C3 -1.082 0.000 -0.132
C4 1.082 0.000 -0.132
H5 0.000 1.400 1.184
H6 0.000 1.978 -0.503
H7 0.000 -1.400 1.184
H8 0.000 -1.978 -0.503
H9 -1.400 0.000 -1.184
H10 -1.978 0.000 0.503
H11 1.400 0.000 -1.184
H12 1.978 0.000 0.503

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.16351.55241.55241.09911.09802.69533.12472.20482.28462.20482.2846
C22.16351.55241.55242.69533.12471.09911.09802.20482.28462.20482.2846
C31.55241.55242.16352.20482.28462.20482.28461.09911.09802.69533.1247
C41.55241.55242.16352.20482.28462.20482.28462.69533.12471.09911.0980
H51.09912.69532.20482.20481.78282.79953.77533.08642.51713.08642.5171
H61.09803.12472.28462.28461.78283.77533.95582.51712.97222.51712.9722
H72.69531.09912.20482.20482.79953.77531.78283.08642.51713.08642.5171
H83.12471.09802.28462.28463.77533.95581.78282.51712.97222.51712.9722
H92.20482.20481.09912.69533.08642.51713.08642.51711.78282.79953.7753
H102.28462.28461.09803.12472.51712.97222.51712.97221.78283.77533.9558
H112.20482.20482.69531.09913.08642.51713.08642.51712.79953.77531.7828
H122.28462.28463.12471.09802.51712.97222.51712.97223.77533.95581.7828

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.346 C1 C3 H9 111.361
C1 C3 H10 118.072 C1 C4 C2 88.346
C1 C4 H11 111.361 C1 C4 H12 118.072
C2 C3 H9 111.361 C2 C3 H10 118.072
C2 C4 H11 111.361 C2 C4 H12 118.072
C3 C1 C4 88.346 C3 C1 H5 111.361
C3 C1 H6 118.072 C3 C2 C4 88.346
C3 C2 H7 111.361 C3 C2 H8 118.072
C4 C1 H5 111.361 C4 C1 H6 118.072
C4 C2 H7 111.361 C4 C2 H8 118.072
H5 C1 H6 108.477 H7 C2 H8 108.477
H9 C3 H10 108.477 H11 C4 H12 108.477
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.151      
2 C -0.151      
3 C -0.151      
4 C -0.151      
5 H 0.074      
6 H 0.077      
7 H 0.074      
8 H 0.077      
9 H 0.074      
10 H 0.077      
11 H 0.074      
12 H 0.077      


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 -27.553 0.000 0.000
y 0.000 -27.553 0.000
z 0.000 0.000 -26.055
Traceless
 xyz
x -0.749 0.000 0.000
y 0.000 -0.749 0.000
z 0.000 0.000 1.498
Polar
3z2-r22.997
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 7.389 0.000 0.000
y 0.000 7.389 0.000
z 0.000 0.000 6.589


<r2> (average value of r2) Å2
<r2> 75.502
(<r2>)1/2 8.689