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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: PBEPBE/6-31G

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/6-31G
 hartrees
Energy at 0K-156.948463
Energy at 298.15K-156.957502
HF Energy-156.948463
Nuclear repulsion energy125.678316
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
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 3054 3012 0.00      
2 A1 3016 2974 0.00      
3 A1 1509 1489 0.00      
4 A1 1165 1149 0.00      
5 A1 1004 990 0.00      
6 A1 174 172 0.00      
7 A2 1256 1239 0.00      
8 A2 961 948 0.00      
9 B1 1241 1224 0.00      
10 B1 1150 1134 0.00      
11 B1 945 932 0.00      
12 B2 3088 3045 101.06      
13 B2 3007 2965 10.04      
14 B2 1489 1468 3.99      
15 B2 871 859 0.36      
16 B2 636 627 4.66      
17 E 3068 3026 17.31      
17 E 3068 3026 17.31      
18 E 3007 2966 77.82      
18 E 3007 2966 77.82      
19 E 1480 1460 2.29      
19 E 1480 1460 2.29      
20 E 1270 1253 2.11      
20 E 1270 1253 2.11      
21 E 1229 1212 0.97      
21 E 1229 1212 0.97      
22 E 908 896 3.80      
22 E 908 896 3.80      
23 E 755 745 0.42      
23 E 755 745 0.42      

Unscaled Zero Point Vibrational Energy (zpe) 24000.5 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 23669.3 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/6-31G
ABC
0.34989 0.34989 0.20648

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.095 0.119
C2 0.000 -1.095 0.119
C3 -1.095 0.000 -0.119
C4 1.095 0.000 -0.119
H5 0.000 1.452 1.163
H6 0.000 1.970 -0.551
H7 0.000 -1.452 1.163
H8 0.000 -1.970 -0.551
H9 -1.452 0.000 -1.163
H10 -1.970 0.000 0.551
H11 1.452 0.000 -1.163
H12 1.970 0.000 0.551

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.18911.56611.56611.10361.10202.75253.13652.22512.29422.22512.2942
C22.18911.56611.56612.75253.13651.10361.10202.22512.29422.22512.2942
C31.56611.56612.18912.22512.29422.22512.29421.10361.10202.75253.1365
C41.56611.56612.18912.22512.29422.22512.29422.75253.13651.10361.1020
H51.10362.75252.22512.22511.79042.90453.82713.10322.52253.10322.5225
H61.10203.13652.29422.29421.79043.82713.93912.52252.99542.52252.9954
H72.75251.10362.22512.22512.90453.82711.79043.10322.52253.10322.5225
H83.13651.10202.29422.29423.82713.93911.79042.52252.99542.52252.9954
H92.22512.22511.10362.75253.10322.52253.10322.52251.79042.90453.8271
H102.29422.29421.10203.13652.52252.99542.52252.99541.79043.82713.9391
H112.22512.22512.75251.10363.10322.52253.10322.52252.90453.82711.7904
H122.29422.29423.13651.10202.52252.99542.52252.99543.82713.93911.7904

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.675 C1 C3 H9 111.738
C1 C3 H10 117.545 C1 C4 C2 88.675
C1 C4 H11 111.738 C1 C4 H12 117.545
C2 C3 H9 111.738 C2 C3 H10 117.545
C2 C4 H11 111.738 C2 C4 H12 117.545
C3 C1 C4 88.675 C3 C1 H5 111.738
C3 C1 H6 117.545 C3 C2 C4 88.675
C3 C2 H7 111.738 C3 C2 H8 117.545
C4 C1 H5 111.738 C4 C1 H6 117.545
C4 C2 H7 111.738 C4 C2 H8 117.545
H5 C1 H6 108.531 H7 C2 H8 108.531
H9 C3 H10 108.531 H11 C4 H12 108.531
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.291      
2 C -0.291      
3 C -0.291      
4 C -0.291      
5 H 0.149      
6 H 0.142      
7 H 0.149      
8 H 0.142      
9 H 0.149      
10 H 0.142      
11 H 0.149      
12 H 0.142      


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 -26.934 0.000 0.000
y 0.000 -26.934 0.000
z 0.000 0.000 -25.688
Traceless
 xyz
x -0.623 0.000 0.000
y 0.000 -0.623 0.000
z 0.000 0.000 1.245
Polar
3z2-r22.490
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 6.169 0.000 0.000
y 0.000 6.169 0.000
z 0.000 0.000 5.830


<r2> (average value of r2) Å2
<r2> 76.234
(<r2>)1/2 8.731