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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G
 hartrees
Energy at 0K-156.988304
Energy at 298.15K-156.997460
HF Energy-156.988304
Nuclear repulsion energy126.645378
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 HSEh1PBE/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 3144 3007 0.00      
2 A1 3103 2968 0.00      
3 A1 1558 1491 0.00      
4 A1 1208 1155 0.00      
5 A1 1039 994 0.00      
6 A1 178 170 0.00      
7 A2 1310 1253 0.00      
8 A2 997 953 0.00      
9 B1 1287 1231 0.00      
10 B1 1197 1145 0.00      
11 B1 984 941 0.00      
12 B2 3176 3038 95.70      
13 B2 3093 2959 9.86      
14 B2 1534 1467 4.63      
15 B2 902 863 0.27      
16 B2 657 629 4.53      
17 E 3157 3020 16.41      
17 E 3157 3020 16.41      
18 E 3094 2960 73.02      
18 E 3094 2960 73.02      
19 E 1527 1461 3.58      
19 E 1527 1461 3.58      
20 E 1322 1264 3.35      
20 E 1322 1264 3.35      
21 E 1274 1219 0.70      
21 E 1274 1219 0.70      
22 E 943 902 4.65      
22 E 943 902 4.65      
23 E 782 748 0.41      
23 E 782 748 0.41      

Unscaled Zero Point Vibrational Energy (zpe) 24781.4 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 23705.9 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 HSEh1PBE/6-31G
ABC
0.35529 0.35529 0.20960

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.086 0.118
C2 0.000 -1.086 0.118
C3 -1.086 0.000 -0.118
C4 1.086 0.000 -0.118
H5 0.000 1.443 1.153
H6 0.000 1.953 -0.548
H7 0.000 -1.443 1.153
H8 0.000 -1.953 -0.548
H9 -1.443 0.000 -1.153
H10 -1.953 0.000 0.548
H11 1.443 0.000 -1.153
H12 1.953 0.000 0.548

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.17271.55431.55431.09501.09322.73313.11182.20842.27622.20842.2762
C22.17271.55431.55432.73313.11181.09501.09322.20842.27622.20842.2762
C31.55431.55432.17272.20842.27622.20842.27621.09501.09322.73313.1118
C41.55431.55432.17272.20842.27622.20842.27622.73313.11181.09501.0932
H51.09502.73312.20842.20841.77612.88613.79873.07922.50273.07922.5027
H61.09323.11182.27622.27621.77613.79873.90672.50272.97212.50272.9721
H72.73311.09502.20842.20842.88613.79871.77613.07922.50273.07922.5027
H83.11181.09322.27622.27623.79873.90671.77612.50272.97212.50272.9721
H92.20842.20841.09502.73313.07922.50273.07922.50271.77612.88613.7987
H102.27622.27621.09323.11182.50272.97212.50272.97211.77613.79873.9067
H112.20842.20842.73311.09503.07922.50273.07922.50272.88613.79871.7761
H122.27622.27623.11181.09322.50272.97212.50272.97213.79873.90671.7761

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.686 C1 C3 H9 111.769
C1 C3 H10 117.519 C1 C4 C2 88.686
C1 C4 H11 111.769 C1 C4 H12 117.519
C2 C3 H9 111.769 C2 C3 H10 117.519
C2 C4 H11 111.769 C2 C4 H12 117.519
C3 C1 C4 88.686 C3 C1 H5 111.769
C3 C1 H6 117.519 C3 C2 C4 88.686
C3 C2 H7 111.769 C3 C2 H8 117.519
C4 C1 H5 111.769 C4 C1 H6 117.519
C4 C2 H7 111.769 C4 C2 H8 117.519
H5 C1 H6 108.518 H7 C2 H8 108.518
H9 C3 H10 108.518 H11 C4 H12 108.518
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.321      
2 C -0.321      
3 C -0.321      
4 C -0.321      
5 H 0.164      
6 H 0.157      
7 H 0.164      
8 H 0.157      
9 H 0.164      
10 H 0.157      
11 H 0.164      
12 H 0.157      


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 -26.878 0.000 0.000
y 0.000 -26.878 0.000
z 0.000 0.000 -25.607
Traceless
 xyz
x -0.635 0.000 0.000
y 0.000 -0.635 0.000
z 0.000 0.000 1.271
Polar
3z2-r22.541
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 6.011 0.000 0.000
y 0.000 6.011 0.000
z 0.000 0.000 5.701


<r2> (average value of r2) Å2
<r2> 75.291
(<r2>)1/2 8.677