return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: HSEh1PBE/3-21G*

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/3-21G*
 hartrees
Energy at 0K-156.176127
Energy at 298.15K-156.185256
HF Energy-156.176127
Nuclear repulsion energy126.099966
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/3-21G*
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 3156 3029 0.00      
2 A1 3113 2988 0.00      
3 A1 1559 1497 0.00      
4 A1 1179 1131 0.00      
5 A1 1011 970 0.00      
6 A1 195 187 0.00      
7 A2 1294 1243 0.00      
8 A2 1017 976 0.00      
9 B1 1289 1237 0.00      
10 B1 1182 1135 0.00      
11 B1 944 906 0.00      
12 B2 3188 3060 57.77      
13 B2 3105 2981 7.57      
14 B2 1532 1470 6.12      
15 B2 907 871 0.34      
16 B2 645 619 5.16      
17 E 3170 3043 12.09      
17 E 3170 3043 12.09      
18 E 3106 2981 52.51      
18 E 3106 2981 52.51      
19 E 1523 1462 4.76      
19 E 1523 1462 4.76      
20 E 1314 1261 4.72      
20 E 1314 1261 4.72      
21 E 1267 1216 3.66      
21 E 1267 1216 3.66      
22 E 910 874 4.30      
22 E 910 874 4.30      
23 E 762 731 0.49      
23 E 762 731 0.49      

Unscaled Zero Point Vibrational Energy (zpe) 24708.2 cm-1
Scaled (by 0.9599) Zero Point Vibrational Energy (zpe) 23717.4 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 HSEh1PBE/3-21G*
ABC
0.35144 0.35144 0.20801

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.094 0.126
C2 0.000 -1.094 0.126
C3 -1.094 0.000 -0.126
C4 1.094 0.000 -0.126
H5 0.000 1.411 1.173
H6 0.000 1.966 -0.531
H7 0.000 -1.411 1.173
H8 0.000 -1.966 -0.531
H9 -1.411 0.000 -1.173
H10 -1.966 0.000 0.531
H11 1.411 0.000 -1.173
H12 1.966 0.000 0.531

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.18771.56741.56741.09411.09182.71503.12962.20812.28602.20812.2860
C22.18771.56741.56742.71503.12961.09411.09182.20812.28602.20812.2860
C31.56741.56742.18772.20812.28602.20812.28601.09411.09182.71503.1296
C41.56741.56742.18772.20812.28602.20812.28602.71503.12961.09411.0918
H51.09412.71502.20812.20811.79182.82233.78263.08012.50393.08012.5039
H61.09183.12962.28602.28601.79183.78263.93212.50392.97612.50392.9761
H72.71501.09412.20812.20812.82233.78261.79183.08012.50393.08012.5039
H83.12961.09182.28602.28603.78263.93211.79182.50392.97612.50392.9761
H92.20812.20811.09412.71503.08012.50393.08012.50391.79182.82233.7826
H102.28602.28601.09183.12962.50392.97612.50392.97611.79183.78263.9321
H112.20812.20812.71501.09413.08012.50393.08012.50392.82233.78261.7918
H122.28602.28603.12961.09182.50392.97612.50392.97613.78263.93211.7918

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.518 C1 C3 H9 110.873
C1 C3 H10 117.438 C1 C4 C2 88.518
C1 C4 H11 110.873 C1 C4 H12 117.438
C2 C3 H9 110.873 C2 C3 H10 117.438
C2 C4 H11 110.873 C2 C4 H12 117.438
C3 C1 C4 88.518 C3 C1 H5 110.873
C3 C1 H6 117.438 C3 C2 C4 88.518
C3 C2 H7 110.873 C3 C2 H8 117.438
C4 C1 H5 110.873 C4 C1 H6 117.438
C4 C2 H7 110.873 C4 C2 H8 117.438
H5 C1 H6 110.121 H7 C2 H8 110.121
H9 C3 H10 110.121 H11 C4 H12 110.121
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.430      
2 C -0.430      
3 C -0.430      
4 C -0.430      
5 H 0.221      
6 H 0.209      
7 H 0.221      
8 H 0.209      
9 H 0.221      
10 H 0.209      
11 H 0.221      
12 H 0.209      


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 -25.625
Traceless
 xyz
x -0.655 0.000 0.000
y 0.000 -0.655 0.000
z 0.000 0.000 1.309
Polar
3z2-r22.618
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 5.785 0.000 0.000
y 0.000 5.785 0.000
z 0.000 0.000 5.438


<r2> (average value of r2) Å2
<r2> 75.706
(<r2>)1/2 8.701