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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: HSEh1PBE/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 HSEh1PBE/cc-pVTZ
 hartrees
Energy at 0K-157.064105
Energy at 298.15K-157.073254
HF Energy-157.064105
Nuclear repulsion energy128.766796
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/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 3103 2983 0.00      
2 A1 3069 2950 0.00      
3 A1 1517 1458 0.00      
4 A1 1176 1130 0.00      
5 A1 1040 999 0.00      
6 A1 206 198 0.00      
7 A2 1257 1208 0.00      
8 A2 963 926 0.00      
9 B1 1258 1209 0.00      
10 B1 1171 1125 0.00      
11 B1 964 926 0.00      
12 B2 3134 3012 89.64      
13 B2 3064 2944 10.80      
14 B2 1484 1426 4.51      
15 B2 895 860 0.00      
16 B2 627 603 3.02      
17 E 3117 2996 21.62      
17 E 3117 2996 21.62      
18 E 3065 2945 75.86      
18 E 3065 2945 75.86      
19 E 1476 1418 1.51      
19 E 1476 1418 1.51      
20 E 1291 1240 2.41      
20 E 1291 1240 2.41      
21 E 1253 1204 0.29      
21 E 1253 1204 0.29      
22 E 932 896 2.75      
22 E 932 896 2.75      
23 E 755 726 0.36      
23 E 755 726 0.36      

Unscaled Zero Point Vibrational Energy (zpe) 24352.9 cm-1
Scaled (by 0.9611) Zero Point Vibrational Energy (zpe) 23405.6 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/cc-pVTZ
ABC
0.35830 0.35830 0.23488

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/cc-pVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.074 0.132
C2 0.000 -1.074 0.132
C3 -1.074 0.000 -0.132
C4 1.074 0.000 -0.132
H5 0.000 1.386 1.178
H6 0.000 1.966 -0.495
H7 0.000 -1.386 1.178
H8 0.000 -1.966 -0.495
H9 -1.386 0.000 -1.178
H10 -1.966 0.000 0.495
H11 1.386 0.000 -1.178
H12 1.966 0.000 0.495

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.14781.54151.54151.09151.09022.67313.10352.18892.26902.18892.2690
C22.14781.54151.54152.67313.10351.09151.09022.18892.26902.18892.2690
C31.54151.54152.14782.18892.26902.18892.26901.09151.09022.67313.1035
C41.54151.54152.14782.18892.26902.18892.26902.67313.10351.09151.0902
H51.09152.67312.18892.18891.77062.77223.74613.06492.50033.06492.5003
H61.09023.10352.26902.26901.77063.74613.93122.50032.95082.50032.9508
H72.67311.09152.18892.18892.77223.74611.77063.06492.50033.06492.5003
H83.10351.09022.26902.26903.74613.93121.77062.50032.95082.50032.9508
H92.18892.18891.09152.67313.06492.50033.06492.50031.77062.77223.7461
H102.26902.26901.09023.10352.50032.95082.50032.95081.77063.74613.9312
H112.18892.18892.67311.09153.06492.50033.06492.50032.77223.74611.7706
H122.26902.26903.10351.09022.50032.95082.50032.95083.74613.93121.7706

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.314 C1 C3 H9 111.324
C1 C3 H10 118.106 C1 C4 C2 88.314
C1 C4 H11 111.324 C1 C4 H12 118.106
C2 C3 H9 111.324 C2 C3 H10 118.106
C2 C4 H11 111.324 C2 C4 H12 118.106
C3 C1 C4 88.314 C3 C1 H5 111.324
C3 C1 H6 118.106 C3 C2 C4 88.314
C3 C2 H7 111.324 C3 C2 H8 118.106
C4 C1 H5 111.324 C4 C1 H6 118.106
C4 C2 H7 111.324 C4 C2 H8 118.106
H5 C1 H6 108.500 H7 C2 H8 108.500
H9 C3 H10 108.500 H11 C4 H12 108.500
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.164      
2 C -0.164      
3 C -0.164      
4 C -0.164      
5 H 0.077      
6 H 0.087      
7 H 0.077      
8 H 0.087      
9 H 0.077      
10 H 0.087      
11 H 0.077      
12 H 0.087      


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 -27.599 0.000 0.000
y 0.000 -27.599 0.000
z 0.000 0.000 -25.489
Traceless
 xyz
x -1.055 0.000 0.000
y 0.000 -1.055 0.000
z 0.000 0.000 2.110
Polar
3z2-r24.221
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 7.100 0.000 0.000
y 0.000 7.100 0.000
z 0.000 0.000 6.343


<r2> (average value of r2) Å2
<r2> 72.437
(<r2>)1/2 8.511