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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: PBEPBEultrafine/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at PBEPBEultrafine/TZVP
 hartrees
Energy at 0K-157.035736
Energy at 298.15K-157.044754
HF Energy-157.035736
Nuclear repulsion energy126.582210
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 PBEPBEultrafine/TZVP
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 3023 2988 0.00      
2 A1 2990 2956 0.00      
3 A1 1471 1454 0.00      
4 A1 1135 1122 0.00      
5 A1 1001 990 0.00      
6 A1 192 190 0.00      
7 A2 1213 1199 0.00      
8 A2 939 929 0.00      
9 B1 1216 1202 0.00      
10 B1 1130 1117 0.00      
11 B1 928 918 0.00      
12 B2 3054 3019 90.74      
13 B2 2985 2951 10.78      
14 B2 1440 1423 4.21      
15 B2 865 855 0.07      
16 B2 611 604 3.33      
17 E 3037 3003 21.69      
17 E 3037 3003 21.69      
18 E 2986 2952 79.76      
18 E 2986 2952 79.76      
19 E 1432 1416 1.40      
19 E 1432 1416 1.40      
20 E 1243 1229 3.87      
20 E 1243 1229 3.87      
21 E 1211 1198 0.74      
21 E 1211 1198 0.74      
22 E 899 888 3.15      
22 E 899 888 3.15      
23 E 734 726 0.27      
23 E 734 726 0.27      

Unscaled Zero Point Vibrational Energy (zpe) 23639.6 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 23370.1 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 PBEPBEultrafine/TZVP
ABC
0.35482 0.35482 0.21064

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/TZVP

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.083 0.130
C2 0.000 -1.083 0.130
C3 -1.083 0.000 -0.130
C4 1.083 0.000 -0.130
H5 0.000 1.405 1.182
H6 0.000 1.978 -0.508
H7 0.000 -1.405 1.182
H8 0.000 -1.978 -0.508
H9 -1.405 0.000 -1.182
H10 -1.978 0.000 0.508
H11 1.405 0.000 -1.182
H12 1.978 0.000 0.508

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.16621.55381.55381.10021.09912.70133.12662.20692.28622.20692.2862
C22.16621.55381.55382.70133.12661.10021.09912.20692.28622.20692.2862
C31.55381.55382.16622.20692.28622.20692.28621.10021.09912.70133.1266
C41.55381.55382.16622.20692.28622.20692.28622.70133.12661.10021.0991
H51.10022.70132.20692.20691.78502.80983.78153.08872.51783.08872.5178
H61.09913.12662.28622.28621.78503.78153.95522.51782.97572.51782.9757
H72.70131.10022.20692.20692.80983.78151.78503.08872.51783.08872.5178
H83.12661.09912.28622.28623.78153.95521.78502.51782.97572.51782.9757
H92.20692.20691.10022.70133.08872.51783.08872.51781.78502.80983.7815
H102.28622.28621.09913.12662.51782.97572.51782.97571.78503.78153.9552
H112.20692.20692.70131.10023.08872.51783.08872.51782.80983.78151.7850
H122.28622.28623.12661.09912.51782.97572.51782.97573.78153.95521.7850

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.385 C1 C3 H9 111.371
C1 C3 H10 118.020 C1 C4 C2 88.385
C1 C4 H11 111.371 C1 C4 H12 118.020
C2 C3 H9 111.371 C2 C3 H10 118.020
C2 C4 H11 111.371 C2 C4 H12 118.020
C3 C1 C4 88.385 C3 C1 H5 111.371
C3 C1 H6 118.020 C3 C2 C4 88.385
C3 C2 H7 111.371 C3 C2 H8 118.020
C4 C1 H5 111.371 C4 C1 H6 118.020
C4 C2 H7 111.371 C4 C2 H8 118.020
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 PBEPBEultrafine/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.253      
2 C -0.253      
3 C -0.253      
4 C -0.253      
5 H 0.118      
6 H 0.134      
7 H 0.118      
8 H 0.134      
9 H 0.118      
10 H 0.134      
11 H 0.118      
12 H 0.134      


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 -27.572 0.000 0.000
y 0.000 -27.572 0.000
z 0.000 0.000 -26.071
Traceless
 xyz
x -0.750 0.000 0.000
y 0.000 -0.750 0.000
z 0.000 0.000 1.500
Polar
3z2-r23.001
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 7.370 0.000 0.000
y 0.000 7.370 0.000
z 0.000 0.000 6.572


<r2> (average value of r2) Å2
<r2> 75.635
(<r2>)1/2 8.697