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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: PBE1PBE/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at PBE1PBE/aug-cc-pVDZ
 hartrees
Energy at 0K-157.032942
Energy at 298.15K-157.042089
HF Energy-157.032942
Nuclear repulsion energy127.122393
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 PBE1PBE/aug-cc-pVDZ
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 3121 3001 0.00      
2 A1 3082 2964 0.00      
3 A1 1509 1451 0.00      
4 A1 1166 1121 0.00      
5 A1 1049 1009 0.00      
6 A1 210 202 0.00      
7 A2 1234 1187 0.00      
8 A2 956 919 0.00      
9 B1 1251 1203 0.00      
10 B1 1165 1120 0.00      
11 B1 970 933 0.00      
12 B2 3151 3030 92.72      
13 B2 3073 2955 11.63      
14 B2 1468 1412 4.30      
15 B2 890 856 0.00      
16 B2 631 607 2.73      
17 E 3135 3015 20.48      
17 E 3135 3015 20.48      
18 E 3075 2957 79.51      
18 E 3075 2957 79.51      
19 E 1463 1406 1.61      
19 E 1463 1406 1.61      
20 E 1279 1230 2.33      
20 E 1279 1230 2.33      
21 E 1243 1196 0.24      
21 E 1243 1196 0.24      
22 E 934 898 2.55      
22 E 934 898 2.55      
23 E 751 722 0.33      
23 E 751 722 0.33      

Unscaled Zero Point Vibrational Energy (zpe) 24344.1 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 23409.2 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 PBE1PBE/aug-cc-pVDZ
ABC
0.35803 0.35803 0.21280

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVDZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.077 0.130
C2 0.000 -1.077 0.130
C3 -1.077 0.000 -0.130
C4 1.077 0.000 -0.130
H5 0.000 1.396 1.182
H6 0.000 1.971 -0.506
H7 0.000 -1.396 1.182
H8 0.000 -1.971 -0.506
H9 -1.396 0.000 -1.182
H10 -1.971 0.000 0.506
H11 1.396 0.000 -1.182
H12 1.971 0.000 0.506

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.15441.54551.54551.09851.09762.68743.11422.19782.27762.19782.2776
C22.15441.54551.54552.68743.11421.09851.09762.19782.27762.19782.2776
C31.54551.54552.15442.19782.27762.19782.27761.09851.09762.68743.1142
C41.54551.54552.15442.19782.27762.19782.27762.68743.11421.09851.0976
H51.09852.68742.19782.19781.78322.79223.76673.07932.50823.07932.5082
H61.09763.11422.27762.27761.78323.76673.94262.50822.96602.50822.9660
H72.68741.09852.19782.19782.79223.76671.78323.07932.50823.07932.5082
H83.11421.09762.27762.27763.76673.94261.78322.50822.96602.50822.9660
H92.19782.19781.09852.68743.07932.50823.07932.50821.78322.79223.7667
H102.27762.27761.09763.11422.50822.96602.50822.96601.78323.76673.9426
H112.19782.19782.68741.09853.07932.50823.07932.50822.79223.76671.7832
H122.27762.27763.11421.09762.50822.96602.50822.96603.76673.94261.7832

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.371 C1 C3 H9 111.327
C1 C3 H10 118.032 C1 C4 C2 88.371
C1 C4 H11 111.327 C1 C4 H12 118.032
C2 C3 H9 111.327 C2 C3 H10 118.032
C2 C4 H11 111.327 C2 C4 H12 118.032
C3 C1 C4 88.371 C3 C1 H5 111.327
C3 C1 H6 118.032 C3 C2 C4 88.371
C3 C2 H7 111.327 C3 C2 H8 118.032
C4 C1 H5 111.327 C4 C1 H6 118.032
C4 C2 H7 111.327 C4 C2 H8 118.032
H5 C1 H6 108.576 H7 C2 H8 108.576
H9 C3 H10 108.576 H11 C4 H12 108.576
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.730      
2 C 0.730      
3 C 0.730      
4 C 0.730      
5 H -0.375      
6 H -0.355      
7 H -0.375      
8 H -0.355      
9 H -0.375      
10 H -0.355      
11 H -0.375      
12 H -0.355      


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 -27.445 0.000 0.000
y 0.000 -27.445 0.000
z 0.000 0.000 -25.861
Traceless
 xyz
x -0.792 0.000 0.000
y 0.000 -0.792 0.000
z 0.000 0.000 1.584
Polar
3z2-r23.168
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 7.537 0.000 0.000
y 0.000 7.537 0.000
z 0.000 0.000 6.585


<r2> (average value of r2) Å2
<r2> 75.016
(<r2>)1/2 8.661