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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: PBE1PBE/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 PBE1PBE/cc-pVTZ
 hartrees
Energy at 0K-157.069114
Energy at 298.15K-157.078263
HF Energy-157.069114
Nuclear repulsion energy127.601841
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/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 3105 2984 0.00      
2 A1 3071 2951 0.00      
3 A1 1516 1457 0.00      
4 A1 1175 1129 0.00      
5 A1 1042 1001 0.00      
6 A1 206 198 0.00      
7 A2 1256 1207 0.00      
8 A2 963 925 0.00      
9 B1 1258 1209 0.00      
10 B1 1171 1125 0.00      
11 B1 965 928 0.00      
12 B2 3136 3013 87.37      
13 B2 3065 2945 10.83      
14 B2 1482 1425 4.56      
15 B2 895 860 0.00      
16 B2 626 602 3.09      
17 E 3119 2997 21.44      
17 E 3119 2997 21.44      
18 E 3066 2946 74.44      
18 E 3066 2946 74.44      
19 E 1475 1417 1.54      
19 E 1475 1417 1.54      
20 E 1290 1240 2.47      
20 E 1290 1240 2.47      
21 E 1253 1204 0.27      
21 E 1253 1204 0.27      
22 E 933 897 2.79      
22 E 933 897 2.79      
23 E 755 725 0.37      
23 E 755 725 0.37      

Unscaled Zero Point Vibrational Energy (zpe) 24356.1 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 23406.2 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/cc-pVTZ
ABC
0.36047 0.36047 0.21429

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.074 0.133
C2 0.000 -1.074 0.133
C3 -1.074 0.000 -0.133
C4 1.074 0.000 -0.133
H5 0.000 1.385 1.179
H6 0.000 1.966 -0.494
H7 0.000 -1.385 1.179
H8 0.000 -1.966 -0.494
H9 -1.385 0.000 -1.179
H10 -1.966 0.000 0.494
H11 1.385 0.000 -1.179
H12 1.966 0.000 0.494

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.14761.54161.54161.09191.09062.67213.10412.18892.26952.18892.2695
C22.14761.54161.54162.67213.10411.09191.09062.18892.26952.18892.2695
C31.54161.54162.14762.18892.26952.18892.26951.09191.09062.67213.1041
C41.54161.54162.14762.18892.26952.18892.26952.67213.10411.09191.0906
H51.09192.67212.18892.18891.77142.76963.74573.06552.50083.06552.5008
H61.09063.10412.26952.26951.77143.74573.93292.50082.95132.50082.9513
H72.67211.09192.18892.18892.76963.74571.77143.06552.50083.06552.5008
H83.10411.09062.26952.26953.74573.93291.77142.50082.95132.50082.9513
H92.18892.18891.09192.67213.06552.50083.06552.50081.77142.76963.7457
H102.26952.26951.09063.10412.50082.95132.50082.95131.77143.74573.9329
H112.18892.18892.67211.09193.06552.50083.06552.50082.76963.74571.7714
H122.26952.26953.10411.09062.50082.95132.50082.95133.74573.93291.7714

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.305 C1 C3 H9 111.302
C1 C3 H10 118.120 C1 C4 C2 88.305
C1 C4 H11 111.302 C1 C4 H12 118.120
C2 C3 H9 111.302 C2 C3 H10 118.120
C2 C4 H11 111.302 C2 C4 H12 118.120
C3 C1 C4 88.305 C3 C1 H5 111.302
C3 C1 H6 118.120 C3 C2 C4 88.305
C3 C2 H7 111.302 C3 C2 H8 118.120
C4 C1 H5 111.302 C4 C1 H6 118.120
C4 C2 H7 111.302 C4 C2 H8 118.120
H5 C1 H6 108.517 H7 C2 H8 108.517
H9 C3 H10 108.517 H11 C4 H12 108.517
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.177      
2 C -0.177      
3 C -0.177      
4 C -0.177      
5 H 0.087      
6 H 0.090      
7 H 0.087      
8 H 0.090      
9 H 0.087      
10 H 0.090      
11 H 0.087      
12 H 0.090      


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 -27.268 0.000 0.000
y 0.000 -27.268 0.000
z 0.000 0.000 -25.750
Traceless
 xyz
x -0.759 0.000 0.000
y 0.000 -0.759 0.000
z 0.000 0.000 1.518
Polar
3z2-r23.036
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 7.092 0.000 0.000
y 0.000 7.092 0.000
z 0.000 0.000 6.340


<r2> (average value of r2) Å2
<r2> 74.487
(<r2>)1/2 8.631