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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/cc-pVDZ
 hartrees
Energy at 0K-156.988852
Energy at 298.15K-156.997845
HF Energy-156.988852
Nuclear repulsion energy126.203308
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/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3026 3009 0.00      
2 A1 2990 2972 0.00      
3 A1 1443 1435 0.00      
4 A1 1123 1117 0.00      
5 A1 1015 1009 0.00      
6 A1 188 187 0.00      
7 A2 1195 1188 0.00      
8 A2 928 923 0.00      
9 B1 1211 1204 0.00      
10 B1 1120 1113 0.00      
11 B1 938 932 0.00      
12 B2 3056 3038 85.76      
13 B2 2981 2964 11.30      
14 B2 1407 1399 3.52      
15 B2 858 853 0.05      
16 B2 610 607 3.98      
17 E 3040 3023 18.23      
17 E 3040 3023 18.23      
18 E 2983 2965 75.97      
18 E 2983 2965 75.97      
19 E 1399 1391 0.54      
19 E 1399 1391 0.54      
20 E 1237 1229 0.33      
20 E 1237 1229 0.33      
21 E 1201 1194 0.35      
21 E 1201 1194 0.35      
22 E 905 900 1.63      
22 E 905 900 1.63      
23 E 727 723 0.34      
23 E 727 723 0.34      

Unscaled Zero Point Vibrational Energy (zpe) 23536.4 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 23399.9 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/cc-pVDZ
ABC
0.35306 0.35306 0.20997

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.084 0.131
C2 0.000 -1.084 0.131
C3 -1.084 0.000 -0.131
C4 1.084 0.000 -0.131
H5 0.000 1.406 1.193
H6 0.000 1.989 -0.508
H7 0.000 -1.406 1.193
H8 0.000 -1.989 -0.508
H9 -1.406 0.000 -1.193
H10 -1.989 0.000 0.508
H11 1.406 0.000 -1.193
H12 1.989 0.000 0.508

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.16741.55491.55491.10951.10842.70663.13852.21462.29622.21462.2962
C22.16741.55491.55492.70663.13851.10951.10842.21462.29622.21462.2962
C31.55491.55492.16742.21462.29622.21462.29621.10951.10842.70663.1385
C41.55491.55492.16742.21462.29622.21462.29622.70663.13851.10951.1084
H51.10952.70662.21462.21461.79822.81223.79743.10562.53013.10562.5301
H61.10843.13852.29622.29621.79823.79743.97792.53012.99092.53012.9909
H72.70661.10952.21462.21462.81223.79741.79823.10562.53013.10562.5301
H83.13851.10842.29622.29623.79743.97791.79822.53012.99092.53012.9909
H92.21462.21461.10952.70663.10562.53013.10562.53011.79822.81223.7974
H102.29622.29621.10843.13852.53012.99092.53012.99091.79823.79743.9779
H112.21462.21462.70661.10953.10562.53013.10562.53012.81223.79741.7982
H122.29622.29623.13851.10842.53012.99092.53012.99093.79743.97791.7982

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.369 C1 C3 H9 111.345
C1 C3 H10 118.157 C1 C4 C2 88.369
C1 C4 H11 111.345 C1 C4 H12 118.157
C2 C3 H9 111.345 C2 C3 H10 118.157
C2 C4 H11 111.345 C2 C4 H12 118.157
C3 C1 C4 88.369 C3 C1 H5 111.345
C3 C1 H6 118.157 C3 C2 C4 88.369
C3 C2 H7 111.345 C3 C2 H8 118.157
C4 C1 H5 111.345 C4 C1 H6 118.157
C4 C2 H7 111.345 C4 C2 H8 118.157
H5 C1 H6 108.346 H7 C2 H8 108.346
H9 C3 H10 108.346 H11 C4 H12 108.346
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.038      
2 C -0.038      
3 C -0.038      
4 C -0.038      
5 H 0.024      
6 H 0.014      
7 H 0.024      
8 H 0.014      
9 H 0.024      
10 H 0.014      
11 H 0.024      
12 H 0.014      


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 -27.300 0.000 0.000
y 0.000 -27.300 0.000
z 0.000 0.000 -25.945
Traceless
 xyz
x -0.677 0.000 0.000
y 0.000 -0.677 0.000
z 0.000 0.000 1.354
Polar
3z2-r22.708
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 6.770 0.000 0.000
y 0.000 6.770 0.000
z 0.000 0.000 6.240


<r2> (average value of r2) Å2
<r2> 75.824
(<r2>)1/2 8.708