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All results from a given calculation for C4H6 (Bicyclo[1.1.0]butane)

using model chemistry: PBEPBEultrafine/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/6-311G*
 hartrees
Energy at 0K-155.765306
Energy at 298.15K-155.771502
HF Energy-155.765306
Nuclear repulsion energy115.786914
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/6-311G*
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 3170 3137 6.21      
2 A1 3089 3057 25.95      
3 A1 2980 2949 71.31      
4 A1 1492 1476 0.38      
5 A1 1273 1260 2.42      
6 A1 1084 1072 0.06      
7 A1 854 846 0.31      
8 A1 645 638 6.24      
9 A1 407 402 1.51      
10 A2 1146 1134 0.00      
11 A2 1041 1030 0.00      
12 A2 907 897 0.00      
13 A2 840 831 0.00      
14 B1 3156 3123 9.93      
15 B1 1143 1131 10.18      
16 B1 1099 1087 20.22      
17 B1 966 956 2.32      
18 B1 738 730 75.07      
19 B2 3092 3060 20.12      
20 B2 2983 2952 54.50      
21 B2 1451 1435 0.00      
22 B2 1289 1276 0.01      
23 B2 1087 1075 0.57      
24 B2 926 917 0.04      

Unscaled Zero Point Vibrational Energy (zpe) 18427.4 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 18235.8 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/6-311G*
ABC
0.57679 0.30828 0.27716

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.753 0.000 -0.313
C2 -0.753 0.000 -0.313
C3 0.000 1.140 0.312
C4 0.000 -1.140 0.312
H5 1.421 0.000 -1.171
H6 -1.421 0.000 -1.171
H7 0.000 2.092 -0.230
H8 0.000 -2.092 -0.230
H9 0.000 1.247 1.407
H10 0.000 -1.247 1.407

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10
C11.50641.50221.50221.08742.33722.22522.22522.25402.2540
C21.50641.50221.50222.33721.08742.22522.22522.25402.2540
C31.50221.50222.27972.34882.34881.09553.27711.10082.6262
C41.50221.50222.27972.34882.34883.27711.09552.62621.1008
H51.08742.33722.34882.34882.84132.69852.69853.19713.1971
H62.33721.08742.34882.34882.84132.69852.69853.19713.1971
H72.22522.22521.09553.27712.69852.69854.18441.84253.7188
H82.22522.22523.27711.09552.69852.69854.18443.71881.8425
H92.25402.25401.10082.62623.19713.19711.84253.71882.4937
H102.25402.25402.62621.10083.19713.19713.71881.84252.4937

picture of Bicyclo[1.1.0]butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 59.907 C1 C2 C4 59.907
C1 C2 H6 127.863 C1 C3 C2 60.186
C1 C3 H7 117.008 C1 C3 H9 119.176
C1 C4 C2 60.186 C1 C4 H8 117.008
C1 C4 H10 119.176 C2 C1 C3 59.907
C2 C1 C4 59.907 C2 C1 H5 127.863
C2 C3 H7 117.008 C2 C3 H9 119.176
C2 C4 H8 117.008 C2 C4 H10 119.176
C3 C1 C4 98.718 C3 C1 H5 129.490
C3 C2 C4 98.718 C3 C2 H6 129.490
C4 C1 H5 129.490 C4 C2 H6 129.490
H7 C3 H9 114.047 H8 C4 H10 114.047
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.189      
2 C -0.189      
3 C -0.430      
4 C -0.430      
5 H 0.202      
6 H 0.202      
7 H 0.214      
8 H 0.214      
9 H 0.204      
10 H 0.204      


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 -0.818 0.818
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.099 0.000 0.000
y 0.000 -24.274 0.000
z 0.000 0.000 -24.033
Traceless
 xyz
x -2.946 0.000 0.000
y 0.000 1.292 0.000
z 0.000 0.000 1.654
Polar
3z2-r23.307
x2-y2-2.826
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.533 0.000 0.000
y 0.000 6.922 0.000
z 0.000 0.000 5.802


<r2> (average value of r2) Å2
<r2> 63.148
(<r2>)1/2 7.947