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

using model chemistry: PBEPBE/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/6-31G
 hartrees
Energy at 0K-155.687536
Energy at 298.15K-155.693788
HF Energy-155.687536
Nuclear repulsion energy114.849197
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 PBEPBE/6-31G
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 3232 3188 3.87      
2 A1 3137 3094 28.33      
3 A1 3030 2988 53.62      
4 A1 1516 1495 0.87      
5 A1 1269 1251 1.33      
6 A1 1097 1082 0.02      
7 A1 836 825 0.13      
8 A1 704 695 13.31      
9 A1 416 411 2.10      
10 A2 1162 1146 0.00      
11 A2 1086 1071 0.00      
12 A2 922 909 0.00      
13 A2 826 815 0.00      
14 B1 3214 3170 4.27      
15 B1 1145 1129 31.10      
16 B1 1133 1117 3.49      
17 B1 991 978 2.61      
18 B1 747 737 60.10      
19 B2 3139 3095 13.47      
20 B2 3032 2990 38.85      
21 B2 1485 1464 0.09      
22 B2 1287 1269 0.05      
23 B2 1082 1067 1.33      
24 B2 947 934 0.13      

Unscaled Zero Point Vibrational Energy (zpe) 18717.8 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 18459.5 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 PBEPBE/6-31G
ABC
0.56393 0.30407 0.27200

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.760 0.000 -0.325
C2 -0.760 0.000 -0.325
C3 0.000 1.149 0.316
C4 0.000 -1.149 0.316
H5 1.472 0.000 -1.144
H6 -1.472 0.000 -1.144
H7 0.000 2.106 -0.217
H8 0.000 -2.106 -0.217
H9 0.000 1.249 1.412
H10 0.000 -1.249 1.412

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10
C11.51901.51911.51911.08572.37742.24122.24122.26962.2696
C21.51901.51911.51912.37741.08572.24122.24122.26962.2696
C31.51911.51912.29782.37052.37051.09563.29821.09982.6360
C41.51911.51912.29782.37052.37053.29821.09562.63601.0998
H51.08572.37742.37052.37052.94482.73132.73133.20253.2025
H62.37741.08572.37052.37052.94482.73132.73133.20253.2025
H72.24122.24121.09563.29822.73132.73134.21161.84073.7292
H82.24122.24123.29821.09562.73132.73134.21163.72921.8407
H92.26962.26961.09982.63603.20253.20251.84073.72922.4975
H102.26962.26962.63601.09983.20253.20253.72921.84072.4975

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 60.002 C1 C2 C4 60.002
C1 C2 H6 131.041 C1 C3 C2 59.996
C1 C3 H7 117.065 C1 C3 H9 119.266
C1 C4 C2 59.996 C1 C4 H8 117.065
C1 C4 H10 119.266 C2 C1 C3 60.002
C2 C1 C4 60.002 C2 C1 H5 131.041
C2 C3 H7 117.065 C2 C3 H9 119.266
C2 C4 H8 117.065 C2 C4 H10 119.266
C3 C1 C4 98.278 C3 C1 H5 130.280
C3 C2 C4 98.278 C3 C2 H6 130.280
C4 C1 H5 130.280 C4 C2 H6 130.280
H7 C3 H9 113.940 H8 C4 H10 113.940
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.125      
2 C -0.125      
3 C -0.324      
4 C -0.324      
5 H 0.150      
6 H 0.150      
7 H 0.152      
8 H 0.152      
9 H 0.147      
10 H 0.147      


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 -0.830 0.830
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.468 0.000 0.000
y 0.000 -23.954 0.000
z 0.000 0.000 -23.896
Traceless
 xyz
x -2.543 0.000 0.000
y 0.000 1.228 0.000
z 0.000 0.000 1.315
Polar
3z2-r22.629
x2-y2-2.514
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.010 0.000 0.000
y 0.000 6.437 0.000
z 0.000 0.000 5.270


<r2> (average value of r2) Å2
<r2> 63.720
(<r2>)1/2 7.982