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

using model chemistry: mPW1PW91/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-155.933883
Energy at 298.15K-155.940208
HF Energy-155.933883
Nuclear repulsion energy116.326380
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 mPW1PW91/aug-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 3281 3145 1.86      
2 A1 3201 3068 22.64      
3 A1 3085 2956 55.36      
4 A1 1526 1462 0.11      
5 A1 1313 1258 2.54      
6 A1 1109 1062 0.16      
7 A1 891 853 0.13      
8 A1 689 660 6.23      
9 A1 426 408 1.09      
10 A2 1177 1128 0.00      
11 A2 1067 1023 0.00      
12 A2 928 889 0.00      
13 A2 866 830 0.00      
14 B1 3268 3131 3.42      
15 B1 1172 1123 11.60      
16 B1 1122 1075 14.37      
17 B1 999 957 4.32      
18 B1 761 729 72.98      
19 B2 3204 3070 12.49      
20 B2 3089 2960 46.92      
21 B2 1482 1420 0.03      
22 B2 1332 1276 0.06      
23 B2 1106 1060 0.71      
24 B2 942 902 0.24      

Unscaled Zero Point Vibrational Energy (zpe) 19016.1 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 18223.1 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 mPW1PW91/aug-cc-pVDZ
ABC
0.58022 0.31096 0.28063

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.745 0.000 -0.319
C2 -0.745 0.000 -0.319
C3 0.000 1.133 0.314
C4 0.000 -1.133 0.314
H5 1.431 0.000 -1.158
H6 -1.431 0.000 -1.158
H7 0.000 2.084 -0.220
H8 0.000 -2.084 -0.220
H9 0.000 1.227 1.406
H10 0.000 -1.227 1.406

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10
C11.49061.49681.49681.08332.33212.21592.21592.24452.2445
C21.49061.49681.49682.33211.08332.21592.21592.24452.2445
C31.49681.49682.26642.34482.34481.09133.26181.09602.6009
C41.49681.49682.26642.34482.34483.26181.09132.60091.0960
H51.08332.33212.34482.34482.86122.69642.69643.18243.1824
H62.33211.08332.34482.34482.86122.69642.69643.18243.1824
H72.21592.21591.09133.26182.69642.69644.16901.83863.6898
H82.21592.21593.26181.09132.69642.69644.16903.68981.8386
H92.24452.24451.09602.60093.18243.18241.83863.68982.4549
H102.24452.24452.60091.09603.18243.18243.68981.83862.4549

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 60.137 C1 C2 C4 60.137
C1 C2 H6 129.241 C1 C3 C2 59.726
C1 C3 H7 116.916 C1 C3 H9 119.112
C1 C4 C2 59.726 C1 C4 H8 116.916
C1 C4 H10 119.112 C2 C1 C3 60.137
C2 C1 C4 60.137 C2 C1 H5 129.241
C2 C3 H7 116.916 C2 C3 H9 119.112
C2 C4 H8 116.916 C2 C4 H10 119.112
C3 C1 C4 98.411 C3 C1 H5 129.985
C3 C2 C4 98.411 C3 C2 H6 129.985
C4 C1 H5 129.985 C4 C2 H6 129.985
H7 C3 H9 114.408 H8 C4 H10 114.408
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.693      
2 C 0.693      
3 C 0.728      
4 C 0.728      
5 H -0.526      
6 H -0.526      
7 H -0.466      
8 H -0.466      
9 H -0.430      
10 H -0.430      


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 -0.712 0.712
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.803 0.000 0.000
y 0.000 -24.219 0.000
z 0.000 0.000 -24.109
Traceless
 xyz
x -2.639 0.000 0.000
y 0.000 1.237 0.000
z 0.000 0.000 1.402
Polar
3z2-r22.804
x2-y2-2.583
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.389 0.000 0.000
y 0.000 7.315 0.000
z 0.000 0.000 6.349


<r2> (average value of r2) Å2
<r2> 62.653
(<r2>)1/2 7.915