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

using model chemistry: mPW1PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-155.930806
Energy at 298.15K-155.937153
HF Energy-155.930806
Nuclear repulsion energy116.755957
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 mPW1PW91/6-31G(2df,p)
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 3288 3139 1.32      
2 A1 3199 3054 19.79      
3 A1 3088 2948 48.73      
4 A1 1538 1468 0.10      
5 A1 1323 1263 1.44      
6 A1 1119 1068 0.00      
7 A1 910 869 0.86      
8 A1 709 677 7.77      
9 A1 428 408 1.06      
10 A2 1182 1129 0.00      
11 A2 1085 1036 0.00      
12 A2 942 900 0.00      
13 A2 866 827 0.00      
14 B1 3274 3125 4.99      
15 B1 1186 1132 12.70      
16 B1 1140 1089 9.45      
17 B1 1016 970 2.49      
18 B1 776 741 61.23      
19 B2 3201 3056 11.84      
20 B2 3092 2952 42.84      
21 B2 1492 1425 0.07      
22 B2 1336 1276 0.04      
23 B2 1113 1062 0.81      
24 B2 953 910 0.14      

Unscaled Zero Point Vibrational Energy (zpe) 19126.2 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 18259.8 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 mPW1PW91/6-31G(2df,p)
ABC
0.58357 0.31300 0.28292

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.740 0.000 -0.323
C2 -0.740 0.000 -0.323
C3 0.000 1.129 0.315
C4 0.000 -1.129 0.315
H5 1.439 0.000 -1.142
H6 -1.439 0.000 -1.142
H7 0.000 2.078 -0.213
H8 0.000 -2.078 -0.213
H9 0.000 1.220 1.403
H10 0.000 -1.220 1.403

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10
C11.47931.49291.49291.07702.32782.20872.20872.23952.2395
C21.47931.49291.49292.32781.07702.20872.20872.23952.2395
C31.49291.49292.25722.33872.33871.08663.25001.09122.5884
C41.49291.49292.25722.33872.33873.25001.08662.58841.0912
H51.07702.32782.33872.33872.87902.69342.69343.16813.1681
H62.32781.07702.33872.33872.87902.69342.69343.16813.1681
H72.20872.20871.08663.25002.69342.69344.15641.82913.6729
H82.20872.20873.25001.08662.69342.69344.15643.67291.8291
H92.23952.23951.09122.58843.16813.16811.82913.67292.4406
H102.23952.23952.58841.09123.16813.16813.67291.82912.4406

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 60.301 C1 C2 C4 60.301
C1 C2 H6 130.526 C1 C3 C2 59.398
C1 C3 H7 116.922 C1 C3 H9 119.329
C1 C4 C2 59.398 C1 C4 H8 116.922
C1 C4 H10 119.329 C2 C1 C3 60.301
C2 C1 C4 60.301 C2 C1 H5 130.526
C2 C3 H7 116.922 C2 C3 H9 119.329
C2 C4 H8 116.922 C2 C4 H10 119.329
C3 C1 C4 98.224 C3 C1 H5 130.324
C3 C2 C4 98.224 C3 C2 H6 130.324
C4 C1 H5 130.324 C4 C2 H6 130.324
H7 C3 H9 114.258 H8 C4 H10 114.258
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.101      
2 C -0.101      
3 C -0.306      
4 C -0.306      
5 H 0.143      
6 H 0.143      
7 H 0.136      
8 H 0.136      
9 H 0.128      
10 H 0.128      


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 -0.709 0.709
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.925 0.000 0.000
y 0.000 -23.709 0.000
z 0.000 0.000 -23.508
Traceless
 xyz
x -2.316 0.000 0.000
y 0.000 1.007 0.000
z 0.000 0.000 1.309
Polar
3z2-r22.618
x2-y2-2.215
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.130 0.000 0.000
y 0.000 6.455 0.000
z 0.000 0.000 5.388


<r2> (average value of r2) Å2
<r2> 61.920
(<r2>)1/2 7.869