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

using model chemistry: M06-2X/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at M06-2X/6-31+G**
 hartrees
Energy at 0K-155.889482
Energy at 298.15K-155.895843
HF Energy-155.889482
Nuclear repulsion energy116.732776
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 M06-2X/6-31+G**
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 3281 3125 0.35      
2 A1 3197 3044 21.87      
3 A1 3088 2940 47.63      
4 A1 1545 1471 0.18      
5 A1 1332 1269 2.57      
6 A1 1118 1064 0.04      
7 A1 927 883 0.21      
8 A1 710 676 8.05      
9 A1 438 417 1.19      
10 A2 1182 1126 0.00      
11 A2 1078 1026 0.00      
12 A2 945 900 0.00      
13 A2 872 830 0.00      
14 B1 3268 3112 1.67      
15 B1 1185 1128 13.38      
16 B1 1131 1077 16.91      
17 B1 1012 964 4.34      
18 B1 783 746 77.16      
19 B2 3200 3047 9.56      
20 B2 3095 2947 36.67      
21 B2 1499 1428 0.03      
22 B2 1344 1280 0.05      
23 B2 1116 1063 1.10      
24 B2 954 909 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 19149.1 cm-1
Scaled (by 0.9522) Zero Point Vibrational Energy (zpe) 18233.8 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 M06-2X/6-31+G**
ABC
0.58378 0.31250 0.28318

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.739 0.000 -0.323
C2 -0.739 0.000 -0.323
C3 0.000 1.130 0.316
C4 0.000 -1.130 0.316
H5 1.429 0.000 -1.152
H6 -1.429 0.000 -1.152
H7 0.000 2.081 -0.211
H8 0.000 -2.081 -0.211
H9 0.000 1.210 1.405
H10 0.000 -1.210 1.405

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10
C11.47841.49351.49351.07882.32162.21092.21092.23572.2357
C21.47841.49351.49352.32161.07882.21092.21092.23572.2357
C31.49351.49352.25902.33972.33971.08733.25311.09222.5811
C41.49351.49352.25902.33972.33973.25311.08732.58111.0922
H51.07882.32162.33972.33972.85862.69412.69413.16993.1699
H62.32161.07882.33972.33972.85862.69412.69413.16993.1699
H72.21092.21091.08733.25312.69412.69414.16131.83543.6665
H82.21092.21093.25311.08732.69412.69414.16133.66651.8354
H92.23572.23571.09222.58113.16993.16991.83543.66652.4210
H102.23572.23572.58111.09223.16993.16993.66651.83542.4210

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 60.335 C1 C2 C4 60.335
C1 C2 H6 129.772 C1 C3 C2 59.331
C1 C3 H7 117.015 C1 C3 H9 118.866
C1 C4 C2 59.331 C1 C4 H8 117.015
C1 C4 H10 118.866 C2 C1 C3 60.335
C2 C1 C4 60.335 C2 C1 H5 129.772
C2 C3 H7 117.015 C2 C3 H9 118.866
C2 C4 H8 117.015 C2 C4 H10 118.866
C3 C1 C4 98.276 C3 C1 H5 130.202
C3 C2 C4 98.276 C3 C2 H6 130.202
C4 C1 H5 130.202 C4 C2 H6 130.202
H7 C3 H9 114.733 H8 C4 H10 114.733
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.048      
2 C -0.048      
3 C -0.423      
4 C -0.423      
5 H 0.165      
6 H 0.165      
7 H 0.158      
8 H 0.158      
9 H 0.148      
10 H 0.148      


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 -0.761 0.761
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.132 0.000 0.000
y 0.000 -24.251 0.000
z 0.000 0.000 -24.215
Traceless
 xyz
x -2.898 0.000 0.000
y 0.000 1.422 0.000
z 0.000 0.000 1.476
Polar
3z2-r22.953
x2-y2-2.880
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.917 0.000 0.000
y 0.000 6.858 0.000
z 0.000 0.000 5.996


<r2> (average value of r2) Å2
<r2> 62.423
(<r2>)1/2 7.901