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All results from a given calculation for C4H6 (Methylenecyclopropane)

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-155.939509
Energy at 298.15K-155.945299
Nuclear repulsion energy109.695095
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 3164 3020 9.98      
2 A1 3142 3000 11.44      
3 A1 1878 1793 5.53      
4 A1 1489 1422 0.24      
5 A1 1447 1381 0.43      
6 A1 1095 1046 2.10      
7 A1 1045 998 3.50      
8 A1 771 736 4.38      
9 A2 3218 3073 0.00      
10 A2 1175 1122 0.00      
11 A2 963 919 0.00      
12 A2 617 589 0.00      
13 B1 3231 3085 11.71      
14 B1 1102 1052 0.58      
15 B1 929 887 36.69      
16 B1 754 720 1.54      
17 B1 304 290 2.83      
18 B2 3249 3102 9.04      
19 B2 3140 2998 13.44      
20 B2 1450 1384 1.43      
21 B2 1153 1101 8.03      
22 B2 1078 1029 1.46      
23 B2 920 879 12.23      
24 B2 359 342 0.21      

Unscaled Zero Point Vibrational Energy (zpe) 18836.7 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 17983.4 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
0.65747 0.23087 0.18331

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 0.000 0.000 1.631
C2 0.000 0.000 0.316
H3 0.000 0.926 2.197
H4 0.000 -0.926 2.197
C5 0.000 0.765 -0.929
C6 0.000 -0.765 -0.929
H7 0.911 1.272 -1.232
H8 -0.911 1.272 -1.232
H9 -0.911 -1.272 -1.232
H10 0.911 -1.272 -1.232

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 H7 H8 H9 H10
C11.31461.08481.08482.67182.67183.26223.26223.26223.2622
C21.31462.09592.09591.46151.46152.20082.20082.20082.2008
H31.08482.09591.85113.12993.55373.56433.56434.17284.1728
H41.08482.09591.85113.55373.12994.17284.17283.56433.5643
C52.67181.46153.12993.55371.53011.08561.08562.25162.2516
C62.67181.46153.55373.12991.53012.25162.25161.08561.0856
H73.26222.20083.56434.17281.08562.25161.82253.12882.5431
H83.26222.20083.56434.17281.08562.25161.82252.54313.1288
H93.26222.20084.17283.56432.25161.08563.12882.54311.8225
H103.26222.20084.17283.56432.25161.08562.54313.12881.8225

picture of Methylenecyclopropane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 148.435 C1 C2 C6 148.435
C2 C1 H3 121.440 C2 C1 H4 121.440
C2 C5 C6 58.435 C2 C5 H7 118.804
C2 C5 H8 118.804 C2 C6 C5 58.435
C2 C6 H9 118.804 C2 C6 H10 118.804
H3 C1 H4 117.120 C5 C2 C6 63.130
C5 C6 H9 117.811 C5 C6 H10 117.811
C6 C5 H7 117.811 C6 C5 H8 117.811
H7 C5 H8 114.152 H9 C6 H10 114.152
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 -0.499      
2 C 0.351      
3 H 0.140      
4 H 0.140      
5 C -0.373      
6 C -0.373      
7 H 0.154      
8 H 0.154      
9 H 0.154      
10 H 0.154      


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 -0.423 0.423
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -24.679 0.000 0.000
y 0.000 -23.736 0.000
z 0.000 0.000 -24.092
Traceless
 xyz
x -0.765 0.000 0.000
y 0.000 0.650 0.000
z 0.000 0.000 0.115
Polar
3z2-r20.231
x2-y2-0.943
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.292 0.000 0.000
y 0.000 5.941 0.000
z 0.000 0.000 8.396


<r2> (average value of r2) Å2
<r2> 76.258
(<r2>)1/2 8.733