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All results from a given calculation for C3H3 (cyclopropenyl radical)

using model chemistry: B2PLYP/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 2 yes CS 2A'

Conformer 1 (D3H)

Jump to S1C2
Vibrational Frequencies calculated at B2PLYP/6-31+G**
Rotational Constants (cm-1) from geometry optimized at B2PLYP/6-31+G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31+G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B2PLYP/6-31+G**
 hartrees
Energy at 0K-115.830254
Energy at 298.15K-115.831875
HF Energy-115.703685
Nuclear repulsion energy57.879108
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 B2PLYP/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 A' 3340 3181 0.29      
2 A' 3120 2972 48.98      
3 A' 1658 1579 0.98      
4 A' 1249 1190 9.03      
5 A' 1004 956 16.06      
6 A' 937 892 6.97      
7 A' 594 566 82.30      
8 A" 3298 3141 1.76      
9 A" 1063 1012 24.00      
10 A" 997 950 9.18      
11 A" 863 822 0.30      
12 A" 765 729 30.42      

Unscaled Zero Point Vibrational Energy (zpe) 9444.1 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 8994.6 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 B2PLYP/6-31+G**
ABC
1.05660 0.88937 0.49676

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.036 0.888 0.000
H2 0.733 1.660 0.000
C3 -0.036 -0.419 0.660
C4 -0.036 -0.419 -0.660
H5 -0.045 -0.981 1.578
H6 -0.045 -0.981 -1.578

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.08971.46341.46342.44592.4459
H21.08972.31222.31223.17333.1733
C31.46342.31221.31961.07692.3074
C41.46342.31221.31962.30741.0769
H52.44593.17331.07692.30743.1560
H62.44593.17332.30741.07693.1560

picture of cyclopropenyl radical state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C4 63.199 C1 C3 H5 148.294
C1 C4 C3 63.199 C1 C4 H6 148.294
H2 C1 C3 129.232 H2 C1 C4 129.232
C3 C1 C4 53.601 C3 C4 H6 148.500
C4 C3 H5 148.500
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.249      
2 H 0.129      
3 C -0.095      
4 C -0.095      
5 H 0.155      
6 H 0.155      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.723 -1.352 0.000 1.533
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.771 1.554 0.000
y 1.554 -18.946 0.000
z 0.000 0.000 -15.946
Traceless
 xyz
x -2.325 1.554 0.000
y 1.554 -1.087 0.000
z 0.000 0.000 3.412
Polar
3z2-r26.825
x2-y2-0.825
xy1.554
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.445 -0.040 0.000
y -0.040 5.515 0.000
z 0.000 0.000 5.096


<r2> (average value of r2) Å2
<r2> 33.659
(<r2>)1/2 5.802