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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31+G**
Rotational Constants (cm-1) from geometry optimized at HSEh1PBE/6-31+G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31+G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at HSEh1PBE/6-31+G**
 hartrees
Energy at 0K-115.829028
Energy at 298.15K-115.830638
HF Energy-115.829028
Nuclear repulsion energy58.035791
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 HSEh1PBE/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' 3330 3179 0.39      
2 A' 3110 2970 47.93      
3 A' 1693 1616 0.54      
4 A' 1267 1210 9.82      
5 A' 985 941 19.16      
6 A' 926 884 7.39      
7 A' 611 584 84.40      
8 A" 3284 3135 4.00      
9 A" 1042 995 23.59      
10 A" 992 947 6.85      
11 A" 878 838 0.54      
12 A" 725 692 46.11      

Unscaled Zero Point Vibrational Energy (zpe) 9420.6 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 8994.8 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 HSEh1PBE/6-31+G**
ABC
1.06206 0.89532 0.49964

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.035 0.883 0.000
H2 0.730 1.663 0.000
C3 -0.035 -0.417 0.657
C4 -0.035 -0.417 -0.657
H5 -0.046 -0.979 1.579
H6 -0.046 -0.979 -1.579

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.09221.45701.45702.44162.4416
H21.09222.31152.31153.17393.1739
C31.45702.31151.31451.07952.3056
C41.45702.31151.31452.30561.0795
H52.44163.17391.07952.30563.1575
H62.44163.17392.30561.07953.1575

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 63.185 C1 C3 H5 148.198
C1 C4 C3 63.185 C1 C4 H6 148.198
H2 C1 C3 129.567 H2 C1 C4 129.567
C3 C1 C4 53.630 C3 C4 H6 148.608
C4 C3 H5 148.608
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.269      
2 H 0.145      
3 C -0.107      
4 C -0.107      
5 H 0.169      
6 H 0.169      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.724 -1.355 0.000 1.537
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.606 1.574 0.000
y 1.574 -18.681 0.000
z 0.000 0.000 -15.663
Traceless
 xyz
x -2.434 1.574 0.000
y 1.574 -1.046 0.000
z 0.000 0.000 3.480
Polar
3z2-r26.960
x2-y2-0.926
xy1.574
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.420 -0.027 0.000
y -0.027 5.488 0.000
z 0.000 0.000 5.178


<r2> (average value of r2) Å2
<r2> 33.411
(<r2>)1/2 5.780