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

using model chemistry: HSEh1PBE/6-31G*

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

Conformer 2 (CS)

Jump to S1C1
Energy calculated at HSEh1PBE/6-31G*
 hartrees
Energy at 0K-115.817660
Energy at 298.15K-115.819280
HF Energy-115.817660
Nuclear repulsion energy58.034492
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/6-31G*
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' 3336 3172 0.05      
2 A' 3101 2949 65.36      
3 A' 1706 1622 0.25      
4 A' 1282 1219 10.65      
5 A' 1021 971 17.77      
6 A' 933 887 6.10      
7 A' 616 585 63.90      
8 A" 3289 3128 0.55      
9 A" 1052 1000 24.83      
10 A" 999 951 3.09      
11 A" 882 839 0.27      
12 A" 736 700 32.24      

Unscaled Zero Point Vibrational Energy (zpe) 9475.9 cm-1
Scaled (by 0.951) Zero Point Vibrational Energy (zpe) 9011.6 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 HSEh1PBE/6-31G*
ABC
1.06347 0.89343 0.50018

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.037 0.886 0.000
H2 0.747 1.649 0.000
C3 -0.037 -0.417 0.656
C4 -0.037 -0.417 -0.656
H5 -0.040 -0.981 1.577
H6 -0.040 -0.981 -1.577

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.09401.45861.45862.44392.4439
H21.09402.30492.30493.16583.1658
C31.45862.30491.31201.08032.3035
C41.45862.30491.31202.30351.0803
H52.44393.16581.08032.30353.1549
H62.44393.16582.30351.08033.1549

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 63.273 C1 C3 H5 148.192
C1 C4 C3 63.273 C1 C4 H6 148.192
H2 C1 C3 128.526 H2 C1 C4 128.526
C3 C1 C4 53.454 C3 C4 H6 148.535
C4 C3 H5 148.535
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.238      
2 H 0.152      
3 C -0.140      
4 C -0.140      
5 H 0.183      
6 H 0.183      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.640 -1.303 0.000 1.452
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -18.729 1.191 0.000
y 1.191 -17.916 0.000
z 0.000 0.000 -15.338
Traceless
 xyz
x -2.101 1.191 0.000
y 1.191 -0.883 0.000
z 0.000 0.000 2.985
Polar
3z2-r25.970
x2-y2-0.812
xy1.191
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.192 0.345 0.000
y 0.345 4.558 0.000
z 0.000 0.000 4.702


<r2> (average value of r2) Å2
<r2> 32.985
(<r2>)1/2 5.743