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

using model chemistry: mPW1PW91/aug-cc-pVDZ

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 mPW1PW91/aug-cc-pVDZ
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/aug-cc-pVDZ
See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-115.937413
Energy at 298.15K-115.939001
HF Energy-115.937413
Nuclear repulsion energy57.864245
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/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3321 3182 0.43      
2 A' 3096 2967 53.37      
3 A' 1683 1613 0.90      
4 A' 1258 1205 6.94      
5 A' 972 931 20.93      
6 A' 916 877 4.38      
7 A' 591 566 70.98      
8 A" 3273 3137 3.61      
9 A" 1036 992 22.53      
10 A" 974 933 3.58      
11 A" 852 817 0.62      
12 A" 712 682 42.17      

Unscaled Zero Point Vibrational Energy (zpe) 9341.2 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 8951.7 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/aug-cc-pVDZ
ABC
1.05749 0.88873 0.49674

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.036 0.887 0.000
H2 0.733 1.668 0.000
C3 -0.036 -0.418 0.659
C4 -0.036 -0.418 -0.659
H5 -0.044 -0.986 1.581
H6 -0.044 -0.986 -1.581

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.09651.46151.46152.45082.4508
H21.09652.31902.31903.18573.1857
C31.46152.31901.31751.08332.3109
C41.46152.31901.31752.31091.0833
H52.45083.18571.08332.31093.1626
H62.45083.18572.31091.08333.1626

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 63.209 C1 C3 H5 148.398
C1 C4 C3 63.209 C1 C4 H6 148.398
H2 C1 C3 129.522 H2 C1 C4 129.522
C3 C1 C4 53.583 C3 C4 H6 148.388
C4 C3 H5 148.388
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.004      
2 H -0.432      
3 C 0.533      
4 C 0.533      
5 H -0.319      
6 H -0.319      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.643 -1.333 0.000 1.480
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.519 1.415 0.000
y 1.415 -18.597 0.000
z 0.000 0.000 -15.610
Traceless
 xyz
x -2.415 1.415 0.000
y 1.415 -1.032 0.000
z 0.000 0.000 3.447
Polar
3z2-r26.895
x2-y2-0.922
xy1.415
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.056 0.031 0.000
y 0.031 5.891 0.000
z 0.000 0.000 5.532


<r2> (average value of r2) Å2
<r2> 33.498
(<r2>)1/2 5.788