return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: M06-2X/3-21G*

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 M06-2X/3-21G*
Rotational Constants (cm-1) from geometry optimized at M06-2X/3-21G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at M06-2X/3-21G*
 hartrees
Energy at 0K-115.235858
Energy at 298.15K-115.237556
HF Energy-115.235858
Nuclear repulsion energy57.537399
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 M06-2X/3-21G*
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' 3394 3215 1.42      
2 A' 3087 2924 27.73      
3 A' 1661 1573 0.61      
4 A' 1204 1140 18.85      
5 A' 1005 952 8.62      
6 A' 961 910 4.53      
7 A' 711 674 101.76      
8 A" 3347 3170 6.00      
9 A" 1101 1043 14.93      
10 A" 1000 947 15.90      
11 A" 955 904 2.52      
12 A" 739 700 23.64      

Unscaled Zero Point Vibrational Energy (zpe) 9582.0 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 9076.0 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 M06-2X/3-21G*
ABC
1.06174 0.86162 0.49009

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.037 0.907 0.000
H2 0.755 1.651 0.000
C3 -0.037 -0.426 0.658
C4 -0.037 -0.426 -0.658
H5 -0.040 -0.989 1.569
H6 -0.040 -0.989 -1.569

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.08691.48671.48672.46142.4614
H21.08692.31842.31843.17263.1726
C31.48672.31841.31611.07112.2972
C41.48672.31841.31612.29721.0711
H52.46143.17261.07112.29723.1381
H62.46143.17262.29721.07113.1381

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 63.730 C1 C3 H5 147.997
C1 C4 C3 63.730 C1 C4 H6 147.997
H2 C1 C3 127.858 H2 C1 C4 127.858
C3 C1 C4 52.540 C3 C4 H6 148.273
C4 C3 H5 148.273
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.146      
2 H 0.186      
3 C -0.235      
4 C -0.235      
5 H 0.215      
6 H 0.215      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.725 -1.225 0.000 1.423
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.436 1.288 0.000
y 1.288 -18.007 0.000
z 0.000 0.000 -15.822
Traceless
 xyz
x -2.522 1.288 0.000
y 1.288 -0.378 0.000
z 0.000 0.000 2.899
Polar
3z2-r25.798
x2-y2-1.429
xy1.288
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.793 0.283 0.000
y 0.283 4.253 0.000
z 0.000 0.000 4.338


<r2> (average value of r2) Å2
<r2> 33.607
(<r2>)1/2 5.797