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: mPW1PW91/6-31+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 mPW1PW91/6-31+G**
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/6-31+G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-115.933247
Energy at 298.15K-115.934859
HF Energy-115.933247
Nuclear repulsion energy58.043037
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 mPW1PW91/6-31+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' 3337 3176 0.38      
2 A' 3117 2966 47.78      
3 A' 1692 1611 0.57      
4 A' 1264 1203 9.81      
5 A' 989 941 18.76      
6 A' 927 882 7.35      
7 A' 612 582 86.06      
8 A" 3291 3132 3.91      
9 A" 1044 994 23.65      
10 A" 993 945 7.16      
11 A" 879 837 0.43      
12 A" 723 688 46.31      

Unscaled Zero Point Vibrational Energy (zpe) 9433.3 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 8978.6 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 mPW1PW91/6-31+G**
ABC
1.06330 0.89455 0.49967

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.035 0.884 0.000
H2 0.729 1.662 0.000
C3 -0.035 -0.417 0.657
C4 -0.035 -0.417 -0.657
H5 -0.046 -0.979 1.577
H6 -0.046 -0.979 -1.577

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.09091.45771.45772.44112.4411
H21.09092.31082.31083.17243.1724
C31.45772.31081.31401.07822.3037
C41.45772.31081.31402.30371.0782
H52.44113.17241.07822.30373.1541
H62.44113.17242.30371.07823.1541

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 63.210 C1 C3 H5 148.207
C1 C4 C3 63.210 C1 C4 H6 148.207
H2 C1 C3 129.542 H2 C1 C4 129.542
C3 C1 C4 53.581 C3 C4 H6 148.575
C4 C3 H5 148.575
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.268      
2 H 0.147      
3 C -0.112      
4 C -0.112      
5 H 0.173      
6 H 0.173      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.725 -1.351 0.000 1.533
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.553 1.568 0.000
y 1.568 -18.606 0.000
z 0.000 0.000 -15.619
Traceless
 xyz
x -2.440 1.568 0.000
y 1.568 -1.020 0.000
z 0.000 0.000 3.461
Polar
3z2-r26.921
x2-y2-0.947
xy1.568
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.384 -0.015 0.000
y -0.015 5.458 0.000
z 0.000 0.000 5.163


<r2> (average value of r2) Å2
<r2> 33.367
(<r2>)1/2 5.776