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 C3H3N2 (imidazolyl radical)

using model chemistry: LSDA/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at LSDA/6-31G*
 hartrees
Energy at 0K-224.299302
Energy at 298.15K-224.303588
HF Energy-224.299302
Nuclear repulsion energy153.290234
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 LSDA/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 A1 3172 3113 0.23      
2 A1 3168 3109 10.31      
3 A1 1460 1433 30.41      
4 A1 1299 1275 45.74      
5 A1 1187 1164 21.23      
6 A1 989 971 2.18      
7 A1 897 880 4.51      
8 A2 849 833 0.00      
9 A2 545 535 0.00      
10 B1 852 836 0.05      
11 B1 685 673 27.68      
12 B1 437 429 19.85      
13 B2 3156 3097 0.58      
14 B2 1520 1491 14.68      
15 B2 1261 1238 0.59      
16 B2 1182 1160 0.29      
17 B2 1038 1019 93.94      
18 B2 815 800 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 12256.4 cm-1
Scaled (by 0.9813) Zero Point Vibrational Energy (zpe) 12027.2 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 LSDA/6-31G*
ABC
0.35732 0.30729 0.16521

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.088
N2 0.000 1.164 0.373
N3 0.000 -1.164 0.373
C4 0.000 0.733 -0.872
C5 0.000 -0.733 -0.872
H6 0.000 0.000 2.183
H7 0.000 1.410 -1.733
H8 0.000 -1.410 -1.733

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36631.36632.09232.09231.09543.15303.1530
N21.36632.32881.31782.26912.15232.11983.3256
N31.36632.32882.26911.31782.15233.32562.1198
C42.09231.31782.26911.46533.14191.09492.3088
C52.09232.26911.31781.46533.14192.30881.0949
H61.09542.15232.15233.14193.14194.16184.1618
H73.15302.11983.32561.09492.30884.16182.8197
H83.15303.32562.11982.30881.09494.16182.8197

picture of imidazolyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 102.420 C1 N3 C5 102.420
N2 C1 N3 116.912 N2 C1 H6 121.544
N2 C4 C5 109.124 N2 C4 H7 122.672
N3 C1 H6 121.544 N3 C5 C4 109.124
N3 C5 H8 122.672 C4 C5 H8 128.204
C5 C4 H7 128.204
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.124      
2 N -0.339      
3 N -0.339      
4 C -0.010      
5 C -0.010      
6 H 0.198      
7 H 0.189      
8 H 0.189      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -1.567 1.567
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.882 0.000 0.000
y 0.000 -33.677 0.000
z 0.000 0.000 -22.171
Traceless
 xyz
x -0.958 0.000 0.000
y 0.000 -8.151 0.000
z 0.000 0.000 9.109
Polar
3z2-r218.218
x2-y24.795
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.615 0.000 0.000
y 0.000 5.998 0.000
z 0.000 0.000 7.366


<r2> (average value of r2) Å2
<r2> 75.981
(<r2>)1/2 8.717