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All results from a given calculation for C3H3N2 (imidazolyl radical)

using model chemistry: HSEh1PBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at HSEh1PBE/6-31+G**
 hartrees
Energy at 0K-225.331257
Energy at 298.15K 
HF Energy-225.331257
Nuclear repulsion energy153.350247
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/6-31+G**
Rotational Constants (cm-1) from geometry optimized at HSEh1PBE/6-31+G**
ABC
0.35694 0.30762 0.16522

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.092
N2 0.000 1.163 0.372
N3 0.000 -1.163 0.372
C4 0.000 0.735 -0.873
C5 0.000 -0.735 -0.873
H6 0.000 0.000 2.176
H7 0.000 1.404 -1.727
H8 0.000 -1.404 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36791.36792.09822.09821.08353.14883.1488
N21.36792.32551.31612.26952.14632.11193.3149
N31.36792.32552.26951.31612.14633.31492.1119
C42.09821.31612.26951.47003.13601.08422.3027
C52.09822.26951.31611.47003.13602.30271.0842
H61.08352.14632.14633.13603.13604.14694.1469
H73.14882.11193.31491.08422.30274.14692.8074
H83.14883.31492.11192.30271.08424.14692.8074

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 102.820 C1 N3 C5 102.820
N2 C1 N3 116.427 N2 C1 H6 121.786
N2 C4 C5 108.966 N2 C4 H7 122.954
N3 C1 H6 121.786 N3 C5 C4 108.966
N3 C5 H8 122.954 C4 C5 H8 128.080
C5 C4 H7 128.080
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.009      
2 N -0.243      
3 N -0.243      
4 C -0.027      
5 C -0.027      
6 H 0.175      
7 H 0.178      
8 H 0.178      


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 -1.793 1.793
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.633 0.000 0.000
y 0.000 -35.165 0.000
z 0.000 0.000 -22.255
Traceless
 xyz
x -0.923 0.000 0.000
y 0.000 -9.221 0.000
z 0.000 0.000 10.144
Polar
3z2-r220.287
x2-y25.532
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.977 0.000 0.000
y 0.000 7.019 0.000
z 0.000 0.000 7.833


<r2> (average value of r2) Å2
<r2> 76.407
(<r2>)1/2 8.741