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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G**
 hartrees
Energy at 0K-225.322269
Energy at 298.15K-225.326720
HF Energy-225.322269
Nuclear repulsion energy153.395221
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/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3269 3120 2.32      
2 A1 3261 3112 12.97      
3 A1 1490 1422 25.71      
4 A1 1332 1271 53.77      
5 A1 1190 1136 27.19      
6 A1 1010 964 2.68      
7 A1 924 881 3.80      
8 A2 888 848 0.00      
9 A2 567 541 0.00      
10 B1 878 838 0.31      
11 B1 765 730 19.96      
12 B1 519 495 29.97      
13 B2 3247 3098 1.49      
14 B2 1562 1491 19.36      
15 B2 1306 1246 0.02      
16 B2 1203 1148 5.92      
17 B2 1043 995 71.68      
18 B2 811 774 0.08      

Unscaled Zero Point Vibrational Energy (zpe) 12632.1 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 12054.8 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 HSEh1PBE/6-31G**
ABC
0.35805 0.30708 0.16531

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.089
N2 0.000 1.165 0.372
N3 0.000 -1.165 0.372
C4 0.000 0.735 -0.872
C5 0.000 -0.735 -0.872
H6 0.000 0.000 2.173
H7 0.000 1.402 -1.726
H8 0.000 -1.402 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36801.36802.09412.09411.08393.14553.1455
N21.36802.32901.31532.26992.14532.11133.3150
N31.36802.32902.26991.31532.14533.31502.1113
C42.09411.31532.26991.46943.13231.08452.3015
C52.09412.26991.31531.46943.13232.30151.0845
H61.08392.14532.14533.13233.13234.14414.1441
H73.14552.11133.31501.08452.30154.14412.8043
H83.14553.31502.11132.30151.08454.14412.8043

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 102.577 C1 N3 C5 102.577
N2 C1 N3 116.699 N2 C1 H6 121.651
N2 C4 C5 109.073 N2 C4 H7 122.941
N3 C1 H6 121.651 N3 C5 C4 109.073
N3 C5 H8 122.941 C4 C5 H8 127.986
C5 C4 H7 127.986
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.240      
2 N -0.418      
3 N -0.418      
4 C 0.064      
5 C 0.064      
6 H 0.160      
7 H 0.154      
8 H 0.154      


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 -1.674 1.674
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.848 0.000 0.000
y 0.000 -33.907 0.000
z 0.000 0.000 -21.973
Traceless
 xyz
x -0.908 0.000 0.000
y 0.000 -8.497 0.000
z 0.000 0.000 9.404
Polar
3z2-r218.809
x2-y25.059
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.616 0.000 0.000
y 0.000 5.887 0.000
z 0.000 0.000 7.236


<r2> (average value of r2) Å2
<r2> 75.887
(<r2>)1/2 8.711