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

using model chemistry: TPSSh/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at TPSSh/3-21G*
 hartrees
Energy at 0K-224.298739
Energy at 298.15K-224.302948
HF Energy-224.298739
Nuclear repulsion energy150.162041
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 TPSSh/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 A1 3297 3184 1.82      
2 A1 3273 3161 5.23      
3 A1 1326 1280 0.39      
4 A1 1271 1228 38.37      
5 A1 1083 1046 47.66      
6 A1 913 881 7.42      
7 A1 861 831 0.49      
8 A2 894 863 0.00      
9 A2 571 551 0.00      
10 B1 842 813 0.00      
11 B1 767 740 54.26      
12 B1 500 483 28.79      
13 B2 3256 3144 3.05      
14 B2 1433 1384 0.50      
15 B2 1272 1228 0.00      
16 B2 1152 1113 6.95      
17 B2 928 896 46.76      
18 B2 548 529 12.81      

Unscaled Zero Point Vibrational Energy (zpe) 12092.5 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 11677.7 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 TPSSh/3-21G*
ABC
0.34127 0.29484 0.15818

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.131
N2 0.000 1.191 0.373
N3 0.000 -1.191 0.373
C4 0.000 0.748 -0.893
C5 0.000 -0.748 -0.893
H6 0.000 0.000 2.208
H7 0.000 1.408 -1.747
H8 0.000 -1.408 -1.747

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.41181.41182.15742.15741.07713.20343.2034
N21.41182.38221.34072.31592.18762.13053.3539
N31.41182.38222.31591.34072.18763.35392.1305
C42.15741.34072.31591.49703.18951.07912.3197
C52.15742.31591.34071.49703.18952.31971.0791
H61.07712.18762.18763.18953.18954.19764.1976
H73.20342.13053.35391.07912.31974.19762.8166
H83.20343.35392.13052.31971.07914.19762.8166

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 103.190 C1 N3 C5 103.190
N2 C1 N3 115.064 N2 C1 H6 122.468
N2 C4 C5 109.278 N2 C4 H7 123.027
N3 C1 H6 122.468 N3 C5 C4 109.278
N3 C5 H8 123.027 C4 C5 H8 127.695
C5 C4 H7 127.695
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.186      
2 N -0.483      
3 N -0.483      
4 C 0.008      
5 C 0.008      
6 H 0.265      
7 H 0.249      
8 H 0.249      


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 -1.967 1.967
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.060 0.000 0.000
y 0.000 5.420 0.000
z 0.000 0.000 7.057


<r2> (average value of r2) Å2
<r2> 78.638
(<r2>)1/2 8.868