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

using model chemistry: BLYP/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at BLYP/6-311G*
 hartrees
Energy at 0K-225.537679
Energy at 298.15K-225.541942
HF Energy-225.537679
Nuclear repulsion energy151.671949
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 BLYP/6-311G*
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 3151 3143 6.13      
2 A1 3134 3127 22.91      
3 A1 1371 1367 12.72      
4 A1 1270 1267 46.02      
5 A1 1113 1110 28.34      
6 A1 938 936 2.03      
7 A1 884 882 2.13      
8 A2 837 835 0.00      
9 A2 546 545 0.00      
10 B1 829 827 0.08      
11 B1 704 702 28.32      
12 B1 476 475 23.21      
13 B2 3120 3113 4.37      
14 B2 1464 1460 18.01      
15 B2 1252 1249 0.03      
16 B2 1154 1152 5.35      
17 B2 966 963 73.75      
18 B2 738 736 4.72      

Unscaled Zero Point Vibrational Energy (zpe) 11974.4 cm-1
Scaled (by 0.9975) Zero Point Vibrational Energy (zpe) 11944.4 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 BLYP/6-311G*
ABC
0.35057 0.29959 0.16154

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.103
N2 0.000 1.179 0.374
N3 0.000 -1.179 0.374
C4 0.000 0.743 -0.882
C5 0.000 -0.743 -0.882
H6 0.000 0.000 2.193
H7 0.000 1.419 -1.737
H8 0.000 -1.419 -1.737

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.38661.38662.11952.11951.08913.17513.1751
N21.38662.35891.32952.29632.16732.12483.3481
N31.38662.35892.29631.32952.16733.34812.1248
C42.11951.32952.29631.48603.16261.09032.3252
C52.11952.29631.32951.48603.16262.32521.0903
H61.08912.16732.16733.16263.16264.17794.1779
H73.17512.12483.34811.09032.32524.17792.8383
H83.17513.34812.12482.32521.09034.17792.8383

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 102.559 C1 N3 C5 102.559
N2 C1 N3 116.552 N2 C1 H6 121.724
N2 C4 C5 109.165 N2 C4 H7 122.508
N3 C1 H6 121.724 N3 C5 C4 109.165
N3 C5 H8 122.508 C4 C5 H8 128.327
C5 C4 H7 128.327
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.028      
2 N -0.234      
3 N -0.234      
4 C -0.090      
5 C -0.090      
6 H 0.212      
7 H 0.204      
8 H 0.204      


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 -1.549 1.549
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.387 0.000 0.000
y 0.000 -34.467 0.000
z 0.000 0.000 -22.700
Traceless
 xyz
x -0.804 0.000 0.000
y 0.000 -8.424 0.000
z 0.000 0.000 9.227
Polar
3z2-r218.455
x2-y25.080
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.126 0.000 0.000
y 0.000 6.385 0.000
z 0.000 0.000 7.745


<r2> (average value of r2) Å2
<r2> 77.582
(<r2>)1/2 8.808