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

using model chemistry: PBEPBE/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 PBEPBE/6-31G
 hartrees
Energy at 0K-225.204835
Energy at 298.15K-225.209035
HF Energy-225.204835
Nuclear repulsion energy150.093003
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 PBEPBE/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 3248 3203 1.31      
2 A1 3226 3181 6.29      
3 A1 1343 1325 7.49      
4 A1 1266 1249 46.58      
5 A1 1098 1083 34.78      
6 A1 951 938 7.43      
7 A1 872 860 0.43      
8 A2 851 839 0.00      
9 A2 545 538 0.00      
10 B1 825 814 0.17      
11 B1 715 705 44.22      
12 B1 450 444 22.92      
13 B2 3210 3166 1.73      
14 B2 1432 1412 1.94      
15 B2 1253 1236 0.01      
16 B2 1150 1134 7.35      
17 B2 930 917 55.38      
18 B2 672 663 12.00      

Unscaled Zero Point Vibrational Energy (zpe) 12018.2 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 11852.3 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 PBEPBE/6-31G
ABC
0.34049 0.29550 0.15820

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.126
N2 0.000 1.190 0.377
N3 0.000 -1.190 0.377
C4 0.000 0.745 -0.895
C5 0.000 -0.745 -0.895
H6 0.000 0.000 2.213
H7 0.000 1.417 -1.751
H8 0.000 -1.417 -1.751

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.40691.40692.15432.15431.08643.20723.2072
N21.40692.38081.34732.31562.18832.13943.3651
N31.40692.38082.31561.34732.18833.36512.1394
C42.15431.34732.31561.48983.19581.08812.3251
C52.15432.31561.34731.48983.19582.32511.0881
H61.08642.18832.18833.19583.19584.20924.2092
H73.20722.13943.36511.08812.32514.20922.8339
H83.20723.36512.13942.32511.08814.20922.8339

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 102.901 C1 N3 C5 102.901
N2 C1 N3 115.584 N2 C1 H6 122.208
N2 C4 C5 109.307 N2 C4 H7 122.551
N3 C1 H6 122.208 N3 C5 C4 109.307
N3 C5 H8 122.551 C4 C5 H8 128.142
C5 C4 H7 128.142
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.111      
2 N -0.340      
3 N -0.340      
4 C 0.002      
5 C 0.002      
6 H 0.197      
7 H 0.184      
8 H 0.184      


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 -1.691 1.691
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.303 0.000 0.000
y 0.000 -35.240 0.000
z 0.000 0.000 -22.131
Traceless
 xyz
x -0.618 0.000 0.000
y 0.000 -9.523 0.000
z 0.000 0.000 10.141
Polar
3z2-r220.282
x2-y25.936
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.437 0.000 0.000
y 0.000 6.082 0.000
z 0.000 0.000 7.481


<r2> (average value of r2) Å2
<r2> 78.794
(<r2>)1/2 8.877