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

using model chemistry: B3LYP/SDD

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3LYP/SDD
 hartrees
Energy at 0K-225.498011
Energy at 298.15K-225.502321
HF Energy-225.498011
Nuclear repulsion energy150.372180
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 B3LYP/SDD
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 3311 3182 1.11      
2 A1 3292 3165 8.33      
3 A1 1383 1329 12.07      
4 A1 1293 1243 56.19      
5 A1 1123 1080 32.18      
6 A1 964 927 3.89      
7 A1 888 854 1.74      
8 A2 874 840 0.00      
9 A2 561 539 0.00      
10 B1 838 806 0.05      
11 B1 756 727 58.88      
12 B1 498 479 30.97      
13 B2 3274 3147 0.16      
14 B2 1464 1407 4.72      
15 B2 1278 1229 0.04      
16 B2 1172 1126 12.19      
17 B2 961 924 59.95      
18 B2 704 676 9.68      

Unscaled Zero Point Vibrational Energy (zpe) 12315.9 cm-1
Scaled (by 0.9613) Zero Point Vibrational Energy (zpe) 11839.3 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 B3LYP/SDD
ABC
0.34007 0.29762 0.15872

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/SDD

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.130
N2 0.000 1.182 0.375
N3 0.000 -1.182 0.375
C4 0.000 0.749 -0.896
C5 0.000 -0.749 -0.896
H6 0.000 0.000 2.211
H7 0.000 1.421 -1.744
H8 0.000 -1.421 -1.744

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.40241.40242.16032.16031.08093.20663.2066
N21.40242.36321.34252.31152.18352.13283.3561
N31.40242.36322.31151.34252.18353.35612.1328
C42.16031.34252.31151.49843.19611.08202.3298
C52.16032.31151.34251.49843.19612.32981.0820
H61.08092.18352.18353.19613.19614.20294.2029
H73.20662.13283.35611.08202.32984.20292.8413
H83.20663.35612.13282.32981.08204.20292.8413

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 103.799 C1 N3 C5 103.799
N2 C1 N3 114.824 N2 C1 H6 122.588
N2 C4 C5 108.790 N2 C4 H7 122.854
N3 C1 H6 122.588 N3 C5 C4 108.790
N3 C5 H8 122.854 C4 C5 H8 128.357
C5 C4 H7 128.357
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.158      
2 N -0.097      
3 N -0.097      
4 C -0.220      
5 C -0.220      
6 H 0.263      
7 H 0.264      
8 H 0.264      


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 -1.894 1.894
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.722 0.000 0.000
y 0.000 -36.165 0.000
z 0.000 0.000 -21.889
Traceless
 xyz
x -0.696 0.000 0.000
y 0.000 -10.359 0.000
z 0.000 0.000 11.055
Polar
3z2-r222.109
x2-y26.442
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.761 0.000 0.000
y 0.000 5.966 0.000
z 0.000 0.000 7.325


<r2> (average value of r2) Å2
<r2> 78.834
(<r2>)1/2 8.879