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

using model chemistry: B3LYP/LANL2DZ

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/LANL2DZ
 hartrees
Energy at 0K-225.497258
Energy at 298.15K-225.501565
HF Energy-225.497258
Nuclear repulsion energy150.393225
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/LANL2DZ
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 3309 3181 1.01      
2 A1 3291 3163 7.95      
3 A1 1382 1329 11.99      
4 A1 1294 1243 55.97      
5 A1 1123 1080 32.07      
6 A1 964 927 3.89      
7 A1 889 854 1.72      
8 A2 873 839 0.00      
9 A2 561 539 0.00      
10 B1 838 805 0.09      
11 B1 755 726 59.91      
12 B1 498 478 30.98      
13 B2 3273 3146 0.12      
14 B2 1463 1407 4.59      
15 B2 1278 1229 0.04      
16 B2 1172 1127 12.36      
17 B2 961 924 59.86      
18 B2 703 675 9.80      

Unscaled Zero Point Vibrational Energy (zpe) 12313.2 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 11835.4 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 B3LYP/LANL2DZ
ABC
0.34017 0.29771 0.15876

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/LANL2DZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.130
N2 0.000 1.181 0.375
N3 0.000 -1.181 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 1.420 -1.745
H8 0.000 -1.420 -1.745

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.40221.40222.15992.15991.08083.20633.2063
N21.40222.36291.34222.31122.18332.13283.3557
N31.40222.36292.31121.34222.18333.35572.1328
C42.15991.34222.31121.49813.19581.08202.3294
C52.15992.31121.34221.49813.19582.32941.0820
H61.08082.18332.18333.19583.19584.20274.2027
H73.20632.13283.35571.08202.32944.20272.8405
H83.20633.35572.13282.32941.08204.20272.8405

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 103.795 C1 N3 C5 103.795
N2 C1 N3 114.827 N2 C1 H6 122.587
N2 C4 C5 108.792 N2 C4 H7 122.869
N3 C1 H6 122.587 N3 C5 C4 108.792
N3 C5 H8 122.869 C4 C5 H8 128.339
C5 C4 H7 128.339
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/LANL2DZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.159      
2 N -0.099      
3 N -0.099      
4 C -0.217      
5 C -0.217      
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 -1.897 1.897
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.732 0.000 0.000
y 0.000 -36.155 0.000
z 0.000 0.000 -21.861
Traceless
 xyz
x -0.724 0.000 0.000
y 0.000 -10.358 0.000
z 0.000 0.000 11.082
Polar
3z2-r222.164
x2-y26.422
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.732 0.000 0.000
y 0.000 5.959 0.000
z 0.000 0.000 7.315


<r2> (average value of r2) Å2
<r2> 78.812
(<r2>)1/2 8.878