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

using model chemistry: B3LYP/CEP-121G*

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/CEP-121G*
 hartrees
Energy at 0K-38.502505
Energy at 298.15K-38.506884
HF Energy-38.502505
Nuclear repulsion energy77.055188
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/CEP-121G*
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 3222 3124 6.10      
2 A1 3209 3111 22.21      
3 A1 1421 1377 15.75      
4 A1 1301 1261 59.56      
5 A1 1145 1110 29.15      
6 A1 967 937 1.86      
7 A1 901 873 2.65      
8 A2 865 839 0.00      
9 A2 558 541 0.00      
10 B1 856 830 0.04      
11 B1 754 731 28.31      
12 B1 516 500 27.20      
13 B2 3196 3098 2.84      
14 B2 1510 1464 24.91      
15 B2 1287 1248 0.08      
16 B2 1176 1140 8.99      
17 B2 999 969 70.82      
18 B2 771 748 0.56      

Unscaled Zero Point Vibrational Energy (zpe) 12325.7 cm-1
Scaled (by 0.9694) Zero Point Vibrational Energy (zpe) 11948.5 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/CEP-121G*
ABC
0.35073 0.30055 0.16185

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.103
N2 0.000 1.176 0.374
N3 0.000 -1.176 0.374
C4 0.000 0.745 -0.881
C5 0.000 -0.745 -0.881
H6 0.000 0.000 2.190
H7 0.000 1.417 -1.737
H8 0.000 -1.417 -1.737

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.38381.38382.11972.11971.08713.17373.1737
N21.38382.35221.32772.29472.16372.12463.3434
N31.38382.35222.29471.32772.16373.34342.1246
C42.11971.32772.29471.48913.16071.08782.3243
C52.11972.29471.32771.48913.16072.32431.0878
H61.08712.16372.16373.16073.16074.17484.1748
H73.17372.12463.34341.08782.32434.17482.8333
H83.17373.34342.12462.32431.08784.17482.8333

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 102.826 C1 N3 C5 102.826
N2 C1 N3 116.410 N2 C1 H6 121.795
N2 C4 C5 108.969 N2 C4 H7 122.871
N3 C1 H6 121.795 N3 C5 C4 108.969
N3 C5 H8 122.871 C4 C5 H8 128.160
C5 C4 H7 128.160
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.223      
2 N 0.008      
3 N 0.008      
4 C -0.193      
5 C -0.193      
6 H 0.192      
7 H 0.201      
8 H 0.201      


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 -1.704 1.704
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.373 0.000 0.000
y 0.000 -34.567 0.000
z 0.000 0.000 -22.154
Traceless
 xyz
x -1.013 0.000 0.000
y 0.000 -8.803 0.000
z 0.000 0.000 9.816
Polar
3z2-r219.631
x2-y25.194
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.497 0.000 0.000
y 0.000 6.435 0.000
z 0.000 0.000 7.834


<r2> (average value of r2) Å2
<r2> 63.520
(<r2>)1/2 7.970