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

using model chemistry: LSDA/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at LSDA/aug-cc-pVDZ
 hartrees
Energy at 0K-224.323222
Energy at 298.15K-224.327552
HF Energy-224.323222
Nuclear repulsion energy153.089741
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 LSDA/aug-cc-pVDZ
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 3162 3126 0.00      
2 A1 3156 3120 5.54      
3 A1 1447 1430 30.17      
4 A1 1280 1266 43.89      
5 A1 1186 1173 17.90      
6 A1 978 967 0.90      
7 A1 893 883 3.85      
8 A2 859 849 0.00      
9 A2 540 534 0.00      
10 B1 865 855 0.00      
11 B1 694 686 30.76      
12 B1 448 443 22.42      
13 B2 3143 3107 0.03      
14 B2 1496 1479 20.04      
15 B2 1235 1221 1.03      
16 B2 1163 1150 0.01      
17 B2 1033 1021 91.87      
18 B2 815 805 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 12195.2 cm-1
Scaled (by 0.9887) Zero Point Vibrational Energy (zpe) 12057.4 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 LSDA/aug-cc-pVDZ
ABC
0.35484 0.30778 0.16482

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.093
N2 0.000 1.162 0.373
N3 0.000 -1.162 0.373
C4 0.000 0.734 -0.875
C5 0.000 -0.734 -0.875
H6 0.000 0.000 2.192
H7 0.000 1.415 -1.737
H8 0.000 -1.415 -1.737

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36711.36712.10072.10071.09843.16493.1649
N21.36712.32351.31882.26962.15842.12543.3307
N31.36712.32352.26961.31882.15843.33072.1254
C42.10071.31882.26961.46843.15331.09912.3160
C52.10072.26961.31881.46843.15332.31601.0991
H61.09842.15842.15843.15333.15334.17644.1764
H73.16492.12543.33071.09912.31604.17642.8304
H83.16493.33072.12542.31601.09914.17642.8304

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 102.894 C1 N3 C5 102.894
N2 C1 N3 116.378 N2 C1 H6 121.811
N2 C4 C5 108.917 N2 C4 H7 122.794
N3 C1 H6 121.811 N3 C5 C4 108.917
N3 C5 H8 122.794 C4 C5 H8 128.289
C5 C4 H7 128.289
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.328      
2 N -0.139      
3 N -0.139      
4 C 0.376      
5 C 0.376      
6 H -0.197      
7 H -0.302      
8 H -0.302      


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 -1.653 1.653
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.770 0.000 0.000
y 0.000 -34.980 0.000
z 0.000 0.000 -22.539
Traceless
 xyz
x -1.010 0.000 0.000
y 0.000 -8.825 0.000
z 0.000 0.000 9.836
Polar
3z2-r219.672
x2-y25.210
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.614 0.000 0.000
y 0.000 7.671 0.000
z 0.000 0.000 8.483


<r2> (average value of r2) Å2
<r2> 76.686
(<r2>)1/2 8.757