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

using model chemistry: BLYP/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at BLYP/TZVP
 hartrees
Energy at 0K-225.561170
Energy at 298.15K-225.565438
HF Energy-225.561170
Nuclear repulsion energy151.848829
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 BLYP/TZVP
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 3159 3151 2.44      
2 A1 3144 3136 13.26      
3 A1 1364 1361 13.31      
4 A1 1271 1268 47.97      
5 A1 1113 1110 28.46      
6 A1 938 935 1.90      
7 A1 886 884 1.23      
8 A2 826 824 0.00      
9 A2 542 540 0.00      
10 B1 825 823 0.00      
11 B1 710 708 28.49      
12 B1 473 472 23.41      
13 B2 3132 3124 1.48      
14 B2 1459 1455 17.38      
15 B2 1257 1254 0.07      
16 B2 1157 1154 6.47      
17 B2 964 962 72.07      
18 B2 732 730 6.76      

Unscaled Zero Point Vibrational Energy (zpe) 11975.2 cm-1
Scaled (by 0.9975) Zero Point Vibrational Energy (zpe) 11945.2 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 BLYP/TZVP
ABC
0.35022 0.30120 0.16193

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.106
N2 0.000 1.176 0.374
N3 0.000 -1.176 0.374
C4 0.000 0.742 -0.882
C5 0.000 -0.742 -0.882
H6 0.000 0.000 2.192
H7 0.000 1.414 -1.737
H8 0.000 -1.414 -1.737

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.38511.38512.12122.12121.08693.17493.1749
N21.38512.35181.32822.29212.16592.12393.3411
N31.38512.35182.29211.32822.16593.34112.1239
C42.12121.32822.29211.48393.16241.08792.3196
C52.12122.29211.32821.48393.16242.31961.0879
H61.08692.16592.16593.16243.16244.17614.1761
H73.17492.12393.34111.08792.31964.17612.8285
H83.17493.34112.12392.31961.08794.17612.8285

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 102.830 C1 N3 C5 102.830
N2 C1 N3 116.196 N2 C1 H6 121.902
N2 C4 C5 109.072 N2 C4 H7 122.757
N3 C1 H6 121.902 N3 C5 C4 109.072
N3 C5 H8 122.757 C4 C5 H8 128.171
C5 C4 H7 128.171
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.046      
2 N -0.107      
3 N -0.107      
4 C -0.069      
5 C -0.069      
6 H 0.137      
7 H 0.130      
8 H 0.130      


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 -1.631 1.631
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.655 0.000 0.000
y 0.000 -35.315 0.000
z 0.000 0.000 -22.919
Traceless
 xyz
x -0.538 0.000 0.000
y 0.000 -9.028 0.000
z 0.000 0.000 9.566
Polar
3z2-r219.131
x2-y25.660
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.934 0.000 0.000
y 0.000 7.009 0.000
z 0.000 0.000 8.119


<r2> (average value of r2) Å2
<r2> 77.719
(<r2>)1/2 8.816