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

using model chemistry: B2PLYP/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B2PLYP/6-31G**
 hartrees
Energy at 0K-225.334256
Energy at 298.15K-225.338692
HF Energy-225.104439
Nuclear repulsion energy152.932129
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 B2PLYP/6-31G**
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 3289 3289 2.19      
2 A1 3280 3280 12.48      
3 A1 1467 1467 14.96      
4 A1 1336 1336 52.24      
5 A1 1174 1174 29.73      
6 A1 1016 1016 3.91      
7 A1 921 921 3.04      
8 A2 884 884 0.00      
9 A2 569 569 0.00      
10 B1 875 875 0.66      
11 B1 775 775 17.65      
12 B1 520 520 30.77      
13 B2 3267 3267 1.60      
14 B2 1560 1560 16.21      
15 B2 1317 1317 0.00      
16 B2 1213 1213 6.48      
17 B2 1016 1016 68.88      
18 B2 770 770 0.70      

Unscaled Zero Point Vibrational Energy (zpe) 12624.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 12624.3 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 B2PLYP/6-31G**
ABC
0.35556 0.30544 0.16430

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.095
N2 0.000 1.170 0.373
N3 0.000 -1.170 0.373
C4 0.000 0.734 -0.875
C5 0.000 -0.734 -0.875
H6 0.000 0.000 2.175
H7 0.000 1.399 -1.728
H8 0.000 -1.399 -1.728

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37451.37452.10222.10221.08083.15043.1504
N21.37452.33911.32142.27622.14902.11323.3181
N31.37452.33912.27621.32142.14903.31812.1132
C42.10221.32142.27621.46853.13771.08142.2973
C52.10222.27621.32141.46853.13772.29731.0814
H61.08082.14902.14903.13773.13774.14674.1467
H73.15042.11323.31811.08142.29734.14672.7978
H83.15043.31812.11322.29731.08144.14672.7978

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 102.458 C1 N3 C5 102.458
N2 C1 N3 116.615 N2 C1 H6 121.692
N2 C4 C5 109.235 N2 C4 H7 122.840
N3 C1 H6 121.692 N3 C5 C4 109.235
N3 C5 H8 122.840 C4 C5 H8 127.925
C5 C4 H7 127.925
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.250      
2 N -0.409      
3 N -0.409      
4 C 0.076      
5 C 0.076      
6 H 0.143      
7 H 0.135      
8 H 0.135      


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 -1.640 1.640
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.948 0.000 0.000
y 0.000 -34.278 0.000
z 0.000 0.000 -22.251
Traceless
 xyz
x -0.683 0.000 0.000
y 0.000 -8.679 0.000
z 0.000 0.000 9.362
Polar
3z2-r218.724
x2-y25.330
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.576 0.000 0.000
y 0.000 5.875 0.000
z 0.000 0.000 7.265


<r2> (average value of r2) Å2
<r2> 76.357
(<r2>)1/2 8.738