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

using model chemistry: B2PLYP/6-311G**

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/6-311G**
 hartrees
Energy at 0K-225.391947
Energy at 298.15K-225.396386
HF Energy-225.151314
Nuclear repulsion energy153.047642
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/6-311G**
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 3258 3258 2.12      
2 A1 3246 3246 11.76      
3 A1 1446 1446 14.96      
4 A1 1323 1323 51.24      
5 A1 1168 1168 30.20      
6 A1 999 999 2.49      
7 A1 919 919 3.21      
8 A2 889 889 0.00      
9 A2 568 568 0.00      
10 B1 876 876 0.27      
11 B1 774 774 24.07      
12 B1 517 517 31.23      
13 B2 3233 3233 0.76      
14 B2 1541 1541 19.07      
15 B2 1297 1297 0.03      
16 B2 1201 1201 7.53      
17 B2 1010 1010 70.23      
18 B2 760 760 1.70      

Unscaled Zero Point Vibrational Energy (zpe) 12511.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 12511.2 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 B2PLYP/6-311G**
ABC
0.35609 0.30584 0.16453

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.095
N2 0.000 1.167 0.371
N3 0.000 -1.167 0.371
C4 0.000 0.735 -0.874
C5 0.000 -0.735 -0.874
H6 0.000 0.000 2.175
H7 0.000 1.403 -1.726
H8 0.000 -1.403 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37331.37332.10192.10191.08073.15003.1500
N21.37332.33491.31862.27452.14872.11033.3173
N31.37332.33492.27451.31862.14873.31732.1103
C42.10191.31862.27451.47093.13721.08172.3015
C52.10192.27451.31861.47093.13722.30151.0817
H61.08072.14872.14873.13723.13724.14564.1456
H73.15002.11033.31731.08172.30154.14562.8057
H83.15003.31732.11032.30151.08174.14562.8057

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 102.654 C1 N3 C5 102.654
N2 C1 N3 116.447 N2 C1 H6 121.776
N2 C4 C5 109.122 N2 C4 H7 122.781
N3 C1 H6 121.776 N3 C5 C4 109.122
N3 C5 H8 122.781 C4 C5 H8 128.096
C5 C4 H7 128.096
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.162      
2 N -0.279      
3 N -0.279      
4 C 0.009      
5 C 0.009      
6 H 0.130      
7 H 0.124      
8 H 0.124      


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 -1.620 1.620
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.328 0.000 0.000
y 0.000 -34.627 0.000
z 0.000 0.000 -22.445
Traceless
 xyz
x -0.792 0.000 0.000
y 0.000 -8.740 0.000
z 0.000 0.000 9.533
Polar
3z2-r219.065
x2-y25.299
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.114 0.000 0.000
y 0.000 6.113 0.000
z 0.000 0.000 7.497


<r2> (average value of r2) Å2
<r2> 76.481
(<r2>)1/2 8.745