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

using model chemistry: M06-2X/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 M06-2X/6-311G**
 hartrees
Energy at 0K-225.517080
Energy at 298.15K-225.521571
HF Energy-225.517080
Nuclear repulsion energy153.607642
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 M06-2X/6-311G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3250 3250 0.43      
2 A1 3244 3244 7.70      
3 A1 1490 1490 29.90      
4 A1 1331 1331 60.62      
5 A1 1188 1188 34.21      
6 A1 1004 1004 1.74      
7 A1 928 928 4.09      
8 A2 919 919 0.00      
9 A2 574 574 0.00      
10 B1 894 894 0.48      
11 B1 801 801 26.16      
12 B1 530 530 34.87      
13 B2 3235 3235 0.01      
14 B2 1568 1568 24.03      
15 B2 1294 1294 0.00      
16 B2 1200 1200 7.15      
17 B2 1031 1031 77.14      
18 B2 776 776 1.71      

Unscaled Zero Point Vibrational Energy (zpe) 12629.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 12629.1 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 M06-2X/6-311G**
ABC
0.35866 0.30806 0.16572

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.091
N2 0.000 1.161 0.369
N3 0.000 -1.161 0.369
C4 0.000 0.736 -0.870
C5 0.000 -0.736 -0.870
H6 0.000 0.000 2.172
H7 0.000 1.402 -1.723
H8 0.000 -1.402 -1.723

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36721.36722.09502.09501.08083.14383.1438
N21.36722.32241.31072.26622.14412.10583.3088
N31.36722.32242.26621.31072.14413.30882.1058
C42.09501.31072.26621.47173.13001.08182.3018
C52.09502.26621.31071.47173.13002.30181.0818
H61.08082.14412.14413.13003.13004.13924.1392
H73.14382.10583.30881.08182.30184.13922.8048
H83.14383.30882.10582.30181.08184.13922.8048

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 102.929 C1 N3 C5 102.929
N2 C1 N3 116.273 N2 C1 H6 121.864
N2 C4 C5 108.935 N2 C4 H7 123.032
N3 C1 H6 121.864 N3 C5 C4 108.935
N3 C5 H8 123.032 C4 C5 H8 128.033
C5 C4 H7 128.033
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.174      
2 N -0.324      
3 N -0.324      
4 C 0.006      
5 C 0.006      
6 H 0.157      
7 H 0.152      
8 H 0.152      


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 -1.635 1.635
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.401 0.000 0.000
y 0.000 -34.523 0.000
z 0.000 0.000 -22.129
Traceless
 xyz
x -1.075 0.000 0.000
y 0.000 -8.758 0.000
z 0.000 0.000 9.833
Polar
3z2-r219.666
x2-y25.122
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.131 0.000 0.000
y 0.000 6.040 0.000
z 0.000 0.000 7.481


<r2> (average value of r2) Å2
<r2> 76.020
(<r2>)1/2 8.719