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

using model chemistry: mPW1PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at mPW1PW91/6-311G**
 hartrees
Energy at 0K-225.553956
Energy at 298.15K-225.558424
HF Energy-225.553956
Nuclear repulsion energy153.662060
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 mPW1PW91/6-311G**
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 3255 3114 2.00      
2 A1 3244 3103 13.06      
3 A1 1476 1412 24.45      
4 A1 1326 1268 54.57      
5 A1 1187 1136 27.77      
6 A1 1001 958 1.77      
7 A1 926 886 3.92      
8 A2 896 857 0.00      
9 A2 568 543 0.00      
10 B1 883 844 0.12      
11 B1 770 737 24.86      
12 B1 520 497 30.90      
13 B2 3230 3090 0.73      
14 B2 1551 1484 23.16      
15 B2 1294 1238 0.01      
16 B2 1196 1144 7.63      
17 B2 1035 990 73.52      
18 B2 802 767 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 12578.9 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 12034.2 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 mPW1PW91/6-311G**
ABC
0.35896 0.30834 0.16587

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.089
N2 0.000 1.161 0.370
N3 0.000 -1.161 0.370
C4 0.000 0.735 -0.870
C5 0.000 -0.735 -0.870
H6 0.000 0.000 2.171
H7 0.000 1.403 -1.722
H8 0.000 -1.403 -1.722

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36581.36582.09302.09301.08143.14173.1417
N21.36582.32211.31182.26552.14262.10563.3090
N31.36582.32212.26551.31182.14263.30902.1056
C42.09301.31182.26551.46923.12871.08232.3008
C52.09302.26551.31181.46923.12872.30081.0823
H61.08142.14262.14263.12873.12874.13764.1376
H73.14172.10563.30901.08232.30084.13762.8060
H83.14173.30902.10562.30081.08234.13762.8060

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 102.810 C1 N3 C5 102.810
N2 C1 N3 116.438 N2 C1 H6 121.781
N2 C4 C5 108.971 N2 C4 H7 122.886
N3 C1 H6 121.781 N3 C5 C4 108.971
N3 C5 H8 122.886 C4 C5 H8 128.143
C5 C4 H7 128.143
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.182      
2 N -0.308      
3 N -0.308      
4 C 0.019      
5 C 0.019      
6 H 0.136      
7 H 0.131      
8 H 0.131      


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 -1.674 1.674
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.065 0.000 0.000
y 0.000 -34.235 0.000
z 0.000 0.000 -22.075
Traceless
 xyz
x -0.910 0.000 0.000
y 0.000 -8.664 0.000
z 0.000 0.000 9.575
Polar
3z2-r219.149
x2-y25.169
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.142 0.000 0.000
y 0.000 6.089 0.000
z 0.000 0.000 7.408


<r2> (average value of r2) Å2
<r2> 75.831
(<r2>)1/2 8.708