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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-225.323955
Energy at 298.15K-225.328376
HF Energy-225.099507
Nuclear repulsion energy152.904844
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 3291 3124 3.44      
2 A1 3280 3113 12.37      
3 A1 1466 1392 15.09      
4 A1 1338 1270 53.50      
5 A1 1175 1116 29.85      
6 A1 1017 965 3.90      
7 A1 922 875 3.06      
8 A2 879 834 0.00      
9 A2 569 540 0.00      
10 B1 871 827 0.69      
11 B1 771 732 18.61      
12 B1 520 494 31.15      
13 B2 3267 3101 1.65      
14 B2 1560 1480 15.76      
15 B2 1318 1251 0.00      
16 B2 1214 1153 6.69      
17 B2 1017 966 69.76      
18 B2 772 733 0.66      

Unscaled Zero Point Vibrational Energy (zpe) 12623.1 cm-1
Scaled (by 0.9492) Zero Point Vibrational Energy (zpe) 11981.8 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
0.35547 0.30535 0.16425

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 2.177
H7 0.000 1.401 -1.728
H8 0.000 -1.401 -1.728

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37451.37452.10222.10221.08233.15163.1516
N21.37452.33921.32162.27642.15022.11383.3202
N31.37452.33922.27641.32162.15023.32022.1138
C42.10221.32162.27641.46853.13921.08302.2996
C52.10222.27641.32161.46853.13922.29961.0830
H61.08232.15022.15023.13923.13924.14914.1491
H73.15162.11383.32021.08302.29964.14912.8024
H83.15163.32022.11382.29961.08304.14912.8024

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 102.453 C1 N3 C5 102.453
N2 C1 N3 116.629 N2 C1 H6 121.685
N2 C4 C5 109.233 N2 C4 H7 122.753
N3 C1 H6 121.685 N3 C5 C4 109.233
N3 C5 H8 122.753 C4 C5 H8 128.014
C5 C4 H7 128.014
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 0.189      
2 N -0.394      
3 N -0.394      
4 C 0.020      
5 C 0.020      
6 H 0.190      
7 H 0.184      
8 H 0.184      


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 -1.651 1.651
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.987 0.000 0.000
y 0.000 -34.267 0.000
z 0.000 0.000 -22.194
Traceless
 xyz
x -0.757 0.000 0.000
y 0.000 -8.676 0.000
z 0.000 0.000 9.434
Polar
3z2-r218.867
x2-y25.279
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.542 0.000 0.000
y 0.000 5.854 0.000
z 0.000 0.000 7.224


<r2> (average value of r2) Å2
<r2> 76.376
(<r2>)1/2 8.739