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

using model chemistry: wB97X-D/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at wB97X-D/cc-pVDZ
 hartrees
Energy at 0K-225.490517
Energy at 298.15K-225.494991
HF Energy-225.490517
Nuclear repulsion energy153.288942
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 wB97X-D/cc-pVDZ
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 3286 3131 2.27      
2 A1 3271 3116 10.28      
3 A1 1484 1414 25.72      
4 A1 1331 1268 63.49      
5 A1 1192 1136 25.63      
6 A1 1006 959 1.88      
7 A1 924 880 2.79      
8 A2 901 859 0.00      
9 A2 565 538 0.00      
10 B1 880 838 0.41      
11 B1 789 751 27.48      
12 B1 517 492 32.59      
13 B2 3258 3104 0.26      
14 B2 1560 1486 28.52      
15 B2 1297 1235 0.02      
16 B2 1198 1141 6.71      
17 B2 1042 993 71.51      
18 B2 806 767 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 12654.1 cm-1
Scaled (by 0.9526) Zero Point Vibrational Energy (zpe) 12054.3 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 wB97X-D/cc-pVDZ
ABC
0.35622 0.30771 0.16510

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.094
N2 0.000 1.161 0.371
N3 0.000 -1.161 0.371
C4 0.000 0.739 -0.873
C5 0.000 -0.739 -0.873
H6 0.000 0.000 2.178
H7 0.000 1.406 -1.727
H8 0.000 -1.406 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36841.36842.10192.10191.08313.15283.1528
N21.36842.32291.31402.27132.14792.11233.3160
N31.36842.32292.27131.31402.14793.31602.1123
C42.10191.31402.27131.47763.13911.08392.3089
C52.10192.27131.31401.47763.13912.30891.0839
H61.08312.14792.14793.13913.13914.15044.1504
H73.15282.11233.31601.08392.30894.15042.8129
H83.15283.31602.11232.30891.08394.15042.8129

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 103.162 C1 N3 C5 103.162
N2 C1 N3 116.151 N2 C1 H6 121.924
N2 C4 C5 108.762 N2 C4 H7 123.213
N3 C1 H6 121.924 N3 C5 C4 108.762
N3 C5 H8 123.213 C4 C5 H8 128.025
C5 C4 H7 128.025
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.028      
2 N -0.262      
3 N -0.262      
4 C -0.022      
5 C -0.022      
6 H 0.178      
7 H 0.180      
8 H 0.180      


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 -1.817 1.817
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.588 0.000 0.000
y 0.000 -35.242 0.000
z 0.000 0.000 -22.029
Traceless
 xyz
x -0.952 0.000 0.000
y 0.000 -9.434 0.000
z 0.000 0.000 10.386
Polar
3z2-r220.772
x2-y25.654
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.983 0.000 0.000
y 0.000 6.967 0.000
z 0.000 0.000 7.830


<r2> (average value of r2) Å2
<r2> 76.407
(<r2>)1/2 8.741