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

using model chemistry: B3LYP/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3LYP/cc-pVTZ
 hartrees
Energy at 0K-225.636119
Energy at 298.15K-225.640564
HF Energy-225.636119
Nuclear repulsion energy153.407186
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 B3LYP/cc-pVTZ
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 3228 3120 1.59      
2 A1 3216 3109 13.49      
3 A1 1438 1390 17.81      
4 A1 1315 1272 51.63      
5 A1 1167 1128 28.74      
6 A1 984 951 1.82      
7 A1 919 888 2.56      
8 A2 895 865 0.00      
9 A2 566 547 0.00      
10 B1 884 855 0.14      
11 B1 762 737 22.66      
12 B1 517 500 28.59      
13 B2 3203 3096 1.00      
14 B2 1526 1475 20.14      
15 B2 1294 1251 0.00      
16 B2 1189 1149 5.94      
17 B2 1014 980 76.48      
18 B2 779 753 1.22      

Unscaled Zero Point Vibrational Energy (zpe) 12448.6 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 12032.8 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 B3LYP/cc-pVTZ
ABC
0.35678 0.30804 0.16531

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.095
N2 0.000 1.162 0.370
N3 0.000 -1.162 0.370
C4 0.000 0.735 -0.873
C5 0.000 -0.735 -0.873
H6 0.000 0.000 2.174
H7 0.000 1.401 -1.724
H8 0.000 -1.401 -1.724

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36911.36912.10082.10081.07963.14773.1477
N21.36912.32341.31442.26812.14592.10783.3095
N31.36912.32342.26811.31442.14593.30952.1078
C42.10081.31442.26811.47063.13501.08032.2994
C52.10082.26811.31441.47063.13502.29941.0803
H61.07962.14592.14593.13503.13504.14254.1425
H73.14772.10783.30951.08032.29944.14252.8018
H83.14773.30952.10782.29941.08034.14252.8018

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 103.024 C1 N3 C5 103.024
N2 C1 N3 116.093 N2 C1 H6 121.953
N2 C4 C5 108.929 N2 C4 H7 123.036
N3 C1 H6 121.953 N3 C5 C4 108.929
N3 C5 H8 123.036 C4 C5 H8 128.035
C5 C4 H7 128.035
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.076      
2 N -0.193      
3 N -0.193      
4 C -0.045      
5 C -0.045      
6 H 0.124      
7 H 0.138      
8 H 0.138      


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 -1.641 1.641
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.287 0.000 0.000
y 0.000 -34.521 0.000
z 0.000 0.000 -22.448
Traceless
 xyz
x -0.802 0.000 0.000
y 0.000 -8.653 0.000
z 0.000 0.000 9.456
Polar
3z2-r218.911
x2-y25.234
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.734 0.000 0.000
y 0.000 6.573 0.000
z 0.000 0.000 7.790


<r2> (average value of r2) Å2
<r2> 76.195
(<r2>)1/2 8.729