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

using model chemistry: B3LYP/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 B3LYP/6-31G
 hartrees
Energy at 0K-225.466092
Energy at 298.15K-225.470437
HF Energy-225.466092
Nuclear repulsion energy151.134355
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/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 3321 3195 1.24      
2 A1 3297 3172 4.89      
3 A1 1391 1338 9.75      
4 A1 1305 1255 53.20      
5 A1 1129 1086 37.72      
6 A1 974 937 7.48      
7 A1 906 871 0.50      
8 A2 886 852 0.00      
9 A2 569 547 0.00      
10 B1 852 819 0.02      
11 B1 765 736 35.33      
12 B1 510 490 31.61      
13 B2 3282 3157 1.17      
14 B2 1484 1428 3.04      
15 B2 1295 1246 0.00      
16 B2 1181 1136 8.55      
17 B2 968 931 58.51      
18 B2 681 655 9.41      

Unscaled Zero Point Vibrational Energy (zpe) 12396.7 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 11925.6 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/6-31G
ABC
0.34355 0.30083 0.16039

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.125
N2 0.000 1.177 0.373
N3 0.000 -1.177 0.373
C4 0.000 0.743 -0.891
C5 0.000 -0.743 -0.891
H6 0.000 0.000 2.202
H7 0.000 1.409 -1.740
H8 0.000 -1.409 -1.740

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.39671.39672.14772.14771.07773.19243.1924
N21.39672.35401.33582.29812.17552.12543.3392
N31.39672.35402.29811.33582.17553.33922.1254
C42.14771.33582.29811.48553.18081.07952.3132
C52.14772.29811.33581.48553.18082.31321.0795
H61.07772.17552.17553.18083.18084.18654.1865
H73.19242.12543.33921.07952.31324.18652.8177
H83.19243.33922.12542.31321.07954.18652.8177

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 103.602 C1 N3 C5 103.602
N2 C1 N3 114.855 N2 C1 H6 122.572
N2 C4 C5 108.970 N2 C4 H7 122.926
N3 C1 H6 122.572 N3 C5 C4 108.970
N3 C5 H8 122.926 C4 C5 H8 128.104
C5 C4 H7 128.104
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.144      
2 N -0.361      
3 N -0.361      
4 C 0.019      
5 C 0.019      
6 H 0.188      
7 H 0.176      
8 H 0.176      


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 -1.779 1.779
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.185 0.000 0.000
y 0.000 -35.536 0.000
z 0.000 0.000 -22.081
Traceless
 xyz
x -0.376 0.000 0.000
y 0.000 -9.903 0.000
z 0.000 0.000 10.279
Polar
3z2-r220.559
x2-y26.351
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.375 0.000 0.000
y 0.000 5.811 0.000
z 0.000 0.000 7.301


<r2> (average value of r2) Å2
<r2> 78.012
(<r2>)1/2 8.832