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

using model chemistry: B1B95/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B1B95/6-31G
 hartrees
Energy at 0K-225.372199
Energy at 298.15K-225.376581
HF Energy-225.372199
Nuclear repulsion energy151.923706
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 B1B95/6-31G
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 3352 3196 0.88      
2 A1 3329 3175 3.77      
3 A1 1423 1357 14.30      
4 A1 1319 1258 52.76      
5 A1 1151 1098 37.42      
6 A1 992 946 7.82      
7 A1 911 868 1.27      
8 A2 898 856 0.00      
9 A2 569 543 0.00      
10 B1 868 828 0.02      
11 B1 776 740 40.00      
12 B1 507 484 32.99      
13 B2 3314 3160 0.63      
14 B2 1507 1437 3.25      
15 B2 1301 1241 0.00      
16 B2 1193 1138 9.47      
17 B2 976 931 60.87      
18 B2 710 677 8.69      

Unscaled Zero Point Vibrational Energy (zpe) 12546.8 cm-1
Scaled (by 0.9537) Zero Point Vibrational Energy (zpe) 11965.9 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 B1B95/6-31G
ABC
0.34733 0.30396 0.16210

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.117
N2 0.000 1.171 0.371
N3 0.000 -1.171 0.371
C4 0.000 0.739 -0.886
C5 0.000 -0.739 -0.886
H6 0.000 0.000 2.192
H7 0.000 1.403 -1.733
H8 0.000 -1.403 -1.733

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.38831.38832.13462.13461.07533.17693.1769
N21.38832.34201.32922.28602.16512.11703.3249
N31.38832.34202.28601.32922.16513.32492.1170
C42.13461.32922.28601.47703.16541.07702.3033
C52.13462.28601.32921.47703.16542.30331.0770
H61.07532.16512.16513.16543.16544.16874.1687
H73.17692.11703.32491.07702.30334.16872.8066
H83.17693.32492.11702.30331.07704.16872.8066

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 103.510 C1 N3 C5 103.510
N2 C1 N3 115.008 N2 C1 H6 122.496
N2 C4 C5 108.986 N2 C4 H7 122.899
N3 C1 H6 122.496 N3 C5 C4 108.986
N3 C5 H8 122.899 C4 C5 H8 128.115
C5 C4 H7 128.115
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.134      
2 N -0.376      
3 N -0.376      
4 C -0.002      
5 C -0.002      
6 H 0.215      
7 H 0.204      
8 H 0.204      


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 -1.798 1.798
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.211 0.000 0.000
y 0.000 -35.454 0.000
z 0.000 0.000 -21.840
Traceless
 xyz
x -0.565 0.000 0.000
y 0.000 -9.928 0.000
z 0.000 0.000 10.493
Polar
3z2-r220.986
x2-y26.243
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.383 0.000 0.000
y 0.000 5.760 0.000
z 0.000 0.000 7.211


<r2> (average value of r2) Å2
<r2> 77.333
(<r2>)1/2 8.794