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

using model chemistry: PBE1PBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at PBE1PBE/6-31+G**
 hartrees
Energy at 0K-225.312242
Energy at 298.15K-225.316692
HF Energy-225.312242
Nuclear repulsion energy153.348671
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 PBE1PBE/6-31+G**
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 3275 3129 1.09      
2 A1 3266 3120 9.34      
3 A1 1486 1419 26.79      
4 A1 1330 1271 59.12      
5 A1 1192 1139 24.79      
6 A1 1009 964 1.72      
7 A1 922 881 2.85      
8 A2 883 843 0.00      
9 A2 560 535 0.00      
10 B1 882 843 0.02      
11 B1 765 730 28.28      
12 B1 517 494 31.08      
13 B2 3252 3107 0.17      
14 B2 1557 1487 26.35      
15 B2 1301 1243 0.00      
16 B2 1201 1147 6.39      
17 B2 1046 1000 71.21      
18 B2 813 777 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 12628.4 cm-1
Scaled (by 0.9553) Zero Point Vibrational Energy (zpe) 12063.9 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 PBE1PBE/6-31+G**
ABC
0.35706 0.30752 0.16522

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.092
N2 0.000 1.163 0.372
N3 0.000 -1.163 0.372
C4 0.000 0.735 -0.873
C5 0.000 -0.735 -0.873
H6 0.000 0.000 2.175
H7 0.000 1.404 -1.727
H8 0.000 -1.404 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36791.36792.09762.09761.08373.14853.1485
N21.36792.32611.31622.26972.14622.11203.3153
N31.36792.32612.26971.31622.14623.31532.1120
C42.09761.31622.26971.46983.13571.08452.3028
C52.09762.26971.31621.46983.13572.30281.0845
H61.08372.14622.14623.13573.13574.14684.1468
H73.14852.11203.31531.08452.30284.14682.8076
H83.14853.31532.11202.30281.08454.14682.8076

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 102.779 C1 N3 C5 102.779
N2 C1 N3 116.477 N2 C1 H6 121.761
N2 C4 C5 108.983 N2 C4 H7 122.936
N3 C1 H6 121.761 N3 C5 C4 108.983
N3 C5 H8 122.936 C4 C5 H8 128.081
C5 C4 H7 128.081
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.000      
2 N -0.237      
3 N -0.237      
4 C -0.034      
5 C -0.034      
6 H 0.178      
7 H 0.182      
8 H 0.182      


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 -1.792 1.792
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.644 0.000 0.000
y 0.000 -35.146 0.000
z 0.000 0.000 -22.239
Traceless
 xyz
x -0.951 0.000 0.000
y 0.000 -9.204 0.000
z 0.000 0.000 10.156
Polar
3z2-r220.311
x2-y25.502
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.968 0.000 0.000
y 0.000 7.003 0.000
z 0.000 0.000 7.822


<r2> (average value of r2) Å2
<r2> 76.402
(<r2>)1/2 8.741