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

using model chemistry: ROHF/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at ROHF/3-21G*
 hartrees
Energy at 0K-222.914401
Energy at 298.15K-222.918978
HF Energy-222.914401
Nuclear repulsion energy152.116164
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 ROHF/3-21G*
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 3486 3167 3.17      
2 A1 3457 3140 1.06      
3 A1 1464 1330 6.99      
4 A1 1332 1210 50.05      
5 A1 1167 1060 46.73      
6 A1 958 870 0.62      
7 A1 932 846 0.94      
8 A2 936 851 0.00      
9 A2 608 552 0.00      
10 B1 893 812 0.72      
11 B1 835 758 48.03      
12 B1 616 560 44.25      
13 B2 3444 3129 2.42      
14 B2 1531 1390 1.16      
15 B2 1376 1250 0.00      
16 B2 1185 1076 2.34      
17 B2 1039 944 59.87      
18 B2 842 765 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 13049.3 cm-1
Scaled (by 0.9085) Zero Point Vibrational Energy (zpe) 11855.3 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 ROHF/3-21G*
ABC
0.34585 0.30535 0.16217

See section I.F.4 to change rotational constant units
Geometric Data calculated at ROHF/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.129
N2 0.000 1.157 0.366
N3 0.000 -1.157 0.366
C4 0.000 0.755 -0.887
C5 0.000 -0.755 -0.887
H6 0.000 0.000 2.191
H7 0.000 1.410 -1.726
H8 0.000 -1.410 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.38601.38602.15262.15261.06183.18433.1843
N21.38602.31451.31592.28652.16052.10773.3120
N31.38602.31452.28651.31592.16053.31202.1077
C42.15261.31592.28651.51073.16891.06452.3224
C52.15262.28651.31591.51073.16892.32241.0645
H61.06182.16052.16053.16893.16894.16304.1630
H73.18432.10773.31201.06452.32244.16302.8200
H83.18433.31202.10772.32241.06454.16302.8200

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 105.601 C1 N3 C5 105.601
N2 C1 N3 113.230 N2 C1 H6 123.385
N2 C4 C5 107.784 N2 C4 H7 124.267
N3 C1 H6 123.385 N3 C5 C4 107.784
N3 C5 H8 124.267 C4 C5 H8 127.949
C5 C4 H7 127.949
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at ROHF/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.268      
2 N -0.590      
3 N -0.590      
4 C 0.039      
5 C 0.039      
6 H 0.281      
7 H 0.276      
8 H 0.276      


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 -1.990 1.990
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.938 0.000 0.000
y 0.000 -35.697 0.000
z 0.000 0.000 -21.970
Traceless
 xyz
x -1.104 0.000 0.000
y 0.000 -9.743 0.000
z 0.000 0.000 10.848
Polar
3z2-r221.695
x2-y25.759
xy0.000
xz0.000
yz0.000


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


<r2> (average value of r2) Å2
<r2> 77.531
(<r2>)1/2 8.805