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

using model chemistry: HF/CEP-121G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at HF/CEP-121G*
 hartrees
Energy at 0K-37.535103
Energy at 298.15K-37.539721
HF Energy-37.535103
Nuclear repulsion energy77.930965
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 HF/CEP-121G*
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 3426 3095 9.14      
2 A1 3408 3078 18.65      
3 A1 1573 1421 23.36      
4 A1 1384 1250 76.29      
5 A1 1217 1099 22.97      
6 A1 1036 936 0.08      
7 A1 977 883 3.86      
8 A2 913 825 0.00      
9 A2 594 536 0.00      
10 B1 892 806 0.05      
11 B1 822 742 30.31      
12 B1 601 543 34.65      
13 B2 3395 3067 2.63      
14 B2 1626 1469 30.41      
15 B2 1395 1260 0.03      
16 B2 1227 1108 20.09      
17 B2 1114 1006 43.93      
18 B2 888 803 4.48      

Unscaled Zero Point Vibrational Energy (zpe) 13243.5 cm-1
Scaled (by 0.9034) Zero Point Vibrational Energy (zpe) 11964.2 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 HF/CEP-121G*
ABC
0.35724 0.30811 0.16543

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-121G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.096
N2 0.000 1.156 0.369
N3 0.000 -1.156 0.369
C4 0.000 0.744 -0.873
C5 0.000 -0.744 -0.873
H6 0.000 0.000 2.169
H7 0.000 1.408 -1.719
H8 0.000 -1.408 -1.719

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36541.36542.10492.10491.07343.14713.1471
N21.36542.31171.30842.27022.13932.10293.3064
N31.36542.31172.27021.30842.13933.30642.1029
C42.10491.30842.27021.48903.13201.07502.3127
C52.10492.27021.30841.48903.13202.31271.0750
H61.07342.13932.13933.13203.13204.13514.1351
H73.14712.10293.30641.07502.31274.13512.8160
H83.14713.30642.10292.31271.07504.13512.8160

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 103.838 C1 N3 C5 103.838
N2 C1 N3 115.674 N2 C1 H6 122.163
N2 C4 C5 108.325 N2 C4 H7 123.559
N3 C1 H6 122.163 N3 C5 C4 108.325
N3 C5 H8 123.559 C4 C5 H8 128.117
C5 C4 H7 128.117
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.155      
2 N -0.099      
3 N -0.099      
4 C -0.157      
5 C -0.157      
6 H 0.213      
7 H 0.226      
8 H 0.226      


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 -2.091 2.091
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.511 0.000 0.000
y 0.000 -35.066 0.000
z 0.000 0.000 -21.951
Traceless
 xyz
x -1.003 0.000 0.000
y 0.000 -9.335 0.000
z 0.000 0.000 10.338
Polar
3z2-r220.676
x2-y25.555
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.430 0.000 0.000
y 0.000 5.695 0.000
z 0.000 0.000 7.017


<r2> (average value of r2) Å2
<r2> 62.649
(<r2>)1/2 7.915