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

using model chemistry: HSEh1PBE/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 HSEh1PBE/3-21G*
 hartrees
Energy at 0K-224.041114
Energy at 298.15K-224.045440
HF Energy-224.041114
Nuclear repulsion energy151.229236
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 HSEh1PBE/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 3324 3190 0.86      
2 A1 3303 3170 2.32      
3 A1 1364 1310 10.24      
4 A1 1298 1246 37.95      
5 A1 1123 1078 51.12      
6 A1 940 903 7.48      
7 A1 895 859 0.15      
8 A2 918 881 0.00      
9 A2 584 561 0.00      
10 B1 865 830 0.03      
11 B1 786 755 51.73      
12 B1 518 498 32.17      
13 B2 3287 3155 1.02      
14 B2 1462 1404 0.54      
15 B2 1285 1234 0.00      
16 B2 1176 1129 8.15      
17 B2 957 919 52.30      
18 B2 610 585 12.62      

Unscaled Zero Point Vibrational Energy (zpe) 12347.7 cm-1
Scaled (by 0.9599) Zero Point Vibrational Energy (zpe) 11852.5 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 HSEh1PBE/3-21G*
ABC
0.34466 0.30041 0.16051

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G*

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 0.370
N3 0.000 -1.177 0.370
C4 0.000 0.745 -0.888
C5 0.000 -0.745 -0.888
H6 0.000 0.000 2.201
H7 0.000 1.404 -1.741
H8 0.000 -1.404 -1.741

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.39841.39842.14632.14631.07633.19163.1916
N21.39842.35441.33002.29752.17692.12353.3349
N31.39842.35442.29751.33002.17693.33492.1235
C42.14631.33002.29751.49063.17781.07812.3128
C52.14632.29751.33001.49063.17782.31281.0781
H61.07632.17692.17693.17783.17784.18514.1851
H73.19162.12353.33491.07812.31284.18512.8086
H83.19163.33492.12352.31281.07814.18512.8086

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 103.720 C1 N3 C5 103.720
N2 C1 N3 114.664 N2 C1 H6 122.668
N2 C4 C5 108.948 N2 C4 H7 123.373
N3 C1 H6 122.668 N3 C5 C4 108.948
N3 C5 H8 123.373 C4 C5 H8 127.679
C5 C4 H7 127.679
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.194      
2 N -0.497      
3 N -0.497      
4 C 0.006      
5 C 0.006      
6 H 0.273      
7 H 0.257      
8 H 0.257      


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 -1.627 1.627
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.670 0.000 0.000
y 0.000 -34.738 0.000
z 0.000 0.000 -21.648
Traceless
 xyz
x -1.477 0.000 0.000
y 0.000 -9.079 0.000
z 0.000 0.000 10.556
Polar
3z2-r221.112
x2-y25.069
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.047 0.000 0.000
y 0.000 5.246 0.000
z 0.000 0.000 6.896


<r2> (average value of r2) Å2
<r2> 77.806
(<r2>)1/2 8.821