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

using model chemistry: HSEh1PBE/TZVP

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/TZVP
 hartrees
Energy at 0K-225.385787
Energy at 298.15K-225.390234
HF Energy-225.385787
Nuclear repulsion energy153.764064
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/TZVP
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 3255 3125 1.34      
2 A1 3243 3114 10.10      
3 A1 1468 1410 25.22      
4 A1 1326 1273 57.34      
5 A1 1185 1138 28.87      
6 A1 999 959 1.71      
7 A1 928 891 2.71      
8 A2 868 833 0.00      
9 A2 563 541 0.00      
10 B1 866 831 0.00      
11 B1 762 732 25.71      
12 B1 516 496 28.98      
13 B2 3230 3101 0.24      
14 B2 1547 1485 22.26      
15 B2 1301 1249 0.03      
16 B2 1199 1151 7.99      
17 B2 1031 990 72.73      
18 B2 800 768 0.40      

Unscaled Zero Point Vibrational Energy (zpe) 12544.0 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 12043.5 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/TZVP
ABC
0.35873 0.30935 0.16611

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.091
N2 0.000 1.159 0.370
N3 0.000 -1.159 0.370
C4 0.000 0.734 -0.870
C5 0.000 -0.734 -0.870
H6 0.000 0.000 2.172
H7 0.000 1.403 -1.722
H8 0.000 -1.403 -1.722

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36471.36472.09402.09401.08173.14283.1428
N21.36472.31731.31072.26272.14302.10553.3066
N31.36472.31732.26271.31072.14303.30662.1055
C42.09401.31072.26271.46803.13011.08252.2999
C52.09402.26271.31071.46803.13012.29991.0825
H61.08172.14302.14303.13013.13014.13904.1390
H73.14282.10553.30661.08252.29994.13902.8050
H83.14283.30662.10552.29991.08254.13902.8050

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 102.993 C1 N3 C5 102.993
N2 C1 N3 116.205 N2 C1 H6 121.897
N2 C4 C5 108.904 N2 C4 H7 122.956
N3 C1 H6 121.897 N3 C5 C4 108.904
N3 C5 H8 122.956 C4 C5 H8 128.139
C5 C4 H7 128.139
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.072      
2 N -0.097      
3 N -0.097      
4 C -0.079      
5 C -0.079      
6 H 0.144      
7 H 0.141      
8 H 0.141      


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 -1.729 1.729
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.345 0.000 0.000
y 0.000 -34.824 0.000
z 0.000 0.000 -22.296
Traceless
 xyz
x -0.785 0.000 0.000
y 0.000 -9.004 0.000
z 0.000 0.000 9.789
Polar
3z2-r219.578
x2-y25.479
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.786 0.000 0.000
y 0.000 6.595 0.000
z 0.000 0.000 7.693


<r2> (average value of r2) Å2
<r2> 75.986
(<r2>)1/2 8.717