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

using model chemistry: PBE1PBE/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-225.373071
Energy at 298.15K-225.377546
HF Energy-225.373071
Nuclear repulsion energy153.841982
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/cc-pVTZ
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 3240 3114 0.63      
2 A1 3232 3106 13.36      
3 A1 1473 1415 22.84      
4 A1 1325 1273 53.30      
5 A1 1190 1143 27.40      
6 A1 1004 965 1.61      
7 A1 922 886 3.51      
8 A2 902 867 0.00      
9 A2 567 545 0.00      
10 B1 891 856 0.12      
11 B1 769 739 22.59      
12 B1 519 499 29.01      
13 B2 3218 3093 0.63      
14 B2 1548 1488 21.29      
15 B2 1294 1243 0.01      
16 B2 1194 1147 5.58      
17 B2 1036 996 74.54      
18 B2 806 774 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 12563.5 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 12073.6 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/cc-pVTZ
ABC
0.35937 0.30951 0.16629

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.089
N2 0.000 1.159 0.370
N3 0.000 -1.159 0.370
C4 0.000 0.733 -0.870
C5 0.000 -0.733 -0.870
H6 0.000 0.000 2.170
H7 0.000 1.400 -1.722
H8 0.000 -1.400 -1.722

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36381.36382.09102.09101.08173.14003.1400
N21.36382.31821.31092.26192.14132.10573.3052
N31.36382.31822.26191.31092.14133.30522.1057
C42.09101.31092.26191.46583.12721.08222.2968
C52.09102.26191.31091.46583.12722.29681.0822
H61.08172.14132.14133.12723.12724.13654.1365
H73.14002.10573.30521.08222.29684.13652.7998
H83.14003.30522.10572.29681.08224.13652.7998

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 102.830 C1 N3 C5 102.830
N2 C1 N3 116.395 N2 C1 H6 121.802
N2 C4 C5 108.973 N2 C4 H7 122.977
N3 C1 H6 121.802 N3 C5 C4 108.973
N3 C5 H8 122.977 C4 C5 H8 128.050
C5 C4 H7 128.050
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.075      
2 N -0.194      
3 N -0.194      
4 C -0.049      
5 C -0.049      
6 H 0.126      
7 H 0.142      
8 H 0.142      


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 -1.659 1.659
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.179 0.000 0.000
y 0.000 -34.177 0.000
z 0.000 0.000 -22.179
Traceless
 xyz
x -1.001 0.000 0.000
y 0.000 -8.498 0.000
z 0.000 0.000 9.499
Polar
3z2-r218.998
x2-y24.998
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.723 0.000 0.000
y 0.000 6.521 0.000
z 0.000 0.000 7.700


<r2> (average value of r2) Å2
<r2> 75.726
(<r2>)1/2 8.702