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

using model chemistry: PBE1PBE/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-225.313756
Energy at 298.15K-225.318221
HF Energy-225.313756
Nuclear repulsion energy153.557889
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/6-31G(2df,p)
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 3251 3111 0.13      
2 A1 3245 3106 14.40      
3 A1 1479 1415 24.72      
4 A1 1326 1269 50.40      
5 A1 1190 1139 26.96      
6 A1 1007 964 2.02      
7 A1 921 881 4.05      
8 A2 900 861 0.00      
9 A2 568 544 0.00      
10 B1 889 850 0.44      
11 B1 770 737 16.81      
12 B1 519 497 27.56      
13 B2 3231 3093 0.84      
14 B2 1553 1486 18.38      
15 B2 1293 1237 0.00      
16 B2 1197 1146 4.89      
17 B2 1040 995 72.94      
18 B2 809 775 0.17      

Unscaled Zero Point Vibrational Energy (zpe) 12594.2 cm-1
Scaled (by 0.957) Zero Point Vibrational Energy (zpe) 12052.7 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/6-31G(2df,p)
ABC
0.35878 0.30778 0.16567

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.088
N2 0.000 1.163 0.371
N3 0.000 -1.163 0.371
C4 0.000 0.734 -0.871
C5 0.000 -0.734 -0.871
H6 0.000 0.000 2.172
H7 0.000 1.402 -1.725
H8 0.000 -1.402 -1.725

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36631.36632.09182.09181.08413.14293.1429
N21.36632.32601.31372.26732.14392.10963.3122
N31.36632.32602.26731.31372.14393.31222.1096
C42.09181.31372.26731.46813.13011.08422.3002
C52.09182.26731.31371.46813.13012.30021.0842
H61.08412.14392.14393.13013.13014.14154.1415
H73.14292.10963.31221.08422.30024.14152.8033
H83.14293.31222.10962.30021.08424.14152.8033

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 102.597 C1 N3 C5 102.597
N2 C1 N3 116.692 N2 C1 H6 121.654
N2 C4 C5 109.057 N2 C4 H7 122.937
N3 C1 H6 121.654 N3 C5 C4 109.057
N3 C5 H8 122.937 C4 C5 H8 128.006
C5 C4 H7 128.006
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.089      
2 N -0.252      
3 N -0.252      
4 C -0.040      
5 C -0.040      
6 H 0.168      
7 H 0.164      
8 H 0.164      


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 -1.619 1.619
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.691 0.000 0.000
y 0.000 -33.450 0.000
z 0.000 0.000 -21.916
Traceless
 xyz
x -1.008 0.000 0.000
y 0.000 -8.147 0.000
z 0.000 0.000 9.155
Polar
3z2-r218.310
x2-y24.760
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.069 0.000 0.000
y 0.000 6.055 0.000
z 0.000 0.000 7.326


<r2> (average value of r2) Å2
<r2> 75.628
(<r2>)1/2 8.696