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

using model chemistry: B2PLYP/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 B2PLYP/cc-pVTZ
 hartrees
Energy at 0K-225.451330
Energy at 298.15K-225.455795
HF Energy-225.176155
Nuclear repulsion energy153.379138
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 B2PLYP/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 3257 3125 1.12      
2 A1 3247 3115 11.39      
3 A1 1443 1384 12.96      
4 A1 1323 1270 51.98      
5 A1 1171 1124 29.52      
6 A1 1002 962 2.30      
7 A1 919 881 2.66      
8 A2 908 871 0.00      
9 A2 571 548 0.00      
10 B1 894 858 0.23      
11 B1 781 749 22.30      
12 B1 521 500 30.14      
13 B2 3234 3102 0.55      
14 B2 1538 1475 18.35      
15 B2 1302 1249 0.00      
16 B2 1201 1153 6.25      
17 B2 1011 970 73.03      
18 B2 767 736 1.39      

Unscaled Zero Point Vibrational Energy (zpe) 12544.9 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 12035.6 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 B2PLYP/cc-pVTZ
ABC
0.35685 0.30784 0.16527

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.094
N2 0.000 1.164 0.371
N3 0.000 -1.164 0.371
C4 0.000 0.733 -0.873
C5 0.000 -0.733 -0.873
H6 0.000 0.000 2.172
H7 0.000 1.397 -1.723
H8 0.000 -1.397 -1.723

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37011.37012.09952.09951.07803.14463.1446
N21.37012.32771.31692.26852.14432.10723.3083
N31.37012.32772.26851.31692.14433.30832.1072
C42.09951.31692.26851.46583.13231.07872.2934
C52.09952.26851.31691.46583.13232.29341.0787
H61.07802.14432.14433.13233.13234.13824.1382
H73.14462.10723.30831.07872.29344.13822.7945
H83.14463.30832.10722.29341.07874.13822.7945

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 102.747 C1 N3 C5 102.747
N2 C1 N3 116.305 N2 C1 H6 121.847
N2 C4 C5 109.100 N2 C4 H7 122.882
N3 C1 H6 121.847 N3 C5 C4 109.100
N3 C5 H8 122.882 C4 C5 H8 128.018
C5 C4 H7 128.018
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.047      
2 N -0.186      
3 N -0.186      
4 C -0.071      
5 C -0.071      
6 H 0.146      
7 H 0.161      
8 H 0.161      


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 -1.633 1.633
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.434 0.000 0.000
y 0.000 -34.625 0.000
z 0.000 0.000 -22.421
Traceless
 xyz
x -0.911 0.000 0.000
y 0.000 -8.698 0.000
z 0.000 0.000 9.609
Polar
3z2-r219.217
x2-y25.191
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.722 0.000 0.000
y 0.000 6.555 0.000
z 0.000 0.000 7.773


<r2> (average value of r2) Å2
<r2> 76.236
(<r2>)1/2 8.731