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

using model chemistry: BLYP/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at BLYP/6-311G**
 hartrees
Energy at 0K-225.542641
Energy at 298.15K-225.546920
HF Energy-225.542641
Nuclear repulsion energy151.660235
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 BLYP/6-311G**
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 3148 3135 3.64      
2 A1 3133 3121 16.56      
3 A1 1367 1361 13.73      
4 A1 1266 1262 43.32      
5 A1 1112 1107 27.83      
6 A1 937 933 2.12      
7 A1 883 880 2.11      
8 A2 847 843 0.00      
9 A2 545 543 0.00      
10 B1 835 832 0.07      
11 B1 711 708 27.27      
12 B1 475 473 23.92      
13 B2 3119 3107 2.67      
14 B2 1458 1452 17.16      
15 B2 1245 1241 0.04      
16 B2 1151 1147 5.61      
17 B2 964 960 73.20      
18 B2 734 731 4.87      

Unscaled Zero Point Vibrational Energy (zpe) 11964.6 cm-1
Scaled (by 0.9961) Zero Point Vibrational Energy (zpe) 11917.9 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 BLYP/6-311G**
ABC
0.35025 0.29972 0.16151

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.104
N2 0.000 1.179 0.374
N3 0.000 -1.179 0.374
C4 0.000 0.743 -0.882
C5 0.000 -0.743 -0.882
H6 0.000 0.000 2.193
H7 0.000 1.416 -1.738
H8 0.000 -1.416 -1.738

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.38701.38702.12062.12061.08823.17583.1758
N21.38702.35861.32962.29642.16732.12563.3465
N31.38702.35862.29641.32962.16733.34652.1256
C42.12061.32962.29641.48623.16291.08922.3230
C52.12062.29641.32961.48623.16292.32301.0892
H61.08822.16732.16733.16293.16294.17804.1780
H73.17582.12563.34651.08922.32304.17802.8325
H83.17583.34652.12562.32301.08924.17802.8325

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 102.611 C1 N3 C5 102.611
N2 C1 N3 116.475 N2 C1 H6 121.762
N2 C4 C5 109.151 N2 C4 H7 122.677
N3 C1 H6 121.762 N3 C5 C4 109.151
N3 C5 H8 122.677 C4 C5 H8 128.172
C5 C4 H7 128.172
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.133      
2 N -0.246      
3 N -0.246      
4 C 0.005      
5 C 0.005      
6 H 0.122      
7 H 0.114      
8 H 0.114      


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 -1.543 1.543
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.284 0.000 0.000
y 0.000 -34.518 0.000
z 0.000 0.000 -22.730
Traceless
 xyz
x -0.660 0.000 0.000
y 0.000 -8.511 0.000
z 0.000 0.000 9.171
Polar
3z2-r218.341
x2-y25.234
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.181 0.000 0.000
y 0.000 6.412 0.000
z 0.000 0.000 7.797


<r2> (average value of r2) Å2
<r2> 77.583
(<r2>)1/2 8.808