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

using model chemistry: BLYP/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 BLYP/cc-pVTZ
 hartrees
Energy at 0K-225.565859
Energy at 298.15K-225.570158
HF Energy-225.565859
Nuclear repulsion energy152.008694
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/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 3150 3140 2.81      
2 A1 3136 3126 16.29      
3 A1 1368 1364 12.23      
4 A1 1270 1266 44.22      
5 A1 1115 1112 27.94      
6 A1 941 938 1.99      
7 A1 883 881 1.70      
8 A2 855 853 0.00      
9 A2 546 544 0.00      
10 B1 845 843 0.09      
11 B1 715 713 24.54      
12 B1 479 477 23.64      
13 B2 3123 3113 2.34      
14 B2 1461 1456 16.88      
15 B2 1253 1249 0.01      
16 B2 1153 1150 4.67      
17 B2 966 963 74.35      
18 B2 738 736 4.39      

Unscaled Zero Point Vibrational Energy (zpe) 11997.4 cm-1
Scaled (by 0.997) Zero Point Vibrational Energy (zpe) 11961.4 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/cc-pVTZ
ABC
0.35104 0.30181 0.16228

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.104
N2 0.000 1.175 0.373
N3 0.000 -1.175 0.373
C4 0.000 0.741 -0.881
C5 0.000 -0.741 -0.881
H6 0.000 0.000 2.190
H7 0.000 1.411 -1.736
H8 0.000 -1.411 -1.736

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.38361.38362.11822.11821.08583.17103.1710
N21.38362.35041.32732.28982.16322.12263.3374
N31.38362.35042.28981.32732.16323.33742.1226
C42.11821.32732.28981.48133.15841.08682.3154
C52.11822.28981.32731.48133.15842.31541.0868
H61.08582.16322.16323.15843.15844.17154.1715
H73.17102.12263.33741.08682.31544.17152.8220
H83.17103.33742.12262.31541.08684.17152.8220

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 102.748 C1 N3 C5 102.748
N2 C1 N3 116.282 N2 C1 H6 121.859
N2 C4 C5 109.111 N2 C4 H7 122.801
N3 C1 H6 121.859 N3 C5 C4 109.111
N3 C5 H8 122.801 C4 C5 H8 128.088
C5 C4 H7 128.088
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.082      
2 N -0.177      
3 N -0.177      
4 C -0.034      
5 C -0.034      
6 H 0.106      
7 H 0.117      
8 H 0.117      


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 -1.558 1.558
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.410 0.000 0.000
y 0.000 -34.657 0.000
z 0.000 0.000 -22.823
Traceless
 xyz
x -0.670 0.000 0.000
y 0.000 -8.540 0.000
z 0.000 0.000 9.210
Polar
3z2-r218.420
x2-y25.247
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.792 0.000 0.000
y 0.000 6.858 0.000
z 0.000 0.000 8.084


<r2> (average value of r2) Å2
<r2> 77.381
(<r2>)1/2 8.797