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

using model chemistry: wB97X-D/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at wB97X-D/6-31G*
 hartrees
Energy at 0K-225.477691
Energy at 298.15K-225.482143
HF Energy-225.477691
Nuclear repulsion energy 
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 wB97X-D/6-31G*
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 3290 3121 4.99      
2 A1 3277 3108 13.86      
3 A1 1492 1415 23.97      
4 A1 1337 1268 58.32      
5 A1 1192 1131 28.43      
6 A1 1011 959 2.88      
7 A1 926 878 3.78      
8 A2 904 857 0.00      
9 A2 572 542 0.00      
10 B1 875 830 0.97      
11 B1 786 746 20.62      
12 B1 519 493 32.11      
13 B2 3263 3095 1.75      
14 B2 1570 1489 19.87      
15 B2 1307 1239 0.05      
16 B2 1205 1143 6.13      
17 B2 1042 988 73.34      
18 B2 805 763 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 12686.0 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 12032.7 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 wB97X-D/6-31G*
ABC
0.35773 0.30688 0.16518

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.089
N2 0.000 1.164 0.371
N3 0.000 -1.164 0.371
C4 0.000 0.739 -0.871
C5 0.000 -0.739 -0.871
H6 0.000 0.000 2.173
H7 0.000 1.407 -1.726
H8 0.000 -1.407 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36831.36832.09502.09501.08403.14693.1469
N21.36832.32901.31282.27272.14602.11043.3175
N31.36832.32902.27271.31282.14603.31752.1104
C42.09501.31282.27271.47783.13281.08452.3095
C52.09502.27271.31281.47783.13282.30951.0845
H61.08402.14602.14603.13283.13284.14504.1450
H73.14692.11043.31751.08452.30954.14502.8133
H83.14693.31752.11042.30951.08454.14502.8133

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 102.758 C1 N3 C5 102.758
N2 C1 N3 116.650 N2 C1 H6 121.675
N2 C4 C5 108.917 N2 C4 H7 123.080
N3 C1 H6 121.675 N3 C5 C4 108.917
N3 C5 H8 123.080 C4 C5 H8 128.003
C5 C4 H7 128.003
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.180      
2 N -0.402      
3 N -0.402      
4 C 0.007      
5 C 0.007      
6 H 0.207      
7 H 0.201      
8 H 0.201      


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 -1.700 1.700
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.846 0.000 0.000
y 0.000 -33.979 0.000
z 0.000 0.000 -21.771
Traceless
 xyz
x -0.971 0.000 0.000
y 0.000 -8.671 0.000
z 0.000 0.000 9.642
Polar
3z2-r219.283
x2-y25.133
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.573 0.000 0.000
y 0.000 5.812 0.000
z 0.000 0.000 7.199


<r2> (average value of r2) Å2
<r2> 75.899
(<r2>)1/2 8.712