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

using model chemistry: ROHF/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 ROHF/6-31G
 hartrees
Energy at 0K-224.077922
Energy at 298.15K-224.082542
HF Energy-224.077922
Nuclear repulsion energy152.595870
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 ROHF/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 3505 3138 2.52      
2 A1 3473 3110 1.20      
3 A1 1528 1368 13.59      
4 A1 1362 1220 61.68      
5 A1 1197 1072 30.98      
6 A1 1009 904 0.83      
7 A1 980 878 2.43      
8 A2 914 818 0.00      
9 A2 598 535 0.00      
10 B1 883 791 0.46      
11 B1 822 736 41.45      
12 B1 615 550 46.48      
13 B2 3461 3099 1.11      
14 B2 1576 1411 2.92      
15 B2 1392 1246 0.12      
16 B2 1207 1081 4.20      
17 B2 1110 993 54.54      
18 B2 914 818 4.04      

Unscaled Zero Point Vibrational Energy (zpe) 13272.7 cm-1
Scaled (by 0.8953) Zero Point Vibrational Energy (zpe) 11883.0 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 ROHF/6-31G
ABC
0.34682 0.30885 0.16337

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.124
N2 0.000 1.152 0.368
N3 0.000 -1.152 0.368
C4 0.000 0.748 -0.887
C5 0.000 -0.748 -0.887
H6 0.000 0.000 2.187
H7 0.000 1.409 -1.722
H8 0.000 -1.409 -1.722

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37761.37762.14532.14531.06293.17613.1761
N21.37762.30371.31852.27682.15272.10633.3061
N31.37762.30372.27681.31852.15273.30612.1063
C42.14531.31852.27681.49553.16331.06572.3133
C52.14532.27681.31851.49553.16332.31331.0657
H61.06292.15272.15273.16333.16334.15544.1554
H73.17612.10633.30611.06572.31334.15542.8189
H83.17613.30612.10632.31331.06574.15542.8189

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 105.419 C1 N3 C5 105.419
N2 C1 N3 113.467 N2 C1 H6 123.267
N2 C4 C5 107.847 N2 C4 H7 123.772
N3 C1 H6 123.267 N3 C5 C4 107.847
N3 C5 H8 123.772 C4 C5 H8 128.380
C5 C4 H7 128.380
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at ROHF/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.210      
2 N -0.487      
3 N -0.487      
4 C 0.019      
5 C 0.019      
6 H 0.240      
7 H 0.243      
8 H 0.243      


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 -2.212 2.212
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.696 0.000 0.000
y 0.000 -36.551 0.000
z 0.000 0.000 -22.084
Traceless
 xyz
x -0.378 0.000 0.000
y 0.000 -10.661 0.000
z 0.000 0.000 11.039
Polar
3z2-r222.078
x2-y26.856
xy0.000
xz0.000
yz0.000


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


<r2> (average value of r2) Å2
<r2> 77.278
(<r2>)1/2 8.791