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

using model chemistry: PBEPBE/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at PBEPBE/STO-3G
 hartrees
Energy at 0K-222.424063
Energy at 298.15K-222.427746
HF Energy-222.424063
Nuclear repulsion energy146.808996
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 PBEPBE/STO-3G
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 3402 3108 8.88      
2 A1 3381 3089 11.90      
3 A1 1411 1289 0.00      
4 A1 1264 1154 31.54      
5 A1 1077 984 20.06      
6 A1 969 885 25.31      
7 A1 858 784 0.15      
8 A2 830 758 0.00      
9 A2 539 493 0.00      
10 B1 788 720 6.08      
11 B1 687 628 16.74      
12 B1 434 396 13.55      
13 B2 3383 3091 3.86      
14 B2 1508 1378 0.74      
15 B2 1253 1145 0.37      
16 B2 1143 1044 0.48      
17 B2 925 845 21.25      
18 B2 483 441 8.37      

Unscaled Zero Point Vibrational Energy (zpe) 12166.4 cm-1
Scaled (by 0.9136) Zero Point Vibrational Energy (zpe) 11115.3 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 PBEPBE/STO-3G
ABC
0.33416 0.27621 0.15122

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.132
N2 0.000 1.247 0.383
N3 0.000 -1.247 0.383
C4 0.000 0.750 -0.901
C5 0.000 -0.750 -0.901
H6 0.000 0.000 2.243
H7 0.000 1.413 -1.788
H8 0.000 -1.413 -1.788

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.45451.45452.16682.16681.11123.24363.2436
N21.45452.49321.37662.37332.23952.17663.4329
N31.45452.49322.37331.37662.23953.43292.1766
C42.16681.37662.37331.49923.23231.10742.3375
C52.16682.37331.37661.49923.23232.33751.1074
H61.11122.23952.23953.23233.23234.27134.2713
H73.24362.17663.43291.10742.33754.27132.8267
H83.24363.43292.17662.33751.10744.27132.8267

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 99.844 C1 N3 C5 99.844
N2 C1 N3 117.982 N2 C1 H6 121.009
N2 C4 C5 111.165 N2 C4 H7 122.011
N3 C1 H6 121.009 N3 C5 C4 111.165
N3 C5 H8 122.011 C4 C5 H8 126.824
C5 C4 H7 126.824
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.088      
2 N -0.210      
3 N -0.210      
4 C 0.001      
5 C 0.001      
6 H 0.113      
7 H 0.108      
8 H 0.108      


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 -1.280 1.280
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.597 0.000 0.000
y 0.000 -31.863 0.000
z 0.000 0.000 -21.732
Traceless
 xyz
x 0.201 0.000 0.000
y 0.000 -7.698 0.000
z 0.000 0.000 7.497
Polar
3z2-r214.995
x2-y25.266
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.094 0.000 0.000
y 0.000 3.657 0.000
z 0.000 0.000 5.166


<r2> (average value of r2) Å2
<r2> 80.092
(<r2>)1/2 8.949