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

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G**
 hartrees
Energy at 0K-225.298911
Energy at 298.15K-225.303363
HF Energy-225.298911
Nuclear repulsion energy153.395503
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 PBE1PBE/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 3280 3127 2.96      
2 A1 3272 3118 13.78      
3 A1 1493 1423 25.52      
4 A1 1336 1274 54.83      
5 A1 1193 1137 27.12      
6 A1 1014 966 2.66      
7 A1 924 881 3.83      
8 A2 886 844 0.00      
9 A2 567 541 0.00      
10 B1 876 835 0.35      
11 B1 763 727 20.81      
12 B1 519 494 30.04      
13 B2 3258 3105 1.52      
14 B2 1566 1493 19.31      
15 B2 1309 1248 0.02      
16 B2 1207 1150 5.83      
17 B2 1046 997 71.76      
18 B2 813 775 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 12659.8 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 12066.1 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 PBE1PBE/6-31G**
ABC
0.35829 0.30691 0.16531

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/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 1.165 0.372
N3 0.000 -1.165 0.372
C4 0.000 0.735 -0.871
C5 0.000 -0.735 -0.871
H6 0.000 0.000 2.173
H7 0.000 1.404 -1.726
H8 0.000 -1.404 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36781.36782.09312.09311.08453.14483.1448
N21.36782.32981.31552.27012.14522.11093.3160
N31.36782.32982.27011.31552.14523.31602.1109
C42.09311.31552.27011.46923.13181.08502.3025
C52.09312.27011.31551.46923.13182.30251.0850
H61.08452.14522.14523.13183.13184.14374.1437
H73.14482.11093.31601.08502.30254.14372.8071
H83.14483.31602.11092.30251.08504.14372.8071

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 102.513 C1 N3 C5 102.513
N2 C1 N3 116.787 N2 C1 H6 121.607
N2 C4 C5 109.094 N2 C4 H7 122.845
N3 C1 H6 121.607 N3 C5 C4 109.094
N3 C5 H8 122.845 C4 C5 H8 128.061
C5 C4 H7 128.061
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.182      
2 N -0.404      
3 N -0.404      
4 C 0.009      
5 C 0.009      
6 H 0.206      
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 -1.680 1.680
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.898 0.000 0.000
y 0.000 -33.900 0.000
z 0.000 0.000 -21.957
Traceless
 xyz
x -0.970 0.000 0.000
y 0.000 -8.472 0.000
z 0.000 0.000 9.442
Polar
3z2-r218.884
x2-y25.001
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.584 0.000 0.000
y 0.000 5.857 0.000
z 0.000 0.000 7.172


<r2> (average value of r2) Å2
<r2> 75.893
(<r2>)1/2 8.712