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

using model chemistry: B3LYPultrafine/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3LYPultrafine/TZVP
 hartrees
Energy at 0K-225.629968
Energy at 298.15K-225.634382
HF Energy-225.629968
Nuclear repulsion energy153.272589
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 B3LYPultrafine/TZVP
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 3239 3120 1.68      
2 A1 3225 3107 10.56      
3 A1 1435 1382 19.64      
4 A1 1317 1269 55.58      
5 A1 1164 1121 29.65      
6 A1 981 945 1.81      
7 A1 923 889 1.97      
8 A2 863 832 0.00      
9 A2 561 541 0.00      
10 B1 860 829 0.01      
11 B1 756 728 25.97      
12 B1 512 493 28.43      
13 B2 3212 3095 0.47      
14 B2 1525 1469 21.04      
15 B2 1298 1251 0.02      
16 B2 1193 1149 8.06      
17 B2 1011 974 74.12      
18 B2 772 744 2.73      

Unscaled Zero Point Vibrational Energy (zpe) 12423.1 cm-1
Scaled (by 0.9634) Zero Point Vibrational Energy (zpe) 11968.4 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 B3LYPultrafine/TZVP
ABC
0.35605 0.30755 0.16501

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.097
N2 0.000 1.162 0.370
N3 0.000 -1.162 0.370
C4 0.000 0.736 -0.874
C5 0.000 -0.736 -0.874
H6 0.000 0.000 2.177
H7 0.000 1.404 -1.725
H8 0.000 -1.404 -1.725

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37051.37052.10372.10371.08033.15123.1512
N21.37052.32431.31492.26992.14822.10873.3125
N31.37052.32432.26991.31492.14823.31252.1087
C42.10371.31492.26991.47283.13851.08132.3032
C52.10372.26991.31491.47283.13852.30321.0813
H61.08032.14822.14823.13853.13854.14644.1464
H73.15122.10873.31251.08132.30324.14642.8079
H83.15123.31252.10872.30321.08134.14642.8079

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 103.118 C1 N3 C5 103.118
N2 C1 N3 115.980 N2 C1 H6 122.010
N2 C4 C5 108.892 N2 C4 H7 122.985
N3 C1 H6 122.010 N3 C5 C4 108.892
N3 C5 H8 122.985 C4 C5 H8 128.123
C5 C4 H7 128.123
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.038      
2 N -0.123      
3 N -0.123      
4 C -0.066      
5 C -0.066      
6 H 0.142      
7 H 0.138      
8 H 0.138      


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 -1.711 1.711
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.488 0.000 0.000
y 0.000 -35.159 0.000
z 0.000 0.000 -22.552
Traceless
 xyz
x -0.632 0.000 0.000
y 0.000 -9.139 0.000
z 0.000 0.000 9.771
Polar
3z2-r219.542
x2-y25.671
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.839 0.000 0.000
y 0.000 6.676 0.000
z 0.000 0.000 7.805


<r2> (average value of r2) Å2
<r2> 76.499
(<r2>)1/2 8.746