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

using model chemistry: B3LYP/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3LYP/6-311G*
 hartrees
Energy at 0K-225.607014
Energy at 298.15K-225.611427
HF Energy-225.607014
Nuclear repulsion energy153.099223
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 B3LYP/6-311G*
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 3237 3128 4.66      
2 A1 3222 3113 19.21      
3 A1 1443 1394 18.78      
4 A1 1317 1272 54.00      
5 A1 1165 1126 29.38      
6 A1 983 950 1.89      
7 A1 921 890 3.06      
8 A2 877 848 0.00      
9 A2 567 548 0.00      
10 B1 867 838 0.15      
11 B1 752 726 25.68      
12 B1 515 498 28.96      
13 B2 3208 3100 2.33      
14 B2 1531 1479 21.75      
15 B2 1294 1251 0.00      
16 B2 1191 1151 6.85      
17 B2 1015 980 75.96      
18 B2 779 752 1.53      

Unscaled Zero Point Vibrational Energy (zpe) 12439.9 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 12020.7 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 B3LYP/6-311G*
ABC
0.35626 0.30605 0.16463

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.095
N2 0.000 1.165 0.371
N3 0.000 -1.165 0.371
C4 0.000 0.737 -0.874
C5 0.000 -0.737 -0.874
H6 0.000 0.000 2.177
H7 0.000 1.408 -1.725
H8 0.000 -1.408 -1.725

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37191.37192.10242.10241.08223.15163.1516
N21.37192.33071.31642.27382.14952.10953.3189
N31.37192.33072.27381.31642.14953.31892.1095
C42.10241.31642.27381.47483.13891.08332.3082
C52.10242.27381.31641.47483.13892.30821.0833
H61.08222.14952.14953.13893.13894.14804.1480
H73.15162.10953.31891.08332.30824.14802.8168
H83.15163.31892.10952.30821.08334.14802.8168

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 102.878 C1 N3 C5 102.878
N2 C1 N3 116.300 N2 C1 H6 121.850
N2 C4 C5 108.972 N2 C4 H7 122.756
N3 C1 H6 121.850 N3 C5 C4 108.972
N3 C5 H8 122.756 C4 C5 H8 128.273
C5 C4 H7 128.273
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.046      
2 N -0.267      
3 N -0.267      
4 C -0.089      
5 C -0.089      
6 H 0.227      
7 H 0.220      
8 H 0.220      


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 -1.638 1.638
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.288 0.000 0.000
y 0.000 -34.430 0.000
z 0.000 0.000 -22.351
Traceless
 xyz
x -0.898 0.000 0.000
y 0.000 -8.610 0.000
z 0.000 0.000 9.508
Polar
3z2-r219.015
x2-y25.141
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.083 0.000 0.000
y 0.000 6.114 0.000
z 0.000 0.000 7.464


<r2> (average value of r2) Å2
<r2> 76.397
(<r2>)1/2 8.741