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

using model chemistry: B3LYP/CEP-121G

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/CEP-121G
 hartrees
Energy at 0K-38.412801
Energy at 298.15K-38.417122
HF Energy-38.412801
Nuclear repulsion energy76.023967
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/CEP-121G
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 3252 3169 1.45      
2 A1 3235 3152 12.30      
3 A1 1365 1330 6.24      
4 A1 1278 1245 62.54      
5 A1 1103 1075 33.25      
6 A1 953 929 5.25      
7 A1 877 855 1.19      
8 A2 848 827 0.00      
9 A2 555 541 0.00      
10 B1 828 807 0.04      
11 B1 760 740 45.46      
12 B1 508 495 28.55      
13 B2 3219 3137 1.47      
14 B2 1452 1415 6.54      
15 B2 1272 1240 0.03      
16 B2 1155 1126 12.99      
17 B2 951 926 56.24      
18 B2 682 665 6.52      

Unscaled Zero Point Vibrational Energy (zpe) 12146.1 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 11836.4 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 B3LYP/CEP-121G
ABC
0.33799 0.29405 0.15725

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.134
N2 0.000 1.190 0.376
N3 0.000 -1.190 0.376
C4 0.000 0.752 -0.899
C5 0.000 -0.752 -0.899
H6 0.000 0.000 2.216
H7 0.000 1.425 -1.748
H8 0.000 -1.425 -1.748

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.41051.41052.16752.16751.08233.21503.2150
N21.41052.38001.34852.32352.19092.13773.3692
N31.41052.38002.32351.34852.19093.36922.1377
C42.16751.34852.32351.50443.20461.08332.3368
C52.16752.32351.34851.50443.20462.33681.0833
H61.08232.19092.19093.20463.20464.21264.2126
H73.21502.13773.36921.08332.33684.21262.8495
H83.21503.36922.13772.33681.08334.21262.8495

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 103.529 C1 N3 C5 103.529
N2 C1 N3 115.054 N2 C1 H6 122.473
N2 C4 C5 108.944 N2 C4 H7 122.683
N3 C1 H6 122.473 N3 C5 C4 108.944
N3 C5 H8 122.683 C4 C5 H8 128.374
C5 C4 H7 128.374
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.227      
2 N 0.039      
3 N 0.039      
4 C -0.207      
5 C -0.207      
6 H 0.190      
7 H 0.187      
8 H 0.187      


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 -1.890 1.890
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.713 0.000 0.000
y 0.000 -36.426 0.000
z 0.000 0.000 -22.153
Traceless
 xyz
x -0.424 0.000 0.000
y 0.000 -10.493 0.000
z 0.000 0.000 10.917
Polar
3z2-r221.833
x2-y26.713
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.353 0.000 0.000
y 0.000 6.321 0.000
z 0.000 0.000 7.876


<r2> (average value of r2) Å2
<r2> 65.177
(<r2>)1/2 8.073