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

using model chemistry: B3LYP/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 B3LYP/6-31G**
 hartrees
Energy at 0K-225.561435
Energy at 298.15K-225.565852
HF Energy-225.561435
Nuclear repulsion energy152.838105
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/6-31G**
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 3247 3120 2.78      
2 A1 3238 3111 14.18      
3 A1 1457 1400 20.53      
4 A1 1322 1270 50.95      
5 A1 1168 1122 28.55      
6 A1 993 954 2.97      
7 A1 918 882 2.94      
8 A2 880 845 0.00      
9 A2 565 542 0.00      
10 B1 870 836 0.44      
11 B1 757 728 17.32      
12 B1 514 494 28.07      
13 B2 3224 3098 2.22      
14 B2 1541 1480 17.99      
15 B2 1302 1251 0.01      
16 B2 1196 1149 5.51      
17 B2 1019 979 73.79      
18 B2 787 756 0.47      

Unscaled Zero Point Vibrational Energy (zpe) 12498.4 cm-1
Scaled (by 0.9608) Zero Point Vibrational Energy (zpe) 12008.5 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/6-31G**
ABC
0.35521 0.30493 0.16408

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.095
N2 0.000 1.169 0.372
N3 0.000 -1.169 0.372
C4 0.000 0.737 -0.875
C5 0.000 -0.737 -0.875
H6 0.000 0.000 2.179
H7 0.000 1.404 -1.730
H8 0.000 -1.404 -1.730

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37431.37432.10392.10391.08383.15523.1552
N21.37432.33781.32022.27812.15182.11573.3229
N31.37432.33782.27811.32022.15183.32292.1157
C42.10391.32022.27811.47453.14201.08442.3058
C52.10392.27811.32021.47453.14202.30581.0844
H61.08382.15182.15183.14203.14204.15384.1538
H73.15522.11573.32291.08442.30584.15382.8084
H83.15523.32292.11572.30581.08444.15382.8084

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 102.649 C1 N3 C5 102.649
N2 C1 N3 116.533 N2 C1 H6 121.733
N2 C4 C5 109.084 N2 C4 H7 122.959
N3 C1 H6 121.733 N3 C5 C4 109.084
N3 C5 H8 122.959 C4 C5 H8 127.956
C5 C4 H7 127.956
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.256      
2 N -0.406      
3 N -0.406      
4 C 0.092      
5 C 0.092      
6 H 0.130      
7 H 0.121      
8 H 0.121      


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 -1.631 1.631
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.767 0.000 0.000
y 0.000 -33.986 0.000
z 0.000 0.000 -22.217
Traceless
 xyz
x -0.666 0.000 0.000
y 0.000 -8.494 0.000
z 0.000 0.000 9.159
Polar
3z2-r218.319
x2-y25.219
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.601 0.000 0.000
y 0.000 5.909 0.000
z 0.000 0.000 7.305


<r2> (average value of r2) Å2
<r2> 76.351
(<r2>)1/2 8.738