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

using model chemistry: B97D3/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B97D3/cc-pVTZ
 hartrees
Energy at 0K-225.485921
Energy at 298.15K-225.490262
HF Energy-225.485921
Nuclear repulsion energy152.454562
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 B97D3/cc-pVTZ
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 3170 3126 3.01      
2 A1 3158 3114 20.46      
3 A1 1386 1366 15.23      
4 A1 1280 1262 45.79      
5 A1 1131 1115 29.64      
6 A1 955 942 2.01      
7 A1 892 880 1.90      
8 A2 861 849 0.00      
9 A2 551 543 0.00      
10 B1 847 835 0.11      
11 B1 722 712 23.48      
12 B1 491 484 23.78      
13 B2 3144 3100 3.16      
14 B2 1475 1454 18.56      
15 B2 1256 1238 0.00      
16 B2 1161 1144 3.93      
17 B2 981 967 74.47      
18 B2 765 754 2.53      

Unscaled Zero Point Vibrational Energy (zpe) 12112.4 cm-1
Scaled (by 0.986) Zero Point Vibrational Energy (zpe) 11942.8 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 B97D3/cc-pVTZ
ABC
0.35254 0.30410 0.16327

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.102
N2 0.000 1.170 0.372
N3 0.000 -1.170 0.372
C4 0.000 0.738 -0.879
C5 0.000 -0.738 -0.879
H6 0.000 0.000 2.186
H7 0.000 1.408 -1.732
H8 0.000 -1.408 -1.732

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37881.37882.11342.11341.08453.16473.1647
N21.37882.34051.32362.28212.15832.11843.3287
N31.37882.34052.28211.32362.15833.32872.1184
C42.11341.32362.28211.47673.15241.08532.3103
C52.11342.28211.32361.47673.15242.31031.0853
H61.08452.15832.15833.15243.15244.16394.1639
H73.16472.11843.32871.08532.31034.16392.8167
H83.16473.32872.11842.31031.08534.16392.8167

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 103.355 C1 N3 C5 103.355
N2 C1 N3 115.904 N2 C1 H6 122.048
N2 C4 C5 108.693 N2 C4 H7 123.253
N3 C1 H6 122.048 N3 C5 C4 108.693
N3 C5 H8 123.253 C4 C5 H8 128.054
C5 C4 H7 128.054
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.073      
2 N -0.179      
3 N -0.179      
4 C -0.034      
5 C -0.034      
6 H 0.111      
7 H 0.120      
8 H 0.120      


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 -1.568 1.568
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.093 0.000 0.000
y 0.000 -34.242 0.000
z 0.000 0.000 -22.401
Traceless
 xyz
x -0.772 0.000 0.000
y 0.000 -8.495 0.000
z 0.000 0.000 9.267
Polar
3z2-r218.533
x2-y25.149
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.785 0.000 0.000
y 0.000 6.817 0.000
z 0.000 0.000 8.014


<r2> (average value of r2) Å2
<r2> 76.800
(<r2>)1/2 8.764