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

using model chemistry: B1B95/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B1B95/aug-cc-pVDZ
 hartrees
Energy at 0K-225.498273
Energy at 298.15K-225.502737
HF Energy-225.498273
Nuclear repulsion energy153.496295
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 B1B95/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3261 3124 0.32      
2 A1 3254 3117 12.86      
3 A1 1480 1418 23.36      
4 A1 1324 1268 51.75      
5 A1 1195 1145 22.93      
6 A1 1007 964 1.31      
7 A1 915 877 3.36      
8 A2 890 853 0.00      
9 A2 559 535 0.00      
10 B1 896 858 0.07      
11 B1 765 732 23.91      
12 B1 512 490 28.76      
13 B2 3240 3104 0.37      
14 B2 1548 1483 24.30      
15 B2 1290 1236 0.03      
16 B2 1194 1143 3.76      
17 B2 1044 1000 75.67      
18 B2 807 773 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 12590.6 cm-1
Scaled (by 0.9579) Zero Point Vibrational Energy (zpe) 12060.6 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 B1B95/aug-cc-pVDZ
ABC
0.35772 0.30827 0.16558

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.090
N2 0.000 1.162 0.372
N3 0.000 -1.162 0.372
C4 0.000 0.733 -0.872
C5 0.000 -0.733 -0.872
H6 0.000 0.000 2.176
H7 0.000 1.403 -1.728
H8 0.000 -1.403 -1.728

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36611.36612.09432.09431.08583.14773.1477
N21.36612.32381.31512.26672.14602.11313.3144
N31.36612.32382.26671.31512.14603.31442.1131
C42.09431.31512.26671.46683.13451.08682.3014
C52.09432.26671.31511.46683.13452.30141.0868
H61.08582.14602.14603.13453.13454.14804.1480
H73.14772.11313.31441.08682.30144.14802.8058
H83.14773.31442.11312.30141.08684.14802.8058

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 102.710 C1 N3 C5 102.710
N2 C1 N3 116.544 N2 C1 H6 121.728
N2 C4 C5 109.018 N2 C4 H7 122.952
N3 C1 H6 121.728 N3 C5 C4 109.018
N3 C5 H8 122.952 C4 C5 H8 128.030
C5 C4 H7 128.030
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.602      
2 N -0.400      
3 N -0.400      
4 C 0.505      
5 C 0.505      
6 H -0.195      
7 H -0.309      
8 H -0.309      


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 -1.696 1.696
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.496 0.000 0.000
y 0.000 -34.666 0.000
z 0.000 0.000 -22.288
Traceless
 xyz
x -1.019 0.000 0.000
y 0.000 -8.774 0.000
z 0.000 0.000 9.793
Polar
3z2-r219.585
x2-y25.170
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.459 0.000 0.000
y 0.000 7.300 0.000
z 0.000 0.000 8.169


<r2> (average value of r2) Å2
<r2> 76.174
(<r2>)1/2 8.728