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

using model chemistry: M06-2X/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 M06-2X/aug-cc-pVDZ
 hartrees
Energy at 0K-225.500810
Energy at 298.15K-225.505311
HF Energy-225.500810
Nuclear repulsion energy153.174951
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 M06-2X/aug-cc-pVDZ
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 3260 3260 1.48      
2 A1 3254 3254 6.72      
3 A1 1492 1492 28.12      
4 A1 1328 1328 59.52      
5 A1 1195 1195 29.41      
6 A1 1009 1009 1.30      
7 A1 922 922 3.17      
8 A2 919 919 0.00      
9 A2 570 570 0.00      
10 B1 904 904 0.49      
11 B1 803 803 24.81      
12 B1 528 528 32.90      
13 B2 3245 3245 0.01      
14 B2 1561 1561 24.26      
15 B2 1288 1288 0.04      
16 B2 1196 1196 4.84      
17 B2 1037 1037 75.04      
18 B2 788 788 0.63      

Unscaled Zero Point Vibrational Energy (zpe) 12648.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 12648.4 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 M06-2X/aug-cc-pVDZ
ABC
0.35588 0.30711 0.16485

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.095
N2 0.000 1.163 0.371
N3 0.000 -1.163 0.371
C4 0.000 0.736 -0.874
C5 0.000 -0.736 -0.874
H6 0.000 0.000 2.181
H7 0.000 1.405 -1.731
H8 0.000 -1.405 -1.731

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37021.37022.10192.10191.08623.15623.1562
N21.37022.32641.31562.27102.15182.11583.3190
N31.37022.32642.27101.31562.15183.31902.1158
C42.10191.31562.27101.47293.14231.08752.3071
C52.10192.27101.31561.47293.14232.30711.0875
H61.08622.15182.15183.14233.14234.15704.1570
H73.15622.11583.31901.08752.30714.15702.8109
H83.15623.31902.11582.30711.08754.15702.8109

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 102.977 C1 N3 C5 102.977
N2 C1 N3 116.191 N2 C1 H6 121.904
N2 C4 C5 108.928 N2 C4 H7 123.110
N3 C1 H6 121.904 N3 C5 C4 108.928
N3 C5 H8 123.110 C4 C5 H8 127.962
C5 C4 H7 127.962
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.558      
2 N -0.327      
3 N -0.327      
4 C 0.494      
5 C 0.494      
6 H -0.231      
7 H -0.330      
8 H -0.330      


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 -1.675 1.675
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.852 0.000 0.000
y 0.000 -34.862 0.000
z 0.000 0.000 -22.172
Traceless
 xyz
x -1.335 0.000 0.000
y 0.000 -8.850 0.000
z 0.000 0.000 10.185
Polar
3z2-r220.370
x2-y25.010
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.493 0.000 0.000
y 0.000 7.206 0.000
z 0.000 0.000 8.261


<r2> (average value of r2) Å2
<r2> 76.520
(<r2>)1/2 8.748