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

using model chemistry: M06-2X/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-225.472602
Energy at 298.15K-225.477082
HF Energy-225.472602
Nuclear repulsion energy153.366556
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/6-31+G**
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 3275 3118 0.00      
2 A1 3268 3112 9.83      
3 A1 1499 1428 34.50      
4 A1 1336 1272 67.28      
5 A1 1195 1137 32.78      
6 A1 1012 964 1.89      
7 A1 925 881 2.80      
8 A2 911 867 0.00      
9 A2 567 540 0.00      
10 B1 899 856 0.27      
11 B1 799 761 27.28      
12 B1 529 504 34.45      
13 B2 3258 3102 0.00      
14 B2 1573 1498 27.57      
15 B2 1299 1236 0.01      
16 B2 1204 1146 5.90      
17 B2 1038 989 75.28      
18 B2 789 751 1.34      

Unscaled Zero Point Vibrational Energy (zpe) 12687.7 cm-1
Scaled (by 0.9522) Zero Point Vibrational Energy (zpe) 12081.2 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/6-31+G**
ABC
0.35696 0.30763 0.16523

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.093
N2 0.000 1.162 0.371
N3 0.000 -1.162 0.371
C4 0.000 0.736 -0.873
C5 0.000 -0.736 -0.873
H6 0.000 0.000 2.176
H7 0.000 1.402 -1.726
H8 0.000 -1.402 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36881.36882.09932.09931.08213.14933.1493
N21.36882.32481.31442.26912.14682.11073.3129
N31.36882.32482.26911.31442.14683.31292.1107
C42.09931.31442.26911.47173.13581.08312.3023
C52.09932.26911.31441.47173.13582.30231.0831
H61.08212.14682.14683.13583.13584.14634.1463
H73.14932.11073.31291.08312.30234.14632.8048
H83.14933.31292.11072.30231.08314.14632.8048

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 102.941 C1 N3 C5 102.941
N2 C1 N3 116.247 N2 C1 H6 121.877
N2 C4 C5 108.936 N2 C4 H7 123.082
N3 C1 H6 121.877 N3 C5 C4 108.936
N3 C5 H8 123.082 C4 C5 H8 127.982
C5 C4 H7 127.982
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.043      
2 N -0.266      
3 N -0.266      
4 C -0.028      
5 C -0.028      
6 H 0.181      
7 H 0.182      
8 H 0.182      


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 -1.738 1.738
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.823 0.000 0.000
y 0.000 -35.318 0.000
z 0.000 0.000 -22.233
Traceless
 xyz
x -1.048 0.000 0.000
y 0.000 -9.289 0.000
z 0.000 0.000 10.337
Polar
3z2-r220.675
x2-y25.494
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.954 0.000 0.000
y 0.000 6.928 0.000
z 0.000 0.000 7.983


<r2> (average value of r2) Å2
<r2> 76.467
(<r2>)1/2 8.745