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

using model chemistry: B1B95/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B1B95/3-21G*
 hartrees
Energy at 0K-224.185589
Energy at 298.15K-224.189897
HF Energy-224.185589
Nuclear repulsion energy151.464178
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 B1B95/3-21G*
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 3333 3183 0.89      
2 A1 3311 3162 2.17      
3 A1 1363 1301 9.39      
4 A1 1300 1241 37.40      
5 A1 1121 1070 49.47      
6 A1 937 894 7.81      
7 A1 891 851 0.05      
8 A2 917 876 0.00      
9 A2 580 554 0.00      
10 B1 871 832 0.13      
11 B1 784 749 52.42      
12 B1 510 487 30.90      
13 B2 3295 3147 1.04      
14 B2 1465 1399 0.55      
15 B2 1286 1228 0.00      
16 B2 1177 1124 7.82      
17 B2 950 908 51.56      
18 B2 599 572 16.72      

Unscaled Zero Point Vibrational Energy (zpe) 12345.5 cm-1
Scaled (by 0.9549) Zero Point Vibrational Energy (zpe) 11788.7 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 B1B95/3-21G*
ABC
0.34595 0.30114 0.16100

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.123
N2 0.000 1.176 0.370
N3 0.000 -1.176 0.370
C4 0.000 0.744 -0.886
C5 0.000 -0.744 -0.886
H6 0.000 0.000 2.197
H7 0.000 1.402 -1.737
H8 0.000 -1.402 -1.737

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.39641.39642.14232.14231.07423.18533.1853
N21.39642.35191.32812.29432.17292.11923.3296
N31.39642.35192.29431.32812.17293.32962.1192
C42.14231.32812.29431.48823.17161.07582.3087
C52.14232.29431.32811.48823.17162.30871.0758
H61.07422.17292.17293.17163.17164.17664.1766
H73.18532.11923.32961.07582.30874.17662.8040
H83.18533.32962.11922.30871.07584.17662.8040

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 103.655 C1 N3 C5 103.655
N2 C1 N3 114.736 N2 C1 H6 122.632
N2 C4 C5 108.977 N2 C4 H7 123.320
N3 C1 H6 122.632 N3 C5 C4 108.977
N3 C5 H8 123.320 C4 C5 H8 127.703
C5 C4 H7 127.703
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.191      
2 N -0.490      
3 N -0.490      
4 C 0.007      
5 C 0.007      
6 H 0.270      
7 H 0.253      
8 H 0.253      


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 -1.602 1.602
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.579 0.000 0.000
y 0.000 -34.631 0.000
z 0.000 0.000 -21.628
Traceless
 xyz
x -1.449 0.000 0.000
y 0.000 -9.028 0.000
z 0.000 0.000 10.477
Polar
3z2-r220.954
x2-y25.053
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.040 0.000 0.000
y 0.000 5.257 0.000
z 0.000 0.000 6.903


<r2> (average value of r2) Å2
<r2> 77.571
(<r2>)1/2 8.807