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

using model chemistry: B3PW91/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3PW91/STO-3G
 hartrees
Energy at 0K-222.615176
Energy at 298.15K-222.619009
HF Energy-222.615176
Nuclear repulsion energy148.136047
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 B3PW91/STO-3G
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 3493 3091 11.19      
2 A1 3474 3075 17.34      
3 A1 1479 1309 0.95      
4 A1 1310 1160 36.03      
5 A1 1115 987 24.83      
6 A1 1002 887 26.64      
7 A1 892 789 0.50      
8 A2 866 766 0.00      
9 A2 561 497 0.00      
10 B1 818 724 7.77      
11 B1 724 641 10.36      
12 B1 480 425 17.40      
13 B2 3474 3074 5.27      
14 B2 1568 1388 0.21      
15 B2 1291 1142 0.32      
16 B2 1178 1042 0.78      
17 B2 962 852 23.03      
18 B2 482 426 5.44      

Unscaled Zero Point Vibrational Energy (zpe) 12584.2 cm-1
Scaled (by 0.885) Zero Point Vibrational Energy (zpe) 11137.1 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 B3PW91/STO-3G
ABC
0.33863 0.28233 0.15396

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.128
N2 0.000 1.229 0.377
N3 0.000 -1.229 0.377
C4 0.000 0.748 -0.894
C5 0.000 -0.748 -0.894
H6 0.000 0.000 2.231
H7 0.000 1.407 -1.775
H8 0.000 -1.407 -1.775

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.43981.43982.15582.15581.10383.22623.2262
N21.43982.45761.35932.35042.22442.16023.4033
N31.43982.45762.35041.35932.22443.40332.1602
C42.15581.35932.35041.49603.21381.10052.3284
C52.15582.35041.35931.49603.21382.32841.1005
H61.10382.22442.22443.21383.21384.24684.2468
H73.22622.16023.40331.10052.32844.24682.8142
H83.22623.40332.16022.32841.10054.24682.8142

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 100.696 C1 N3 C5 100.696
N2 C1 N3 117.181 N2 C1 H6 121.409
N2 C4 C5 110.714 N2 C4 H7 122.497
N3 C1 H6 121.409 N3 C5 C4 110.714
N3 C5 H8 122.497 C4 C5 H8 126.789
C5 C4 H7 126.789
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.099      
2 N -0.224      
3 N -0.224      
4 C 0.009      
5 C 0.009      
6 H 0.114      
7 H 0.109      
8 H 0.109      


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 -1.356 1.356
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.532 0.000 0.000
y 0.000 -32.105 0.000
z 0.000 0.000 -21.734
Traceless
 xyz
x 0.387 0.000 0.000
y 0.000 -7.972 0.000
z 0.000 0.000 7.584
Polar
3z2-r215.169
x2-y25.573
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.071 0.000 0.000
y 0.000 3.469 0.000
z 0.000 0.000 5.068


<r2> (average value of r2) Å2
<r2> 79.048
(<r2>)1/2 8.891