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

using model chemistry: B3PW91/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3PW91/6-31G
 hartrees
Energy at 0K-225.378476
Energy at 298.15K-225.382840
HF Energy-225.378476
Nuclear repulsion energy151.392777
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 B3PW91/6-31G
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 3192 1.10      
2 A1 3310 3170 4.58      
3 A1 1406 1347 12.14      
4 A1 1309 1254 53.93      
5 A1 1139 1091 38.08      
6 A1 984 942 7.60      
7 A1 908 870 0.81      
8 A2 891 854 0.00      
9 A2 568 544 0.00      
10 B1 857 821 0.01      
11 B1 769 737 41.06      
12 B1 509 487 33.07      
13 B2 3294 3155 0.90      
14 B2 1491 1428 3.05      
15 B2 1294 1239 0.00      
16 B2 1184 1134 9.87      
17 B2 972 931 58.30      
18 B2 703 673 7.25      

Unscaled Zero Point Vibrational Energy (zpe) 12461.0 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 11933.9 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 B3PW91/6-31G
ABC
0.34489 0.30180 0.16095

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.122
N2 0.000 1.175 0.372
N3 0.000 -1.175 0.372
C4 0.000 0.741 -0.889
C5 0.000 -0.741 -0.889
H6 0.000 0.000 2.199
H7 0.000 1.408 -1.738
H8 0.000 -1.408 -1.738

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.39361.39362.14272.14271.07763.18723.1872
N21.39362.35031.33392.29422.17212.12313.3355
N31.39362.35032.29421.33392.17213.33552.1231
C42.14271.33392.29421.48243.17581.07952.3108
C52.14272.29421.33391.48243.17582.31081.0795
H61.07762.17212.17213.17583.17584.18124.1812
H73.18722.12313.33551.07952.31084.18122.8160
H83.18723.33552.12312.31081.07954.18122.8160

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 103.529 C1 N3 C5 103.529
N2 C1 N3 114.968 N2 C1 H6 122.516
N2 C4 C5 108.987 N2 C4 H7 122.866
N3 C1 H6 122.516 N3 C5 C4 108.987
N3 C5 H8 122.866 C4 C5 H8 128.147
C5 C4 H7 128.147
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.133      
2 N -0.380      
3 N -0.380      
4 C -0.004      
5 C -0.004      
6 H 0.218      
7 H 0.209      
8 H 0.209      


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 -1.811 1.811
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.253 0.000 0.000
y 0.000 -35.458 0.000
z 0.000 0.000 -21.778
Traceless
 xyz
x -0.635 0.000 0.000
y 0.000 -9.943 0.000
z 0.000 0.000 10.578
Polar
3z2-r221.155
x2-y26.205
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.399 0.000 0.000
y 0.000 5.819 0.000
z 0.000 0.000 7.263


<r2> (average value of r2) Å2
<r2> 77.744
(<r2>)1/2 8.817