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

using model chemistry: HF/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 HF/cc-pVDZ
 hartrees
Energy at 0K-224.222393
Energy at 298.15K-224.227050
HF Energy-224.222393
Nuclear repulsion energy154.114639
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 HF/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 3415 3100 5.37      
2 A1 3397 3084 9.95      
3 A1 1598 1451 28.41      
4 A1 1388 1260 66.11      
5 A1 1233 1119 22.68      
6 A1 1040 944 0.25      
7 A1 988 898 5.19      
8 A2 927 842 0.00      
9 A2 602 546 0.00      
10 B1 907 823 0.17      
11 B1 828 752 21.12      
12 B1 605 549 36.38      
13 B2 3383 3072 1.49      
14 B2 1641 1490 24.79      
15 B2 1385 1258 0.00      
16 B2 1231 1118 16.11      
17 B2 1127 1023 45.52      
18 B2 901 818 6.91      

Unscaled Zero Point Vibrational Energy (zpe) 13296.7 cm-1
Scaled (by 0.908) Zero Point Vibrational Energy (zpe) 12073.4 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 HF/cc-pVDZ
ABC
0.35983 0.31078 0.16676

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.091
N2 0.000 1.151 0.368
N3 0.000 -1.151 0.368
C4 0.000 0.740 -0.869
C5 0.000 -0.740 -0.869
H6 0.000 0.000 2.169
H7 0.000 1.407 -1.719
H8 0.000 -1.407 -1.719

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.35921.35922.09452.09451.07823.14173.1417
N21.35922.30231.30322.25962.13742.10213.3008
N31.35922.30232.25961.30322.13743.30082.1021
C42.09451.30322.25961.48003.12651.08012.3087
C52.09452.25961.30321.48003.12652.30871.0801
H61.07822.13742.13743.12653.12654.13414.1341
H73.14172.10213.30081.08012.30874.13412.8131
H83.14173.30082.10212.30871.08014.13412.8131

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 103.731 C1 N3 C5 103.731
N2 C1 N3 115.756 N2 C1 H6 122.122
N2 C4 C5 108.390 N2 C4 H7 123.504
N3 C1 H6 122.122 N3 C5 C4 108.390
N3 C5 H8 123.504 C4 C5 H8 128.106
C5 C4 H7 128.106
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.265      
2 N -0.318      
3 N -0.318      
4 C 0.104      
5 C 0.104      
6 H 0.055      
7 H 0.054      
8 H 0.054      


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 -1.940 1.940
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.313 0.000 0.000
y 0.000 -34.445 0.000
z 0.000 0.000 -22.227
Traceless
 xyz
x -0.977 0.000 0.000
y 0.000 -8.675 0.000
z 0.000 0.000 9.652
Polar
3z2-r219.304
x2-y25.132
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.829 0.000 0.000
y 0.000 5.389 0.000
z 0.000 0.000 6.833


<r2> (average value of r2) Å2
<r2> 75.682
(<r2>)1/2 8.700