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

using model chemistry: HF/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-224.225022
Energy at 298.15K-224.229680
HF Energy-224.225022
Nuclear repulsion energy154.561823
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/6-31G(2df,p)
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 3399 3078 5.54      
2 A1 3385 3065 13.81      
3 A1 1584 1434 23.57      
4 A1 1395 1263 67.21      
5 A1 1229 1113 24.94      
6 A1 1040 942 0.14      
7 A1 988 895 4.30      
8 A2 938 849 0.00      
9 A2 604 547 0.00      
10 B1 916 830 0.34      
11 B1 839 759 16.03      
12 B1 608 550 34.89      
13 B2 3371 3053 2.21      
14 B2 1641 1486 19.91      
15 B2 1400 1268 0.00      
16 B2 1237 1120 16.47      
17 B2 1115 1010 45.60      
18 B2 890 806 5.91      

Unscaled Zero Point Vibrational Energy (zpe) 13289.6 cm-1
Scaled (by 0.9055) Zero Point Vibrational Energy (zpe) 12033.7 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 HF/6-31G(2df,p)
ABC
0.36174 0.31259 0.16769

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.088
N2 0.000 1.148 0.367
N3 0.000 -1.148 0.367
C4 0.000 0.738 -0.867
C5 0.000 -0.738 -0.867
H6 0.000 0.000 2.160
H7 0.000 1.399 -1.712
H8 0.000 -1.399 -1.712

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.35591.35592.08992.08991.07133.13043.1304
N21.35592.29581.29982.25382.12892.09413.2874
N31.35592.29582.25381.29982.12893.28742.0941
C42.08991.29982.25381.47663.11521.07272.2981
C52.08992.25381.29981.47663.11522.29811.0727
H61.07132.12892.12893.11523.11524.11674.1167
H73.13042.09413.28741.07272.29814.11672.7973
H83.13043.28742.09412.29811.07274.11672.7973

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 103.785 C1 N3 C5 103.785
N2 C1 N3 115.694 N2 C1 H6 122.153
N2 C4 C5 108.369 N2 C4 H7 123.638
N3 C1 H6 122.153 N3 C5 C4 108.369
N3 C5 H8 123.638 C4 C5 H8 127.994
C5 C4 H7 127.994
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.088      
2 N -0.278      
3 N -0.278      
4 C -0.037      
5 C -0.037      
6 H 0.177      
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 -1.957 1.957
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.010 0.000 0.000
y 0.000 -34.105 0.000
z 0.000 0.000 -21.907
Traceless
 xyz
x -1.004 0.000 0.000
y 0.000 -8.647 0.000
z 0.000 0.000 9.651
Polar
3z2-r219.302
x2-y25.096
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.015 0.000 0.000
y 0.000 5.574 0.000
z 0.000 0.000 6.818


<r2> (average value of r2) Å2
<r2> 75.137
(<r2>)1/2 8.668