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

using model chemistry: HF/Def2TZVPP

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/Def2TZVPP
 hartrees
Energy at 0K-224.287263
Energy at 298.15K-224.291926
HF Energy-224.287263
Nuclear repulsion energy154.822490
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/Def2TZVPP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3398 3080 4.36      
2 A1 3380 3064 12.22      
3 A1 1578 1431 21.47      
4 A1 1396 1266 72.55      
5 A1 1231 1115 23.88      
6 A1 1040 943 0.06      
7 A1 989 897 3.47      
8 A2 947 858 0.00      
9 A2 603 547 0.00      
10 B1 923 837 0.05      
11 B1 842 763 23.54      
12 B1 607 551 36.14      
13 B2 3368 3052 1.18      
14 B2 1639 1486 23.21      
15 B2 1404 1273 0.01      
16 B2 1237 1121 17.92      
17 B2 1114 1010 46.58      
18 B2 885 802 4.10      

Unscaled Zero Point Vibrational Energy (zpe) 13290.6 cm-1
Scaled (by 0.9064) Zero Point Vibrational Energy (zpe) 12046.6 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/Def2TZVPP
ABC
0.36235 0.31414 0.16826

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.089
N2 0.000 1.144 0.366
N3 0.000 -1.144 0.366
C4 0.000 0.737 -0.867
C5 0.000 -0.737 -0.867
H6 0.000 0.000 2.158
H7 0.000 1.396 -1.710
H8 0.000 -1.396 -1.710

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.35351.35352.09002.09001.06913.12813.1281
N21.35352.28791.29802.24852.12642.09103.2806
N31.35352.28792.24851.29802.12643.28062.0910
C42.09001.29802.24851.47333.11331.07072.2937
C52.09002.24851.29801.47333.11332.29371.0707
H61.06912.12642.12643.11333.11334.11254.1125
H73.12812.09103.28061.07072.29374.11252.7930
H83.12813.28062.09102.29371.07074.11252.7930

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 104.020 C1 N3 C5 104.020
N2 C1 N3 115.387 N2 C1 H6 122.307
N2 C4 C5 108.287 N2 C4 H7 123.668
N3 C1 H6 122.307 N3 C5 C4 108.287
N3 C5 H8 123.668 C4 C5 H8 128.045
C5 C4 H7 128.045
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.267      
2 N -0.391      
3 N -0.391      
4 C 0.094      
5 C 0.094      
6 H 0.101      
7 H 0.112      
8 H 0.112      


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 -2.013 2.013
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.521 0.000 0.000
y 0.000 -34.832 0.000
z 0.000 0.000 -22.182
Traceless
 xyz
x -1.014 0.000 0.000
y 0.000 -8.981 0.000
z 0.000 0.000 9.994
Polar
3z2-r219.989
x2-y25.311
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.931 0.000 0.000
y 0.000 6.166 0.000
z 0.000 0.000 7.231


<r2> (average value of r2) Å2
<r2> 75.260
(<r2>)1/2 8.675