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

using model chemistry: B1B95/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B1B95/cc-pVTZ
 hartrees
Energy at 0K-225.539873
Energy at 298.15K-225.544343
HF Energy-225.539873
Nuclear repulsion energy154.176076
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 B1B95/cc-pVTZ
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 3248 3109 0.59      
2 A1 3241 3102 15.39      
3 A1 1475 1412 22.78      
4 A1 1329 1272 52.19      
5 A1 1194 1143 26.61      
6 A1 1005 962 1.66      
7 A1 919 879 3.68      
8 A2 905 866 0.00      
9 A2 565 541 0.00      
10 B1 897 859 0.14      
11 B1 769 736 22.12      
12 B1 511 489 28.27      
13 B2 3227 3088 0.90      
14 B2 1553 1486 22.18      
15 B2 1298 1242 0.02      
16 B2 1199 1148 4.42      
17 B2 1036 991 79.25      
18 B2 802 767 0.12      

Unscaled Zero Point Vibrational Energy (zpe) 12585.8 cm-1
Scaled (by 0.9571) Zero Point Vibrational Energy (zpe) 12045.9 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 B1B95/cc-pVTZ
ABC
0.36096 0.31082 0.16701

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.086
N2 0.000 1.157 0.369
N3 0.000 -1.157 0.369
C4 0.000 0.731 -0.868
C5 0.000 -0.731 -0.868
H6 0.000 0.000 2.165
H7 0.000 1.396 -1.718
H8 0.000 -1.396 -1.718

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36101.36102.08632.08631.07853.13213.1321
N21.36102.31381.30852.25732.13572.10083.2973
N31.36102.31382.25731.30852.13573.29732.1008
C42.08631.30852.25731.46203.11941.07892.2902
C52.08632.25731.30851.46203.11942.29021.0789
H61.07852.13572.13573.11943.11944.12574.1257
H73.13212.10083.29731.07892.29024.12572.7914
H83.13213.29732.10082.29021.07894.12572.7914

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 102.786 C1 N3 C5 102.786
N2 C1 N3 116.440 N2 C1 H6 121.780
N2 C4 C5 108.994 N2 C4 H7 122.978
N3 C1 H6 121.780 N3 C5 C4 108.994
N3 C5 H8 122.978 C4 C5 H8 128.028
C5 C4 H7 128.028
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.066      
2 N -0.199      
3 N -0.199      
4 C -0.060      
5 C -0.060      
6 H 0.139      
7 H 0.156      
8 H 0.156      


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 -1.626 1.626
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.063 0.000 0.000
y 0.000 -34.065 0.000
z 0.000 0.000 -22.173
Traceless
 xyz
x -0.944 0.000 0.000
y 0.000 -8.447 0.000
z 0.000 0.000 9.391
Polar
3z2-r218.782
x2-y25.002
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.706 0.000 0.000
y 0.000 6.499 0.000
z 0.000 0.000 7.683


<r2> (average value of r2) Å2
<r2> 75.421
(<r2>)1/2 8.685