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

using model chemistry: mPW1PW91/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at mPW1PW91/TZVP
 hartrees
Energy at 0K-225.571359
Energy at 298.15K-225.575811
HF Energy-225.571359
Nuclear repulsion energy153.804628
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 mPW1PW91/TZVP
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 3259 3109 1.19      
2 A1 3249 3099 10.29      
3 A1 1469 1402 24.48      
4 A1 1329 1267 57.54      
5 A1 1185 1131 29.32      
6 A1 1000 954 1.72      
7 A1 929 887 2.65      
8 A2 871 831 0.00      
9 A2 564 538 0.00      
10 B1 867 828 0.01      
11 B1 766 731 25.30      
12 B1 518 494 29.10      
13 B2 3236 3087 0.25      
14 B2 1550 1478 22.33      
15 B2 1304 1244 0.03      
16 B2 1201 1146 8.39      
17 B2 1031 983 71.85      
18 B2 798 761 0.48      

Unscaled Zero Point Vibrational Energy (zpe) 12563.0 cm-1
Scaled (by 0.954) Zero Point Vibrational Energy (zpe) 11985.1 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 mPW1PW91/TZVP
ABC
0.35899 0.30943 0.16618

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.090
N2 0.000 1.159 0.369
N3 0.000 -1.159 0.369
C4 0.000 0.734 -0.870
C5 0.000 -0.734 -0.870
H6 0.000 0.000 2.171
H7 0.000 1.402 -1.721
H8 0.000 -1.402 -1.721

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36461.36462.09352.09351.08053.14133.1413
N21.36462.31711.31032.26232.14202.10433.3050
N31.36462.31712.26231.31032.14203.30502.1043
C42.09351.31032.26231.46803.12851.08132.2988
C52.09352.26231.31031.46803.12852.29881.0813
H61.08052.14202.14203.12853.12854.13654.1365
H73.14132.10433.30501.08132.29884.13652.8032
H83.14133.30502.10432.29881.08134.13652.8032

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 102.992 C1 N3 C5 102.992
N2 C1 N3 116.202 N2 C1 H6 121.899
N2 C4 C5 108.907 N2 C4 H7 122.965
N3 C1 H6 121.899 N3 C5 C4 108.907
N3 C5 H8 122.965 C4 C5 H8 128.128
C5 C4 H7 128.128
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.059      
2 N -0.103      
3 N -0.103      
4 C -0.070      
5 C -0.070      
6 H 0.137      
7 H 0.134      
8 H 0.134      


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 -1.730 1.730
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.246 0.000 0.000
y 0.000 -34.735 0.000
z 0.000 0.000 -22.222
Traceless
 xyz
x -0.768 0.000 0.000
y 0.000 -9.001 0.000
z 0.000 0.000 9.769
Polar
3z2-r219.538
x2-y25.489
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.763 0.000 0.000
y 0.000 6.561 0.000
z 0.000 0.000 7.652


<r2> (average value of r2) Å2
<r2> 75.899
(<r2>)1/2 8.712