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

using model chemistry: PBEPBEultrafine/aug-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 PBEPBEultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-225.368657
Energy at 298.15K-225.372972
HF Energy-225.368657
Nuclear repulsion energy152.444314
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 PBEPBEultrafine/aug-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 3151 3116 1.21      
2 A1 3141 3106 12.93      
3 A1 1393 1377 18.53      
4 A1 1273 1259 43.63      
5 A1 1138 1125 25.02      
6 A1 959 948 1.43      
7 A1 881 872 2.05      
8 A2 858 848 0.00      
9 A2 541 535 0.00      
10 B1 849 839 0.02      
11 B1 714 706 26.57      
12 B1 472 467 23.73      
13 B2 3127 3092 0.84      
14 B2 1473 1456 20.44      
15 B2 1244 1230 0.00      
16 B2 1154 1142 3.42      
17 B2 983 972 74.63      
18 B2 769 761 1.23      

Unscaled Zero Point Vibrational Energy (zpe) 12060.0 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 11924.9 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 PBEPBEultrafine/aug-cc-pVTZ
ABC
0.35313 0.30371 0.16328

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.098
N2 0.000 1.172 0.373
N3 0.000 -1.172 0.373
C4 0.000 0.738 -0.878
C5 0.000 -0.738 -0.878
H6 0.000 0.000 2.187
H7 0.000 1.411 -1.735
H8 0.000 -1.411 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37771.37772.10932.10931.08903.16483.1648
N21.37772.34301.32432.28262.15932.12163.3334
N31.37772.34302.28261.32432.15933.33342.1216
C42.10931.32432.28261.47533.15271.08952.3128
C52.10932.28261.32431.47533.15272.31281.0895
H61.08902.15932.15933.15273.15274.16794.1679
H73.16482.12163.33341.08952.31284.16792.8212
H83.16483.33342.12162.31281.08954.16792.8212

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 102.626 C1 N3 C5 102.626
N2 C1 N3 116.499 N2 C1 H6 121.750
N2 C4 C5 109.124 N2 C4 H7 122.729
N3 C1 H6 121.750 N3 C5 C4 109.124
N3 C5 H8 122.729 C4 C5 H8 128.147
C5 C4 H7 128.147
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.239      
2 N -0.391      
3 N -0.391      
4 C -0.257      
5 C -0.257      
6 H 0.535      
7 H 0.500      
8 H 0.500      


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 -1.623 1.623
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.636 0.000 0.000
y 0.000 -34.943 0.000
z 0.000 0.000 -22.714
Traceless
 xyz
x -0.807 0.000 0.000
y 0.000 -8.768 0.000
z 0.000 0.000 9.575
Polar
3z2-r219.151
x2-y25.307
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.650 0.000 0.000
y 0.000 7.780 0.000
z 0.000 0.000 8.525


<r2> (average value of r2) Å2
<r2> 77.136
(<r2>)1/2 8.783