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

using model chemistry: TPSSh/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 TPSSh/cc-pVTZ
 hartrees
Energy at 0K-225.648909
Energy at 298.15K-225.653326
HF Energy-225.648909
Nuclear repulsion energy153.131831
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 TPSSh/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 3219 3117 1.78      
2 A1 3209 3107 16.81      
3 A1 1436 1390 15.10      
4 A1 1310 1268 52.02      
5 A1 1155 1119 29.01      
6 A1 985 954 2.21      
7 A1 904 875 2.67      
8 A2 888 860 0.00      
9 A2 559 541 0.00      
10 B1 873 845 0.17      
11 B1 758 734 22.51      
12 B1 506 489 26.96      
13 B2 3195 3093 1.99      
14 B2 1521 1473 20.75      
15 B2 1290 1249 0.01      
16 B2 1185 1147 6.73      
17 B2 1006 974 71.85      
18 B2 776 751 0.39      

Unscaled Zero Point Vibrational Energy (zpe) 12385.9 cm-1
Scaled (by 0.9683) Zero Point Vibrational Energy (zpe) 11993.3 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 TPSSh/cc-pVTZ
ABC
0.35655 0.30615 0.16472

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.094
N2 0.000 1.167 0.371
N3 0.000 -1.167 0.371
C4 0.000 0.735 -0.874
C5 0.000 -0.735 -0.874
H6 0.000 0.000 2.175
H7 0.000 1.403 -1.725
H8 0.000 -1.403 -1.725

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37211.37212.10032.10031.08153.14883.1488
N21.37212.33331.31782.27332.14812.10983.3168
N31.37212.33332.27331.31782.14813.31682.1098
C42.10031.31782.27331.47063.13631.08232.3020
C52.10032.27331.31781.47063.13632.30201.0823
H61.08152.14812.14813.13633.13634.14504.1450
H73.14882.10983.31681.08232.30204.14502.8070
H83.14883.31682.10982.30201.08234.14502.8070

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 102.653 C1 N3 C5 102.653
N2 C1 N3 116.480 N2 C1 H6 121.760
N2 C4 C5 109.107 N2 C4 H7 122.764
N3 C1 H6 121.760 N3 C5 C4 109.107
N3 C5 H8 122.764 C4 C5 H8 128.128
C5 C4 H7 128.128
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.106      
2 N -0.208      
3 N -0.208      
4 C -0.015      
5 C -0.015      
6 H 0.106      
7 H 0.117      
8 H 0.117      


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 -2.052 2.052
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.729 0.000 0.000
y 0.000 6.661 0.000
z 0.000 0.000 7.820


<r2> (average value of r2) Å2
<r2> 76.250
(<r2>)1/2 8.732