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

using model chemistry: HSEh1PBE/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 HSEh1PBE/aug-cc-pVTZ
 hartrees
Energy at 0K-225.395879
Energy at 298.15K-225.400354
HF Energy-225.395879
Nuclear repulsion energy153.868722
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 HSEh1PBE/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 3243 3119 0.74      
2 A1 3234 3111 11.28      
3 A1 1467 1411 22.85      
4 A1 1324 1273 54.09      
5 A1 1189 1143 26.13      
6 A1 1002 964 1.39      
7 A1 921 886 2.72      
8 A2 902 868 0.00      
9 A2 566 544 0.00      
10 B1 891 857 0.06      
11 B1 770 740 23.67      
12 B1 520 501 29.12      
13 B2 3221 3098 0.26      
14 B2 1544 1485 23.85      
15 B2 1294 1245 0.00      
16 B2 1193 1147 5.68      
17 B2 1035 995 71.82      
18 B2 804 773 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 12558.8 cm-1
Scaled (by 0.9618) Zero Point Vibrational Energy (zpe) 12079.0 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 HSEh1PBE/aug-cc-pVTZ
ABC
0.35893 0.31005 0.16635

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.090
N2 0.000 1.158 0.370
N3 0.000 -1.158 0.370
C4 0.000 0.733 -0.870
C5 0.000 -0.733 -0.870
H6 0.000 0.000 2.171
H7 0.000 1.400 -1.722
H8 0.000 -1.400 -1.722

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36341.36342.09282.09281.08123.14103.1410
N21.36342.31531.31072.26082.14142.10543.3037
N31.36342.31532.26081.31072.14143.30372.1054
C42.09281.31072.26081.46573.12861.08162.2964
C52.09282.26081.31071.46573.12862.29641.0816
H61.08122.14142.14143.12863.12864.13704.1370
H73.14102.10543.30371.08162.29644.13702.7997
H83.14103.30372.10542.29641.08164.13702.7997

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 102.982 C1 N3 C5 102.982
N2 C1 N3 116.216 N2 C1 H6 121.892
N2 C4 C5 108.910 N2 C4 H7 123.015
N3 C1 H6 121.892 N3 C5 C4 108.910
N3 C5 H8 123.015 C4 C5 H8 128.074
C5 C4 H7 128.074
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.250      
2 N -0.413      
3 N -0.413      
4 C -0.233      
5 C -0.233      
6 H 0.533      
7 H 0.504      
8 H 0.504      


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 -1.712 1.712
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.447 0.000 0.000
y 0.000 -34.703 0.000
z 0.000 0.000 -22.301
Traceless
 xyz
x -0.945 0.000 0.000
y 0.000 -8.829 0.000
z 0.000 0.000 9.774
Polar
3z2-r219.548
x2-y25.256
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.471 0.000 0.000
y 0.000 7.297 0.000
z 0.000 0.000 8.123


<r2> (average value of r2) Å2
<r2> 75.898
(<r2>)1/2 8.712