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return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
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All results from a given calculation for (imidazolyl radical)

using model chemistry: PBEPBE/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at PBEPBE/6-311G*
 hartrees
Energy at 0K-225.336590
Energy at 298.15K-225.340877
HF Energy-225.336590
Nuclear repulsion energy152.203197
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 PBEPBE/6-311G*
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 3159 3126 4.35      
2 A1 3148 3115 21.88      
3 A1 1403 1389 18.61      
4 A1 1278 1265 45.54      
5 A1 1137 1125 26.65      
6 A1 960 950 1.84      
7 A1 886 877 3.24      
8 A2 841 832 0.00      
9 A2 545 539 0.00      
10 B1 835 826 0.04      
11 B1 702 695 29.21      
12 B1 469 464 23.08      
13 B2 3133 3101 3.13      
14 B2 1482 1467 19.35      
15 B2 1250 1237 0.01      
16 B2 1160 1148 4.35      
17 B2 986 976 77.06      
18 B2 772 764 1.12      

Unscaled Zero Point Vibrational Energy (zpe) 12073.2 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 11947.7 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 PBEPBE/6-311G*
ABC
0.35352 0.30154 0.16273

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.096
N2 0.000 1.176 0.374
N3 0.000 -1.176 0.374
C4 0.000 0.739 -0.878
C5 0.000 -0.739 -0.878
H6 0.000 0.000 2.187
H7 0.000 1.417 -1.734
H8 0.000 -1.417 -1.734

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.38001.38002.10772.10771.09143.16523.1652
N21.38002.35221.32582.28822.16132.12203.3421
N31.38002.35222.28821.32582.16133.34212.1220
C42.10771.32582.28821.47883.15311.09222.3204
C52.10772.28821.32581.47883.15312.32041.0922
H61.09142.16132.16133.15313.15314.16984.1698
H73.16522.12203.34211.09222.32044.16982.8344
H83.16523.34212.12202.32041.09224.16982.8344

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 102.313 C1 N3 C5 102.313
N2 C1 N3 116.911 N2 C1 H6 121.544
N2 C4 C5 109.231 N2 C4 H7 122.408
N3 C1 H6 121.544 N3 C5 C4 109.231
N3 C5 H8 122.408 C4 C5 H8 128.361
C5 C4 H7 128.361
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.038      
2 N -0.253      
3 N -0.253      
4 C -0.093      
5 C -0.093      
6 H 0.223      
7 H 0.215      
8 H 0.215      


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 -1.557 1.557
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.326 0.000 0.000
y 0.000 -34.197 0.000
z 0.000 0.000 -22.482
Traceless
 xyz
x -0.987 0.000 0.000
y 0.000 -8.292 0.000
z 0.000 0.000 9.279
Polar
3z2-r218.559
x2-y24.870
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.134 0.000 0.000
y 0.000 6.368 0.000
z 0.000 0.000 7.677


<r2> (average value of r2) Å2
<r2> 77.059
(<r2>)1/2 8.778