return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: B3PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3PW91/6-31G*
 hartrees
Energy at 0K-225.470388
Energy at 298.15K-225.474804
HF Energy-225.470388
Nuclear repulsion energy153.138933
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 B3PW91/6-31G*
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 3265 3124 3.78      
2 A1 3256 3115 15.59      
3 A1 1476 1412 23.11      
4 A1 1329 1271 53.53      
5 A1 1181 1129 27.55      
6 A1 1004 961 2.74      
7 A1 919 879 3.54      
8 A2 880 842 0.00      
9 A2 564 539 0.00      
10 B1 870 832 0.33      
11 B1 756 723 21.02      
12 B1 513 491 29.21      
13 B2 3242 3101 2.17      
14 B2 1553 1485 18.68      
15 B2 1305 1248 0.01      
16 B2 1202 1150 5.75      
17 B2 1033 989 72.97      
18 B2 803 769 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 12573.8 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 12029.3 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 B3PW91/6-31G*
ABC
0.35706 0.30588 0.16475

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.091
N2 0.000 1.167 0.372
N3 0.000 -1.167 0.372
C4 0.000 0.736 -0.873
C5 0.000 -0.736 -0.873
H6 0.000 0.000 2.176
H7 0.000 1.405 -1.727
H8 0.000 -1.405 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37061.37062.09722.09721.08473.14913.1491
N21.37062.33411.31782.27402.14812.11303.3201
N31.37062.33412.27401.31782.14813.32012.1130
C42.09721.31782.27401.47133.13611.08532.3048
C52.09722.27401.31781.47133.13612.30481.0853
H61.08472.14812.14813.13613.13614.14814.1481
H73.14912.11303.32011.08532.30484.14812.8098
H83.14913.32012.11302.30481.08534.14812.8098

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 102.518 C1 N3 C5 102.518
N2 C1 N3 116.747 N2 C1 H6 121.627
N2 C4 C5 109.109 N2 C4 H7 122.819
N3 C1 H6 121.627 N3 C5 C4 109.109
N3 C5 H8 122.819 C4 C5 H8 128.072
C5 C4 H7 128.072
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.184      
2 N -0.402      
3 N -0.402      
4 C 0.014      
5 C 0.014      
6 H 0.201      
7 H 0.195      
8 H 0.195      


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 -1.665 1.665
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.825 0.000 0.000
y 0.000 -33.847 0.000
z 0.000 0.000 -21.924
Traceless
 xyz
x -0.939 0.000 0.000
y 0.000 -8.472 0.000
z 0.000 0.000 9.411
Polar
3z2-r218.823
x2-y25.022
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.588 0.000 0.000
y 0.000 5.894 0.000
z 0.000 0.000 7.222


<r2> (average value of r2) Å2
<r2> 76.049
(<r2>)1/2 8.721