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: PBEPBE/TZVP

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/TZVP
 hartrees
Energy at 0K-225.359364
Energy at 298.15K-225.363650
HF Energy-225.359364
Nuclear repulsion energy152.327930
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/TZVP
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 3161 3126 1.32      
2 A1 3151 3116 12.42      
3 A1 1394 1378 19.73      
4 A1 1276 1262 46.21      
5 A1 1135 1123 27.46      
6 A1 957 946 1.79      
7 A1 888 878 2.09      
8 A2 827 817 0.00      
9 A2 540 534 0.00      
10 B1 828 819 0.01      
11 B1 706 699 28.83      
12 B1 466 461 22.94      
13 B2 3138 3103 0.87      
14 B2 1475 1459 17.89      
15 B2 1252 1238 0.05      
16 B2 1161 1148 5.20      
17 B2 981 970 75.55      
18 B2 766 757 2.43      

Unscaled Zero Point Vibrational Energy (zpe) 12051.6 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 11916.6 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/TZVP
ABC
0.35307 0.30282 0.16301

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.098
N2 0.000 1.173 0.373
N3 0.000 -1.173 0.373
C4 0.000 0.739 -0.878
C5 0.000 -0.739 -0.878
H6 0.000 0.000 2.188
H7 0.000 1.413 -1.735
H8 0.000 -1.413 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37901.37902.10982.10981.08973.16603.1660
N21.37902.34621.32462.28512.16082.12203.3366
N31.37902.34622.28511.32462.16083.33662.1220
C42.10981.32462.28511.47783.15371.09042.3162
C52.10982.28511.32461.47783.15372.31621.0904
H61.08972.16082.16083.15373.15374.16974.1697
H73.16602.12203.33661.09042.31624.16972.8259
H83.16603.33662.12202.31621.09044.16972.8259

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 102.573 C1 N3 C5 102.573
N2 C1 N3 116.578 N2 C1 H6 121.711
N2 C4 C5 109.138 N2 C4 H7 122.677
N3 C1 H6 121.711 N3 C5 C4 109.138
N3 C5 H8 122.677 C4 C5 H8 128.185
C5 C4 H7 128.185
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.098      
2 N -0.062      
3 N -0.062      
4 C -0.091      
5 C -0.091      
6 H 0.139      
7 H 0.133      
8 H 0.133      


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 -1.625 1.625
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.503 0.000 0.000
y 0.000 -34.906 0.000
z 0.000 0.000 -22.679
Traceless
 xyz
x -0.711 0.000 0.000
y 0.000 -8.815 0.000
z 0.000 0.000 9.526
Polar
3z2-r219.052
x2-y25.403
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.877 0.000 0.000
y 0.000 6.954 0.000
z 0.000 0.000 8.031


<r2> (average value of r2) Å2
<r2> 77.188
(<r2>)1/2 8.786