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/Def2TZVPP

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/Def2TZVPP
 hartrees
Energy at 0K-225.373124
Energy at 298.15K-225.377432
HF Energy-225.373124
Nuclear repulsion energy152.468212
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/Def2TZVPP
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 3155 3117 1.34      
2 A1 3146 3108 14.38      
3 A1 1397 1380 19.18      
4 A1 1275 1260 43.51      
5 A1 1139 1125 25.91      
6 A1 960 948 1.62      
7 A1 884 873 2.52      
8 A2 862 852 0.00      
9 A2 543 536 0.00      
10 B1 850 840 0.02      
11 B1 714 706 25.86      
12 B1 472 466 23.57      
13 B2 3133 3095 1.27      
14 B2 1476 1458 18.76      
15 B2 1247 1232 0.00      
16 B2 1157 1143 3.33      
17 B2 986 974 76.78      
18 B2 772 763 0.90      

Unscaled Zero Point Vibrational Energy (zpe) 12083.6 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 11937.4 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/Def2TZVPP
ABC
0.35350 0.30359 0.16333

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.098
N2 0.000 1.168 0.372
N3 0.000 -1.168 0.372
C4 0.000 0.743 -0.877
C5 0.000 -0.743 -0.877
H6 0.000 0.000 2.187
H7 0.000 1.414 -1.735
H8 0.000 -1.414 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37481.37482.10942.10941.08903.16603.1660
N21.37482.33571.31922.28272.15782.12153.3329
N31.37482.33572.28271.31922.15783.33292.1215
C42.10941.31922.28271.48583.15211.08972.3218
C52.10942.28271.31921.48583.15212.32181.0897
H61.08902.15782.15783.15213.15214.16884.1688
H73.16602.12153.33291.08972.32184.16882.8289
H83.16603.33292.12152.32181.08974.16882.8289

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 103.056 C1 N3 C5 103.056
N2 C1 N3 116.308 N2 C1 H6 121.846
N2 C4 C5 108.790 N2 C4 H7 123.166
N3 C1 H6 121.846 N3 C5 C4 108.790
N3 C5 H8 123.166 C4 C5 H8 128.044
C5 C4 H7 128.044
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.080      
2 N -0.195      
3 N -0.195      
4 C -0.039      
5 C -0.039      
6 H 0.127      
7 H 0.131      
8 H 0.131      


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 -1.591 1.591
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.445 0.000 0.000
y 0.000 -34.576 0.000
z 0.000 0.000 -22.651
Traceless
 xyz
x -0.832 0.000 0.000
y 0.000 -8.528 0.000
z 0.000 0.000 9.360
Polar
3z2-r218.720
x2-y25.131
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.116 0.000 0.000
y 0.000 7.128 0.000
z 0.000 0.000 8.165


<r2> (average value of r2) Å2
<r2> 76.992
(<r2>)1/2 8.775