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: B3PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3PW91/6-31+G**
 hartrees
Energy at 0K-225.483359
Energy at 298.15K-225.487786
HF Energy-225.483359
Nuclear repulsion energy153.101928
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 B3PW91/6-31+G**
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 3262 3132 1.38      
2 A1 3252 3122 10.87      
3 A1 1468 1410 24.60      
4 A1 1322 1270 57.39      
5 A1 1180 1133 25.36      
6 A1 1000 960 1.79      
7 A1 917 880 2.60      
8 A2 877 842 0.00      
9 A2 557 535 0.00      
10 B1 877 842 0.01      
11 B1 758 727 28.06      
12 B1 511 491 30.21      
13 B2 3239 3109 0.42      
14 B2 1544 1482 25.70      
15 B2 1297 1245 0.00      
16 B2 1196 1148 6.34      
17 B2 1034 993 72.27      
18 B2 805 773 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 12547.7 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 12047.1 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 B3PW91/6-31+G**
ABC
0.35590 0.30649 0.16468

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.094
N2 0.000 1.165 0.372
N3 0.000 -1.165 0.372
C4 0.000 0.736 -0.874
C5 0.000 -0.736 -0.874
H6 0.000 0.000 2.178
H7 0.000 1.405 -1.728
H8 0.000 -1.405 -1.728

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37061.37062.10152.10151.08383.15253.1525
N21.37062.33041.31842.27352.14892.11403.3191
N31.37062.33042.27351.31842.14893.31912.1140
C42.10151.31842.27351.47213.13971.08452.3049
C52.10152.27351.31841.47213.13972.30491.0845
H61.08382.14892.14893.13973.13974.15094.1509
H73.15252.11403.31911.08452.30494.15092.8097
H83.15253.31912.11402.30491.08454.15092.8097

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 102.781 C1 N3 C5 102.781
N2 C1 N3 116.449 N2 C1 H6 121.776
N2 C4 C5 108.995 N2 C4 H7 122.931
N3 C1 H6 121.776 N3 C5 C4 108.995
N3 C5 H8 122.931 C4 C5 H8 128.074
C5 C4 H7 128.074
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.001      
2 N -0.232      
3 N -0.232      
4 C -0.029      
5 C -0.029      
6 H 0.172      
7 H 0.174      
8 H 0.174      


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 -1.777 1.777
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.540 0.000 0.000
y 0.000 -35.085 0.000
z 0.000 0.000 -22.198
Traceless
 xyz
x -0.898 0.000 0.000
y 0.000 -9.216 0.000
z 0.000 0.000 10.115
Polar
3z2-r220.229
x2-y25.545
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.962 0.000 0.000
y 0.000 7.038 0.000
z 0.000 0.000 7.856


<r2> (average value of r2) Å2
<r2> 76.542
(<r2>)1/2 8.749