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: BLYP/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at BLYP/3-21G*
 hartrees
Energy at 0K-224.212846
Energy at 298.15K-224.216909
HF Energy-224.212846
Nuclear repulsion energy149.211359
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 BLYP/3-21G*
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 3210 3189 1.81      
2 A1 3188 3168 6.55      
3 A1 1275 1267 0.38      
4 A1 1236 1228 33.20      
5 A1 1057 1050 43.08      
6 A1 883 877 4.93      
7 A1 834 829 0.92      
8 A2 859 854 0.00      
9 A2 556 553 0.00      
10 B1 814 809 0.17      
11 B1 720 715 50.38      
12 B1 454 451 18.81      
13 B2 3173 3152 3.56      
14 B2 1386 1377 0.22      
15 B2 1242 1234 0.00      
16 B2 1126 1119 4.87      
17 B2 906 900 43.55      
18 B2 512 509 21.39      

Unscaled Zero Point Vibrational Energy (zpe) 11715.2 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 11639.1 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 BLYP/3-21G*
ABC
0.33747 0.29071 0.15617

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.136
N2 0.000 1.200 0.375
N3 0.000 -1.200 0.375
C4 0.000 0.753 -0.898
C5 0.000 -0.753 -0.898
H6 0.000 0.000 2.220
H7 0.000 1.415 -1.758
H8 0.000 -1.415 -1.758

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.42121.42122.16892.16891.08423.22203.2220
N21.42122.40051.34922.33142.20132.14433.3752
N31.42122.40052.33141.34922.20133.37522.1443
C42.16891.34922.33141.50593.20781.08582.3326
C52.16892.33141.34921.50593.20782.33261.0858
H61.08422.20132.20133.20783.20784.22294.2229
H73.22202.14433.37521.08582.33264.22292.8302
H83.22203.37522.14432.33261.08584.22292.8302

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 103.020 C1 N3 C5 103.020
N2 C1 N3 115.239 N2 C1 H6 122.380
N2 C4 C5 109.361 N2 C4 H7 123.065
N3 C1 H6 122.380 N3 C5 C4 109.361
N3 C5 H8 123.065 C4 C5 H8 127.575
C5 C4 H7 127.575
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.181      
2 N -0.437      
3 N -0.437      
4 C 0.031      
5 C 0.031      
6 H 0.224      
7 H 0.203      
8 H 0.203      


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 -1.461 1.461
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.505 0.000 0.000
y 0.000 -34.402 0.000
z 0.000 0.000 -22.168
Traceless
 xyz
x -1.220 0.000 0.000
y 0.000 -8.566 0.000
z 0.000 0.000 9.786
Polar
3z2-r219.572
x2-y24.897
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.077 0.000 0.000
y 0.000 5.541 0.000
z 0.000 0.000 7.195


<r2> (average value of r2) Å2
<r2> 79.399
(<r2>)1/2 8.911