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: B3LYP/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 B3LYP/6-31+G**
 hartrees
Energy at 0K-225.572489
Energy at 298.15K-225.576904
HF Energy-225.572489
Nuclear repulsion energy152.770130
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 B3LYP/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 3255 3139 1.88      
2 A1 3241 3125 10.19      
3 A1 1448 1396 21.57      
4 A1 1318 1271 57.08      
5 A1 1168 1127 25.96      
6 A1 990 954 1.91      
7 A1 917 884 2.06      
8 A2 875 844 0.00      
9 A2 558 538 0.00      
10 B1 874 843 0.03      
11 B1 757 730 26.48      
12 B1 513 495 29.77      
13 B2 3228 3113 0.46      
14 B2 1532 1477 26.00      
15 B2 1297 1251 0.00      
16 B2 1193 1150 6.73      
17 B2 1021 985 73.66      
18 B2 790 761 0.94      

Unscaled Zero Point Vibrational Energy (zpe) 12487.9 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 12040.9 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 B3LYP/6-31+G**
ABC
0.35387 0.30547 0.16395

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.098
N2 0.000 1.167 0.372
N3 0.000 -1.167 0.372
C4 0.000 0.738 -0.877
C5 0.000 -0.738 -0.877
H6 0.000 0.000 2.182
H7 0.000 1.406 -1.730
H8 0.000 -1.406 -1.730

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37431.37432.10882.10881.08313.15923.1592
N21.37432.33391.32132.27802.15282.11653.3233
N31.37432.33392.27801.32132.15283.32332.1165
C42.10881.32132.27801.47543.14641.08412.3077
C52.10882.27801.32131.47543.14642.30771.0841
H61.08312.15282.15283.14643.14644.15724.1572
H73.15922.11653.32331.08412.30774.15722.8129
H83.15923.32332.11652.30771.08414.15722.8129

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 102.930 C1 N3 C5 102.930
N2 C1 N3 116.227 N2 C1 H6 121.887
N2 C4 C5 108.957 N2 C4 H7 122.958
N3 C1 H6 121.887 N3 C5 C4 108.957
N3 C5 H8 122.958 C4 C5 H8 128.085
C5 C4 H7 128.085
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.064      
2 N -0.267      
3 N -0.267      
4 C 0.007      
5 C 0.007      
6 H 0.152      
7 H 0.152      
8 H 0.152      


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 -1.776 1.776
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.752 0.000 0.000
y 0.000 -35.507 0.000
z 0.000 0.000 -22.531
Traceless
 xyz
x -0.733 0.000 0.000
y 0.000 -9.366 0.000
z 0.000 0.000 10.099
Polar
3z2-r220.198
x2-y25.756
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.074 0.000 0.000
y 0.000 7.160 0.000
z 0.000 0.000 7.976


<r2> (average value of r2) Å2
<r2> 76.991
(<r2>)1/2 8.774