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/6-31G*

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/6-31G*
 hartrees
Energy at 0K-225.556934
Energy at 298.15K-225.561339
HF Energy-225.556934
Nuclear repulsion energy152.836465
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/6-31G*
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 3258 3129 4.43      
2 A1 3247 3118 15.10      
3 A1 1458 1400 20.28      
4 A1 1324 1272 52.11      
5 A1 1168 1122 28.63      
6 A1 995 955 3.00      
7 A1 919 882 2.92      
8 A2 876 841 0.00      
9 A2 565 543 0.00      
10 B1 867 832 0.49      
11 B1 755 725 17.62      
12 B1 515 495 27.93      
13 B2 3233 3105 2.58      
14 B2 1543 1482 18.11      
15 B2 1305 1253 0.01      
16 B2 1198 1151 5.46      
17 B2 1021 980 73.84      
18 B2 788 757 0.43      

Unscaled Zero Point Vibrational Energy (zpe) 12517.9 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 12021.0 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/6-31G*
ABC
0.35533 0.30484 0.16408

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.095
N2 0.000 1.169 0.372
N3 0.000 -1.169 0.372
C4 0.000 0.737 -0.875
C5 0.000 -0.737 -0.875
H6 0.000 0.000 2.179
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
C11.37421.37422.10342.10341.08413.15493.1549
N21.37422.33801.32032.27822.15172.11533.3238
N31.37422.33802.27821.32032.15173.32382.1153
C42.10341.32032.27821.47453.14191.08482.3070
C52.10342.27821.32031.47453.14192.30701.0848
H61.08412.15172.15173.14193.14194.15364.1536
H73.15492.11533.32381.08482.30704.15362.8114
H83.15493.32382.11532.30701.08484.15362.8114

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 102.624 C1 N3 C5 102.624
N2 C1 N3 116.574 N2 C1 H6 121.713
N2 C4 C5 109.089 N2 C4 H7 122.871
N3 C1 H6 121.713 N3 C5 C4 109.089
N3 C5 H8 122.871 C4 C5 H8 128.040
C5 C4 H7 128.040
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.198      
2 N -0.389      
3 N -0.389      
4 C 0.038      
5 C 0.038      
6 H 0.174      
7 H 0.166      
8 H 0.166      


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 -1.636 1.636
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.794 0.000 0.000
y 0.000 -33.975 0.000
z 0.000 0.000 -22.216
Traceless
 xyz
x -0.698 0.000 0.000
y 0.000 -8.471 0.000
z 0.000 0.000 9.169
Polar
3z2-r218.338
x2-y25.182
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.567 0.000 0.000
y 0.000 5.884 0.000
z 0.000 0.000 7.254


<r2> (average value of r2) Å2
<r2> 76.356
(<r2>)1/2 8.738