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: ROHF/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 ROHF/6-31G*
 hartrees
Energy at 0K-224.203522
Energy at 298.15K-224.208165
HF Energy-224.203522
Nuclear repulsion energy154.400822
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 ROHF/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 3452 3074 7.88      
2 A1 3434 3057 12.57      
3 A1 1602 1427 28.65      
4 A1 1404 1251 70.25      
5 A1 1235 1100 25.20      
6 A1 1049 934 0.36      
7 A1 991 883 4.19      
8 A2 928 827 0.00      
9 A2 603 537 0.00      
10 B1 906 807 0.51      
11 B1 832 741 19.91      
12 B1 609 542 39.11      
13 B2 3421 3046 2.97      
14 B2 1652 1471 21.74      
15 B2 1411 1256 0.01      
16 B2 1244 1108 16.05      
17 B2 1133 1009 44.81      
18 B2 904 805 6.09      

Unscaled Zero Point Vibrational Energy (zpe) 13405.3 cm-1
Scaled (by 0.8904) Zero Point Vibrational Energy (zpe) 11936.1 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 ROHF/6-31G*
ABC
0.36086 0.31200 0.16733

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.090
N2 0.000 1.149 0.367
N3 0.000 -1.149 0.367
C4 0.000 0.739 -0.868
C5 0.000 -0.739 -0.868
H6 0.000 0.000 2.161
H7 0.000 1.400 -1.712
H8 0.000 -1.400 -1.712

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.35751.35752.09292.09291.07053.13273.1327
N21.35752.29811.30172.25632.12982.09483.2897
N31.35752.29812.25631.30172.12983.28972.0948
C42.09291.30172.25631.47793.11751.07222.2994
C52.09292.25631.30171.47793.11752.29941.0722
H61.07052.12982.12983.11753.11754.11824.1182
H73.13272.09483.28971.07222.29944.11822.7996
H83.13273.28972.09482.29941.07224.11822.7996

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 103.807 C1 N3 C5 103.807
N2 C1 N3 115.658 N2 C1 H6 122.171
N2 C4 C5 108.363 N2 C4 H7 123.588
N3 C1 H6 122.171 N3 C5 C4 108.363
N3 C5 H8 123.588 C4 C5 H8 128.049
C5 C4 H7 128.049
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at ROHF/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.222      
2 N -0.474      
3 N -0.474      
4 C 0.023      
5 C 0.023      
6 H 0.223      
7 H 0.229      
8 H 0.229      


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 -2.041 2.041
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.221 0.000 0.000
y 0.000 -34.751 0.000
z 0.000 0.000 -22.028
Traceless
 xyz
x -0.832 0.000 0.000
y 0.000 -9.126 0.000
z 0.000 0.000 9.958
Polar
3z2-r219.915
x2-y25.529
xy0.000
xz0.000
yz0.000


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


<r2> (average value of r2) Å2
<r2> 75.454
(<r2>)1/2 8.686