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/TZVP

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/TZVP
 hartrees
Energy at 0K-224.269028
Energy at 298.15K-224.273667
HF Energy-224.269028
Nuclear repulsion energy154.603803
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/TZVP
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 3408 3408 4.36      
2 A1 3388 3388 9.87      
3 A1 1576 1576 23.91      
4 A1 1391 1391 75.78      
5 A1 1224 1224 25.52      
6 A1 1034 1034 0.04      
7 A1 991 991 2.90      
8 A2 904 904 0.00      
9 A2 596 596 0.00      
10 B1 888 888 0.05      
11 B1 825 825 26.03      
12 B1 605 605 35.47      
13 B2 3377 3377 0.91      
14 B2 1632 1632 21.77      
15 B2 1403 1403 0.02      
16 B2 1234 1234 18.30      
17 B2 1115 1115 47.53      
18 B2 888 888 2.61      

Unscaled Zero Point Vibrational Energy (zpe) 13239.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 13239.0 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 ROHF/TZVP
ABC
0.36126 0.31322 0.16776

See section I.F.4 to change rotational constant units
Geometric Data calculated at ROHF/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.091
N2 0.000 1.146 0.366
N3 0.000 -1.146 0.366
C4 0.000 0.739 -0.867
C5 0.000 -0.739 -0.867
H6 0.000 0.000 2.161
H7 0.000 1.401 -1.710
H8 0.000 -1.401 -1.710

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.35591.35592.09322.09321.06973.13203.1320
N21.35592.29131.29842.25222.12952.09183.2853
N31.35592.29132.25221.29842.12953.28532.0918
C42.09321.29842.25221.47813.11701.07162.2997
C52.09322.25221.29841.47813.11702.29971.0716
H61.06972.12952.12953.11703.11704.11674.1167
H73.13202.09183.28531.07162.29974.11672.8010
H83.13203.28532.09182.29971.07164.11672.8010

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 104.088 C1 N3 C5 104.088
N2 C1 N3 115.325 N2 C1 H6 122.338
N2 C4 C5 108.250 N2 C4 H7 123.635
N3 C1 H6 122.338 N3 C5 C4 108.250
N3 C5 H8 123.635 C4 C5 H8 128.115
C5 C4 H7 128.115
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at ROHF/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.025      
2 N -0.144      
3 N -0.144      
4 C -0.033      
5 C -0.033      
6 H 0.124      
7 H 0.128      
8 H 0.128      


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 -2.062 2.062
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.514 0.000 0.000
y 0.000 -35.239 0.000
z 0.000 0.000 -22.290
Traceless
 xyz
x -0.749 0.000 0.000
y 0.000 -9.337 0.000
z 0.000 0.000 10.086
Polar
3z2-r220.173
x2-y25.725
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> 75.536
(<r2>)1/2 8.691