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: B2PLYP/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 B2PLYP/6-31+G**
 hartrees
Energy at 0K-225.346569
Energy at 298.15K-225.350993
HF Energy-225.113522
Nuclear repulsion energy152.814792
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 B2PLYP/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 3296 3139 1.49      
2 A1 3281 3125 8.56      
3 A1 1456 1387 15.41      
4 A1 1331 1268 58.78      
5 A1 1173 1118 27.02      
6 A1 1011 963 2.60      
7 A1 919 875 2.09      
8 A2 868 827 0.00      
9 A2 559 532 0.00      
10 B1 875 833 0.12      
11 B1 771 734 27.48      
12 B1 516 491 31.92      
13 B2 3268 3113 0.20      
14 B2 1548 1474 24.40      
15 B2 1311 1249 0.01      
16 B2 1209 1152 7.97      
17 B2 1017 969 68.31      
18 B2 774 737 1.28      

Unscaled Zero Point Vibrational Energy (zpe) 12592.0 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 11992.7 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 B2PLYP/6-31+G**
ABC
0.35398 0.30578 0.16406

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/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 1.168 0.373
N3 0.000 -1.168 0.373
C4 0.000 0.735 -0.877
C5 0.000 -0.735 -0.877
H6 0.000 0.000 2.178
H7 0.000 1.401 -1.729
H8 0.000 -1.401 -1.729

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37501.37502.10782.10781.08023.15533.1553
N21.37502.33621.32312.27682.15052.11453.3195
N31.37502.33622.27681.32312.15053.31952.1145
C42.10781.32312.27681.46963.14291.08132.2997
C52.10782.27681.32311.46963.14292.29971.0813
H61.08022.15052.15053.14293.14294.15094.1509
H73.15532.11453.31951.08132.29974.15092.8030
H83.15533.31952.11452.29971.08134.15092.8030

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 102.726 C1 N3 C5 102.726
N2 C1 N3 116.318 N2 C1 H6 121.841
N2 C4 C5 109.115 N2 C4 H7 122.820
N3 C1 H6 121.841 N3 C5 C4 109.115
N3 C5 H8 122.820 C4 C5 H8 128.065
C5 C4 H7 128.065
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.070      
2 N -0.277      
3 N -0.277      
4 C -0.001      
5 C -0.001      
6 H 0.161      
7 H 0.163      
8 H 0.163      


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 -1.779 1.779
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.939 0.000 0.000
y 0.000 -35.774 0.000
z 0.000 0.000 -22.563
Traceless
 xyz
x -0.770 0.000 0.000
y 0.000 -9.523 0.000
z 0.000 0.000 10.293
Polar
3z2-r220.586
x2-y25.835
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.058 0.000 0.000
y 0.000 7.124 0.000
z 0.000 0.000 7.937


<r2> (average value of r2) Å2
<r2> 77.030
(<r2>)1/2 8.777