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 C3H4N2 (2H-Imidazole)

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 1A1
Energy calculated at B3LYP/6-31+G**
 hartrees
Energy at 0K-226.136267
Energy at 298.15K-226.142265
HF Energy-226.136267
Nuclear repulsion energy166.452068
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 3238 3122 14.13      
2 A1 3061 2951 0.20      
3 A1 1706 1645 22.32      
4 A1 1416 1366 1.74      
5 A1 1390 1340 28.10      
6 A1 1256 1211 4.72      
7 A1 1035 998 1.35      
8 A1 929 896 9.49      
9 A2 1144 1103 0.00      
10 A2 915 882 0.00      
11 A2 543 523 0.00      
12 B1 3097 2986 0.66      
13 B1 1008 972 20.64      
14 B1 826 797 5.75      
15 B1 365 352 41.50      
16 B2 3224 3108 5.10      
17 B2 1776 1713 1.32      
18 B2 1389 1339 39.98      
19 B2 1247 1202 1.47      
20 B2 1083 1044 38.23      
21 B2 926 893 69.77      

Unscaled Zero Point Vibrational Energy (zpe) 15786.0 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 15220.9 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
0.36226 0.30234 0.17015

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 1.205
N2 0.000 0.997 0.282
N3 0.000 -0.997 0.282
C4 0.000 0.728 -0.949
C5 0.000 -0.728 -0.949
H6 -0.894 0.000 1.841
H7 0.894 0.000 1.841
H8 0.000 1.475 -1.734
H9 0.000 -1.475 -1.734

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35841.35842.27322.27321.09691.09693.28813.2881
N21.35841.99401.26022.11892.05472.05472.07203.1899
N31.35841.99402.11891.26022.05472.05473.18992.0720
C42.27321.26022.11891.45503.01843.01841.08392.3381
C52.27322.11891.26021.45503.01843.01842.33811.0839
H61.09692.05472.05473.01843.01841.78723.96903.9690
H71.09692.05472.05473.01843.01841.78723.96903.9690
H83.28812.07203.18991.08392.33813.96903.96902.9498
H93.28813.18992.07202.33811.08393.96903.96902.9498

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 120.432 C1 N3 C5 120.432
N2 C1 N3 94.441 N2 C1 H6 113.195
N2 C1 H7 113.195 N2 C4 C5 102.347
N2 C4 H8 124.062 N3 C1 H6 113.195
N3 C1 H7 113.195 N3 C5 C4 102.347
N3 C5 H9 124.062 C4 C5 H9 133.591
C5 C4 H8 133.591 H6 C1 H7 109.110
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 -0.119      
2 N -0.272      
3 N -0.272      
4 C -0.004      
5 C -0.004      
6 H 0.191      
7 H 0.191      
8 H 0.144      
9 H 0.144      


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 -0.819 0.819
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.791 0.000 0.000
y 0.000 -36.685 0.000
z 0.000 0.000 -21.845
Traceless
 xyz
x 0.474 0.000 0.000
y 0.000 -11.367 0.000
z 0.000 0.000 10.893
Polar
3z2-r221.785
x2-y27.894
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.604 0.000 0.000
y 0.000 6.857 0.000
z 0.000 0.000 8.624


<r2> (average value of r2) Å2
<r2> 77.814
(<r2>)1/2 8.821