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: HSEh1PBE/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HSEh1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-225.893394
Energy at 298.15K-225.899431
HF Energy-225.893394
Nuclear repulsion energy167.202566
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 HSEh1PBE/6-31G(2df,p)
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 3243 3106 15.06      
2 A1 3072 2942 0.01      
3 A1 1742 1669 19.26      
4 A1 1416 1356 0.03      
5 A1 1380 1322 27.34      
6 A1 1267 1213 5.46      
7 A1 1049 1005 1.75      
8 A1 940 900 13.05      
9 A2 1143 1095 0.00      
10 A2 940 901 0.00      
11 A2 555 532 0.00      
12 B1 3113 2981 0.40      
13 B1 1006 963 17.74      
14 B1 834 799 2.65      
15 B1 376 360 37.44      
16 B2 3227 3091 8.09      
17 B2 1812 1736 0.00      
18 B2 1397 1338 31.81      
19 B2 1240 1187 0.74      
20 B2 1090 1044 26.35      
21 B2 934 894 79.01      

Unscaled Zero Point Vibrational Energy (zpe) 15888.0 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 15215.9 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 HSEh1PBE/6-31G(2df,p)
ABC
0.36340 0.30665 0.17174

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.194
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.725 -0.941
C5 0.000 -0.725 -0.941
H6 -0.892 0.000 1.832
H7 0.892 0.000 1.832
H8 0.000 1.470 -1.729
H9 0.000 -1.470 -1.729

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35211.35212.25552.25551.09621.09623.27173.2717
N21.35211.99261.25132.11112.04832.04832.06393.1809
N31.35211.99262.11111.25132.04832.04833.18092.0639
C42.25551.25132.11111.45093.00213.00211.08362.3324
C52.25552.11111.25131.45093.00213.00212.33241.0836
H61.09622.04832.04833.00213.00211.78333.95393.9539
H71.09622.04832.04833.00213.00211.78333.95393.9539
H83.27172.06393.18091.08362.33243.95393.95392.9402
H93.27173.18092.06392.33241.08363.95393.95392.9402

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 120.035 C1 N3 C5 120.035
N2 C1 N3 94.928 N2 C1 H6 113.158
N2 C1 H7 113.158 N2 C4 C5 102.501
N2 C4 H8 124.087 N3 C1 H6 113.158
N3 C1 H7 113.158 N3 C5 C4 102.501
N3 C5 H9 124.087 C4 C5 H9 133.411
C5 C4 H8 133.411 H6 C1 H7 108.858
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.173      
2 N -0.149      
3 N -0.149      
4 C -0.108      
5 C -0.108      
6 H 0.189      
7 H 0.189      
8 H 0.154      
9 H 0.154      


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 -0.648 0.648
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.777 0.000 0.000
y 0.000 -34.027 0.000
z 0.000 0.000 -21.554
Traceless
 xyz
x 0.014 0.000 0.000
y 0.000 -9.362 0.000
z 0.000 0.000 9.348
Polar
3z2-r218.696
x2-y26.250
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.710 0.000 0.000
y 0.000 5.334 0.000
z 0.000 0.000 7.916


<r2> (average value of r2) Å2
<r2> 76.459
(<r2>)1/2 8.744