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: wB97X-D/SDD

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at wB97X-D/SDD
 hartrees
Energy at 0K-225.983512
Energy at 298.15K-225.989572
HF Energy-225.983512
Nuclear repulsion energy 
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 wB97X-D/SDD
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 3334 3334 12.28      
2 A1 3134 3134 0.11      
3 A1 1713 1713 18.78      
4 A1 1444 1444 33.39      
5 A1 1397 1397 14.08      
6 A1 1266 1266 9.17      
7 A1 1045 1045 3.45      
8 A1 942 942 11.92      
9 A2 1167 1167 0.00      
10 A2 935 935 0.00      
11 A2 566 566 0.00      
12 B1 3195 3195 0.10      
13 B1 1044 1044 16.13      
14 B1 849 849 18.45      
15 B1 385 385 52.33      
16 B2 3315 3315 4.05      
17 B2 1784 1784 0.13      
18 B2 1379 1379 12.57      
19 B2 1281 1281 4.55      
20 B2 1096 1096 51.10      
21 B2 956 956 76.94      

Unscaled Zero Point Vibrational Energy (zpe) 16112.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 16112.3 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 wB97X-D/SDD
ABC
0.35881 0.29583 0.16730

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/SDD

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.223
N2 0.000 0.998 0.284
N3 0.000 -0.998 0.284
C4 0.000 0.738 -0.961
C5 0.000 -0.738 -0.961
H6 -0.892 0.000 1.852
H7 0.892 0.000 1.852
H8 0.000 1.481 -1.742
H9 0.000 -1.481 -1.742

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.37021.37022.30472.30471.09171.09173.31393.3139
N21.37021.99631.27162.13582.06212.06212.08243.2016
N31.37021.99632.13581.27162.06212.06213.20162.0824
C42.30471.27162.13581.47513.04203.04201.07842.3522
C52.30472.13581.27161.47513.04203.04202.35221.0784
H61.09172.06212.06213.04203.04201.78353.98853.9885
H71.09172.06212.06213.04203.04201.78353.98853.9885
H83.31392.08243.20161.07842.35223.98853.98852.9624
H93.31393.20162.08242.35221.07843.98853.98852.9624

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 121.421 C1 N3 C5 121.421
N2 C1 N3 93.509 N2 C1 H6 113.282
N2 C1 H7 113.282 N2 C4 C5 101.824
N2 C4 H8 124.578 N3 C1 H6 113.282
N3 C1 H7 113.282 N3 C5 C4 101.824
N3 C5 H9 124.578 C4 C5 H9 133.597
C5 C4 H8 133.597 H6 C1 H7 109.531
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.502      
2 N -0.030      
3 N -0.030      
4 C -0.264      
5 C -0.264      
6 H 0.286      
7 H 0.286      
8 H 0.259      
9 H 0.259      


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 -0.733 0.733
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.354 0.000 0.000
y 0.000 -36.570 0.000
z 0.000 0.000 -21.034
Traceless
 xyz
x 0.448 0.000 0.000
y 0.000 -11.876 0.000
z 0.000 0.000 11.428
Polar
3z2-r222.856
x2-y28.216
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.335 0.000 0.000
y 0.000 4.806 0.000
z 0.000 0.000 7.729


<r2> (average value of r2) Å2
<r2> 78.456
(<r2>)1/2 8.858