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/TZVP

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/TZVP
 hartrees
Energy at 0K-225.950517
Energy at 298.15K-225.956551
HF Energy-225.950517
Nuclear repulsion energy167.362782
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/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 3241 3111 13.02      
2 A1 3073 2951 0.40      
3 A1 1725 1656 20.03      
4 A1 1416 1359 0.06      
5 A1 1379 1324 37.79      
6 A1 1261 1211 5.60      
7 A1 1047 1005 1.86      
8 A1 941 904 11.62      
9 A2 1144 1099 0.00      
10 A2 921 884 0.00      
11 A2 553 531 0.00      
12 B1 3111 2987 1.38      
13 B1 1008 967 20.41      
14 B1 834 800 5.00      
15 B1 369 354 41.56      
16 B2 3226 3097 5.05      
17 B2 1799 1727 0.62      
18 B2 1397 1341 34.90      
19 B2 1246 1196 0.47      
20 B2 1088 1044 34.38      
21 B2 936 899 72.64      

Unscaled Zero Point Vibrational Energy (zpe) 15856.4 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 15223.7 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 HSEh1PBE/TZVP
ABC
0.36402 0.30732 0.17208

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.193
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.724 -0.940
C5 0.000 -0.724 -0.940
H6 -0.891 0.000 1.829
H7 0.891 0.000 1.829
H8 0.000 1.467 -1.727
H9 0.000 -1.467 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35151.35152.25302.25301.09441.09443.26793.2679
N21.35151.99251.25032.10902.04582.04582.06133.1774
N31.35151.99252.10901.25032.04582.04583.17742.0613
C42.25301.25032.10901.44772.99762.99761.08222.3279
C52.25302.10901.25031.44772.99762.99762.32791.0822
H61.09442.04582.04582.99762.99761.78193.94833.9483
H71.09442.04582.04582.99762.99761.78193.94833.9483
H83.26792.06133.17741.08222.32793.94833.94832.9344
H93.26793.17742.06132.32791.08223.94833.94832.9344

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 119.929 C1 N3 C5 119.929
N2 C1 N3 94.976 N2 C1 H6 113.107
N2 C1 H7 113.107 N2 C4 C5 102.583
N2 C4 H8 124.032 N3 C1 H6 113.107
N3 C1 H7 113.107 N3 C5 C4 102.583
N3 C5 H9 124.032 C4 C5 H9 133.385
C5 C4 H8 133.385 H6 C1 H7 108.993
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.302      
2 N -0.055      
3 N -0.055      
4 C -0.106      
5 C -0.106      
6 H 0.188      
7 H 0.188      
8 H 0.123      
9 H 0.123      


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 -0.720 0.720
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.343 0.000 0.000
y 0.000 -35.707 0.000
z 0.000 0.000 -21.766
Traceless
 xyz
x 0.394 0.000 0.000
y 0.000 -10.653 0.000
z 0.000 0.000 10.259
Polar
3z2-r220.517
x2-y27.365
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.287 0.000 0.000
y 0.000 5.951 0.000
z 0.000 0.000 8.393


<r2> (average value of r2) Å2
<r2> 76.845
(<r2>)1/2 8.766