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: PBEPBEultrafine/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/6-311G*
 hartrees
Energy at 0K-225.893530
Energy at 298.15K-225.899454
HF Energy-225.893530
Nuclear repulsion energy166.222456
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 PBEPBEultrafine/6-311G*
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 3137 3105 25.07      
2 A1 2989 2958 0.03      
3 A1 1660 1643 17.26      
4 A1 1372 1358 2.31      
5 A1 1342 1328 29.39      
6 A1 1233 1220 8.91      
7 A1 1012 1002 2.40      
8 A1 894 885 13.68      
9 A2 1109 1097 0.00      
10 A2 877 867 0.00      
11 A2 533 528 0.00      
12 B1 3021 2990 0.10      
13 B1 969 959 17.67      
14 B1 793 784 7.48      
15 B1 365 361 37.94      
16 B2 3122 3089 13.38      
17 B2 1721 1703 1.47      
18 B2 1338 1325 38.05      
19 B2 1193 1180 1.73      
20 B2 1056 1045 25.27      
21 B2 909 900 81.09      

Unscaled Zero Point Vibrational Energy (zpe) 15322.5 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 15163.2 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 PBEPBEultrafine/6-311G*
ABC
0.36104 0.30181 0.16975

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.203
N2 0.000 0.997 0.283
N3 0.000 -0.997 0.283
C4 0.000 0.729 -0.951
C5 0.000 -0.729 -0.951
H6 -0.897 0.000 1.846
H7 0.897 0.000 1.846
H8 0.000 1.491 -1.734
H9 0.000 -1.491 -1.734

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35601.35602.27382.27381.10351.10353.29323.2932
N21.35601.99351.26292.12202.05902.05902.07673.2027
N31.35601.99352.12201.26292.05902.05903.20272.0767
C42.27381.26292.12201.45873.02643.02641.09222.3543
C52.27382.12201.26291.45873.02643.02642.35431.0922
H61.10352.05902.05903.02643.02641.79323.98013.9801
H71.10352.05902.05903.02643.02641.79323.98013.9801
H83.29322.07673.20271.09222.35433.98013.98012.9821
H93.29323.20272.07672.35431.09223.98013.98012.9821

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 120.463 C1 N3 C5 120.463
N2 C1 N3 94.626 N2 C1 H6 113.283
N2 C1 H7 113.283 N2 C4 C5 102.224
N2 C4 H8 123.556 N3 C1 H6 113.283
N3 C1 H7 113.283 N3 C5 C4 102.224
N3 C5 H9 123.556 C4 C5 H9 134.220
C5 C4 H8 134.220 H6 C1 H7 108.675
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.241      
2 N -0.235      
3 N -0.235      
4 C -0.115      
5 C -0.115      
6 H 0.263      
7 H 0.263      
8 H 0.207      
9 H 0.207      


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 -0.447 0.447
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.278 0.000 0.000
y 0.000 -34.889 0.000
z 0.000 0.000 -21.902
Traceless
 xyz
x 0.117 0.000 0.000
y 0.000 -9.799 0.000
z 0.000 0.000 9.682
Polar
3z2-r219.365
x2-y26.611
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.801 0.000 0.000
y 0.000 5.627 0.000
z 0.000 0.000 8.285


<r2> (average value of r2) Å2
<r2> 77.538
(<r2>)1/2 8.806