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: B97D3/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B97D3/3-21G*
 hartrees
Energy at 0K-224.694436
Energy at 298.15K-224.700391
HF Energy-224.694436
Nuclear repulsion energy165.049592
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 B97D3/3-21G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3198 3198 17.52      
2 A1 3030 3030 0.02      
3 A1 1637 1637 24.11      
4 A1 1413 1413 15.45      
5 A1 1321 1321 0.18      
6 A1 1213 1213 9.46      
7 A1 1005 1005 17.27      
8 A1 832 832 5.65      
9 A2 1155 1155 0.00      
10 A2 918 918 0.00      
11 A2 559 559 0.00      
12 B1 3071 3071 0.01      
13 B1 985 985 16.72      
14 B1 827 827 9.78      
15 B1 369 369 46.47      
16 B2 3180 3180 20.23      
17 B2 1674 1674 0.01      
18 B2 1268 1268 9.51      
19 B2 1222 1222 2.63      
20 B2 1042 1042 18.84      
21 B2 953 953 102.10      

Unscaled Zero Point Vibrational Energy (zpe) 15433.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15433.9 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 B97D3/3-21G*
ABC
0.35671 0.29603 0.16703

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.222
N2 0.000 0.998 0.284
N3 0.000 -0.998 0.284
C4 0.000 0.744 -0.959
C5 0.000 -0.744 -0.959
H6 -0.902 0.000 1.848
H7 0.902 0.000 1.848
H8 0.000 1.482 -1.752
H9 0.000 -1.482 -1.752

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36991.36992.30442.30441.09781.09783.32273.3227
N21.36991.99621.26812.14002.06302.06302.09243.2083
N31.36991.99622.14001.26812.06302.06303.20832.0924
C42.30441.26812.14001.48853.04043.04041.08302.3630
C52.30442.14001.26811.48853.04043.04042.36301.0830
H61.09782.06302.06303.04043.04041.80403.99593.9959
H71.09782.06302.06303.04043.04041.80403.99593.9959
H83.32272.09243.20831.08302.36303.99593.99592.9632
H93.32273.20832.09242.36301.08303.99593.99592.9632

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 121.687 C1 N3 C5 121.687
N2 C1 N3 93.533 N2 C1 H6 112.980
N2 C1 H7 112.980 N2 C4 C5 101.547
N2 C4 H8 125.546 N3 C1 H6 112.980
N3 C1 H7 112.980 N3 C5 C4 101.547
N3 C5 H9 125.546 C4 C5 H9 132.908
C5 C4 H8 132.908 H6 C1 H7 110.506
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.081      
2 N -0.495      
3 N -0.495      
4 C 0.029      
5 C 0.029      
6 H 0.289      
7 H 0.289      
8 H 0.217      
9 H 0.217      


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 -0.213 0.213
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.191 0.000 0.000
y 0.000 -34.879 0.000
z 0.000 0.000 -21.455
Traceless
 xyz
x -0.025 0.000 0.000
y 0.000 -10.056 0.000
z 0.000 0.000 10.081
Polar
3z2-r220.161
x2-y26.687
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.911 0.000 0.000
y 0.000 4.496 0.000
z 0.000 0.000 7.566


<r2> (average value of r2) Å2
<r2> 78.295
(<r2>)1/2 8.848