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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: TPSSh/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at TPSSh/6-31G(2df,p)
 hartrees
Energy at 0K-226.222350
Energy at 298.15K-226.228240
HF Energy-226.222350
Nuclear repulsion energy160.513792
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 TPSSh/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 A' 3209 3096 16.24      
2 A' 3188 3077 12.38      
3 A' 3033 2926 2.75      
4 A' 1645 1587 41.34      
5 A' 1543 1489 10.18      
6 A' 1405 1356 16.50      
7 A' 1324 1278 24.25      
8 A' 1303 1258 5.24      
9 A' 1254 1210 7.17      
10 A' 1032 996 55.99      
11 A' 995 960 11.02      
12 A' 939 907 3.49      
13 A' 872 841 5.60      
14 A' 870 839 11.44      
15 A" 3067 2960 1.81      
16 A" 1156 1115 0.40      
17 A" 1004 969 10.54      
18 A" 961 928 1.87      
19 A" 745 719 4.63      
20 A" 558 539 19.01      
21 A" 362 349 6.58      

Unscaled Zero Point Vibrational Energy (zpe) 15231.4 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 14698.3 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 TPSSh/6-31G(2df,p)
ABC
0.32098 0.29167 0.15726

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.203 0.355 0.000
C2 0.000 1.134 0.000
N3 1.117 0.507 0.000
C4 0.739 -0.899 0.000
C5 -0.769 -0.855 0.000
H6 -0.081 2.217 0.000
H7 1.148 -1.409 0.881
H8 1.148 -1.409 -0.881
H9 -1.433 -1.716 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43342.32572.31221.28592.17353.06903.06902.0837
C21.43341.28122.16372.13271.08532.92642.92643.1899
N32.32571.28121.45692.32692.08732.10982.10983.3832
C42.31222.16371.45691.50843.22191.09721.09722.3199
C51.28592.13272.32691.50843.14772.18142.18141.0870
H62.17351.08532.08733.22193.14773.92853.92854.1582
H73.06902.92642.10981.09722.18143.92851.76232.7442
H83.06902.92642.10981.09722.18143.92851.76232.7442
H92.08373.18993.38322.31991.08704.15822.74422.7442

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.791 N1 C2 H6 118.646
N1 C5 C4 111.428 N1 C5 H9 122.621
C2 N1 C5 103.176 C2 N3 C4 104.230
N3 C2 H6 123.563 N3 C4 C5 103.375
N3 C4 H7 110.597 N3 C4 H8 110.597
C4 C5 H9 125.951 C5 C4 H7 112.739
C5 C4 H8 112.739 H7 C4 H8 106.849
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.231      
2 C 0.064      
3 N -0.233      
4 C -0.253      
5 C 0.002      
6 H 0.153      
7 H 0.173      
8 H 0.173      
9 H 0.151      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.021 -1.966 0.000 1.967
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.376 -0.306 0.000
y -0.306 7.473 0.000
z 0.000 0.000 3.839


<r2> (average value of r2) Å2
<r2> 81.306
(<r2>)1/2 9.017