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 (1H-Imidazole)

using model chemistry: HSEh1PBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HSEh1PBE/6-31G**
 hartrees
Energy at 0K-225.982979
Energy at 298.15K-225.988973
HF Energy-225.982979
Nuclear repulsion energy163.656343
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/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3714 3544 58.68      
2 A' 3317 3166 1.27      
3 A' 3286 3136 0.90      
4 A' 3282 3132 6.57      
5 A' 1593 1520 14.14      
6 A' 1540 1470 19.31      
7 A' 1476 1408 13.91      
8 A' 1407 1343 8.83      
9 A' 1295 1236 0.80      
10 A' 1201 1146 4.29      
11 A' 1165 1112 2.81      
12 A' 1118 1066 25.70      
13 A' 1094 1044 29.78      
14 A' 947 904 1.87      
15 A' 906 865 7.82      
16 A" 874 834 4.55      
17 A" 818 780 31.16      
18 A" 734 701 28.30      
19 A" 690 658 2.66      
20 A" 653 623 15.07      
21 A" 537 512 100.08      

Unscaled Zero Point Vibrational Energy (zpe) 15822.3 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 15099.2 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 HSEh1PBE/6-31G**
ABC
0.32798 0.31467 0.16059

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.101 0.000
C2 -1.085 0.281 0.000
C3 1.115 0.301 0.000
N4 -0.740 -0.984 0.000
C5 0.631 -0.980 0.000
H6 -0.010 2.107 0.000
H7 -2.097 0.662 0.000
H8 2.115 0.706 0.000
H9 1.197 -1.902 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35991.37262.21182.17481.00632.14262.15213.2322
C21.35992.20041.31082.12992.11881.08143.22843.1575
C31.37262.20042.25631.36952.12833.23271.07882.2039
N42.21181.31082.25631.37103.17552.13303.31732.1430
C52.17482.12991.36951.37103.15333.18442.24601.0810
H61.00632.11882.12833.17553.15332.53852.54624.1864
H72.14261.08143.23272.13303.18442.53854.21284.1738
H82.15213.22841.07883.31732.24602.54624.21282.7642
H93.23223.15752.20392.14301.08104.18644.17382.7642

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 111.805 N1 C2 H7 122.308
N1 C3 C5 104.952 N1 C3 H8 122.319
C2 N1 C3 107.272 C2 N1 H6 126.491
C2 N4 C5 105.134 C3 N1 H6 126.237
C3 C5 N4 110.836 C3 C5 H9 127.763
N4 C2 H7 125.887 N4 C5 H9 121.400
C5 C3 H8 132.728
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.520      
2 C 0.245      
3 C 0.034      
4 N -0.450      
5 C -0.012      
6 H 0.291      
7 H 0.143      
8 H 0.143      
9 H 0.125      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.121 3.589 0.000 3.760
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.988 -3.173 0.000
y -3.173 -24.933 0.000
z 0.000 0.000 -31.149
Traceless
 xyz
x 2.053 -3.173 0.000
y -3.173 3.635 0.000
z 0.000 0.000 -5.688
Polar
3z2-r2-11.377
x2-y2-1.055
xy-3.173
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.066 -0.193 0.000
y -0.193 6.788 0.000
z 0.000 0.000 2.650


<r2> (average value of r2) Å2
<r2> 79.168
(<r2>)1/2 8.898