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

using model chemistry: HSEh1PBE/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-225.964837
Energy at 298.15K-225.970770
HF Energy-225.964837
Nuclear repulsion energy160.995885
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/cc-pVDZ
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' 3232 3109 11.68      
2 A' 3212 3090 7.27      
3 A' 3058 2941 0.91      
4 A' 1686 1622 45.30      
5 A' 1587 1527 12.92      
6 A' 1364 1312 24.45      
7 A' 1320 1270 29.15      
8 A' 1305 1256 4.83      
9 A' 1247 1200 6.01      
10 A' 1067 1027 42.07      
11 A' 1029 990 27.67      
12 A' 956 920 3.05      
13 A' 895 861 4.29      
14 A' 889 855 15.56      
15 A" 3098 2980 0.37      
16 A" 1147 1103 0.37      
17 A" 998 960 11.32      
18 A" 963 926 1.98      
19 A" 745 717 5.75      
20 A" 571 550 20.09      
21 A" 364 350 8.35      

Unscaled Zero Point Vibrational Energy (zpe) 15367.1 cm-1
Scaled (by 0.9619) Zero Point Vibrational Energy (zpe) 14781.6 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/cc-pVDZ
ABC
0.32278 0.29413 0.15843

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.197 0.362 0.000
C2 0.000 1.129 0.000
N3 1.118 0.498 0.000
C4 0.728 -0.894 0.000
C5 -0.764 -0.851 0.000
H6 -0.067 2.220 0.000
H7 1.138 -1.418 0.882
H8 1.138 -1.418 -0.882
H9 -1.441 -1.710 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42132.31842.29821.28822.17373.06553.06552.0868
C21.42131.28372.15052.12271.09262.92592.92593.1842
N32.31841.28371.44642.31572.09012.10942.10943.3802
C42.29822.15051.44641.49223.21411.10481.10482.3170
C51.28822.12272.31571.49223.14892.17202.17201.0938
H62.17371.09262.09013.21413.14893.93233.93234.1631
H73.06552.92592.10941.10482.17203.93231.76432.7416
H83.06552.92592.10941.10482.17203.93231.76432.7416
H92.08683.18423.38022.31701.09384.16312.74162.7416

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 117.898 N1 C2 H6 119.122
N1 C5 C4 111.283 N1 C5 H9 122.136
C2 N1 C5 103.041 C2 N3 C4 103.786
N3 C2 H6 122.981 N3 C4 C5 103.993
N3 C4 H7 110.840 N3 C4 H8 110.840
C4 C5 H9 126.582 C5 C4 H7 112.658
C5 C4 H8 112.658 H7 C4 H8 105.970
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.212      
2 C 0.146      
3 N -0.245      
4 C 0.040      
5 C 0.014      
6 H 0.042      
7 H 0.089      
8 H 0.089      
9 H 0.037      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.055 -2.012 0.000 2.012
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.389 -0.628 0.000
y -0.628 -23.851 0.000
z 0.000 0.000 -28.561
Traceless
 xyz
x -8.182 -0.628 0.000
y -0.628 7.624 0.000
z 0.000 0.000 0.559
Polar
3z2-r21.118
x2-y2-10.537
xy-0.628
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.172 -0.358 0.000
y -0.358 7.442 0.000
z 0.000 0.000 3.673


<r2> (average value of r2) Å2
<r2> 81.075
(<r2>)1/2 9.004