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

using model chemistry: TPSSh/aug-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 TPSSh/aug-cc-pVDZ
 hartrees
Energy at 0K-226.240307
Energy at 298.15K-226.246210
HF Energy-226.240307
Nuclear repulsion energy160.186382
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/aug-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' 3212 3107 13.01      
2 A' 3190 3086 11.29      
3 A' 3033 2933 3.51      
4 A' 1634 1580 44.78      
5 A' 1534 1484 10.41      
6 A' 1392 1347 20.66      
7 A' 1316 1273 25.35      
8 A' 1298 1256 5.78      
9 A' 1244 1204 5.08      
10 A' 1033 999 53.48      
11 A' 996 963 14.78      
12 A' 942 911 3.18      
13 A' 871 843 1.96      
14 A' 868 840 12.32      
15 A" 3069 2968 1.54      
16 A" 1146 1109 0.42      
17 A" 995 962 16.48      
18 A" 956 925 1.78      
19 A" 741 717 5.88      
20 A" 559 541 19.93      
21 A" 364 352 5.66      

Unscaled Zero Point Vibrational Energy (zpe) 15196.3 cm-1
Scaled (by 0.9673) Zero Point Vibrational Energy (zpe) 14699.4 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/aug-cc-pVDZ
ABC
0.31878 0.29151 0.15673

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.202 0.363 0.000
C2 0.000 1.138 0.000
N3 1.123 0.502 0.000
C4 0.731 -0.904 0.000
C5 -0.767 -0.857 0.000
H6 -0.070 2.225 0.000
H7 1.143 -1.417 0.885
H8 1.143 -1.417 -0.885
H9 -1.444 -1.713 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43022.32912.31111.29532.17903.07363.07362.0905
C21.43021.29042.16882.13781.08922.93512.93513.1962
N32.32911.29041.45972.32852.09562.11312.11313.3908
C42.31112.16881.45971.49923.22981.10221.10222.3206
C51.29532.13782.32851.49923.16012.17802.17801.0911
H62.17901.08922.09563.22983.16013.93893.93894.1711
H73.07362.93512.11311.10222.17803.93891.76912.7494
H83.07362.93512.11311.10222.17803.93891.76912.7494
H92.09053.19623.39082.32061.09114.17112.74942.7494

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 117.667 N1 C2 H6 119.118
N1 C5 C4 111.383 N1 C5 H9 122.099
C2 N1 C5 103.214 C2 N3 C4 103.943
N3 C2 H6 123.215 N3 C4 C5 103.794
N3 C4 H7 110.363 N3 C4 H8 110.363
C4 C5 H9 126.518 C5 C4 H7 112.810
C5 C4 H8 112.810 H7 C4 H8 106.746
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.461      
2 C 0.553      
3 N -0.381      
4 C 0.752      
5 C 0.341      
6 H -0.165      
7 H -0.192      
8 H -0.192      
9 H -0.254      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.024 -2.100 0.000 2.100
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 7.826 -0.267 0.000
y -0.267 8.389 0.000
z 0.000 0.000 5.028


<r2> (average value of r2) Å2
<r2> 82.105
(<r2>)1/2 9.061