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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: B2PLYP=FULLultrafine/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 B2PLYP=FULLultrafine/6-31G*
 hartrees
Energy at 0K-225.982834
Energy at 298.15K 
HF Energy-225.741063
Nuclear repulsion energy163.048385
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 B2PLYP=FULLultrafine/6-31G*
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' 3676 3487 53.18 109.94 0.28 0.44
2 A' 3325 3154 2.04 106.04 0.16 0.28
3 A' 3300 3131 1.81 86.00 0.29 0.45
4 A' 3295 3126 6.37 62.65 0.61 0.76
5 A' 1579 1498 11.80 1.64 0.17 0.29
6 A' 1530 1451 17.82 9.38 0.33 0.50
7 A' 1466 1390 18.23 5.74 0.57 0.72
8 A' 1391 1320 9.28 17.49 0.31 0.48
9 A' 1301 1234 0.61 6.41 0.23 0.37
10 A' 1178 1117 4.76 15.59 0.15 0.26
11 A' 1169 1109 2.48 16.27 0.47 0.64
12 A' 1117 1060 17.87 1.79 0.73 0.84
13 A' 1093 1036 33.77 3.36 0.73 0.84
14 A' 947 898 1.69 1.82 0.66 0.80
15 A' 908 861 8.10 1.02 0.75 0.86
16 A" 847 804 8.40 1.34 0.75 0.86
17 A" 798 757 33.95 0.19 0.75 0.86
18 A" 714 677 22.15 1.35 0.75 0.86
19 A" 685 650 3.30 0.19 0.75 0.86
20 A" 645 612 17.75 0.25 0.75 0.86
21 A" 503 477 100.00 1.85 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 15731.7 cm-1
Scaled (by 0.9487) Zero Point Vibrational Energy (zpe) 14924.6 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 B2PLYP=FULLultrafine/6-31G*
ABC
0.32539 0.31233 0.15936

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULLultrafine/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.106 0.000
C2 -1.090 0.282 0.000
C3 1.120 0.301 0.000
N4 -0.743 -0.988 0.000
C5 0.636 -0.983 0.000
H6 -0.009 2.114 0.000
H7 -2.101 0.663 0.000
H8 2.118 0.707 0.000
H9 1.198 -1.905 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36611.37912.22182.18301.00892.14692.15533.2399
C21.36612.21001.31692.13972.12731.08013.23633.1649
C31.37912.21002.26551.37182.13653.24101.07792.2068
N42.22181.31692.26551.37883.18832.13773.32602.1464
C52.18302.13971.37181.37883.16373.19322.24821.0798
H61.00892.12732.13653.18833.16372.54582.55074.1965
H72.14691.08013.24102.13773.19322.54584.21924.1802
H82.15533.23631.07793.32602.24822.55074.21922.7695
H93.23993.16492.20682.14641.07984.19654.18022.7695

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 111.794 N1 C2 H7 122.283
N1 C3 C5 105.036 N1 C3 H8 122.132
C2 N1 C3 107.226 C2 N1 H6 126.542
C2 N4 C5 105.048 C3 N1 H6 126.232
C3 C5 N4 110.897 C3 C5 H9 127.957
N4 C2 H7 125.923 N4 C5 H9 121.146
C5 C3 H8 132.832
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP=FULLultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.568      
2 C 0.192      
3 C 0.001      
4 N -0.423      
5 C -0.048      
6 H 0.353      
7 H 0.170      
8 H 0.170      
9 H 0.153      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.147 3.603 0.000 3.781
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.274 -3.191 -0.000
y -3.191 -25.212 0.002
z -0.000 0.002 -31.304
Traceless
 xyz
x 1.984 -3.191 -0.000
y -3.191 3.577 0.002
z -0.000 0.002 -5.561
Polar
3z2-r2-11.122
x2-y2-1.062
xy-3.191
xz-0.000
yz0.002


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.974 -0.195 0.000
y -0.195 6.728 0.000
z 0.000 0.000 2.568


<r2> (average value of r2) Å2
<r2> 79.762
(<r2>)1/2 8.931