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All results from a given calculation for C4H6N2 (1H-Imidazole, 2-methyl-)

using model chemistry: LSDA/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at LSDA/3-21G*
 hartrees
Energy at 0K-262.626891
Energy at 298.15K-262.634749
Nuclear repulsion energy223.938117
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 LSDA/3-21G*
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 3500 3437 40.24      
2 A 3241 3183 0.36      
3 A 3213 3156 2.33      
4 A 3106 3050 0.43      
5 A 3041 2986 8.65      
6 A 2982 2928 16.59      
7 A 1555 1527 50.93      
8 A 1494 1467 0.36      
9 A 1490 1463 13.99      
10 A 1470 1444 4.69      
11 A 1396 1370 10.33      
12 A 1373 1348 14.83      
13 A 1347 1323 9.02      
14 A 1269 1246 27.13      
15 A 1164 1143 3.88      
16 A 1110 1090 15.46      
17 A 1085 1066 15.82      
18 A 1057 1038 10.12      
19 A 991 973 9.89      
20 A 954 936 0.81      
21 A 929 913 3.92      
22 A 874 858 6.70      
23 A 739 725 33.57      
24 A 696 684 11.56      
25 A 684 672 1.27      
26 A 657 645 132.95      
27 A 650 638 2.91      
28 A 326 320 6.00      
29 A 251 247 6.96      
30 A 117 115 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 21379.5 cm-1
Scaled (by 0.982) Zero Point Vibrational Energy (zpe) 20994.7 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 LSDA/3-21G*
ABC
0.29440 0.11960 0.08646

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/3-21G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.108 -0.024 0.000
H2 2.511 0.483 0.897
H3 2.464 -1.065 -0.000
H4 2.511 0.484 -0.896
N5 -0.165 1.056 -0.000
H6 0.154 2.027 -0.001
C7 0.634 -0.067 0.000
N8 -0.117 -1.165 -0.000
C9 -1.435 -0.731 -0.000
H10 -2.265 -1.431 -0.000
C11 -1.487 0.643 0.000
H12 -2.320 1.338 0.001

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.10601.10081.10602.51702.83321.47522.50143.61374.59443.65634.6327
H21.10601.79041.79252.88012.95732.15203.22974.22555.22334.10014.9870
H31.10081.79041.79043.37863.86042.08512.58363.91414.74354.30435.3537
H41.10601.79251.79042.87962.95632.15203.23004.22565.22354.10024.9871
N52.51702.88013.37862.87961.02221.37822.22192.19263.25541.38482.1730
H62.83322.95733.86042.95631.02222.14853.20403.18334.22072.14692.5681
C71.47522.15202.08512.15201.37822.14851.33062.17323.20392.23603.2705
N82.50143.22972.58363.23002.22193.20401.33061.38782.16412.26783.3338
C93.61374.22553.91414.22562.19263.18332.17321.38781.08581.37442.2495
H104.59445.22334.74355.22353.25544.22073.20392.16411.08582.21522.7695
C113.65634.10014.30434.10021.38482.14692.23602.26781.37442.21521.0850
H124.63274.98705.35374.98712.17302.56813.27053.33382.24952.76951.0850

picture of 1H-Imidazole, 2-methyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C7 N5 123.750 C1 C7 N8 126.045
H2 C1 H3 108.451 H2 C1 H4 108.266
H2 C1 C7 112.177 H3 C1 H4 108.454
H3 C1 C7 107.190 H4 C1 C7 112.178
N5 C7 N8 110.205 N5 C11 C9 105.246
N5 C11 H12 122.786 H6 N5 C7 126.389
H6 N5 C11 125.565 C7 N5 C11 108.045
C7 N8 C9 106.131 N8 C9 H10 121.582
N8 C9 C11 110.374 C9 C11 H12 131.969
H10 C9 C11 128.045
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.703      
2 H 0.232      
3 H 0.264      
4 H 0.232      
5 N -0.687      
6 H 0.333      
7 C 0.483      
8 N -0.473      
9 C -0.112      
10 H 0.208      
11 C 0.003      
12 H 0.222      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.559 3.718 0.000 3.759
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.935 0.555 -0.001
y 0.555 -33.253 -0.001
z -0.001 -0.001 -37.969
Traceless
 xyz
x 5.675 0.555 -0.001
y 0.555 0.700 -0.001
z -0.001 -0.001 -6.375
Polar
3z2-r2-12.750
x2-y23.317
xy0.555
xz-0.001
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.593 0.166 -0.000
y 0.166 7.420 0.000
z -0.000 0.000 3.387


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000