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

using model chemistry: MP2/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at MP2/3-21G
 hartrees
Energy at 0K-262.947030
Energy at 298.15K-262.954903
HF Energy-262.370720
Nuclear repulsion energy221.392534
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 MP2/3-21G
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 3594 3430 59.58      
2 A 3322 3171 2.91      
3 A 3297 3147 1.56      
4 A 3190 3045 3.03      
5 A 3142 2999 17.04      
6 A 3085 2944 18.87      
7 A 1599 1526 6.23      
8 A 1592 1519 8.53      
9 A 1542 1472 34.37      
10 A 1490 1422 5.10      
11 A 1475 1408 6.12      
12 A 1404 1340 8.81      
13 A 1349 1288 12.08      
14 A 1289 1230 23.23      
15 A 1158 1106 6.82      
16 A 1128 1076 2.82      
17 A 1103 1053 11.62      
18 A 1073 1024 4.56      
19 A 1002 956 10.57      
20 A 968 924 3.59      
21 A 934 892 3.79      
22 A 836 798 13.94      
23 A 728 695 45.01      
24 A 687 656 3.63      
25 A 667 637 1.51      
26 A 653 624 25.14      
27 A 609 581 105.89      
28 A 341 325 5.35      
29 A 252 240 6.46      
30 A 123 117 0.14      

Unscaled Zero Point Vibrational Energy (zpe) 21814.8 cm-1
Scaled (by 0.9545) Zero Point Vibrational Energy (zpe) 20822.2 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 MP2/3-21G
ABC
0.28780 0.11647 0.08424

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.141 -0.021 0.000
H2 2.530 0.485 0.891
H3 2.494 -1.055 -0.001
H4 2.530 0.486 -0.891
N5 -0.167 1.071 0.000
H6 0.152 2.033 -0.001
C7 0.639 -0.069 -0.000
N8 -0.115 -1.187 -0.000
C9 -1.461 -0.734 -0.000
H10 -2.283 -1.430 0.000
C11 -1.506 0.649 -0.000
H12 -2.331 1.344 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09621.09241.09622.55352.86011.50352.53983.67194.64323.70894.6757
H21.09621.78001.78212.89992.97472.16283.25354.26675.25584.13685.0157
H31.09241.78001.78003.40603.87632.10152.61263.96794.79184.34845.3883
H41.09621.78211.78002.89962.97362.16283.25394.26695.25634.13675.0155
N52.55352.89993.40602.89961.01361.39542.25862.22093.27621.40462.1811
H62.86012.97473.87632.97361.01362.15753.23133.20284.23342.16012.5765
C71.50352.16282.10152.16281.39542.15751.34872.20223.22322.26193.2880
N82.53983.25352.61263.25392.25863.23131.34871.41982.18152.30363.3634
C93.67194.26673.96794.26692.22093.20282.20221.41981.07721.38372.2523
H104.64325.25584.79185.25633.27624.23343.22322.18151.07722.21912.7738
C113.70894.13684.34844.13671.40462.16012.26192.30361.38372.21911.0779
H124.67575.01575.38835.01552.18112.57653.28803.36342.25232.77381.0779

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 123.446 C1 C7 N8 125.777
H2 C1 H3 108.846 H2 C1 H4 108.753
H2 C1 C7 111.638 H3 C1 H4 108.843
H3 C1 C7 107.041 H4 C1 C7 111.640
N5 C7 N8 110.776 N5 C11 C9 105.593
N5 C11 H12 122.395 H6 N5 C7 126.441
H6 N5 C11 125.799 C7 N5 C11 107.761
C7 N8 C9 105.371 N8 C9 H10 121.153
N8 C9 C11 110.500 C9 C11 H12 132.012
H10 C9 C11 128.347
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at MP2/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.600     -0.471
2 H 0.200     0.121
3 H 0.236     0.156
4 H 0.200     0.121
5 N -0.709     -0.301
6 H 0.336     0.335
7 C 0.493     0.499
8 N -0.495     -0.543
9 C -0.091     0.079
10 H 0.200     0.120
11 C 0.017     -0.334
12 H 0.215     0.218


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.418 3.783 -0.001 3.806
CHELPG        
AIM        
ESP 0.394 3.746 -0.001 3.766


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.029 0.519 -0.001
y 0.519 -34.514 -0.004
z -0.001 -0.004 -38.748
Traceless
 xyz
x 5.602 0.519 -0.001
y 0.519 0.375 -0.004
z -0.001 -0.004 -5.977
Polar
3z2-r2-11.954
x2-y23.485
xy0.519
xz-0.001
yz-0.004


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.905 0.226 0.000
y 0.226 7.206 -0.000
z 0.000 -0.000 3.247


<r2> (average value of r2) Å2
<r2> 142.708
(<r2>)1/2 11.946