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

using model chemistry: B97D3/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B97D3/TZVP
 hartrees
Energy at 0K-265.455574
Energy at 298.15K-265.463116
HF Energy-265.455574
Nuclear repulsion energy224.145795
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 B97D3/TZVP
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 3588 3537 29.12      
2 A 3222 3175 4.55      
3 A 3192 3146 6.33      
4 A 3096 3051 5.43      
5 A 3023 2979 22.35      
6 A 2975 2932 41.58      
7 A 1549 1527 36.47      
8 A 1483 1461 1.87      
9 A 1462 1441 4.71      
10 A 1457 1436 8.36      
11 A 1395 1375 35.18      
12 A 1387 1367 2.06      
13 A 1346 1326 1.47      
14 A 1245 1227 17.42      
15 A 1152 1135 6.44      
16 A 1111 1095 2.49      
17 A 1074 1058 22.81      
18 A 1036 1021 0.54      
19 A 986 971 10.78      
20 A 944 930 3.43      
21 A 919 906 2.45      
22 A 811 799 13.62      
23 A 690 680 38.76      
24 A 673 663 0.67      
25 A 660 651 11.39      
26 A 623 614 15.73      
27 A 480 473 60.71      
28 A 343 338 5.01      
29 A 232 229 5.39      
30 A 44 44 0.24      

Unscaled Zero Point Vibrational Energy (zpe) 21097.0 cm-1
Scaled (by 0.9856) Zero Point Vibrational Energy (zpe) 20793.2 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 B97D3/TZVP
ABC
0.29569 0.11926 0.08637

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/TZVP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.117 -0.024 0.000
H2 2.509 0.490 0.888
H3 2.495 -1.048 -0.001
H4 2.509 0.491 -0.887
N5 -0.167 1.054 -0.000
H6 0.154 2.011 -0.001
C7 0.626 -0.071 -0.000
N8 -0.121 -1.163 -0.000
C9 -1.434 -0.730 -0.000
H10 -2.257 -1.432 -0.000
C11 -1.490 0.643 0.000
H12 -2.310 1.346 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09791.09181.09792.52482.82721.49122.51113.62024.59513.66784.6337
H21.09791.77611.77462.87462.94082.15553.23034.22135.21494.09894.9738
H31.09181.77611.77613.39143.85202.10862.61863.94164.76774.32885.3682
H41.09791.77461.77612.87402.93942.15553.23094.22165.21544.09884.9736
N52.52482.87463.39142.87401.00941.37632.21722.18833.24801.38592.1631
H62.82722.94083.85202.93941.00942.13503.18583.16784.20332.13902.5519
C71.49122.15552.10862.15551.37632.13501.32312.16303.18852.23343.2603
N82.51113.23032.61863.23092.21723.18581.32311.38222.15302.26583.3295
C93.62024.22133.94164.22162.18833.16782.16301.38221.08191.37392.2536
H104.59515.21494.76775.21543.24804.20333.18852.15301.08192.21182.7786
C113.66784.09894.32884.09881.38592.13902.23342.26581.37392.21181.0803
H124.63374.97385.36824.97362.16312.55193.26033.32952.25362.77861.0803

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 123.356 C1 C7 N8 126.213
H2 C1 H3 108.404 H2 C1 H4 107.836
H2 C1 C7 111.820 H3 C1 H4 108.406
H3 C1 C7 108.447 H4 C1 C7 111.822
N5 C7 N8 110.430 N5 C11 C9 104.916
N5 C11 H12 122.097 H6 N5 C7 126.311
H6 N5 C11 125.775 C7 N5 C11 107.914
C7 N8 C9 106.150 N8 C9 H10 121.319
N8 C9 C11 110.590 C9 C11 H12 132.987
H10 C9 C11 128.091
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.445      
2 H 0.123      
3 H 0.151      
4 H 0.123      
5 N -0.109      
6 H 0.227      
7 C 0.025      
8 N -0.082      
9 C -0.099      
10 H 0.095      
11 C -0.108      
12 H 0.099      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.575 3.567 -0.000 3.614
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.021 0.587 -0.001
y 0.587 -34.420 -0.001
z -0.001 -0.001 -38.095
Traceless
 xyz
x 5.237 0.587 -0.001
y 0.587 0.138 -0.001
z -0.001 -0.001 -5.375
Polar
3z2-r2-10.750
x2-y23.399
xy0.587
xz-0.001
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.123 0.028 0.000
y 0.028 9.157 0.000
z 0.000 0.000 5.788


<r2> (average value of r2) Å2
<r2> 140.023
(<r2>)1/2 11.833