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

using model chemistry: B3LYP/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 B3LYP/TZVP
 hartrees
Energy at 0K-265.630495
Energy at 298.15K-265.638208
HF Energy-265.630495
Nuclear repulsion energy225.089204
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 B3LYP/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 3647 3521 47.32      
2 A 3277 3164 1.95      
3 A 3249 3136 4.79      
4 A 3141 3032 3.82      
5 A 3073 2967 18.71      
6 A 3029 2924 32.59      
7 A 1593 1538 38.45      
8 A 1517 1465 4.20      
9 A 1494 1443 5.19      
10 A 1486 1435 9.22      
11 A 1436 1386 41.52      
12 A 1420 1371 0.16      
13 A 1383 1335 2.06      
14 A 1273 1229 16.62      
15 A 1176 1136 7.79      
16 A 1138 1099 1.88      
17 A 1099 1061 27.20      
18 A 1062 1026 0.61      
19 A 1010 975 10.25      
20 A 968 935 3.59      
21 A 934 902 2.27      
22 A 858 829 10.67      
23 A 725 700 50.30      
24 A 684 660 5.28      
25 A 679 656 0.70      
26 A 640 618 14.20      
27 A 510 492 68.65      
28 A 351 339 5.28      
29 A 245 237 5.80      
30 A 60 58 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 21579.3 cm-1
Scaled (by 0.9654) Zero Point Vibrational Energy (zpe) 20832.7 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 B3LYP/TZVP
ABC
0.29871 0.12008 0.08705

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/TZVP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.084 -0.033 0.002
H2 2.472 0.146 1.007
H3 2.460 -0.990 -0.350
H4 2.462 0.755 -0.655
N5 -0.170 1.024 -0.002
H6 0.144 1.956 -0.002
C7 0.612 -0.056 -0.001
N8 -0.136 -1.130 -0.002
C9 -1.403 -0.722 0.002
H10 -2.232 -1.362 0.002
C11 -1.441 0.640 0.001
H12 -2.275 1.269 0.003

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09231.08641.09362.48952.77831.47182.47563.55404.51513.58814.5495
H21.09231.76911.77012.96123.11652.12483.07334.09615.04024.06984.9806
H31.08641.76911.77143.33083.76322.09942.62263.88794.71924.24185.2584
H41.09361.77011.77142.72582.69162.12373.27564.18995.19113.95974.8110
N52.48952.96123.33082.72580.98321.33392.15392.13773.15331.32752.1195
H62.77833.11653.76322.69160.98322.06583.09803.09274.08052.05992.5150
C71.47182.12482.09942.12371.33392.06581.30822.12223.12902.16763.1772
N82.47563.07332.62263.27562.15393.09801.30821.33092.10842.19833.2142
C93.55404.09613.88794.18992.13773.09272.12221.33091.04681.36242.1741
H104.51515.04024.71925.19113.15334.08053.12902.10841.04682.15232.6315
C113.58814.06984.24183.95971.32752.05992.16762.19831.36242.15231.0454
H124.54954.98065.25844.81102.11952.51503.17723.21422.17412.63151.0454

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 125.004 C1 C7 N8 125.775
H2 C1 H3 108.584 H2 C1 H4 108.147
H2 C1 C7 111.063 H3 C1 H4 108.701
H3 C1 C7 109.382 H4 C1 C7 110.898
N5 C7 N8 109.221 N5 C11 C9 105.244
N5 C11 H12 126.149 H6 N5 C7 125.468
H6 N5 C11 125.463 C7 N5 C11 109.069
C7 N8 C9 107.053 N8 C9 H10 124.502
N8 C9 C11 109.411 C9 C11 H12 128.607
H10 C9 C11 126.086
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.467      
2 H 0.131      
3 H 0.160      
4 H 0.130      
5 N -0.159      
6 H 0.237      
7 C 0.065      
8 N -0.114      
9 C -0.111      
10 H 0.116      
11 C -0.107      
12 H 0.120      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.556 3.635 -0.007 3.678
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.156 0.592 -0.002
y 0.592 -34.687 -0.022
z -0.002 -0.022 -38.354
Traceless
 xyz
x 5.364 0.592 -0.002
y 0.592 0.068 -0.022
z -0.002 -0.022 -5.432
Polar
3z2-r2-10.865
x2-y23.531
xy0.592
xz-0.002
yz-0.022


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.681 0.051 0.001
y 0.051 8.905 -0.001
z 0.001 -0.001 5.706


<r2> (average value of r2) Å2
<r2> 139.260
(<r2>)1/2 11.801