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

using model chemistry: M06-2X/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 M06-2X/3-21G*
 hartrees
Energy at 0K-263.948480
Energy at 298.15K-263.956437
HF Energy-263.948480
Nuclear repulsion energy223.404726
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 M06-2X/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 3642 3450 73.40      
2 A 3348 3172 0.52      
3 A 3322 3147 1.93      
4 A 3178 3010 0.35      
5 A 3098 2935 8.26      
6 A 3046 2885 12.15      
7 A 1601 1516 49.52      
8 A 1555 1473 0.49      
9 A 1553 1471 11.23      
10 A 1523 1443 6.59      
11 A 1461 1384 4.93      
12 A 1431 1355 20.26      
13 A 1384 1311 7.19      
14 A 1299 1231 24.35      
15 A 1175 1113 7.24      
16 A 1130 1070 10.88      
17 A 1114 1055 18.27      
18 A 1105 1047 7.92      
19 A 1021 967 8.79      
20 A 991 939 3.29      
21 A 952 902 3.14      
22 A 947 897 4.48      
23 A 803 761 37.36      
24 A 719 681 122.87      
25 A 711 674 40.90      
26 A 685 649 1.43      
27 A 666 631 0.18      
28 A 333 316 5.65      
29 A 258 244 7.54      
30 A 87 83 0.13      

Unscaled Zero Point Vibrational Energy (zpe) 22069.9 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 20904.6 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 M06-2X/3-21G*
ABC
0.29454 0.11830 0.08577

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.125 -0.024 0.000
H2 2.508 0.486 0.890
H3 2.487 -1.053 -0.001
H4 2.508 0.488 -0.889
N5 -0.163 1.059 -0.000
H6 0.159 2.018 -0.000
C7 0.631 -0.073 -0.000
N8 -0.117 -1.168 0.000
C9 -1.449 -0.727 -0.000
H10 -2.267 -1.422 -0.000
C11 -1.494 0.643 0.000
H12 -2.316 1.334 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09521.09031.09522.53152.83481.49442.51653.64194.60943.67984.6438
H21.09521.77841.77952.87292.94182.15063.22734.23275.21884.10244.9774
H31.09031.77841.77853.38853.85362.09882.60663.94914.76884.32715.3632
H41.09521.77951.77852.87242.94082.15063.22784.23295.21914.10224.9771
N52.53152.87293.38852.87241.01271.38232.22652.20013.25291.39412.1699
H62.83482.94183.85362.94081.01272.14353.19793.18174.21032.15092.5678
C71.49442.15062.09882.15061.38232.14351.32622.18043.19752.24243.2655
N82.51653.22732.60663.22782.22653.19791.32621.40252.16552.27443.3306
C93.64194.23273.94914.23292.20013.18172.18041.40251.07411.37052.2363
H104.60945.21884.76885.21913.25294.21033.19752.16551.07412.20492.7569
C113.67984.10244.32714.10221.39412.15092.24242.27441.37052.20491.0740
H124.64384.97745.36324.97712.16992.56783.26553.33062.23632.75691.0740

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 123.242 C1 C7 N8 126.195
H2 C1 H3 108.920 H2 C1 H4 108.660
H2 C1 C7 111.363 H3 C1 H4 108.922
H3 C1 C7 107.554 H4 C1 C7 111.363
N5 C7 N8 110.563 N5 C11 C9 105.457
N5 C11 H12 122.555 H6 N5 C7 126.330
H6 N5 C11 125.936 C7 N5 C11 107.734
C7 N8 C9 106.048 N8 C9 H10 121.374
N8 C9 C11 110.199 C9 C11 H12 131.988
H10 C9 C11 128.428
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.622      
2 H 0.216      
3 H 0.249      
4 H 0.216      
5 N -0.760      
6 H 0.341      
7 C 0.515      
8 N -0.529      
9 C -0.092      
10 H 0.214      
11 C 0.021      
12 H 0.229      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.492 3.765 -0.000 3.797
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.816 0.582 0.000
y 0.582 -34.005 0.000
z 0.000 0.000 -38.330
Traceless
 xyz
x 6.351 0.582 0.000
y 0.582 0.068 0.000
z 0.000 0.000 -6.420
Polar
3z2-r2-12.839
x2-y24.189
xy0.582
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.957 0.196 0.000
y 0.196 7.231 0.000
z 0.000 0.000 3.272


<r2> (average value of r2) Å2
<r2> 140.417
(<r2>)1/2 11.850