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

using model chemistry: M06-2X/6-31G*

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/6-31G*
 hartrees
Energy at 0K-265.420857
Energy at 298.15K-265.428523
HF Energy-265.420857
Nuclear repulsion energy225.301045
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/6-31G*
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 3690 3494 61.63      
2 A 3310 3135 1.43      
3 A 3279 3106 5.32      
4 A 3195 3026 2.13      
5 A 3140 2974 13.70      
6 A 3078 2915 21.11      
7 A 1648 1561 42.57      
8 A 1565 1482 6.78      
9 A 1535 1454 5.64      
10 A 1514 1434 8.36      
11 A 1482 1403 44.78      
12 A 1446 1370 0.05      
13 A 1420 1345 1.07      
14 A 1297 1228 16.29      
15 A 1211 1147 3.02      
16 A 1155 1094 3.86      
17 A 1121 1061 28.19      
18 A 1072 1015 1.90      
19 A 1021 967 7.00      
20 A 981 929 1.60      
21 A 933 884 2.79      
22 A 872 826 8.08      
23 A 738 699 41.24      
24 A 700 663 4.02      
25 A 690 653 1.33      
26 A 655 620 18.31      
27 A 555 526 81.38      
28 A 344 326 5.25      
29 A 252 239 6.17      
30 A 15 14 0.26      

Unscaled Zero Point Vibrational Energy (zpe) 21957.4 cm-1
Scaled (by 0.947) Zero Point Vibrational Energy (zpe) 20793.6 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/6-31G*
ABC
0.29839 0.12057 0.08728

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.082 -0.033 0.002
H2 2.469 0.147 1.008
H3 2.456 -0.991 -0.350
H4 2.458 0.757 -0.657
N5 -0.170 1.025 -0.001
H6 0.146 1.957 -0.002
C7 0.609 -0.057 -0.001
N8 -0.134 -1.132 -0.002
C9 -1.401 -0.722 0.001
H10 -2.231 -1.362 0.002
C11 -1.439 0.640 0.001
H12 -2.275 1.270 0.003

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09281.08761.09432.48772.77611.47272.47383.55014.51303.58454.5473
H21.09281.77211.77242.95843.11302.12513.07114.09155.03754.06544.9773
H31.08761.77211.77443.32913.76182.09922.61763.88214.71494.23755.2554
H41.09431.77241.77442.72182.68662.12383.27354.18465.18763.95414.8064
N52.48772.95843.32912.72180.98381.33312.15712.13733.15381.32632.1193
H62.77613.11303.76182.68660.98382.06633.10133.09344.08222.06062.5164
C71.47272.12512.09922.12381.33312.06631.30722.11723.12582.16353.1746
N82.47383.07112.61763.27352.15713.10131.30721.33082.10922.20023.2170
C93.55014.09153.88214.18462.13733.09342.11721.33081.04821.36282.1754
H104.51305.03754.71495.18763.15384.08223.12582.10921.04822.15302.6322
C113.58454.06544.23753.95411.32632.06062.16352.20021.36282.15301.0466
H124.54734.97735.25544.80642.11932.51643.17463.21702.17542.63221.0466

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 124.826 C1 C7 N8 125.610
H2 C1 H3 108.719 H2 C1 H4 108.260
H2 C1 C7 110.986 H3 C1 H4 108.818
H3 C1 C7 109.219 H4 C1 C7 110.786
N5 C7 N8 109.564 N5 C11 C9 105.265
N5 C11 H12 126.127 H6 N5 C7 125.528
H6 N5 C11 125.590 C7 N5 C11 108.882
C7 N8 C9 106.753 N8 C9 H10 124.464
N8 C9 C11 109.535 C9 C11 H12 128.608
H10 C9 C11 126.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.550      
2 H 0.178      
3 H 0.210      
4 H 0.176      
5 N -0.642      
6 H 0.357      
7 C 0.466      
8 N -0.483      
9 C -0.059      
10 H 0.164      
11 C 0.001      
12 H 0.183      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.494 3.624 0.001 3.657
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.249 0.512 0.001
y 0.512 -33.522 -0.002
z 0.001 -0.002 -37.570
Traceless
 xyz
x 5.298 0.512 0.001
y 0.512 0.387 -0.002
z 0.001 -0.002 -5.685
Polar
3z2-r2-11.370
x2-y23.274
xy0.512
xz0.001
yz-0.002


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.576 0.144 0.004
y 0.144 7.854 -0.001
z 0.004 -0.001 4.035


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