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

using model chemistry: B3PW91/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/6-31G
 hartrees
Energy at 0K-265.358175
Energy at 298.15K-265.366104
Nuclear repulsion energy223.616491
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 B3PW91/6-31G
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 3702 3545 41.22      
2 A 3338 3197 4.23      
3 A 3313 3173 3.45      
4 A 3185 3050 3.35      
5 A 3113 2982 21.57      
6 A 3050 2921 32.57      
7 A 1610 1542 49.69      
8 A 1544 1478 1.36      
9 A 1530 1465 11.99      
10 A 1524 1460 5.31      
11 A 1460 1398 1.89      
12 A 1441 1380 30.86      
13 A 1401 1341 2.89      
14 A 1311 1256 21.39      
15 A 1191 1140 5.99      
16 A 1146 1097 6.10      
17 A 1128 1080 22.28      
18 A 1096 1050 5.28      
19 A 1022 978 9.10      
20 A 987 945 2.48      
21 A 947 907 2.73      
22 A 894 856 8.74      
23 A 762 729 40.99      
24 A 696 666 3.63      
25 A 690 661 1.24      
26 A 661 633 149.48      
27 A 648 620 2.49      
28 A 351 336 6.19      
29 A 256 246 6.78      
30 A 97 93 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 22045.0 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 21112.5 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 B3PW91/6-31G
ABC
0.29446 0.11868 0.08596

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.119 -0.024 0.000
H2 2.519 0.484 0.887
H3 2.488 -1.051 -0.001
H4 2.519 0.485 -0.886
N5 -0.170 1.059 0.000
H6 0.146 2.015 -0.001
C7 0.633 -0.065 -0.000
N8 -0.116 -1.166 -0.000
C9 -1.440 -0.733 -0.000
H10 -2.256 -1.436 0.000
C11 -1.494 0.641 0.000
H12 -2.319 1.334 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09721.09131.09722.53182.83701.48642.51033.62934.59763.67374.6405
H21.09721.77281.77342.88882.96032.15473.23294.23565.22224.11274.9908
H31.09131.77281.77283.39313.85772.10062.60693.94134.75994.32655.3654
H41.09721.77341.77282.88862.95922.15473.23334.23595.22264.11274.9907
N52.53182.88883.39312.88861.00641.38092.22552.19633.25231.38892.1663
H62.83702.96033.85772.95921.00642.13553.19133.17204.20412.13922.5565
C71.48642.15472.10062.15471.38092.13551.33232.17853.19842.24123.2662
N82.51033.23292.60693.23332.22553.19131.33231.39322.15692.27223.3314
C93.62934.23563.94134.23592.19633.17202.17851.39321.07721.37432.2451
H104.59765.22224.75995.22263.25234.20413.19842.15691.07722.21202.7702
C113.67374.11274.32654.11271.38892.13922.24122.27221.37432.21201.0769
H124.64054.99085.36544.99072.16632.55653.26623.33142.24512.77021.0769

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 123.975 C1 C7 N8 125.815
H2 C1 H3 108.202 H2 C1 H4 107.827
H2 C1 C7 112.143 H3 C1 H4 108.200
H3 C1 C7 108.185 H4 C1 C7 112.146
N5 C7 N8 110.210 N5 C11 C9 105.279
N5 C11 H12 122.427 H6 N5 C7 126.185
H6 N5 C11 125.782 C7 N5 C11 108.033
C7 N8 C9 106.107 N8 C9 H10 121.109
N8 C9 C11 110.371 C9 C11 H12 132.294
H10 C9 C11 128.520
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.529      
2 H 0.178      
3 H 0.212      
4 H 0.178      
5 N -0.727      
6 H 0.345      
7 C 0.431      
8 N -0.431      
9 C -0.095      
10 H 0.172      
11 C 0.078      
12 H 0.189      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.440 3.847 -0.001 3.872
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.719 0.605 -0.000
y 0.605 -34.095 -0.004
z -0.000 -0.004 -37.733
Traceless
 xyz
x 6.195 0.605 -0.000
y 0.605 -0.369 -0.004
z -0.000 -0.004 -5.826
Polar
3z2-r2-11.653
x2-y24.376
xy0.605
xz-0.000
yz-0.004


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


<r2> (average value of r2) Å2
<r2> 140.114
(<r2>)1/2 11.837