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

using model chemistry: B3LYP/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 B3LYP/3-21G*
 hartrees
Energy at 0K-264.069352
Energy at 298.15K-264.077263
Nuclear repulsion energy222.996595
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/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 3584 3448 40.57      
2 A 3314 3188 3.08      
3 A 3289 3164 3.11      
4 A 3161 3041 2.71      
5 A 3089 2972 18.67      
6 A 3046 2930 24.62      
7 A 1572 1512 41.86      
8 A 1557 1498 9.65      
9 A 1551 1492 3.08      
10 A 1491 1434 5.06      
11 A 1462 1406 4.61      
12 A 1404 1351 13.40      
13 A 1356 1305 4.99      
14 A 1279 1230 26.77      
15 A 1159 1115 6.41      
16 A 1103 1061 11.86      
17 A 1103 1061 5.81      
18 A 1096 1054 8.93      
19 A 1011 972 11.78      
20 A 976 939 3.47      
21 A 944 908 3.21      
22 A 908 873 5.53      
23 A 769 740 43.06      
24 A 701 675 5.42      
25 A 673 648 1.27      
26 A 656 631 18.22      
27 A 643 618 113.72      
28 A 334 321 5.31      
29 A 256 246 6.55      
30 A 115 111 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 21799.5 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 20971.1 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/3-21G*
ABC
0.29332 0.11788 0.08544

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.128 -0.024 -0.000
H2 2.517 0.487 0.890
H3 2.493 -1.052 -0.001
H4 2.517 0.489 -0.889
N5 -0.167 1.062 0.000
H6 0.149 2.024 -0.000
C7 0.634 -0.070 -0.000
N8 -0.116 -1.170 0.000
C9 -1.448 -0.730 -0.000
H10 -2.267 -1.427 0.000
C11 -1.498 0.641 -0.000
H12 -2.322 1.332 -0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09711.09131.09712.53862.84731.49502.52023.64544.61403.68704.6525
H21.09711.77831.77852.88532.95972.15613.23604.24225.22944.11584.9927
H31.09131.77831.77833.39773.86712.10282.61253.95474.77554.33625.3737
H41.09711.77851.77832.88472.95842.15613.23664.24255.22984.11554.9922
N52.53862.88533.39772.88471.01241.38662.23232.20313.25701.39642.1726
H62.84732.95973.86712.95841.01242.14933.20463.18374.21292.15062.5667
C71.49502.15612.10282.15611.38662.14931.33112.18413.20282.24793.2720
N82.52023.23602.61253.23662.23233.20461.33111.40252.16622.27843.3356
C93.64544.24223.95474.24252.20313.18372.18411.40251.07551.37272.2399
H104.61405.22944.77555.22983.25704.21293.20282.16621.07552.20702.7598
C113.68704.11584.33624.11551.39642.15062.24792.27841.37272.20701.0751
H124.65254.99275.37374.99222.17262.56673.27203.33562.23992.75981.0751

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 123.479 C1 C7 N8 126.092
H2 C1 H3 108.701 H2 C1 H4 108.293
H2 C1 C7 111.649 H3 C1 H4 108.701
H3 C1 C7 107.771 H4 C1 C7 111.649
N5 C7 N8 110.430 N5 C11 C9 105.422
N5 C11 H12 122.522 H6 N5 C7 126.546
H6 N5 C11 125.706 C7 N5 C11 107.748
C7 N8 C9 106.035 N8 C9 H10 121.334
N8 C9 C11 110.365 C9 C11 H12 132.056
H10 C9 C11 128.301
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.620      
2 H 0.206      
3 H 0.239      
4 H 0.206      
5 N -0.724      
6 H 0.321      
7 C 0.541      
8 N -0.527      
9 C -0.071      
10 H 0.189      
11 C 0.038      
12 H 0.203      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.484 3.667 -0.000 3.699
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.059 0.540 0.000
y 0.540 -33.754 -0.001
z 0.000 -0.001 -37.959
Traceless
 xyz
x 5.798 0.540 0.000
y 0.540 0.255 -0.001
z 0.000 -0.001 -6.053
Polar
3z2-r2-12.107
x2-y23.695
xy0.540
xz0.000
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.289 0.181 0.001
y 0.181 7.341 -0.001
z 0.001 -0.001 3.314


<r2> (average value of r2) Å2
<r2> 140.806
(<r2>)1/2 11.866