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

using model chemistry: B3LYP/CEP-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 B3LYP/CEP-31G
 hartrees
Energy at 0K-45.928062
Energy at 298.15K-45.935866
Nuclear repulsion energy115.743331
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/CEP-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 3671 3555 35.37      
2 A 3300 3195 7.09      
3 A 3271 3167 3.30      
4 A 3167 3067 14.81      
5 A 3103 3005 45.34      
6 A 3038 2942 48.06      
7 A 1571 1521 43.10      
8 A 1514 1466 2.77      
9 A 1499 1451 16.10      
10 A 1496 1449 7.99      
11 A 1433 1388 1.44      
12 A 1395 1351 29.99      
13 A 1357 1315 2.78      
14 A 1275 1235 25.64      
15 A 1165 1128 9.10      
16 A 1110 1075 4.90      
17 A 1102 1067 26.68      
18 A 1072 1038 3.47      
19 A 993 961 11.19      
20 A 959 929 4.06      
21 A 915 886 2.90      
22 A 884 857 12.33      
23 A 762 738 88.85      
24 A 680 658 0.13      
25 A 668 647 1.74      
26 A 643 623 125.12      
27 A 625 605 6.86      
28 A 338 327 6.03      
29 A 254 246 8.48      
30 A 89 86 0.26      

Unscaled Zero Point Vibrational Energy (zpe) 21672.8 cm-1
Scaled (by 0.9684) Zero Point Vibrational Energy (zpe) 20988.0 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/CEP-31G
ABC
0.28534 0.11524 0.08340

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.124 -0.044 0.000
H2 2.520 0.469 0.895
H3 2.498 -1.079 -0.000
H4 2.520 0.470 -0.895
N5 -0.199 1.057 0.000
H6 0.121 2.021 -0.001
C7 0.609 -0.089 -0.000
N8 -0.152 -1.203 -0.000
C9 -1.493 -0.761 -0.000
H10 -2.315 -1.469 0.000
C11 -1.545 0.639 0.000
H12 -2.373 1.340 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.10531.09961.10532.57122.87761.51652.55423.68754.66233.73274.7056
H21.10531.78861.79002.92202.99442.18323.27684.29145.28514.16595.0496
H31.09961.78861.78863.44003.90632.13282.65254.00324.82864.39285.4382
H41.10531.79001.78862.92202.99352.18323.27704.29175.28554.16605.0497
N52.57122.92203.44002.92201.01571.40192.26082.23153.29491.40982.1924
H62.87762.99443.90632.99351.01572.16573.23593.21624.25572.16482.5852
C71.51652.18322.13282.18321.40192.16571.34902.20623.23282.27353.3062
N82.55423.27682.65253.27702.26083.23591.34901.41202.17942.30983.3765
C93.68754.29144.00324.29172.23153.21622.20621.41201.08481.40092.2778
H104.66235.28514.82865.28553.29494.25573.23282.17941.08482.24372.8089
C113.73274.16594.39284.16601.40982.16482.27352.30981.40092.24371.0846
H124.70565.04965.43825.04972.19242.58523.30623.37652.27782.80891.0846

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 123.487 C1 C7 N8 125.992
H2 C1 H3 108.419 H2 C1 H4 108.134
H2 C1 C7 111.798 H3 C1 H4 108.417
H3 C1 C7 108.168 H4 C1 C7 111.800
N5 C7 N8 110.521 N5 C11 C9 105.104
N5 C11 H12 122.494 H6 N5 C7 126.485
H6 N5 C11 125.597 C7 N5 C11 107.918
C7 N8 C9 106.057 N8 C9 H10 121.039
N8 C9 C11 110.400 C9 C11 H12 132.402
H10 C9 C11 128.562
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.352      
2 H 0.144      
3 H 0.189      
4 H 0.144      
5 N -0.071      
6 H 0.320      
7 C -0.561      
8 N 0.203      
9 C -0.311      
10 H 0.298      
11 C -0.302      
12 H 0.301      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.486 3.999 -0.001 4.028
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.861 0.567 -0.001
y 0.567 -34.864 -0.005
z -0.001 -0.005 -38.281
Traceless
 xyz
x 6.712 0.567 -0.001
y 0.567 -0.793 -0.005
z -0.001 -0.005 -5.919
Polar
3z2-r2-11.837
x2-y25.003
xy0.567
xz-0.001
yz-0.005


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.923 0.107 -0.000
y 0.107 8.322 -0.001
z -0.000 -0.001 4.456


<r2> (average value of r2) Å2
<r2> 117.759
(<r2>)1/2 10.852