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

using model chemistry: PBEPBE/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 PBEPBE/6-31G*
 hartrees
Energy at 0K-265.209148
Energy at 298.15K-265.216730
Nuclear repulsion energy223.499803
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 PBEPBE/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 3549 3499 23.40      
2 A 3220 3174 4.99      
3 A 3189 3143 7.53      
4 A 3100 3056 3.40      
5 A 3029 2985 18.87      
6 A 2976 2933 35.35      
7 A 1559 1536 33.48      
8 A 1495 1474 2.61      
9 A 1471 1450 2.11      
10 A 1466 1445 8.26      
11 A 1410 1390 38.33      
12 A 1391 1371 0.33      
13 A 1368 1348 1.01      
14 A 1252 1234 14.43      
15 A 1172 1156 2.33      
16 A 1112 1096 6.06      
17 A 1084 1069 20.49      
18 A 1035 1020 2.11      
19 A 980 966 9.34      
20 A 942 928 0.62      
21 A 896 883 3.44      
22 A 806 794 13.10      
23 A 688 678 26.85      
24 A 666 657 1.38      
25 A 663 653 8.52      
26 A 624 615 19.68      
27 A 492 485 66.76      
28 A 337 332 4.91      
29 A 241 238 5.48      
30 A 86 85 0.20      

Unscaled Zero Point Vibrational Energy (zpe) 21148.9 cm-1
Scaled (by 0.9857) Zero Point Vibrational Energy (zpe) 20846.5 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 PBEPBE/6-31G*
ABC
0.29263 0.11899 0.08598

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.119 -0.021 0.000
H2 2.522 0.492 0.893
H3 2.496 -1.055 -0.001
H4 2.522 0.493 -0.892
N5 -0.170 1.057 0.000
H6 0.152 2.023 -0.001
C7 0.625 -0.069 -0.000
N8 -0.120 -1.171 -0.000
C9 -1.432 -0.733 0.000
H10 -2.262 -1.440 0.000
C11 -1.492 0.645 0.000
H12 -2.317 1.355 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.10561.09981.10562.53032.83671.49532.51753.62164.60483.67244.6446
H21.10561.78601.78442.89202.95972.17083.24724.23445.23574.11524.9958
H31.09981.78601.78603.40083.86812.11482.61893.94084.77314.33535.3822
H41.10561.78441.78602.89142.95792.17083.24794.23485.23634.11504.9954
N52.53032.89203.40082.89141.01791.37862.22892.19063.25781.38502.1676
H62.83672.95973.86812.95791.01792.14483.20553.17904.22132.14522.5578
C71.49532.17082.11482.17081.37862.14481.33002.16093.19522.23423.2682
N82.51753.24722.61893.24792.22893.20551.33001.38252.15802.27623.3475
C93.62164.23443.94084.23482.19063.17902.16091.38251.09011.38002.2682
H104.60485.23574.77315.23633.25784.22133.19522.15801.09012.22302.7958
C113.67244.11524.33534.11501.38502.14522.23422.27621.38002.22301.0880
H124.64464.99585.38224.99542.16762.55783.26823.34752.26822.79581.0880

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 123.346 C1 C7 N8 125.913
H2 C1 H3 108.159 H2 C1 H4 107.606
H2 C1 C7 112.287 H3 C1 H4 108.161
H3 C1 C7 108.189 H4 C1 C7 112.289
N5 C7 N8 110.741 N5 C11 C9 104.792
N5 C11 H12 121.984 H6 N5 C7 126.362
H6 N5 C11 125.750 C7 N5 C11 107.888
C7 N8 C9 105.611 N8 C9 H10 121.118
N8 C9 C11 110.967 C9 C11 H12 133.225
H10 C9 C11 127.915
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.578      
2 H 0.174      
3 H 0.205      
4 H 0.174      
5 N -0.570      
6 H 0.326      
7 C 0.468      
8 N -0.443      
9 C -0.054      
10 H 0.138      
11 C 0.009      
12 H 0.153      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.514 3.509 -0.001 3.547
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.442 0.489 -0.001
y 0.489 -33.329 -0.003
z -0.001 -0.003 -37.321
Traceless
 xyz
x 4.883 0.489 -0.001
y 0.489 0.553 -0.003
z -0.001 -0.003 -5.436
Polar
3z2-r2-10.871
x2-y22.886
xy0.489
xz-0.001
yz-0.003


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.306 0.119 0.000
y 0.119 8.168 -0.000
z 0.000 -0.000 4.107


<r2> (average value of r2) Å2
<r2> 140.127
(<r2>)1/2 11.838