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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-265.209161
Energy at 298.15K-265.216749
Nuclear repulsion energy223.500095
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 PBEPBEultrafine/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 3550 3491 23.42      
2 A 3219 3166 4.99      
3 A 3188 3136 7.52      
4 A 3100 3049 3.43      
5 A 3029 2979 18.88      
6 A 2976 2927 35.36      
7 A 1559 1533 33.50      
8 A 1495 1470 2.56      
9 A 1471 1447 2.12      
10 A 1466 1442 8.27      
11 A 1411 1387 38.28      
12 A 1392 1369 0.35      
13 A 1368 1346 1.01      
14 A 1253 1232 14.43      
15 A 1173 1153 2.32      
16 A 1112 1094 6.31      
17 A 1085 1067 20.25      
18 A 1035 1018 2.10      
19 A 981 965 9.37      
20 A 942 927 0.62      
21 A 896 882 3.45      
22 A 806 792 13.08      
23 A 688 677 26.91      
24 A 667 656 1.38      
25 A 662 652 8.61      
26 A 624 614 19.63      
27 A 492 484 66.63      
28 A 338 332 4.91      
29 A 242 238 5.51      
30 A 88 86 0.21      

Unscaled Zero Point Vibrational Energy (zpe) 21153.2 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 20804.2 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 PBEPBEultrafine/6-31G*
ABC
0.29262 0.11899 0.08598

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/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 0.491 0.893
H3 2.496 -1.054 -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 -0.121 -1.171 -0.000
C9 -1.432 -0.733 0.000
H10 -2.262 -1.440 0.000
C11 -1.492 0.646 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
C11.10561.09981.10562.53012.83641.49532.51753.62164.60493.67224.6445
H21.10561.78591.78442.89192.95952.17083.24734.23455.23584.11524.9957
H31.09981.78591.78593.40083.86802.11492.61923.94104.77344.33545.3823
H41.10561.78441.78592.89132.95772.17093.24804.23495.23644.11504.9954
N52.53012.89193.40082.89131.01791.37852.22892.19073.25781.38502.1676
H62.83642.95953.86802.95771.01792.14483.20553.17904.22142.14512.5579
C71.49532.17082.11492.17091.37852.14481.33002.16093.19522.23423.2682
N82.51753.24732.61923.24802.22893.20551.33001.38252.15802.27623.3475
C93.62164.23453.94104.23492.19073.17902.16091.38251.09011.38012.2683
H104.60495.23584.77345.23643.25784.22143.19522.15801.09012.22312.7959
C113.67224.11524.33544.11501.38502.14512.23422.27621.38012.22311.0880
H124.64454.99575.38234.99542.16762.55793.26823.34752.26832.79591.0880

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 123.335 C1 C7 N8 125.920
H2 C1 H3 108.148 H2 C1 H4 107.605
H2 C1 C7 112.294 H3 C1 H4 108.149
H3 C1 C7 108.198 H4 C1 C7 112.296
N5 C7 N8 110.745 N5 C11 C9 104.791
N5 C11 H12 121.989 H6 N5 C7 126.364
H6 N5 C11 125.747 C7 N5 C11 107.889
C7 N8 C9 105.610 N8 C9 H10 121.117
N8 C9 C11 110.965 C9 C11 H12 133.220
H10 C9 C11 127.918
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.579      
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 3.510 -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 -37.322
Traceless
 xyz
x 4.884 0.489 -0.001
y 0.489 0.552 -0.003
z -0.001 -0.003 -5.436
Polar
3z2-r2-10.872
x2-y22.887
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> 140.126
(<r2>)1/2 11.837