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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-265.219778
Energy at 298.15K-265.227380
Nuclear repulsion energy223.565199
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 3573 3524 27.38      
2 A 3220 3176 3.76      
3 A 3188 3144 6.69      
4 A 3103 3061 3.02      
5 A 3033 2991 17.69      
6 A 2976 2935 33.86      
7 A 1555 1534 33.34      
8 A 1490 1470 4.25      
9 A 1460 1440 1.42      
10 A 1448 1428 7.73      
11 A 1404 1385 37.54      
12 A 1381 1362 0.17      
13 A 1358 1340 1.13      
14 A 1247 1230 14.41      
15 A 1169 1153 2.48      
16 A 1108 1093 5.01      
17 A 1081 1066 21.65      
18 A 1023 1009 1.95      
19 A 976 962 9.10      
20 A 937 924 0.52      
21 A 895 883 3.39      
22 A 812 801 11.29      
23 A 692 682 30.46      
24 A 666 657 1.30      
25 A 664 655 5.02      
26 A 624 615 17.98      
27 A 501 494 64.60      
28 A 337 332 4.99      
29 A 242 238 5.27      
30 A 85 83 0.18      

Unscaled Zero Point Vibrational Energy (zpe) 21121.7 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 20832.3 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
0.29274 0.11907 0.08603

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 2.118 -0.021 0.000
H2 2.520 0.491 0.892
H3 2.493 -1.054 -0.001
H4 2.520 0.493 -0.891
N5 -0.170 1.057 0.000
H6 0.152 2.021 -0.001
C7 0.625 -0.069 -0.000
N8 -0.120 -1.171 -0.000
C9 -1.431 -0.733 0.000
H10 -2.262 -1.438 0.000
C11 -1.492 0.645 0.000
H12 -2.317 1.353 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.10421.09841.10422.52962.83521.49472.51633.62064.60393.67124.6434
H21.10421.78451.78262.88982.95732.16863.24464.23205.23314.11274.9935
H31.09841.78451.78453.39843.86492.11242.61593.93804.77104.33235.3788
H41.10421.78261.78452.88922.95552.16863.24534.23245.23384.11254.9932
N52.52962.88983.39842.88921.01621.37842.22902.19083.25661.38502.1676
H62.83522.95733.86492.95551.01622.14323.20403.17764.21852.14402.5581
C71.49472.16862.11242.16861.37842.14321.32982.16073.19472.23363.2672
N82.51633.24462.61593.24532.22903.20401.32981.38272.15882.27623.3462
C93.62064.23203.93804.23242.19083.17762.16071.38271.08921.37992.2663
H104.60395.23314.77105.23383.25664.21853.19472.15881.08922.22102.7913
C113.67124.11274.33234.11251.38502.14402.23362.27621.37992.22101.0870
H124.64344.99355.37884.99322.16762.55813.26723.34622.26632.79131.0870

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 123.344 C1 C7 N8 125.877
H2 C1 H3 108.220 H2 C1 H4 107.648
H2 C1 C7 112.241 H3 C1 H4 108.221
H3 C1 C7 108.127 H4 C1 C7 112.243
N5 C7 N8 110.778 N5 C11 C9 104.813
N5 C11 H12 122.071 H6 N5 C7 126.356
H6 N5 C11 125.781 C7 N5 C11 107.863
C7 N8 C9 105.590 N8 C9 H10 121.241
N8 C9 C11 110.957 C9 C11 H12 133.117
H10 C9 C11 127.802
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 -0.437      
2 H 0.137      
3 H 0.166      
4 H 0.136      
5 N -0.500      
6 H 0.261      
7 C 0.434      
8 N -0.451      
9 C -0.003      
10 H 0.096      
11 C 0.050      
12 H 0.112      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.537 3.496 -0.001 3.537
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.406 0.498 -0.001
y 0.498 -33.388 -0.003
z -0.001 -0.003 -37.275
Traceless
 xyz
x 4.925 0.498 -0.001
y 0.498 0.452 -0.003
z -0.001 -0.003 -5.378
Polar
3z2-r2-10.755
x2-y22.982
xy0.498
xz-0.001
yz-0.003


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.389 0.119 0.000
y 0.119 8.235 -0.000
z 0.000 -0.000 4.163


<r2> (average value of r2) Å2
<r2> 140.037
(<r2>)1/2 11.834