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

using model chemistry: PBEPBE/6-311G**

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/6-311G**
 hartrees
Energy at 0K-265.278781
Energy at 298.15K-265.286419
Nuclear repulsion energy223.889825
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/6-311G**
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 3560 3528 29.31      
2 A 3201 3172 4.19      
3 A 3171 3142 6.09      
4 A 3084 3056 3.69      
5 A 3014 2987 19.58      
6 A 2963 2936 35.79      
7 A 1547 1533 37.30      
8 A 1476 1462 3.10      
9 A 1448 1435 1.84      
10 A 1434 1421 8.64      
11 A 1392 1379 38.21      
12 A 1368 1356 0.53      
13 A 1346 1333 0.50      
14 A 1240 1229 14.27      
15 A 1161 1150 3.37      
16 A 1102 1092 5.22      
17 A 1075 1065 23.76      
18 A 1020 1011 1.24      
19 A 974 966 10.16      
20 A 934 926 1.26      
21 A 900 892 3.42      
22 A 819 811 12.07      
23 A 694 688 40.42      
24 A 669 662 8.17      
25 A 667 661 1.13      
26 A 627 621 15.80      
27 A 521 516 62.03      
28 A 337 334 4.99      
29 A 241 239 5.39      
30 A 79 78 0.16      

Unscaled Zero Point Vibrational Energy (zpe) 21031.1 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 20839.7 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/6-311G**
ABC
0.29406 0.11929 0.08625

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.117 -0.022 0.000
H2 2.516 0.489 0.892
H3 2.490 -1.053 -0.002
H4 2.516 0.493 -0.889
N5 -0.170 1.056 0.000
H6 0.148 2.020 -0.000
C7 0.624 -0.068 -0.000
N8 -0.119 -1.166 -0.000
C9 -1.430 -0.734 0.000
H10 -2.257 -1.439 0.000
C11 -1.491 0.642 0.000
H12 -2.317 1.347 -0.001

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.10271.09671.10272.52822.83661.49312.51143.61724.59783.66854.6403
H21.10271.78291.78152.88642.95752.16423.23684.22585.22434.10774.9889
H31.09671.78291.78293.39483.86402.10982.61113.93274.76284.32715.3729
H41.10271.78151.78292.88532.95502.16433.23844.22695.22594.10774.9880
N52.52822.88643.39482.88531.01531.37632.22302.18843.25281.38412.1665
H62.83662.95753.86402.95501.01532.14173.19773.17374.21322.14112.5553
C71.49312.16422.10982.16431.37632.14171.32622.15933.19122.23153.2640
N82.51143.23682.61113.23842.22303.19771.32621.38072.15592.27063.3392
C93.61724.22583.93274.22692.18843.17372.15931.38071.08741.37752.2618
H104.59785.22434.76285.22593.25284.21323.19122.15591.08742.21812.7867
C113.66854.10774.32714.10771.38412.14112.23152.27061.37752.21811.0856
H124.64034.98895.37294.98802.16652.55533.26403.33922.26182.78671.0856

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 123.494 C1 C7 N8 125.837
H2 C1 H3 108.310 H2 C1 H4 107.764
H2 C1 C7 112.095 H3 C1 H4 108.314
H3 C1 C7 108.128 H4 C1 C7 112.105
N5 C7 N8 110.669 N5 C11 C9 104.831
N5 C11 H12 122.159 H6 N5 C7 126.482
H6 N5 C11 125.640 C7 N5 C11 107.878
C7 N8 C9 105.803 N8 C9 H10 121.281
N8 C9 C11 110.819 C9 C11 H12 133.010
H10 C9 C11 127.900
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.322      
2 H 0.134      
3 H 0.152      
4 H 0.134      
5 N -0.360      
6 H 0.220      
7 C 0.234      
8 N -0.308      
9 C -0.095      
10 H 0.097      
11 C 0.011      
12 H 0.104      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.535 3.513 -0.001 3.553
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.009 0.552 0.002
y 0.552 -33.995 -0.003
z 0.002 -0.003 -37.940
Traceless
 xyz
x 4.958 0.552 0.002
y 0.552 0.479 -0.003
z 0.002 -0.003 -5.438
Polar
3z2-r2-10.875
x2-y22.986
xy0.552
xz0.002
yz-0.003


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.922 0.056 -0.000
y 0.056 8.659 0.000
z -0.000 0.000 4.923


<r2> (average value of r2) Å2
<r2> 140.118
(<r2>)1/2 11.837