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

using model chemistry: B97D3/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B97D3/6-311+G(3df,2p)
 hartrees
Energy at 0K-265.458793
Energy at 298.15K-265.466395
HF Energy-265.458793
Nuclear repulsion energy224.341038
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 B97D3/6-311+G(3df,2p)
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 3591 3544 27.37      
2 A 3214 3172 5.21      
3 A 3184 3143 5.79      
4 A 3087 3047 5.22      
5 A 3015 2976 20.98      
6 A 2969 2930 40.72      
7 A 1549 1529 33.48      
8 A 1481 1462 2.03      
9 A 1460 1441 5.66      
10 A 1456 1437 6.64      
11 A 1396 1378 35.43      
12 A 1384 1366 1.97      
13 A 1346 1328 1.21      
14 A 1245 1229 15.55      
15 A 1153 1138 5.08      
16 A 1111 1096 2.12      
17 A 1073 1059 21.84      
18 A 1037 1024 0.52      
19 A 984 972 9.56      
20 A 943 931 2.70      
21 A 916 904 2.79      
22 A 831 820 9.84      
23 A 701 692 48.15      
24 A 672 663 0.65      
25 A 670 661 9.20      
26 A 626 618 10.35      
27 A 502 495 61.81      
28 A 341 337 4.99      
29 A 240 237 6.00      
30 A 53 52 0.35      

Unscaled Zero Point Vibrational Energy (zpe) 21114.4 cm-1
Scaled (by 0.987) Zero Point Vibrational Energy (zpe) 20839.9 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 B97D3/6-311+G(3df,2p)
ABC
0.29650 0.11938 0.08649

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-311+G(3df,2p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.116 -0.025 -0.000
H2 2.507 0.489 0.886
H3 2.496 -1.047 -0.001
H4 2.507 0.491 -0.885
N5 -0.165 1.052 0.000
H6 0.157 2.008 0.000
C7 0.626 -0.072 -0.000
N8 -0.123 -1.161 -0.000
C9 -1.435 -0.729 0.000
H10 -2.260 -1.428 0.000
C11 -1.488 0.643 -0.000
H12 -2.305 1.349 -0.001

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09671.09071.09672.52212.82301.49072.51043.61964.59443.66484.6290
H21.09671.77421.77142.87052.93492.15373.22874.21965.21314.09464.9676
H31.09071.77421.77423.38953.84782.10982.62173.94414.77104.32785.3657
H41.09671.77141.77422.87002.93382.15373.22944.22005.21374.09414.9669
N52.52212.87053.38952.87001.00851.37372.21352.18683.24561.38432.1604
H62.82302.93493.84782.93381.00852.13143.18133.16544.19992.13672.5483
C71.49072.15372.10982.15371.37372.13141.32222.16283.18802.23103.2565
N82.51043.22872.62173.22942.21353.18131.32221.38152.15312.26253.3257
C93.61964.21963.94414.22002.18683.16542.16281.38151.08101.37282.2518
H104.59445.21314.77105.21373.24564.19993.18802.15311.08102.21002.7764
C113.66484.09464.32784.09411.38432.13672.23102.26251.37282.21001.0794
H124.62904.96765.36574.96692.16042.54833.25653.32572.25182.77641.0794

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 123.643 C1 C7 N8 126.380
H2 C1 H3 108.391 H2 C1 H4 107.803
H2 C1 C7 111.799 H3 C1 H4 108.393
H3 C1 C7 108.547 H4 C1 C7 111.801
N5 C7 N8 109.977 N5 C11 C9 104.925
N5 C11 H12 122.241 H6 N5 C7 125.960
H6 N5 C11 125.751 C7 N5 C11 108.289
C7 N8 C9 106.544 N8 C9 H10 121.646
N8 C9 C11 110.265 C9 C11 H12 132.834
H10 C9 C11 128.089
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.224      
2 H 0.129      
3 H 0.133      
4 H 0.129      
5 N -0.743      
6 H 0.151      
7 C 0.657      
8 N -0.906      
9 C 0.240      
10 H 0.127      
11 C 0.167      
12 H 0.139      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.613 3.491 0.000 3.545
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.208 0.641 0.000
y 0.641 -34.764 -0.001
z 0.000 -0.001 -38.187
Traceless
 xyz
x 5.267 0.641 0.000
y 0.641 -0.067 -0.001
z 0.000 -0.001 -5.201
Polar
3z2-r2-10.401
x2-y23.556
xy0.641
xz0.000
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.041 -0.074 0.000
y -0.074 9.858 -0.000
z 0.000 -0.000 6.611


<r2> (average value of r2) Å2
<r2> 139.980
(<r2>)1/2 11.831