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

using model chemistry: B3LYP/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 B3LYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-265.634864
Energy at 298.15K-265.642642
Nuclear repulsion energy225.299259
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 B3LYP/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 3652 3532 46.22      
2 A 3268 3160 1.94      
3 A 3239 3133 4.09      
4 A 3131 3028 3.45      
5 A 3064 2963 16.64      
6 A 3021 2921 30.75      
7 A 1593 1540 35.42      
8 A 1517 1467 4.35      
9 A 1494 1445 6.61      
10 A 1488 1439 7.24      
11 A 1438 1390 40.74      
12 A 1418 1372 0.45      
13 A 1383 1337 1.94      
14 A 1274 1232 15.06      
15 A 1176 1137 6.24      
16 A 1138 1101 1.54      
17 A 1098 1062 25.66      
18 A 1065 1030 0.79      
19 A 1009 976 9.31      
20 A 968 936 2.74      
21 A 931 900 2.30      
22 A 876 847 7.49      
23 A 736 712 53.46      
24 A 693 670 5.97      
25 A 678 656 0.70      
26 A 644 623 10.01      
27 A 528 510 68.49      
28 A 350 338 5.35      
29 A 254 245 6.38      
30 A 75 72 0.36      

Unscaled Zero Point Vibrational Energy (zpe) 21598.2 cm-1
Scaled (by 0.967) Zero Point Vibrational Energy (zpe) 20885.5 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 B3LYP/6-311+G(3df,2p)
ABC
0.29954 0.12023 0.08719

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311+G(3df,2p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.109 -0.025 0.000
H2 2.500 0.486 0.883
H3 2.488 -1.044 -0.001
H4 2.500 0.488 -0.882
N5 -0.166 1.048 0.000
H6 0.155 2.001 -0.001
C7 0.620 -0.070 -0.000
N8 -0.121 -1.154 -0.000
C9 -1.428 -0.725 0.000
H10 -2.249 -1.422 0.000
C11 -1.482 0.637 0.000
H12 -2.302 1.334 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09231.08681.09232.51592.81521.48972.49963.60654.57683.65244.6156
H21.09231.76681.76492.86402.92832.14963.21504.20445.19334.08174.9549
H31.08681.76681.76683.37953.83602.10622.61093.92944.75204.31175.3472
H41.09231.76491.76682.86332.92652.14973.21574.20485.19394.08144.9545
N52.51592.86403.37952.86331.00561.36732.20312.17713.23161.37902.1546
H62.81522.92833.83602.92651.00562.12313.16763.15314.18352.13102.5458
C71.48972.14962.10622.14971.36732.12311.31322.15103.17202.21873.2418
N82.49963.21502.61093.21572.20313.16761.31321.37642.14512.25063.3087
C93.60654.20443.92944.20482.17713.15312.15101.37641.07661.36392.2366
H104.57685.19334.75205.19393.23164.18353.17202.14511.07662.19792.7567
C113.65244.08174.31174.08141.37902.13102.21872.25061.36392.19791.0751
H124.61564.95495.34724.95452.15462.54583.24183.30872.23662.75671.0751

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 123.377 C1 C7 N8 126.085
H2 C1 H3 108.347 H2 C1 H4 107.778
H2 C1 C7 111.800 H3 C1 H4 108.348
H3 C1 C7 108.654 H4 C1 C7 111.803
N5 C7 N8 110.538 N5 C11 C9 105.065
N5 C11 H12 122.306 H6 N5 C7 126.266
H6 N5 C11 125.956 C7 N5 C11 107.778
C7 N8 C9 106.192 N8 C9 H10 121.489
N8 C9 C11 110.427 C9 C11 H12 132.629
H10 C9 C11 128.084
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.328      
2 H 0.157      
3 H 0.163      
4 H 0.157      
5 N -0.798      
6 H 0.190      
7 C 0.709      
8 N -0.939      
9 C 0.198      
10 H 0.163      
11 C 0.155      
12 H 0.173      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.601 3.554 -0.001 3.605
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.533 -0.039 0.000
y -0.039 9.517 -0.000
z 0.000 -0.000 6.445


<r2> (average value of r2) Å2
<r2> 139.150
(<r2>)1/2 11.796