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

using model chemistry: LSDA/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at LSDA/6-31+G**
 hartrees
Energy at 0K-264.104153
Energy at 298.15K-264.111807
Nuclear repulsion energy225.390520
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 LSDA/6-31+G**
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 3566 3513 44.79      
2 A 3218 3170 0.44      
3 A 3188 3140 3.47      
4 A 3102 3056 0.41      
5 A 3042 2996 7.97      
6 A 2976 2932 25.84      
7 A 1587 1563 45.23      
8 A 1506 1484 3.34      
9 A 1463 1442 11.66      
10 A 1415 1393 12.90      
11 A 1401 1380 3.14      
12 A 1393 1372 36.26      
13 A 1347 1327 1.02      
14 A 1266 1247 15.60      
15 A 1192 1174 3.18      
16 A 1112 1095 13.18      
17 A 1083 1067 26.67      
18 A 1010 995 2.30      
19 A 979 964 7.94      
20 A 930 916 0.55      
21 A 904 890 3.24      
22 A 830 817 10.74      
23 A 696 686 49.54      
24 A 682 672 0.67      
25 A 674 664 13.10      
26 A 631 621 17.22      
27 A 545 537 68.69      
28 A 340 335 5.88      
29 A 244 240 6.46      
30 A 72 71 0.27      

Unscaled Zero Point Vibrational Energy (zpe) 21195.8 cm-1
Scaled (by 0.985) Zero Point Vibrational Energy (zpe) 20877.9 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 LSDA/6-31+G**
ABC
0.29780 0.12120 0.08758

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31+G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.097 -0.024 0.000
H2 2.503 0.483 0.894
H3 2.466 -1.061 -0.001
H4 2.503 0.485 -0.892
N5 -0.166 1.047 -0.000
H6 0.161 2.012 -0.001
C7 0.623 -0.067 -0.000
N8 -0.122 -1.156 -0.000
C9 -1.420 -0.729 0.000
H10 -2.253 -1.434 0.000
C11 -1.476 0.642 0.000
H12 -2.305 1.348 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.10481.10011.10482.50332.80971.47482.49093.58704.57223.63434.6110
H21.10481.78441.78592.87052.93672.15353.22124.20255.20484.08124.9667
H31.10011.78441.78443.37153.84112.09382.58973.90004.73304.29375.3445
H41.10481.78591.78442.86992.93492.15353.22204.20295.20554.08104.9663
N52.50332.87053.37152.86991.01921.36482.20322.17473.24221.37122.1606
H62.80972.93673.84112.93491.01922.13003.18073.16514.20782.13472.5545
C71.47482.15352.09382.15351.36482.13001.31912.14753.18372.21513.2519
N82.49093.22122.58973.22202.20323.18071.31911.36622.14842.25063.3217
C93.58704.20253.90004.20292.17473.16512.14751.36621.09071.37282.2579
H104.57225.20484.73305.20553.24224.20783.18372.14841.09072.21712.7827
C113.63434.08124.29374.08101.37122.13472.21512.25061.37282.21711.0890
H124.61104.96675.34454.96632.16062.55453.25193.32172.25792.78271.0890

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 123.622 C1 C7 N8 126.044
H2 C1 H3 108.051 H2 C1 H4 107.844
H2 C1 C7 112.398 H3 C1 H4 108.053
H3 C1 C7 107.928 H4 C1 C7 112.401
N5 C7 N8 110.334 N5 C11 C9 104.844
N5 C11 H12 122.448 H6 N5 C7 126.004
H6 N5 C11 125.878 C7 N5 C11 108.118
C7 N8 C9 106.196 N8 C9 H10 121.550
N8 C9 C11 110.508 C9 C11 H12 132.708
H10 C9 C11 127.941
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.886      
2 H 0.200      
3 H 0.226      
4 H 0.200      
5 N -0.366      
6 H 0.318      
7 C 0.449      
8 N -0.272      
9 C -0.096      
10 H 0.155      
11 C -0.099      
12 H 0.171      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.611 3.723 -0.001 3.773
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.980 0.681 -0.001
y 0.681 -34.689 -0.003
z -0.001 -0.003 -38.676
Traceless
 xyz
x 5.702 0.681 -0.001
y 0.681 0.139 -0.003
z -0.001 -0.003 -5.841
Polar
3z2-r2-11.683
x2-y23.709
xy0.681
xz-0.001
yz-0.003


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.361 -0.056 0.000
y -0.056 9.530 -0.000
z 0.000 -0.000 6.158


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000