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

using model chemistry: B3LYP/STO-3G

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/STO-3G
 hartrees
Energy at 0K-262.191949
Energy at 298.15K-262.199265
Nuclear repulsion energy219.328364
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/STO-3G
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 3755 3351 40.16      
2 A 3523 3144 13.10      
3 A 3491 3115 13.59      
4 A 3490 3114 1.62      
5 A 3448 3077 0.44      
6 A 3302 2946 1.40      
7 A 1673 1493 5.37      
8 A 1661 1482 6.68      
9 A 1647 1469 21.80      
10 A 1589 1418 4.98      
11 A 1557 1389 3.02      
12 A 1508 1346 14.26      
13 A 1464 1306 2.64      
14 A 1311 1170 22.80      
15 A 1187 1059 1.92      
16 A 1159 1034 5.03      
17 A 1141 1018 3.98      
18 A 1130 1008 7.67      
19 A 1050 937 1.36      
20 A 990 883 2.41      
21 A 934 834 1.32      
22 A 898 801 1.91      
23 A 768 685 18.94      
24 A 683 609 1.64      
25 A 650 580 0.34      
26 A 636 568 11.96      
27 A 457 408 74.32      
28 A 333 297 3.16      
29 A 249 222 3.84      
30 A 101 90 0.49      

Unscaled Zero Point Vibrational Energy (zpe) 22889.8 cm-1
Scaled (by 0.8924) Zero Point Vibrational Energy (zpe) 20426.9 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 B3LYP/STO-3G
ABC
0.28109 0.11467 0.08273

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/STO-3G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.162 -0.016 -0.000
H2 2.542 0.507 0.895
H3 2.554 -1.043 -0.001
H4 2.542 0.508 -0.894
N5 -0.172 1.079 0.000
H6 0.158 2.070 0.000
C7 0.637 -0.079 -0.000
N8 -0.119 -1.217 -0.000
C9 -1.466 -0.727 -0.000
H10 -2.311 -1.423 -0.000
C11 -1.517 0.652 0.000
H12 -2.344 1.367 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.10351.09981.10352.57722.89241.52592.57763.69674.68883.73914.7135
H21.10351.78981.78832.91392.98822.18463.29424.28785.29864.15935.0416
H31.09981.78981.78993.45443.92872.14582.67894.03264.87994.41025.4596
H41.10351.78831.78992.91342.98712.18463.29474.28815.29904.15905.0412
N52.57722.91393.45442.91341.04421.41252.29642.22193.29221.41212.1919
H62.89242.98823.92872.98711.04422.20203.29843.23404.27752.19492.5988
C71.52592.18462.14582.18461.41252.20201.36592.20053.23992.27503.3139
N82.57763.29422.67893.29472.29643.29841.36591.43322.20152.33383.4104
C93.69674.28784.03264.28812.22193.23402.20051.43321.09491.37952.2712
H104.68885.29864.87995.29903.29224.27753.23992.20151.09492.22162.7911
C113.73914.15934.41024.15901.41212.19492.27502.33381.37952.22161.0938
H124.71355.04165.45965.04122.19192.59883.31393.41042.27122.79111.0938

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 122.535 C1 C7 N8 125.994
H2 C1 H3 108.647 H2 C1 H4 108.245
H2 C1 C7 111.352 H3 C1 H4 108.648
H3 C1 C7 108.526 H4 C1 C7 111.352
N5 C7 N8 111.471 N5 C11 C9 105.478
N5 C11 H12 121.505 H6 N5 C7 126.705
H6 N5 C11 125.990 C7 N5 C11 107.306
C7 N8 C9 103.622 N8 C9 H10 120.513
N8 C9 C11 112.123 C9 C11 H12 133.017
H10 C9 C11 127.364
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.230      
2 H 0.085      
3 H 0.104      
4 H 0.085      
5 N -0.270      
6 H 0.226      
7 C 0.149      
8 N -0.251      
9 C -0.045      
10 H 0.082      
11 C -0.027      
12 H 0.090      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.510 3.474 0.000 3.511
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.204 0.322 0.000
y 0.322 -31.867 0.000
z 0.000 0.000 -34.337
Traceless
 xyz
x 3.898 0.322 0.000
y 0.322 -0.097 0.000
z 0.000 0.000 -3.802
Polar
3z2-r2-7.603
x2-y22.663
xy0.322
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.461 0.231 0.000
y 0.231 5.108 0.000
z 0.000 0.000 1.592


<r2> (average value of r2) Å2
<r2> 143.311
(<r2>)1/2 11.971