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

using model chemistry: B3LYP/3-21G

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/3-21G
 hartrees
Energy at 0K-264.069352
Energy at 298.15K-264.077278
Nuclear repulsion energy222.994242
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/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3584 3458 41.10      
2 A 3314 3198 3.23      
3 A 3288 3173 2.99      
4 A 3161 3050 2.72      
5 A 3089 2980 18.71      
6 A 3046 2939 25.03      
7 A 1572 1517 41.98      
8 A 1557 1502 9.65      
9 A 1551 1496 3.14      
10 A 1491 1439 5.08      
11 A 1462 1410 4.64      
12 A 1404 1355 13.28      
13 A 1356 1309 4.99      
14 A 1279 1234 26.73      
15 A 1159 1118 6.35      
16 A 1103 1065 12.03      
17 A 1103 1064 5.82      
18 A 1096 1058 8.69      
19 A 1011 975 11.83      
20 A 976 942 3.46      
21 A 944 910 3.22      
22 A 908 876 5.54      
23 A 769 742 43.08      
24 A 701 677 5.40      
25 A 673 650 1.29      
26 A 656 633 18.34      
27 A 643 620 113.58      
28 A 334 322 5.33      
29 A 256 247 6.55      
30 A 115 111 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 21799.5 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 21034.4 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/3-21G
ABC
0.29331 0.11788 0.08544

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.128 -0.024 0.000
H2 2.517 0.487 0.890
H3 2.493 -1.052 -0.001
H4 2.517 0.488 -0.889
N5 -0.167 1.062 -0.000
H6 0.149 2.024 -0.000
C7 0.634 -0.070 -0.000
N8 -0.116 -1.170 -0.000
C9 -1.448 -0.730 -0.000
H10 -2.267 -1.427 0.000
C11 -1.498 0.641 0.000
H12 -2.322 1.332 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09711.09121.09712.53872.84741.49502.52023.64554.61413.68704.6525
H21.09711.77831.77852.88532.95972.15613.23614.24235.22944.11574.9926
H31.09121.77831.77833.39773.86712.10272.61233.95464.77544.33605.3735
H41.09711.77851.77832.88482.95862.15613.23654.24265.22984.11564.9924
N52.53872.88533.39772.88481.01241.38662.23242.20323.25711.39642.1726
H62.84742.95973.86712.95861.01242.14933.20463.18384.21302.15062.5667
C71.49502.15612.10272.15611.38662.14931.33122.18423.20292.24793.2720
N82.52023.23612.61233.23652.23243.20461.33121.40262.16632.27843.3356
C93.64554.24233.95464.24262.20323.18382.18421.40261.07551.37272.2399
H104.61415.22944.77545.22983.25714.21303.20292.16631.07552.20712.7598
C113.68704.11574.33604.11561.39642.15062.24792.27841.37272.20711.0751
H124.65254.99265.37354.99242.17262.56673.27203.33562.23992.75981.0751

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 123.481 C1 C7 N8 126.089
H2 C1 H3 108.703 H2 C1 H4 108.295
H2 C1 C7 111.648 H3 C1 H4 108.704
H3 C1 C7 107.765 H4 C1 C7 111.649
N5 C7 N8 110.431 N5 C11 C9 105.429
N5 C11 H12 122.520 H6 N5 C7 126.546
H6 N5 C11 125.709 C7 N5 C11 107.745
C7 N8 C9 106.035 N8 C9 H10 121.335
N8 C9 C11 110.361 C9 C11 H12 132.052
H10 C9 C11 128.304
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.620     -0.509
2 H 0.206     0.133
3 H 0.239     0.168
4 H 0.206     0.133
5 N -0.724     -0.291
6 H 0.322     0.326
7 C 0.541     0.508
8 N -0.527     -0.545
9 C -0.071     0.083
10 H 0.189     0.122
11 C 0.038     -0.350
12 H 0.203     0.222


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.484 3.667 -0.000 3.699
CHELPG        
AIM        
ESP 0.462 3.629 -0.000 3.659


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.059 0.540 -0.000
y 0.540 -33.754 -0.002
z -0.000 -0.002 -37.960
Traceless
 xyz
x 5.798 0.540 -0.000
y 0.540 0.256 -0.002
z -0.000 -0.002 -6.054
Polar
3z2-r2-12.107
x2-y23.695
xy0.540
xz-0.000
yz-0.002


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.297 0.173 0.000
y 0.173 7.341 -0.000
z 0.000 -0.000 3.314


<r2> (average value of r2) Å2
<r2> 140.807
(<r2>)1/2 11.866