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

using model chemistry: HF/CEP-121G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HF/CEP-121G
 hartrees
Energy at 0K-44.682700
Energy at 298.15K-44.690909
Nuclear repulsion energy117.620643
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 HF/CEP-121G
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 3916 3573 64.12      
2 A 3457 3154 9.77      
3 A 3428 3128 3.24      
4 A 3295 3007 12.12      
5 A 3228 2945 38.89      
6 A 3157 2881 44.82      
7 A 1736 1584 65.86      
8 A 1640 1497 2.54      
9 A 1627 1485 7.25      
10 A 1626 1483 12.07      
11 A 1563 1426 0.10      
12 A 1545 1410 45.73      
13 A 1483 1353 1.00      
14 A 1385 1264 21.94      
15 A 1249 1140 16.18      
16 A 1203 1098 3.40      
17 A 1184 1081 1.94      
18 A 1181 1078 32.09      
19 A 1089 993 18.64      
20 A 1051 959 8.41      
21 A 1008 919 1.74      
22 A 1006 918 8.03      
23 A 848 774 71.00      
24 A 745 680 6.80      
25 A 716 653 2.43      
26 A 687 627 60.41      
27 A 677 618 96.77      
28 A 368 336 6.71      
29 A 275 251 8.03      
30 A 98 89 0.26      

Unscaled Zero Point Vibrational Energy (zpe) 23233.3 cm-1
Scaled (by 0.9125) Zero Point Vibrational Energy (zpe) 21200.4 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 HF/CEP-121G
ABC
0.29789 0.11807 0.08590

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-121G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.100 -0.047 0.000
H2 2.483 0.462 0.880
H3 2.471 -1.062 -0.000
H4 2.483 0.462 -0.880
N5 -0.195 1.039 0.000
H6 0.123 1.978 -0.001
C7 0.598 -0.087 0.000
N8 -0.147 -1.174 -0.000
C9 -1.478 -0.745 -0.000
H10 -2.284 -1.444 -0.000
C11 -1.526 0.621 0.000
H12 -2.344 1.307 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.08681.08071.08682.53862.83041.50212.51293.64484.60073.68714.6455
H21.08681.76021.76062.87692.94032.15133.21934.23295.20854.10774.9787
H31.08071.76021.76023.39433.84172.11152.61993.96154.77034.33735.3662
H41.08681.76061.76022.87692.93962.15143.21944.23295.20864.10774.9787
N52.53862.87693.39432.87690.99131.37742.21372.19773.24521.39582.1661
H62.83042.94033.84172.93960.99132.11953.16383.15894.18382.13592.5569
C71.50212.15132.11152.15141.37742.11951.31742.17763.18552.23943.2556
N82.51293.21932.61993.21942.21373.16381.31741.39872.15452.26413.3139
C93.64484.23293.96154.23292.19773.15892.17761.39871.06701.36692.2269
H104.60075.20854.77035.20863.24524.18383.18552.15451.06702.19962.7510
C113.68714.10774.33734.10771.39582.13592.23942.26411.36692.19961.0670
H124.64554.97875.36624.97872.16612.55693.25563.31392.22692.75101.0670

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 123.618 C1 C7 N8 125.936
H2 C1 H3 108.604 H2 C1 H4 108.197
H2 C1 C7 111.394 H3 C1 H4 108.599
H3 C1 C7 108.577 H4 C1 C7 111.395
N5 C7 N8 110.446 N5 C11 C9 105.395
N5 C11 H12 122.607 H6 N5 C7 126.185
H6 N5 C11 126.107 C7 N5 C11 107.707
C7 N8 C9 106.556 N8 C9 H10 121.215
N8 C9 C11 109.896 C9 C11 H12 131.999
H10 C9 C11 128.889
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.620      
2 H 0.163      
3 H 0.204      
4 H 0.163      
5 N -0.404      
6 H 0.360      
7 C 0.100      
8 N -0.064      
9 C -0.185      
10 H 0.193      
11 C -0.125      
12 H 0.213      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.544 4.102 -0.002 4.138
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.277 0.611 -0.001
y 0.611 -35.774 -0.004
z -0.001 -0.004 -39.024
Traceless
 xyz
x 7.122 0.611 -0.001
y 0.611 -1.123 -0.004
z -0.001 -0.004 -5.999
Polar
3z2-r2-11.997
x2-y25.497
xy0.611
xz-0.001
yz-0.004


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.172 0.159 0.000
y 0.159 8.123 0.000
z 0.000 0.000 4.931


<r2> (average value of r2) Å2
<r2> 115.356
(<r2>)1/2 10.740