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

using model chemistry: B1B95/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B1B95/3-21G
 hartrees
Energy at 0K-263.950399
Energy at 298.15K-263.958377
Nuclear repulsion energy223.846622
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 B1B95/3-21G
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 3621 3464 51.98      
2 A 3338 3194 2.32      
3 A 3312 3169 2.62      
4 A 3187 3049 1.73      
5 A 3122 2986 14.84      
6 A 3067 2934 20.73      
7 A 1584 1515 48.36      
8 A 1552 1484 11.16      
9 A 1548 1481 0.89      
10 A 1507 1441 5.74      
11 A 1456 1393 5.61      
12 A 1413 1352 16.37      
13 A 1373 1313 5.63      
14 A 1289 1233 25.38      
15 A 1168 1118 6.82      
16 A 1120 1071 11.71      
17 A 1107 1059 13.12      
18 A 1099 1052 7.28      
19 A 1014 970 9.63      
20 A 979 937 3.10      
21 A 942 901 3.22      
22 A 921 881 6.17      
23 A 781 747 45.28      
24 A 705 675 9.49      
25 A 680 650 1.27      
26 A 667 638 136.79      
27 A 657 628 0.07      
28 A 331 317 5.55      
29 A 260 248 7.11      
30 A 126 120 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 21960.7 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 21009.8 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 B1B95/3-21G
ABC
0.29522 0.11892 0.08615

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.118 -0.023 -0.000
H2 2.507 0.485 0.889
H3 2.480 -1.051 -0.001
H4 2.507 0.487 -0.888
N5 -0.166 1.057 0.000
H6 0.151 2.016 0.000
C7 0.631 -0.069 -0.000
N8 -0.116 -1.166 -0.000
C9 -1.442 -0.728 0.000
H10 -2.260 -1.424 0.000
C11 -1.491 0.640 -0.000
H12 -2.314 1.331 -0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09511.08971.09512.52672.83381.48792.50973.62934.59703.67044.6346
H21.09511.77561.77722.87372.94682.14823.22404.22505.21094.09864.9743
H31.08971.77561.77563.38293.85142.09322.59843.93504.75454.31675.3532
H41.09511.77721.77562.87332.94592.14823.22454.22535.21144.09834.9738
N52.52672.87373.38292.87331.01011.37992.22382.19423.24681.38962.1656
H62.83382.94683.85142.94591.01012.14033.19363.17294.20102.14252.5584
C71.48792.14822.09322.14821.37992.14031.32702.17513.19272.23823.2612
N82.50973.22402.59843.22452.22383.19361.32701.39652.15952.27073.3268
C93.62934.22503.93504.22532.19423.17292.17511.39651.07421.36932.2360
H104.59705.21094.75455.21143.24684.20103.19272.15951.07422.20292.7556
C113.67044.09864.31674.09831.38962.14252.23822.27071.36932.20291.0739
H124.63464.97435.35324.97382.16562.55843.26123.32682.23602.75561.0739

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 123.493 C1 C7 N8 126.046
H2 C1 H3 108.714 H2 C1 H4 108.473
H2 C1 C7 111.633 H3 C1 H4 108.716
H3 C1 C7 107.590 H4 C1 C7 111.635
N5 C7 N8 110.460 N5 C11 C9 105.367
N5 C11 H12 122.542 H6 N5 C7 126.454
H6 N5 C11 125.714 C7 N5 C11 107.832
C7 N8 C9 105.973 N8 C9 H10 121.314
N8 C9 C11 110.368 C9 C11 H12 132.091
H10 C9 C11 128.318
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.662      
2 H 0.224      
3 H 0.258      
4 H 0.224      
5 N -0.752      
6 H 0.339      
7 C 0.530      
8 N -0.529      
9 C -0.096      
10 H 0.213      
11 C 0.023      
12 H 0.227      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.501 3.713 -0.000 3.747
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.685 0.553 0.000
y 0.553 -33.514 -0.001
z 0.000 -0.001 -37.981
Traceless
 xyz
x 6.062 0.553 0.000
y 0.553 0.319 -0.001
z 0.000 -0.001 -6.381
Polar
3z2-r2-12.763
x2-y23.829
xy0.553
xz0.000
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.208 0.175 0.000
y 0.175 7.286 -0.000
z 0.000 -0.000 3.323


<r2> (average value of r2) Å2
<r2> 139.723
(<r2>)1/2 11.820