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

using model chemistry: B1B95/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B1B95/6-31G(2df,p)
 hartrees
Energy at 0K-265.446090
Energy at 298.15K-265.453903
Nuclear repulsion energy225.963517
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 B1B95/6-31G(2df,p)
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 3694 3538 47.14      
2 A 3299 3159 3.27      
3 A 3265 3127 6.21      
4 A 3179 3045 2.89      
5 A 3112 2981 15.33      
6 A 3051 2922 28.24      
7 A 1617 1548 39.33      
8 A 1542 1477 4.89      
9 A 1504 1440 7.17      
10 A 1478 1415 6.62      
11 A 1451 1390 34.41      
12 A 1423 1363 0.09      
13 A 1393 1334 1.37      
14 A 1284 1230 13.10      
15 A 1205 1154 2.15      
16 A 1144 1096 3.34      
17 A 1114 1067 26.07      
18 A 1055 1010 1.65      
19 A 1006 963 8.67      
20 A 968 927 0.69      
21 A 921 882 3.39      
22 A 864 828 8.91      
23 A 738 707 32.62      
24 A 698 668 2.68      
25 A 684 655 1.29      
26 A 647 620 15.40      
27 A 544 521 62.38      
28 A 343 328 4.88      
29 A 257 246 5.06      
30 A 93 89 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 21785.9 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 20864.4 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 B1B95/6-31G(2df,p)
ABC
0.29992 0.12137 0.08782

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31G(2df,p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.100 -0.023 0.000
H2 2.493 0.487 0.884
H3 2.475 -1.045 -0.001
H4 2.493 0.489 -0.883
N5 -0.165 1.045 0.000
H6 0.158 1.995 -0.001
C7 0.615 -0.070 -0.000
N8 -0.121 -1.156 -0.000
C9 -1.420 -0.723 -0.000
H10 -2.244 -1.419 0.000
C11 -1.475 0.639 0.000
H12 -2.291 1.341 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09381.08851.09382.50422.80101.48542.49283.58914.56273.63554.5976
H21.09381.76991.76642.85612.91682.14903.21164.19065.18234.06784.9388
H31.08851.76991.76993.36703.82262.09972.59783.90844.73354.29365.3294
H41.09381.76641.76992.85552.91522.14903.21224.19095.18284.06764.9385
N52.50422.85613.36702.85551.00411.36082.20132.16813.22381.37102.1460
H62.80102.91683.82262.91521.00412.11553.16383.14354.17492.12272.5346
C71.48542.14902.09972.14901.36082.11551.31182.13773.16152.20703.2303
N82.49283.21162.59783.21222.20133.16381.31181.36992.13952.24853.3082
C93.58914.19063.90844.19092.16813.14352.13771.36991.07851.36312.2400
H104.56275.18234.73355.18283.22384.17493.16152.13951.07852.19732.7607
C113.63554.06784.29364.06761.37102.12272.20702.24851.36312.19731.0763
H124.59764.93885.32944.93852.14602.53463.23033.30822.24002.76071.0763

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 123.183 C1 C7 N8 125.928
H2 C1 H3 108.388 H2 C1 H4 107.691
H2 C1 C7 111.961 H3 C1 H4 108.389
H3 C1 C7 108.336 H4 C1 C7 111.963
N5 C7 N8 110.889 N5 C11 C9 104.927
N5 C11 H12 122.076 H6 N5 C7 126.233
H6 N5 C11 125.990 C7 N5 C11 107.777
C7 N8 C9 105.692 N8 C9 H10 121.361
N8 C9 C11 110.716 C9 C11 H12 132.997
H10 C9 C11 127.924
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.514      
2 H 0.140      
3 H 0.170      
4 H 0.140      
5 N -0.316      
6 H 0.274      
7 C 0.366      
8 N -0.319      
9 C -0.086      
10 H 0.114      
11 C -0.103      
12 H 0.133      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.532 3.471 -0.001 3.511
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.325 0.492 -0.001
y 0.492 -33.157 -0.002
z -0.001 -0.002 -36.851
Traceless
 xyz
x 4.679 0.492 -0.001
y 0.492 0.431 -0.002
z -0.001 -0.002 -5.110
Polar
3z2-r2-10.219
x2-y22.832
xy0.492
xz-0.001
yz-0.002


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.150 0.111 0.000
y 0.111 8.085 -0.000
z 0.000 -0.000 4.543


<r2> (average value of r2) Å2
<r2> 137.466
(<r2>)1/2 11.725