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

using model chemistry: wB97X-D/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at wB97X-D/6-311G**
 hartrees
Energy at 0K-265.516566
Energy at 298.15K-265.524376
HF Energy-265.516566
Nuclear repulsion energy225.602935
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 wB97X-D/6-311G**
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 3705 3544 55.37      
2 A 3297 3154 2.97      
3 A 3265 3123 6.38      
4 A 3172 3034 4.39      
5 A 3115 2980 19.56      
6 A 3055 2922 29.11      
7 A 1631 1560 46.62      
8 A 1545 1478 5.42      
9 A 1517 1451 6.70      
10 A 1487 1422 9.66      
11 A 1464 1400 41.92      
12 A 1429 1367 0.67      
13 A 1402 1341 0.52      
14 A 1289 1233 14.88      
15 A 1203 1150 4.54      
16 A 1146 1096 3.68      
17 A 1115 1066 31.14      
18 A 1069 1023 1.50      
19 A 1016 972 8.91      
20 A 976 933 2.38      
21 A 938 897 2.68      
22 A 892 853 8.43      
23 A 751 719 51.39      
24 A 702 672 3.59      
25 A 687 658 1.01      
26 A 652 624 13.02      
27 A 549 525 77.00      
28 A 349 334 5.36      
29 A 255 244 6.37      
30 A 63 60 0.30      

Unscaled Zero Point Vibrational Energy (zpe) 21867.4 cm-1
Scaled (by 0.9565) Zero Point Vibrational Energy (zpe) 20916.1 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 wB97X-D/6-311G**
ABC
0.29958 0.12080 0.08750

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.106 -0.023 0.000
H2 2.493 0.488 0.886
H3 2.480 -1.046 -0.001
H4 2.493 0.490 -0.885
N5 -0.167 1.045 -0.000
H6 0.157 1.996 -0.001
C7 0.617 -0.069 -0.000
N8 -0.119 -1.155 -0.000
C9 -1.422 -0.724 -0.000
H10 -2.244 -1.423 -0.000
C11 -1.480 0.637 0.000
H12 -2.300 1.335 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09391.08901.09392.51072.80611.48932.49613.59704.56943.64574.6100
H21.09391.77171.77172.85862.91912.14853.21054.19355.18444.07344.9474
H31.08901.77171.77173.37243.82732.10292.60093.91514.73854.30225.3396
H41.09391.77171.77172.85792.91762.14863.21114.19395.18494.07334.9471
N52.51072.85863.37242.85791.00471.36222.20002.16933.22591.37492.1528
H62.80612.91913.82732.91761.00472.11613.16283.14534.17802.12712.5439
C71.48932.14852.10292.14861.36222.11611.31142.14193.16512.21273.2374
N82.49613.21052.60093.21112.20003.16281.31141.37252.14172.25003.3098
C93.59704.19353.91514.19392.16933.14532.14191.37251.07881.36262.2384
H104.56945.18444.73855.18493.22594.17803.16512.14171.07882.19772.7590
C113.64574.07344.30224.07331.37492.12712.21272.25001.36262.19771.0768
H124.61004.94745.33964.94712.15282.54393.23743.30982.23842.75901.0768

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 123.334 C1 C7 N8 125.935
H2 C1 H3 108.509 H2 C1 H4 108.159
H2 C1 C7 111.640 H3 C1 H4 108.509
H3 C1 C7 108.291 H4 C1 C7 111.642
N5 C7 N8 110.731 N5 C11 C9 104.826
N5 C11 H12 122.357 H6 N5 C7 126.101
H6 N5 C11 126.020 C7 N5 C11 107.879
C7 N8 C9 105.862 N8 C9 H10 121.314
N8 C9 C11 110.701 C9 C11 H12 132.817
H10 C9 C11 127.985
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.305      
2 H 0.131      
3 H 0.154      
4 H 0.131      
5 N -0.390      
6 H 0.241      
7 C 0.239      
8 N -0.329      
9 C -0.097      
10 H 0.109      
11 C -0.003      
12 H 0.119      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.557 3.640 0.000 3.683
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.465 0.569 0.001
y 0.569 -33.822 -0.001
z 0.001 -0.001 -37.758
Traceless
 xyz
x 5.326 0.569 0.001
y 0.569 0.289 -0.001
z 0.001 -0.001 -5.615
Polar
3z2-r2-11.230
x2-y23.358
xy0.569
xz0.001
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.095 0.095 0.000
y 0.095 8.250 -0.000
z 0.000 -0.000 4.813


<r2> (average value of r2) Å2
<r2> 138.218
(<r2>)1/2 11.757