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

using model chemistry: wB97X-D/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-265.470257
Energy at 298.15K-265.478025
HF Energy-265.470257
Nuclear repulsion energy225.160279
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/cc-pVDZ
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 3719 3543 59.26      
2 A 3324 3166 2.30      
3 A 3294 3138 5.29      
4 A 3191 3040 3.50      
5 A 3135 2986 16.09      
6 A 3069 2923 30.29      
7 A 1633 1556 44.70      
8 A 1550 1477 8.51      
9 A 1522 1450 7.60      
10 A 1493 1422 10.36      
11 A 1470 1400 46.50      
12 A 1436 1368 0.66      
13 A 1411 1344 0.70      
14 A 1293 1232 15.36      
15 A 1210 1153 4.92      
16 A 1150 1095 5.52      
17 A 1119 1066 30.92      
18 A 1071 1020 1.12      
19 A 1016 968 7.29      
20 A 977 931 2.79      
21 A 935 891 2.33      
22 A 892 850 9.19      
23 A 750 714 65.17      
24 A 695 663 3.29      
25 A 686 654 0.69      
26 A 645 615 13.58      
27 A 534 509 78.62      
28 A 350 334 5.63      
29 A 253 241 7.05      
30 A 50 48 0.44      

Unscaled Zero Point Vibrational Energy (zpe) 21935.8 cm-1
Scaled (by 0.9526) Zero Point Vibrational Energy (zpe) 20896.1 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/cc-pVDZ
ABC
0.29838 0.12034 0.08716

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.110 -0.024 0.000
H2 2.499 0.486 0.887
H3 2.485 -1.048 -0.001
H4 2.499 0.488 -0.886
N5 -0.166 1.047 -0.000
H6 0.160 1.999 -0.001
C7 0.620 -0.069 -0.000
N8 -0.121 -1.156 -0.000
C9 -1.427 -0.725 -0.000
H10 -2.251 -1.425 -0.000
C11 -1.482 0.640 0.000
H12 -2.303 1.339 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09491.09061.09492.51522.80971.49132.50253.60644.58003.65324.6188
H21.09491.77291.77372.86412.92352.15143.21764.20395.19584.08194.9572
H31.09061.77291.77293.37873.83272.10672.60883.92574.75054.31155.3502
H41.09491.77371.77292.86342.92192.15153.21824.20425.19644.08174.9569
N52.51522.86413.37872.86341.00651.36472.20382.17553.23341.37802.1571
H62.80972.92353.83272.92191.00652.11873.16823.15344.18752.13212.5501
C71.49132.15142.10672.15151.36472.11871.31572.14953.17402.21823.2442
N82.50253.21762.60883.21822.20383.16821.31571.37522.14582.25363.3148
C93.60644.20393.92574.20422.17553.15342.14951.37521.08001.36642.2427
H104.58005.19584.75055.19643.23344.18753.17402.14581.08002.20292.7646
C113.65324.08194.31154.08171.37802.13212.21822.25361.36642.20291.0783
H124.61884.95725.35024.95692.15712.55013.24423.31482.24272.76461.0783

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 123.388 C1 C7 N8 126.015
H2 C1 H3 108.426 H2 C1 H4 108.178
H2 C1 C7 111.670 H3 C1 H4 108.426
H3 C1 C7 108.371 H4 C1 C7 111.672
N5 C7 N8 110.597 N5 C11 C9 104.875
N5 C11 H12 122.380 H6 N5 C7 125.968
H6 N5 C11 126.081 C7 N5 C11 107.951
C7 N8 C9 106.009 N8 C9 H10 121.382
N8 C9 C11 110.568 C9 C11 H12 132.745
H10 C9 C11 128.050
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.745      
2 H 0.172      
3 H 0.202      
4 H 0.172      
5 N -0.398      
6 H 0.323      
7 C 0.405      
8 N -0.314      
9 C -0.063      
10 H 0.153      
11 C -0.078      
12 H 0.170      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.595 3.768 -0.000 3.815
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.476 0.669 0.001
y 0.669 -34.476 -0.001
z 0.001 -0.001 -38.412
Traceless
 xyz
x 5.968 0.669 0.001
y 0.669 -0.032 -0.001
z 0.001 -0.001 -5.936
Polar
3z2-r2-11.873
x2-y24.000
xy0.669
xz0.001
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.496 0.005 0.000
y 0.005 9.044 -0.000
z 0.000 -0.000 5.953


<r2> (average value of r2) Å2
<r2> 138.944
(<r2>)1/2 11.787