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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: M06-2X/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at M06-2X/cc-pVTZ
 hartrees
Energy at 0K-226.109424
Energy at 298.15K-226.115479
HF Energy-226.109424
Nuclear repulsion energy167.180016
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 M06-2X/cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3215 3071 6.79      
2 A1 3095 2956 0.81      
3 A1 1745 1667 22.47      
4 A1 1423 1359 1.06      
5 A1 1394 1331 25.66      
6 A1 1256 1200 4.82      
7 A1 1038 992 2.06      
8 A1 941 899 11.77      
9 A2 1161 1108 0.00      
10 A2 933 891 0.00      
11 A2 554 529 0.00      
12 B1 3134 2994 1.55      
13 B1 1010 964 22.35      
14 B1 828 791 5.62      
15 B1 381 364 37.43      
16 B2 3201 3058 2.54      
17 B2 1816 1734 0.25      
18 B2 1401 1338 35.84      
19 B2 1250 1194 2.10      
20 B2 1089 1040 35.42      
21 B2 938 895 72.67      

Unscaled Zero Point Vibrational Energy (zpe) 15901.4 cm-1
Scaled (by 0.9551) Zero Point Vibrational Energy (zpe) 15187.4 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 M06-2X/cc-pVTZ
ABC
0.36250 0.30679 0.17159

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.198
N2 0.000 0.997 0.278
N3 0.000 -0.997 0.278
C4 0.000 0.728 -0.940
C5 0.000 -0.728 -0.940
H6 -0.892 0.000 1.826
H7 0.892 0.000 1.826
H8 0.000 1.469 -1.726
H9 0.000 -1.469 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35671.35672.25912.25911.09121.09123.27263.2726
N21.35671.99361.24762.11172.04622.04622.05893.1776
N31.35671.99362.11171.24762.04622.04623.17762.0589
C42.25911.24762.11171.45602.99672.99671.08012.3334
C52.25912.11171.24761.45602.99672.99672.33341.0801
H61.09122.04622.04622.99672.99671.78493.94633.9463
H71.09122.04622.04622.99672.99671.78493.94633.9463
H83.27262.05893.17761.08012.33343.94633.94632.9383
H93.27263.17762.05892.33341.08013.94633.94632.9383

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 120.272 C1 N3 C5 120.272
N2 C1 N3 94.572 N2 C1 H6 112.975
N2 C1 H7 112.975 N2 C4 C5 102.443
N2 C4 H8 124.229 N3 C1 H6 112.975
N3 C1 H7 112.975 N3 C5 C4 102.443
N3 C5 H9 124.229 C4 C5 H9 133.329
C5 C4 H8 133.329 H6 C1 H7 109.741
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.076      
2 N -0.158      
3 N -0.158      
4 C -0.097      
5 C -0.097      
6 H 0.152      
7 H 0.152      
8 H 0.141      
9 H 0.141      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.776 0.776
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.449 0.000 0.000
y 0.000 -35.085 0.000
z 0.000 0.000 -21.770
Traceless
 xyz
x -0.021 0.000 0.000
y 0.000 -9.976 0.000
z 0.000 0.000 9.997
Polar
3z2-r219.995
x2-y26.637
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.226 0.000 0.000
y 0.000 5.845 0.000
z 0.000 0.000 8.276


<r2> (average value of r2) Å2
<r2> 76.877
(<r2>)1/2 8.768