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

using model chemistry: M06-2X/aug-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/aug-cc-pVTZ
 hartrees
Energy at 0K-226.113841
Energy at 298.15K-226.119891
HF Energy-226.113841
Nuclear repulsion energy167.154612
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/aug-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 3218 3075 6.36      
2 A1 3095 2958 1.36      
3 A1 1740 1663 23.60      
4 A1 1422 1359 1.10      
5 A1 1392 1331 28.14      
6 A1 1253 1198 4.29      
7 A1 1037 991 1.55      
8 A1 941 899 10.14      
9 A2 1161 1110 0.00      
10 A2 931 890 0.00      
11 A2 551 526 0.00      
12 B1 3135 2997 2.41      
13 B1 1009 964 22.47      
14 B1 828 791 5.35      
15 B1 379 363 37.42      
16 B2 3205 3063 1.56      
17 B2 1812 1732 0.38      
18 B2 1400 1338 35.50      
19 B2 1250 1194 2.59      
20 B2 1088 1040 36.76      
21 B2 935 894 67.16      

Unscaled Zero Point Vibrational Energy (zpe) 15890.4 cm-1
Scaled (by 0.9557) Zero Point Vibrational Energy (zpe) 15186.5 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/aug-cc-pVTZ
ABC
0.36249 0.30662 0.17154

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.199
N2 0.000 0.997 0.278
N3 0.000 -0.997 0.278
C4 0.000 0.728 -0.941
C5 0.000 -0.728 -0.941
H6 -0.893 0.000 1.826
H7 0.893 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
C11.35701.35702.25992.25991.09121.09123.27323.2732
N21.35701.99371.24802.11192.04632.04632.05923.1776
N31.35701.99372.11191.24802.04632.04633.17762.0592
C42.25991.24802.11191.45592.99692.99691.08002.3331
C52.25992.11191.24801.45592.99692.99692.33311.0800
H61.09122.04632.04632.99692.99691.78583.94643.9464
H71.09122.04632.04632.99692.99691.78583.94643.9464
H83.27322.05923.17761.08002.33313.94643.94642.9378
H93.27323.17762.05922.33311.08003.94643.94642.9378

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 120.285 C1 N3 C5 120.285
N2 C1 N3 94.545 N2 C1 H6 112.955
N2 C1 H7 112.955 N2 C4 C5 102.443
N2 C4 H8 124.236 N3 C1 H6 112.955
N3 C1 H7 112.955 N3 C5 C4 102.443
N3 C5 H9 124.236 C4 C5 H9 133.320
C5 C4 H8 133.320 H6 C1 H7 109.829
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.391      
2 N -0.367      
3 N -0.367      
4 C -0.315      
5 C -0.315      
6 H 0.383      
7 H 0.383      
8 H 0.495      
9 H 0.495      


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 -0.893 0.893
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.707 0.000 0.000
y 0.000 -35.754 0.000
z 0.000 0.000 -21.821
Traceless
 xyz
x 0.080 0.000 0.000
y 0.000 -10.490 0.000
z 0.000 0.000 10.410
Polar
3z2-r220.820
x2-y27.046
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.847 0.000 0.000
y 0.000 6.833 0.000
z 0.000 0.000 8.601


<r2> (average value of r2) Å2
<r2> 77.096
(<r2>)1/2 8.780