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

using model chemistry: wB97X-D/LANL2DZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at wB97X-D/LANL2DZ
 hartrees
Energy at 0K-225.983195
Energy at 298.15K-225.989254
HF Energy-225.983195
Nuclear repulsion energy 
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/LANL2DZ
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 3333 3333 12.07      
2 A1 3134 3134 0.12      
3 A1 1713 1713 18.66      
4 A1 1445 1445 33.75      
5 A1 1397 1397 13.98      
6 A1 1266 1266 9.16      
7 A1 1045 1045 3.47      
8 A1 942 942 12.00      
9 A2 1168 1168 0.00      
10 A2 935 935 0.00      
11 A2 566 566 0.00      
12 B1 3195 3195 0.10      
13 B1 1044 1044 16.16      
14 B1 850 850 18.81      
15 B1 385 385 52.37      
16 B2 3315 3315 3.89      
17 B2 1784 1784 0.14      
18 B2 1379 1379 12.55      
19 B2 1281 1281 4.47      
20 B2 1096 1096 51.48      
21 B2 956 956 77.15      

Unscaled Zero Point Vibrational Energy (zpe) 16113.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 16113.1 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/LANL2DZ
ABC
0.35884 0.29589 0.16733

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/LANL2DZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.222
N2 0.000 0.998 0.284
N3 0.000 -0.998 0.284
C4 0.000 0.737 -0.961
C5 0.000 -0.737 -0.961
H6 -0.892 0.000 1.852
H7 0.892 0.000 1.852
H8 0.000 1.481 -1.742
H9 0.000 -1.481 -1.742

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.37011.37012.30432.30431.09181.09183.31373.3137
N21.37011.99621.27152.13572.06192.06192.08243.2014
N31.37011.99622.13571.27152.06192.06193.20142.0824
C42.30431.27152.13571.47503.04163.04161.07842.3519
C52.30432.13571.27151.47503.04163.04162.35191.0784
H61.09182.06192.06193.04163.04161.78363.98823.9882
H71.09182.06192.06193.04163.04161.78363.98823.9882
H83.31372.08243.20141.07842.35193.98823.98822.9618
H93.31373.20142.08242.35191.07843.98823.98822.9618

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 121.413 C1 N3 C5 121.413
N2 C1 N3 93.518 N2 C1 H6 113.277
N2 C1 H7 113.277 N2 C4 C5 101.828
N2 C4 H8 124.592 N3 C1 H6 113.277
N3 C1 H7 113.277 N3 C5 C4 101.828
N3 C5 H9 124.592 C4 C5 H9 133.580
C5 C4 H8 133.580 H6 C1 H7 109.543
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/LANL2DZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.503      
2 N -0.031      
3 N -0.031      
4 C -0.264      
5 C -0.264      
6 H 0.288      
7 H 0.288      
8 H 0.259      
9 H 0.259      


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 -0.734 0.734
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.353 0.000 0.000
y 0.000 -36.578 0.000
z 0.000 0.000 -21.019
Traceless
 xyz
x 0.445 0.000 0.000
y 0.000 -11.892 0.000
z 0.000 0.000 11.447
Polar
3z2-r222.894
x2-y28.225
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.311 0.000 0.000
y 0.000 4.799 0.000
z 0.000 0.000 7.719


<r2> (average value of r2) Å2
<r2> 78.444
(<r2>)1/2 8.857