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

using model chemistry: B3LYPultrafine/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYPultrafine/TZVP
 hartrees
Energy at 0K-226.196692
Energy at 298.15K-226.202715
HF Energy-226.196692
Nuclear repulsion energy166.984504
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 B3LYPultrafine/TZVP
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 3217 3100 14.95      
2 A1 3051 2939 0.03      
3 A1 1697 1635 22.73      
4 A1 1408 1357 2.86      
5 A1 1386 1335 28.08      
6 A1 1248 1202 5.26      
7 A1 1031 994 2.96      
8 A1 933 899 10.78      
9 A2 1147 1105 0.00      
10 A2 916 882 0.00      
11 A2 550 530 0.00      
12 B1 3082 2969 0.47      
13 B1 1012 975 19.41      
14 B1 832 802 5.42      
15 B1 368 354 40.79      
16 B2 3204 3086 6.27      
17 B2 1767 1703 0.73      
18 B2 1380 1329 33.83      
19 B2 1250 1205 0.84      
20 B2 1080 1040 37.90      
21 B2 938 904 70.05      

Unscaled Zero Point Vibrational Energy (zpe) 15748.0 cm-1
Scaled (by 0.9634) Zero Point Vibrational Energy (zpe) 15171.6 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 B3LYPultrafine/TZVP
ABC
0.36305 0.30530 0.17123

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/TZVP

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 0.280
N3 0.000 -0.997 0.280
C4 0.000 0.726 -0.943
C5 0.000 -0.726 -0.943
H6 -0.891 0.000 1.834
H7 0.891 0.000 1.834
H8 0.000 1.469 -1.730
H9 0.000 -1.469 -1.730

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35571.35572.26222.26221.09401.09403.27633.2763
N21.35571.99341.25302.11332.04992.04992.06443.1808
N31.35571.99342.11331.25302.04992.04993.18082.0644
C42.26221.25302.11331.45283.00603.00601.08132.3318
C52.26222.11331.25301.45283.00603.00602.33181.0813
H61.09402.04992.04993.00603.00601.78143.95623.9562
H71.09402.04992.04993.00603.00601.78143.95623.9562
H83.27632.06443.18081.08132.33183.95623.95622.9376
H93.27633.18082.06442.33181.08133.95623.95622.9376

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 120.216 C1 N3 C5 120.216
N2 C1 N3 94.652 N2 C1 H6 113.178
N2 C1 H7 113.178 N2 C4 C5 102.458
N2 C4 H8 124.185 N3 C1 H6 113.178
N3 C1 H7 113.178 N3 C5 C4 102.458
N3 C5 H9 124.185 C4 C5 H9 133.357
C5 C4 H8 133.357 H6 C1 H7 109.006
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.262      
2 N -0.080      
3 N -0.080      
4 C -0.092      
5 C -0.092      
6 H 0.182      
7 H 0.182      
8 H 0.120      
9 H 0.120      


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 -0.735 0.735
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.524 0.000 0.000
y 0.000 -35.999 0.000
z 0.000 0.000 -22.065
Traceless
 xyz
x 0.508 0.000 0.000
y 0.000 -10.705 0.000
z 0.000 0.000 10.197
Polar
3z2-r220.394
x2-y27.475
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.334 0.000 0.000
y 0.000 5.999 0.000
z 0.000 0.000 8.480


<r2> (average value of r2) Å2
<r2> 77.284
(<r2>)1/2 8.791