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

using model chemistry: B3LYP/SDD

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYP/SDD
 hartrees
Energy at 0K-226.060307
Energy at 298.15K-226.066334
HF Energy-226.060307
Nuclear repulsion energy164.785471
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 B3LYP/SDD
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 3289 3162 12.57      
2 A1 3090 2971 0.00      
3 A1 1678 1613 22.19      
4 A1 1426 1371 31.94      
5 A1 1369 1316 7.80      
6 A1 1248 1200 9.40      
7 A1 1026 987 4.84      
8 A1 919 883 12.29      
9 A2 1145 1101 0.00      
10 A2 922 886 0.00      
11 A2 559 537 0.00      
12 B1 3140 3018 0.04      
13 B1 1036 996 12.87      
14 B1 840 807 20.07      
15 B1 389 374 49.27      
16 B2 3269 3143 4.90      
17 B2 1738 1671 0.08      
18 B2 1343 1291 12.07      
19 B2 1259 1210 4.72      
20 B2 1075 1033 46.28      
21 B2 943 906 78.09      

Unscaled Zero Point Vibrational Energy (zpe) 15850.5 cm-1
Scaled (by 0.9613) Zero Point Vibrational Energy (zpe) 15237.1 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 B3LYP/SDD
ABC
0.35774 0.29382 0.16643

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/SDD

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.226
N2 0.000 0.998 0.285
N3 0.000 -0.998 0.285
C4 0.000 0.740 -0.965
C5 0.000 -0.740 -0.965
H6 -0.892 0.000 1.862
H7 0.892 0.000 1.862
H8 0.000 1.487 -1.746
H9 0.000 -1.487 -1.746

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.37151.37152.31202.31201.09581.09583.32323.3232
N21.37151.99651.27602.14112.06872.06872.08933.2099
N31.37151.99652.14111.27602.06872.06873.20992.0893
C42.31201.27602.14111.48073.05543.05541.08112.3606
C52.31202.14111.27601.48073.05543.05542.36061.0811
H61.09582.06872.06873.05543.05541.78384.00364.0036
H71.09582.06872.06873.05543.05541.78384.00364.0036
H83.32322.08933.20991.08112.36064.00364.00362.9743
H93.32323.20992.08932.36061.08114.00364.00362.9743

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 121.635 C1 N3 C5 121.635
N2 C1 N3 93.409 N2 C1 H6 113.482
N2 C1 H7 113.482 N2 C4 C5 101.661
N2 C4 H8 124.645 N3 C1 H6 113.482
N3 C1 H7 113.482 N3 C5 C4 101.661
N3 C5 H9 124.645 C4 C5 H9 133.695
C5 C4 H8 133.695 H6 C1 H7 108.952
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.517      
2 N 0.007      
3 N 0.007      
4 C -0.287      
5 C -0.287      
6 H 0.275      
7 H 0.275      
8 H 0.263      
9 H 0.263      


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 -0.642 0.642
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.492 0.000 0.000
y 0.000 -36.583 0.000
z 0.000 0.000 -21.363
Traceless
 xyz
x 0.481 0.000 0.000
y 0.000 -11.655 0.000
z 0.000 0.000 11.174
Polar
3z2-r222.348
x2-y28.091
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.353 0.000 0.000
y 0.000 4.934 0.000
z 0.000 0.000 7.842


<r2> (average value of r2) Å2
<r2> 78.889
(<r2>)1/2 8.882