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

using model chemistry: PBE1PBE/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 PBE1PBE/TZVP
 hartrees
Energy at 0K-225.931241
Energy at 298.15K-225.937273
HF Energy-225.931241
Nuclear repulsion energy167.350619
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 PBE1PBE/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 3240 3109 12.41      
2 A1 3075 2951 0.50      
3 A1 1727 1657 19.64      
4 A1 1417 1360 0.07      
5 A1 1378 1323 38.31      
6 A1 1263 1212 5.59      
7 A1 1048 1005 1.72      
8 A1 941 903 11.73      
9 A2 1144 1097 0.00      
10 A2 920 883 0.00      
11 A2 553 531 0.00      
12 B1 3114 2988 1.53      
13 B1 1007 966 20.52      
14 B1 833 799 5.03      
15 B1 368 353 41.58      
16 B2 3225 3095 4.75      
17 B2 1801 1729 0.58      
18 B2 1398 1342 34.71      
19 B2 1245 1195 0.46      
20 B2 1088 1044 33.99      
21 B2 935 897 72.82      

Unscaled Zero Point Vibrational Energy (zpe) 15859.9 cm-1
Scaled (by 0.9596) Zero Point Vibrational Energy (zpe) 15219.2 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 PBE1PBE/TZVP
ABC
0.36398 0.30728 0.17206

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.193
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.724 -0.940
C5 0.000 -0.724 -0.940
H6 -0.891 0.000 1.829
H7 0.891 0.000 1.829
H8 0.000 1.468 -1.727
H9 0.000 -1.468 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35151.35152.25322.25321.09451.09453.26823.2682
N21.35151.99251.25052.10912.04572.04572.06143.1778
N31.35151.99252.10911.25052.04572.04573.17782.0614
C42.25321.25052.10911.44772.99762.99761.08252.3284
C52.25322.10911.25051.44772.99762.99762.32841.0825
H61.09452.04572.04572.99762.99761.78273.94833.9483
H71.09452.04572.04572.99762.99761.78273.94833.9483
H83.26822.06143.17781.08252.32843.94833.94832.9355
H93.26823.17782.06142.32841.08253.94833.94832.9355

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 119.933 C1 N3 C5 119.933
N2 C1 N3 94.972 N2 C1 H6 113.090
N2 C1 H7 113.090 N2 C4 C5 102.581
N2 C4 H8 124.006 N3 C1 H6 113.090
N3 C1 H7 113.090 N3 C5 C4 102.581
N3 C5 H9 124.006 C4 C5 H9 133.412
C5 C4 H8 133.412 H6 C1 H7 109.051
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.306      
2 N -0.047      
3 N -0.047      
4 C -0.108      
5 C -0.108      
6 H 0.187      
7 H 0.187      
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 -0.717 0.717
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.327 0.000 0.000
y 0.000 -35.675 0.000
z 0.000 0.000 -21.748
Traceless
 xyz
x 0.384 0.000 0.000
y 0.000 -10.637 0.000
z 0.000 0.000 10.253
Polar
3z2-r220.506
x2-y27.348
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.275 0.000 0.000
y 0.000 5.933 0.000
z 0.000 0.000 8.380


<r2> (average value of r2) Å2
<r2> 76.839
(<r2>)1/2 8.766