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

using model chemistry: PBEPBE/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/6-31G*
 hartrees
Energy at 0K-225.842784
Energy at 298.15K-225.848691
HF Energy-225.842784
Nuclear repulsion energy165.969745
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 PBEPBE/6-31G*
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 3161 3115 19.93      
2 A1 2999 2956 0.01      
3 A1 1679 1655 17.63      
4 A1 1384 1364 4.14      
5 A1 1355 1336 20.34      
6 A1 1244 1226 7.41      
7 A1 1018 1003 2.37      
8 A1 898 886 12.54      
9 A2 1111 1095 0.00      
10 A2 878 865 0.00      
11 A2 530 523 0.00      
12 B1 3034 2991 0.08      
13 B1 974 960 13.87      
14 B1 793 781 4.60      
15 B1 362 356 39.80      
16 B2 3145 3100 15.07      
17 B2 1740 1715 0.37      
18 B2 1350 1330 32.11      
19 B2 1204 1186 1.36      
20 B2 1064 1049 25.16      
21 B2 900 887 79.78      

Unscaled Zero Point Vibrational Energy (zpe) 15410.7 cm-1
Scaled (by 0.9857) Zero Point Vibrational Energy (zpe) 15190.3 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 PBEPBE/6-31G*
ABC
0.36085 0.30030 0.16926

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.206
N2 0.000 0.997 0.284
N3 0.000 -0.997 0.284
C4 0.000 0.730 -0.953
C5 0.000 -0.730 -0.953
H6 -0.899 0.000 1.850
H7 0.899 0.000 1.850
H8 0.000 1.491 -1.739
H9 0.000 -1.491 -1.739

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35741.35742.27892.27891.10591.10593.30043.3004
N21.35741.99381.26612.12432.06212.06212.08263.2064
N31.35741.99382.12431.26612.06212.06213.20642.0826
C42.27891.26612.12431.45923.03273.03271.09382.3551
C52.27892.12431.26611.45923.03273.03272.35511.0938
H61.10592.06212.06213.03273.03271.79793.98853.9885
H71.10592.06212.06213.03273.03271.79793.98853.9885
H83.30042.08263.20641.09382.35513.98853.98852.9812
H93.30043.20642.08262.35511.09383.98853.98852.9812

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 120.557 C1 N3 C5 120.557
N2 C1 N3 94.512 N2 C1 H6 113.284
N2 C1 H7 113.284 N2 C4 C5 102.187
N2 C4 H8 123.727 N3 C1 H6 113.284
N3 C1 H7 113.284 N3 C5 C4 102.187
N3 C5 H9 123.727 C4 C5 H9 134.086
C5 C4 H8 134.086 H6 C1 H7 108.761
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.094      
2 N -0.328      
3 N -0.328      
4 C -0.008      
5 C -0.008      
6 H 0.224      
7 H 0.224      
8 H 0.159      
9 H 0.159      


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 -0.425 0.425
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.883 0.000 0.000
y 0.000 -34.366 0.000
z 0.000 0.000 -21.675
Traceless
 xyz
x 0.138 0.000 0.000
y 0.000 -9.587 0.000
z 0.000 0.000 9.449
Polar
3z2-r218.898
x2-y26.483
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.413 0.000 0.000
y 0.000 5.268 0.000
z 0.000 0.000 8.056


<r2> (average value of r2) Å2
<r2> 77.483
(<r2>)1/2 8.802