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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-225.760186
Energy at 298.15K-225.766156
HF Energy-225.760186
Nuclear repulsion energy164.833709
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 3213 3169 14.59      
2 A1 3027 2985 0.96      
3 A1 1643 1621 22.15      
4 A1 1396 1376 28.52      
5 A1 1342 1324 1.55      
6 A1 1234 1217 11.53      
7 A1 1020 1006 7.29      
8 A1 895 883 8.84      
9 A2 1124 1109 0.00      
10 A2 888 876 0.00      
11 A2 546 539 0.00      
12 B1 3070 3028 0.67      
13 B1 1000 986 13.11      
14 B1 810 799 10.28      
15 B1 384 378 51.84      
16 B2 3196 3152 11.68      
17 B2 1696 1672 0.01      
18 B2 1296 1278 11.59      
19 B2 1223 1206 2.63      
20 B2 1060 1046 30.29      
21 B2 921 908 87.91      

Unscaled Zero Point Vibrational Energy (zpe) 15492.0 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 15278.2 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 PBEPBE/6-31G
ABC
0.35857 0.29394 0.16671

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 1.223
N2 0.000 0.998 0.286
N3 0.000 -0.998 0.286
C4 0.000 0.737 -0.964
C5 0.000 -0.737 -0.964
H6 -0.897 0.000 1.864
H7 0.897 0.000 1.864
H8 0.000 1.490 -1.749
H9 0.000 -1.490 -1.749

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36851.36852.30792.30791.10241.10243.32463.3246
N21.36851.99601.27782.13852.07092.07092.09413.2147
N31.36851.99602.13851.27782.07092.07093.21472.0941
C42.30791.27782.13851.47323.05713.05711.08802.3611
C52.30792.13851.27781.47323.05713.05712.36111.0880
H61.10242.07092.07093.05713.05711.79364.00984.0098
H71.10242.07092.07093.05713.05711.79364.00984.0098
H83.32462.09413.21471.08802.36114.00984.00982.9806
H93.32463.21472.09412.36111.08804.00984.00982.9806

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 121.374 C1 N3 C5 121.374
N2 C1 N3 93.645 N2 C1 H6 113.449
N2 C1 H7 113.449 N2 C4 C5 101.803
N2 C4 H8 124.351 N3 C1 H6 113.449
N3 C1 H7 113.449 N3 C5 C4 101.803
N3 C5 H9 124.351 C4 C5 H9 133.846
C5 C4 H8 133.846 H6 C1 H7 108.881
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 -0.119      
2 N -0.349      
3 N -0.349      
4 C -0.010      
5 C -0.010      
6 H 0.247      
7 H 0.247      
8 H 0.172      
9 H 0.172      


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 -0.382 0.382
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.080 0.000 0.000
y 0.000 -35.879 0.000
z 0.000 0.000 -21.445
Traceless
 xyz
x 0.582 0.000 0.000
y 0.000 -11.117 0.000
z 0.000 0.000 10.534
Polar
3z2-r221.068
x2-y27.799
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.261 0.000 0.000
y 0.000 5.039 0.000
z 0.000 0.000 8.050


<r2> (average value of r2) Å2
<r2> 78.633
(<r2>)1/2 8.868