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

using model chemistry: PBEPBE/STO-3G

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/STO-3G
 hartrees
Energy at 0K-222.941075
Energy at 298.15K-222.946587
HF Energy-222.941075
Nuclear repulsion energy162.838815
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/STO-3G
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 3392 3099 7.79      
2 A1 3235 2955 28.14      
3 A1 1725 1576 8.52      
4 A1 1470 1343 19.45      
5 A1 1351 1234 1.83      
6 A1 1299 1187 11.03      
7 A1 1020 932 1.85      
8 A1 883 807 8.09      
9 A2 1141 1042 0.00      
10 A2 843 770 0.00      
11 A2 526 481 0.00      
12 B1 3331 3043 14.99      
13 B1 1003 916 3.86      
14 B1 777 710 6.95      
15 B1 278 254 34.09      
16 B2 3374 3083 0.15      
17 B2 1765 1612 1.05      
18 B2 1309 1196 1.62      
19 B2 1221 1115 10.92      
20 B2 1058 966 7.66      
21 B2 914 835 70.05      

Unscaled Zero Point Vibrational Energy (zpe) 15955.7 cm-1
Scaled (by 0.9136) Zero Point Vibrational Energy (zpe) 14577.2 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/STO-3G
ABC
0.35497 0.28345 0.16281

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.256
N2 0.000 1.000 0.285
N3 0.000 -1.000 0.285
C4 0.000 0.740 -0.980
C5 0.000 -0.740 -0.980
H6 -0.921 0.000 1.889
H7 0.921 0.000 1.889
H8 0.000 1.517 -1.769
H9 0.000 -1.517 -1.769

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.39321.39322.35552.35551.11771.11773.38353.3835
N21.39321.99911.29182.15162.10222.10222.11803.2483
N31.39321.99912.15161.29182.10222.10223.24832.1180
C42.35551.29182.15161.48093.10303.10301.10652.3912
C52.35552.15161.29181.48093.10303.10302.39121.1065
H61.11772.10222.10223.10303.10301.84224.06524.0652
H71.11772.10222.10223.10303.10301.84224.06524.0652
H83.38352.11803.24831.10652.39124.06524.06523.0341
H93.38353.24832.11802.39121.10654.06524.06523.0341

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 122.586 C1 N3 C5 122.586
N2 C1 N3 91.688 N2 C1 H6 113.239
N2 C1 H7 113.239 N2 C4 C5 101.570
N2 C4 H8 123.856 N3 C1 H6 113.239
N3 C1 H7 113.239 N3 C5 C4 101.570
N3 C5 H9 123.856 C4 C5 H9 134.574
C5 C4 H8 134.574 H6 C1 H7 111.001
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.024      
2 N -0.238      
3 N -0.238      
4 C -0.004      
5 C -0.004      
6 H 0.148      
7 H 0.148      
8 H 0.106      
9 H 0.106      


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 -0.098 0.098
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.958 0.000 0.000
y 0.000 -31.789 0.000
z 0.000 0.000 -21.243
Traceless
 xyz
x 0.557 0.000 0.000
y 0.000 -8.188 0.000
z 0.000 0.000 7.631
Polar
3z2-r215.262
x2-y25.830
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.628 0.000 0.000
y 0.000 2.745 0.000
z 0.000 0.000 5.268


<r2> (average value of r2) Å2
<r2> 78.837
(<r2>)1/2 8.879