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

using model chemistry: B3LYP/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 B3LYP/STO-3G
 hartrees
Energy at 0K-223.198175
Energy at 298.15K-223.203796
HF Energy-223.198175
Nuclear repulsion energy163.314194
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/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 3468 3095 11.58      
2 A1 3307 2952 27.54      
3 A1 1769 1579 9.20      
4 A1 1522 1358 13.85      
5 A1 1396 1246 3.92      
6 A1 1322 1180 8.53      
7 A1 1049 936 1.74      
8 A1 924 824 8.81      
9 A2 1175 1048 0.00      
10 A2 879 785 0.00      
11 A2 543 484 0.00      
12 B1 3407 3040 14.64      
13 B1 1038 926 4.55      
14 B1 808 721 5.13      
15 B1 286 255 34.05      
16 B2 3450 3079 0.42      
17 B2 1824 1628 1.42      
18 B2 1372 1224 3.53      
19 B2 1263 1127 9.52      
20 B2 1080 964 9.43      
21 B2 945 843 67.38      

Unscaled Zero Point Vibrational Energy (zpe) 16413.0 cm-1
Scaled (by 0.8924) Zero Point Vibrational Energy (zpe) 14646.9 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/STO-3G
ABC
0.35613 0.28555 0.16369

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.254
N2 0.000 1.000 0.282
N3 0.000 -1.000 0.282
C4 0.000 0.739 -0.975
C5 0.000 -0.739 -0.975
H6 -0.916 0.000 1.883
H7 0.916 0.000 1.883
H8 0.000 1.503 -1.766
H9 0.000 -1.503 -1.766

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.39411.39412.34822.34821.11141.11143.37343.3734
N21.39411.99921.28392.14542.09782.09782.10923.2342
N31.39411.99922.14541.28392.09782.09783.23422.1092
C42.34821.28392.14541.47783.09073.09071.10002.3777
C52.34822.14541.28391.47783.09073.09072.37771.1000
H61.11142.09782.09783.09073.09071.83294.05134.0513
H71.11142.09782.09783.09073.09071.83294.05134.0513
H83.37342.10923.23421.10002.37774.05134.05133.0067
H93.37343.23422.10922.37771.10004.05134.05133.0067

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 122.476 C1 N3 C5 122.476
N2 C1 N3 91.617 N2 C1 H6 113.227
N2 C1 H7 113.227 N2 C4 C5 101.715
N2 C4 H8 124.266 N3 C1 H6 113.227
N3 C1 H7 113.227 N3 C5 C4 101.715
N3 C5 H9 124.266 C4 C5 H9 134.019
C5 C4 H8 134.019 H6 C1 H7 111.089
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.005      
2 N -0.250      
3 N -0.250      
4 C 0.009      
5 C 0.009      
6 H 0.142      
7 H 0.142      
8 H 0.102      
9 H 0.102      


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 -0.179 0.179
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.986 0.000 0.000
y 0.000 -31.988 0.000
z 0.000 0.000 -21.392
Traceless
 xyz
x 0.704 0.000 0.000
y 0.000 -8.299 0.000
z 0.000 0.000 7.594
Polar
3z2-r215.189
x2-y26.002
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.616 0.000 0.000
y 0.000 2.637 0.000
z 0.000 0.000 5.250


<r2> (average value of r2) Å2
<r2> 78.547
(<r2>)1/2 8.863