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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: B2PLYP/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B2PLYP/6-311G*
 hartrees
Energy at 0K-226.012890
Energy at 298.15K-226.018810
HF Energy-225.767090
Nuclear repulsion energy160.575745
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 B2PLYP/6-311G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3240 3240 15.22      
2 A' 3216 3216 11.36      
3 A' 3071 3071 2.43      
4 A' 1639 1639 38.75      
5 A' 1543 1543 8.49      
6 A' 1437 1437 21.29      
7 A' 1329 1329 23.90      
8 A' 1315 1315 5.82      
9 A' 1277 1277 7.93      
10 A' 1037 1037 60.68      
11 A' 1003 1003 9.95      
12 A' 947 947 3.69      
13 A' 883 883 1.38      
14 A' 881 881 15.71      
15 A" 3108 3108 2.74      
16 A" 1178 1178 0.39      
17 A" 1008 1008 15.23      
18 A" 956 956 0.13      
19 A" 757 757 8.15      
20 A" 567 567 21.34      
21 A" 368 368 7.02      

Unscaled Zero Point Vibrational Energy (zpe) 15379.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15379.9 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 B2PLYP/6-311G*
ABC
0.32074 0.29218 0.15735

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.201 0.358 0.000
C2 0.000 1.135 0.000
N3 1.119 0.505 0.000
C4 0.733 -0.902 0.000
C5 -0.766 -0.856 0.000
H6 -0.074 2.215 0.000
H7 1.143 -1.408 0.880
H8 1.143 -1.408 -0.880
H9 -1.439 -1.707 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43072.32512.30851.28922.17283.06443.06442.0782
C21.43071.28392.16452.13311.08312.92392.92393.1852
N32.32511.28391.45892.32542.08512.10652.10653.3818
C42.30852.16451.45891.50033.21991.09511.09512.3167
C51.28922.13312.32541.50033.14822.17402.17401.0847
H62.17281.08312.08513.21993.14823.92273.92274.1528
H73.06442.92392.10651.09512.17403.92271.76002.7443
H83.06442.92392.10651.09512.17403.92271.76002.7443
H92.07823.18523.38182.31671.08474.15282.74432.7443

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.746 N1 C2 H6 118.971
N1 C5 C4 111.471 N1 C5 H9 121.957
C2 N1 C5 103.176 C2 N3 C4 104.027
N3 C2 H6 123.283 N3 C4 C5 103.580
N3 C4 H7 110.321 N3 C4 H8 110.321
C4 C5 H9 126.572 C5 C4 H7 112.848
C5 C4 H8 112.848 H7 C4 H8 106.951
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.254      
2 C 0.011      
3 N -0.245      
4 C -0.396      
5 C -0.064      
6 H 0.224      
7 H 0.253      
8 H 0.253      
9 H 0.219      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.028 -2.056 0.000 2.056
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.381 -0.585 0.000
y -0.585 -24.122 0.000
z 0.000 0.000 -29.028
Traceless
 xyz
x -8.806 -0.585 0.000
y -0.585 8.082 0.000
z 0.000 0.000 0.724
Polar
3z2-r21.448
x2-y2-11.259
xy-0.585
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.301 -0.371 0.000
y -0.371 7.420 0.000
z 0.000 0.000 3.801


<r2> (average value of r2) Å2
<r2> 81.760
(<r2>)1/2 9.042