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

using model chemistry: B3LYP/SDD

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/SDD
 hartrees
Energy at 0K-226.137387
Energy at 298.15K-226.143289
HF Energy-226.137387
Nuclear repulsion energy158.132913
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/SDD
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' 3290 3163 8.84      
2 A' 3256 3130 5.56      
3 A' 3074 2955 1.57      
4 A' 1584 1522 29.18      
5 A' 1502 1444 8.60      
6 A' 1429 1373 35.63      
7 A' 1311 1260 21.07      
8 A' 1292 1242 5.30      
9 A' 1263 1214 14.87      
10 A' 1002 963 55.15      
11 A' 970 932 6.61      
12 A' 935 899 5.19      
13 A' 866 832 13.77      
14 A' 857 824 5.40      
15 A" 3124 3003 3.23      
16 A" 1147 1103 0.09      
17 A" 1009 970 19.78      
18 A" 956 919 0.25      
19 A" 765 735 18.20      
20 A" 573 551 21.53      
21 A" 392 377 11.59      

Unscaled Zero Point Vibrational Energy (zpe) 15296.6 cm-1
Scaled (by 0.9613) Zero Point Vibrational Energy (zpe) 14704.6 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/SDD
ABC
0.30759 0.28598 0.15243

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/SDD

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.212 0.362 0.000
C2 0.000 1.168 0.000
N3 1.130 0.513 0.000
C4 0.742 -0.924 0.000
C5 -0.777 -0.877 0.000
H6 -0.078 2.247 0.000
H7 1.154 -1.426 0.886
H8 1.154 -1.426 -0.886
H9 -1.451 -1.726 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.45562.34712.33871.31262.20033.09493.09492.1020
C21.45561.30672.21982.18781.08182.97432.97433.2381
N32.34711.30671.48832.36012.11372.13162.13163.4175
C42.33872.21981.48831.51983.27531.09851.09852.3353
C51.31262.18782.36011.51983.20142.19472.19471.0845
H62.20031.08182.11373.27533.20143.97423.97424.2044
H73.09492.97432.13161.09852.19473.97421.77152.7682
H83.09492.97432.13161.09852.19473.97421.77152.7682
H92.10203.23813.41752.33531.08454.20442.76822.7682

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 116.247 N1 C2 H6 119.529
N1 C5 C4 111.109 N1 C5 H9 122.245
C2 N1 C5 104.311 C2 N3 C4 104.973
N3 C2 H6 124.224 N3 C4 C5 103.361
N3 C4 H7 110.071 N3 C4 H8 110.071
C4 C5 H9 126.646 C5 C4 H7 112.915
C5 C4 H8 112.915 H7 C4 H8 107.479
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.091      
2 C -0.219      
3 N -0.051      
4 C -0.476      
5 C -0.179      
6 H 0.257      
7 H 0.253      
8 H 0.253      
9 H 0.252      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.176 -2.409 0.000 2.415
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.701 -0.703 0.000
y -0.703 -23.498 0.000
z 0.000 0.000 -29.113
Traceless
 xyz
x -10.395 -0.703 0.000
y -0.703 9.409 0.000
z 0.000 0.000 0.986
Polar
3z2-r21.971
x2-y2-13.203
xy-0.703
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.241 -0.351 0.000
y -0.351 7.277 0.000
z 0.000 0.000 3.482


<r2> (average value of r2) Å2
<r2> 83.868
(<r2>)1/2 9.158