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

using model chemistry: B3LYP/LANL2DZ

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/LANL2DZ
 hartrees
Energy at 0K-226.136789
Energy at 298.15K-226.142691
HF Energy-226.136789
Nuclear repulsion energy158.152876
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/LANL2DZ
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' 3289 3162 8.51      
2 A' 3255 3128 5.33      
3 A' 3074 2954 1.51      
4 A' 1584 1522 28.99      
5 A' 1502 1444 8.56      
6 A' 1429 1374 35.79      
7 A' 1312 1261 20.89      
8 A' 1292 1242 5.38      
9 A' 1263 1214 14.88      
10 A' 1002 963 54.99      
11 A' 970 933 6.71      
12 A' 936 900 5.21      
13 A' 866 833 13.88      
14 A' 857 824 5.41      
15 A" 3124 3002 3.17      
16 A" 1148 1103 0.10      
17 A" 1009 970 20.02      
18 A" 956 919 0.28      
19 A" 765 735 18.53      
20 A" 573 551 21.47      
21 A" 393 377 11.66      

Unscaled Zero Point Vibrational Energy (zpe) 15297.8 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 14704.3 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/LANL2DZ
ABC
0.30768 0.28604 0.15247

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/LANL2DZ

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 -1.727 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.45552.34682.33841.31242.20013.09453.09452.1019
C21.45551.30652.21942.18751.08182.97392.97393.2379
N32.34681.30651.48812.35982.11352.13142.13143.4171
C42.33842.21941.48811.51953.27491.09851.09852.3349
C51.31242.18752.35981.51953.20112.19442.19441.0845
H62.20011.08182.11353.27493.20113.97383.97384.2042
H73.09452.97392.13141.09852.19443.97381.77162.7677
H83.09452.97392.13141.09852.19443.97381.77162.7677
H92.10193.23793.41712.33491.08454.20422.76772.7677

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 116.252 N1 C2 H6 119.524
N1 C5 C4 111.109 N1 C5 H9 122.257
C2 N1 C5 104.306 C2 N3 C4 104.969
N3 C2 H6 124.224 N3 C4 C5 103.363
N3 C4 H7 110.070 N3 C4 H8 110.070
C4 C5 H9 126.633 C5 C4 H7 112.910
C5 C4 H8 112.910 H7 C4 H8 107.487
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/LANL2DZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.093      
2 C -0.219      
3 N -0.054      
4 C -0.477      
5 C -0.178      
6 H 0.258      
7 H 0.256      
8 H 0.256      
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
  0.177 -2.411 0.000 2.417
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.691 -0.704 0.000
y -0.704 -23.476 0.000
z 0.000 0.000 -29.118
Traceless
 xyz
x -10.393 -0.704 0.000
y -0.704 9.428 0.000
z 0.000 0.000 0.965
Polar
3z2-r21.930
x2-y2-13.214
xy-0.704
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.234 -0.351 0.000
y -0.351 7.267 0.000
z 0.000 0.000 3.461


<r2> (average value of r2) Å2
<r2> 83.846
(<r2>)1/2 9.157