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

using model chemistry: HF/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HF/aug-cc-pVTZ
 hartrees
Energy at 0K-224.810206
Energy at 298.15K-224.816450
HF Energy-224.810206
Nuclear repulsion energy168.231055
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 HF/aug-cc-pVTZ
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 3376 3073 16.93      
2 A1 3214 2926 4.61      
3 A1 1877 1709 36.36      
4 A1 1562 1422 2.02      
5 A1 1514 1379 23.98      
6 A1 1315 1197 1.04      
7 A1 1101 1002 1.98      
8 A1 1017 926 13.63      
9 A2 1266 1152 0.00      
10 A2 1048 954 0.00      
11 A2 592 539 0.00      
12 B1 3252 2961 0.87      
13 B1 1130 1029 27.89      
14 B1 925 842 5.10      
15 B1 400 365 37.41      
16 B2 3360 3059 5.99      
17 B2 1945 1771 0.01      
18 B2 1536 1399 40.99      
19 B2 1368 1246 3.32      
20 B2 1160 1056 49.85      
21 B2 998 909 63.49      

Unscaled Zero Point Vibrational Energy (zpe) 16977.4 cm-1
Scaled (by 0.9104) Zero Point Vibrational Energy (zpe) 15456.2 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 HF/aug-cc-pVTZ
ABC
0.36396 0.31254 0.17363

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.191
N2 0.000 0.997 0.272
N3 0.000 -0.997 0.272
C4 0.000 0.726 -0.929
C5 0.000 -0.726 -0.929
H6 -0.886 0.000 1.811
H7 0.886 0.000 1.811
H8 0.000 1.452 -1.716
H9 0.000 -1.452 -1.716

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35531.35532.24082.24081.08181.08183.24983.2498
N21.35531.99331.23142.10052.03622.03622.04033.1549
N31.35531.99332.10051.23142.03622.03623.15492.0403
C42.24081.23142.10051.45272.96992.96991.07112.3167
C52.24082.10051.23141.45272.96992.96992.31671.0711
H61.08182.03622.03622.96992.96991.77283.91633.9163
H71.08182.03622.03622.96992.96991.77283.91633.9163
H83.24982.04033.15491.07112.31673.91633.91632.9050
H93.24983.15492.04032.31671.07113.91633.91632.9050

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 119.979 C1 N3 C5 119.979
N2 C1 N3 94.680 N2 C1 H6 112.858
N2 C1 H7 112.858 N2 C4 C5 102.681
N2 C4 H8 124.636 N3 C1 H6 112.858
N3 C1 H7 112.858 N3 C5 C4 102.681
N3 C5 H9 124.636 C4 C5 H9 132.683
C5 C4 H8 132.683 H6 C1 H7 110.047
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.327      
2 N -0.429      
3 N -0.429      
4 C -0.386      
5 C -0.386      
6 H 0.377      
7 H 0.377      
8 H 0.602      
9 H 0.602      


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 -1.242 1.242
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.783 0.000 0.000
y 0.000 -35.787 0.000
z 0.000 0.000 -21.776
Traceless
 xyz
x -0.002 0.000 0.000
y 0.000 -10.508 0.000
z 0.000 0.000 10.510
Polar
3z2-r221.019
x2-y27.004
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.650 0.000 0.000
y 0.000 6.218 0.000
z 0.000 0.000 8.170


<r2> (average value of r2) Å2
<r2> 76.358
(<r2>)1/2 8.738