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

using model chemistry: BLYP/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at BLYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-226.123070
Energy at 298.15K-226.129008
HF Energy-226.123070
Nuclear repulsion energy166.048457
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 BLYP/6-311+G(3df,2p)
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 3125 3108 19.79      
2 A1 2961 2945 0.05      
3 A1 1622 1613 23.23      
4 A1 1363 1355 6.03      
5 A1 1345 1337 22.65      
6 A1 1215 1208 5.13      
7 A1 996 991 2.25      
8 A1 894 889 9.09      
9 A2 1110 1104 0.00      
10 A2 888 883 0.00      
11 A2 531 528 0.00      
12 B1 2984 2967 0.99      
13 B1 975 969 18.82      
14 B1 802 798 6.23      
15 B1 366 364 36.83      
16 B2 3112 3095 6.76      
17 B2 1685 1675 1.67      
18 B2 1323 1316 34.12      
19 B2 1209 1202 2.29      
20 B2 1047 1041 35.27      
21 B2 912 907 69.40      

Unscaled Zero Point Vibrational Energy (zpe) 15231.8 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 15148.0 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 BLYP/6-311+G(3df,2p)
ABC
0.36113 0.30041 0.16930

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.208
N2 0.000 0.997 0.283
N3 0.000 -0.997 0.283
C4 0.000 0.730 -0.952
C5 0.000 -0.730 -0.952
H6 -0.894 0.000 1.850
H7 0.894 0.000 1.850
H8 0.000 1.481 -1.738
H9 0.000 -1.481 -1.738

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36031.36032.28042.28041.10041.10043.29753.2975
N21.36031.99441.26372.12362.06122.06122.07803.1980
N31.36031.99442.12361.26372.06122.06123.19802.0780
C42.28041.26372.12361.46043.03063.03061.08702.3470
C52.28042.12361.26371.46043.03063.03062.34701.0870
H61.10042.06122.06123.03063.03061.78773.98323.9832
H71.10042.06122.06123.03063.03061.78773.98323.9832
H83.29752.07803.19801.08702.34703.98323.98322.9629
H93.29753.19802.07802.34701.08703.98323.98322.9629

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 120.657 C1 N3 C5 120.657
N2 C1 N3 94.292 N2 C1 H6 113.371
N2 C1 H7 113.371 N2 C4 C5 102.197
N2 C4 H8 124.082 N3 C1 H6 113.371
N3 C1 H7 113.371 N3 C5 C4 102.197
N3 C5 H9 124.082 C4 C5 H9 133.722
C5 C4 H8 133.722 H6 C1 H7 108.643
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.481      
2 N -0.830      
3 N -0.830      
4 C 0.226      
5 C 0.226      
6 H 0.167      
7 H 0.167      
8 H 0.196      
9 H 0.196      


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 -0.737 0.737
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.963 0.000 0.000
y 0.000 -36.628 0.000
z 0.000 0.000 -22.327
Traceless
 xyz
x 0.514 0.000 0.000
y 0.000 -10.983 0.000
z 0.000 0.000 10.469
Polar
3z2-r220.937
x2-y27.665
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.141 0.000 0.000
y 0.000 7.881 0.000
z 0.000 0.000 9.115


<r2> (average value of r2) Å2
<r2> 78.256
(<r2>)1/2 8.846