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

using model chemistry: HF/3-21G

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/3-21G
 hartrees
Energy at 0K-223.438112
Energy at 298.15K-223.444394
HF Energy-223.438112
Nuclear repulsion energy166.977498
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/3-21G
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 3458 3131 5.43      
2 A1 3260 2952 0.00      
3 A1 1840 1666 26.38      
4 A1 1583 1434 6.38      
5 A1 1471 1333 7.18      
6 A1 1293 1171 2.92      
7 A1 1090 987 22.52      
8 A1 990 897 3.69      
9 A2 1284 1163 0.00      
10 A2 1089 986 0.00      
11 A2 626 567 0.00      
12 B1 3306 2994 0.13      
13 B1 1132 1025 32.67      
14 B1 958 868 6.94      
15 B1 422 382 54.11      
16 B2 3439 3115 11.99      
17 B2 1906 1726 0.70      
18 B2 1463 1325 14.52      
19 B2 1379 1249 2.54      
20 B2 1135 1028 52.53      
21 B2 1050 951 80.78      

Unscaled Zero Point Vibrational Energy (zpe) 17086.5 cm-1
Scaled (by 0.9056) Zero Point Vibrational Energy (zpe) 15473.5 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/3-21G
ABC
0.36122 0.30536 0.17083

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.210
N2 0.000 0.998 0.274
N3 0.000 -0.998 0.274
C4 0.000 0.735 -0.940
C5 0.000 -0.735 -0.940
H6 -0.890 0.000 1.821
H7 0.890 0.000 1.821
H8 0.000 1.447 -1.731
H9 0.000 -1.447 -1.731

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36821.36822.27242.27241.07921.07923.27763.2776
N21.36821.99591.24252.11592.04442.04442.05453.1619
N31.36821.99592.11591.24252.04442.04443.16192.0545
C42.27241.24252.11591.46962.99232.99231.06412.3208
C52.27242.11591.24251.46962.99232.99232.32081.0641
H61.07922.04442.04442.99232.99231.78013.93673.9367
H71.07922.04442.04442.99232.99231.78013.93673.9367
H83.27762.05453.16191.06412.32083.93673.93672.8945
H93.27763.16192.05452.32081.06413.93673.93672.8945

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 120.938 C1 N3 C5 120.938
N2 C1 N3 93.667 N2 C1 H6 112.763
N2 C1 H7 112.763 N2 C4 C5 102.228
N2 C4 H8 125.743 N3 C1 H6 112.763
N3 C1 H7 112.763 N3 C5 C4 102.228
N3 C5 H9 125.743 C4 C5 H9 132.029
C5 C4 H8 132.029 H6 C1 H7 111.116
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.008      
2 N -0.617      
3 N -0.617      
4 C 0.048      
5 C 0.048      
6 H 0.299      
7 H 0.299      
8 H 0.266      
9 H 0.266      


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 -0.673 0.673
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.783 0.000 0.000
y 0.000 -35.986 0.000
z 0.000 0.000 -21.485
Traceless
 xyz
x -0.047 0.000 0.000
y 0.000 -10.852 0.000
z 0.000 0.000 10.900
Polar
3z2-r221.799
x2-y27.203
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.747 0.000 0.000
y 0.000 3.887 0.000
z 0.000 0.000 7.194


<r2> (average value of r2) Å2
<r2> 77.217
(<r2>)1/2 8.787