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

using model chemistry: TPSSh/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 TPSSh/3-21G
 hartrees
Energy at 0K-224.855340
Energy at 298.15K-224.861356
HF Energy-224.855340
Nuclear repulsion energy165.314937
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 TPSSh/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 3263 3161 12.56      
2 A1 3086 2990 0.29      
3 A1 1662 1610 21.87      
4 A1 1445 1400 14.72      
5 A1 1346 1304 1.21      
6 A1 1231 1192 8.32      
7 A1 1015 983 15.67      
8 A1 869 842 6.82      
9 A2 1172 1136 0.00      
10 A2 945 916 0.00      
11 A2 567 549 0.00      
12 B1 3130 3032 0.16      
13 B1 1009 978 22.06      
14 B1 848 822 9.09      
15 B1 372 361 47.69      
16 B2 3245 3144 16.20      
17 B2 1708 1655 0.03      
18 B2 1303 1262 9.07      
19 B2 1248 1209 2.37      
20 B2 1059 1026 27.72      
21 B2 950 921 94.71      

Unscaled Zero Point Vibrational Energy (zpe) 15736.6 cm-1
Scaled (by 0.9688) Zero Point Vibrational Energy (zpe) 15245.6 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 TPSSh/3-21G
ABC
0.35796 0.29694 0.16758

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.222
N2 0.000 0.998 0.283
N3 0.000 -0.998 0.283
C4 0.000 0.740 -0.957
C5 0.000 -0.740 -0.957
H6 -0.900 0.000 1.843
H7 0.900 0.000 1.843
H8 0.000 1.477 -1.745
H9 0.000 -1.477 -1.745

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.37071.37072.30172.30171.09341.09343.31483.3148
N21.37071.99631.26642.13552.05932.05932.08393.1999
N31.37071.99632.13551.26642.05932.05933.19992.0839
C42.30171.26642.13551.48103.03293.03291.07882.3534
C52.30172.13551.26641.48103.03293.03292.35341.0788
H61.09342.05932.05933.03293.03291.80043.98343.9834
H71.09342.05932.05933.03293.03291.80043.98343.9834
H83.31482.08393.19991.07882.35343.98343.98342.9539
H93.31483.19992.08392.35341.07883.98343.98342.9539

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 121.524 C1 N3 C5 121.524
N2 C1 N3 93.471 N2 C1 H6 112.894
N2 C1 H7 112.894 N2 C4 C5 101.740
N2 C4 H8 125.205 N3 C1 H6 112.894
N3 C1 H7 112.894 N3 C5 C4 101.740
N3 C5 H9 125.205 C4 C5 H9 133.055
C5 C4 H8 133.055 H6 C1 H7 110.830
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.083      
2 N -0.510      
3 N -0.510      
4 C 0.018      
5 C 0.018      
6 H 0.299      
7 H 0.299      
8 H 0.234      
9 H 0.234      


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 -0.260 0.260
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.889 0.000 0.000
y 0.000 4.396 0.000
z 0.000 0.000 7.474


<r2> (average value of r2) Å2
<r2> 78.126
(<r2>)1/2 8.839