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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/3-21G
 hartrees
Energy at 0K-224.568888
Energy at 298.15K-224.574832
HF Energy-224.568888
Nuclear repulsion energy164.864009
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 PBEPBEultrafine/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 3182 3153 13.24      
2 A1 3008 2981 0.45      
3 A1 1636 1621 20.89      
4 A1 1387 1374 21.14      
5 A1 1314 1302 0.12      
6 A1 1209 1198 10.66      
7 A1 1003 994 15.34      
8 A1 837 830 7.03      
9 A2 1137 1126 0.00      
10 A2 915 907 0.00      
11 A2 557 552 0.00      
12 B1 3049 3021 0.69      
13 B1 967 958 17.12      
14 B1 821 814 9.25      
15 B1 365 362 46.68      
16 B2 3165 3136 15.43      
17 B2 1676 1661 0.02      
18 B2 1258 1246 9.25      
19 B2 1204 1193 1.67      
20 B2 1045 1035 23.86      
21 B2 932 923 96.98      

Unscaled Zero Point Vibrational Energy (zpe) 15332.4 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 15192.8 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 PBEPBEultrafine/3-21G
ABC
0.35670 0.29500 0.16673

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.223
N2 0.000 0.998 0.285
N3 0.000 -0.998 0.285
C4 0.000 0.743 -0.960
C5 0.000 -0.743 -0.960
H6 -0.905 0.000 1.853
H7 0.905 0.000 1.853
H8 0.000 1.485 -1.756
H9 0.000 -1.485 -1.756

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36971.36972.30652.30651.10271.10273.32853.3285
N21.36971.99621.27112.14102.06752.06752.09813.2142
N31.36971.99622.14101.27112.06752.06753.21422.0981
C42.30651.27112.14101.48693.04763.04761.08762.3663
C52.30652.14101.27111.48693.04763.04762.36631.0876
H61.10272.06752.06753.04763.04761.80964.00624.0062
H71.10272.06752.06753.04763.04761.80964.00624.0062
H83.32852.09813.21421.08762.36634.00624.00622.9704
H93.32853.21422.09812.36631.08764.00624.00622.9704

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 121.668 C1 N3 C5 121.668
N2 C1 N3 93.553 N2 C1 H6 113.045
N2 C1 H7 113.045 N2 C4 C5 101.555
N2 C4 H8 125.444 N3 C1 H6 113.045
N3 C1 H7 113.045 N3 C5 C4 101.555
N3 C5 H9 125.444 C4 C5 H9 133.001
C5 C4 H8 133.001 H6 C1 H7 110.277
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.115      
2 N -0.472      
3 N -0.472      
4 C 0.014      
5 C 0.014      
6 H 0.297      
7 H 0.297      
8 H 0.218      
9 H 0.218      


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 -0.126 0.126
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.293 0.000 0.000
y 0.000 -34.931 0.000
z 0.000 0.000 -21.509
Traceless
 xyz
x -0.073 0.000 0.000
y 0.000 -10.030 0.000
z 0.000 0.000 10.103
Polar
3z2-r220.206
x2-y26.638
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.937 0.000 0.000
y 0.000 4.530 0.000
z 0.000 0.000 7.619


<r2> (average value of r2) Å2
<r2> 78.483
(<r2>)1/2 8.859