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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/cc-pVTZ
 hartrees
Energy at 0K-225.924932
Energy at 298.15K-225.930871
HF Energy-225.924932
Nuclear repulsion energy166.400572
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/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 3133 3111 19.61      
2 A1 2976 2955 0.16      
3 A1 1649 1638 18.45      
4 A1 1362 1352 0.05      
5 A1 1321 1312 32.91      
6 A1 1227 1219 6.78      
7 A1 1011 1004 2.21      
8 A1 897 891 12.87      
9 A2 1095 1087 0.00      
10 A2 892 885 0.00      
11 A2 534 531 0.00      
12 B1 3005 2984 1.59      
13 B1 958 951 19.46      
14 B1 797 791 4.94      
15 B1 365 362 36.90      
16 B2 3118 3096 9.10      
17 B2 1713 1701 0.73      
18 B2 1330 1320 34.47      
19 B2 1188 1180 1.05      
20 B2 1049 1042 26.04      
21 B2 908 901 80.75      

Unscaled Zero Point Vibrational Energy (zpe) 15262.1 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 15156.8 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/cc-pVTZ
ABC
0.36194 0.30240 0.17012

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.201
N2 0.000 0.997 0.283
N3 0.000 -0.997 0.283
C4 0.000 0.728 -0.949
C5 0.000 -0.728 -0.949
H6 -0.895 0.000 1.845
H7 0.895 0.000 1.845
H8 0.000 1.483 -1.735
H9 0.000 -1.483 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35521.35522.27072.27071.10231.10233.28963.2896
N21.35521.99331.26162.11962.05762.05762.07583.1971
N31.35521.99332.11961.26162.05762.05763.19712.0758
C42.27071.26162.11961.45543.02333.02331.08972.3462
C52.27072.11961.26161.45543.02333.02332.34621.0897
H61.10232.05762.05763.02333.02331.78973.97713.9771
H71.10232.05762.05763.02333.02331.78973.97713.9771
H83.28962.07583.19711.08972.34623.97713.97712.9662
H93.28963.19712.07582.34621.08973.97713.97712.9662

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 120.347 C1 N3 C5 120.347
N2 C1 N3 94.688 N2 C1 H6 113.309
N2 C1 H7 113.309 N2 C4 C5 102.308
N2 C4 H8 123.807 N3 C1 H6 113.309
N3 C1 H7 113.309 N3 C5 C4 102.308
N3 C5 H9 123.807 C4 C5 H9 133.885
C5 C4 H8 133.885 H6 C1 H7 108.539
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.022      
2 N -0.121      
3 N -0.121      
4 C -0.111      
5 C -0.111      
6 H 0.125      
7 H 0.125      
8 H 0.117      
9 H 0.117      


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 -0.526 0.526
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.346 0.000 0.000
y 0.000 -35.134 0.000
z 0.000 0.000 -21.994
Traceless
 xyz
x 0.218 0.000 0.000
y 0.000 -9.964 0.000
z 0.000 0.000 9.746
Polar
3z2-r219.492
x2-y26.788
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.334 0.000 0.000
y 0.000 6.337 0.000
z 0.000 0.000 8.636


<r2> (average value of r2) Å2
<r2> 77.487
(<r2>)1/2 8.803