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

using model chemistry: LSDA/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at LSDA/cc-pVDZ
 hartrees
Energy at 0K-224.882598
Energy at 298.15K-224.888524
HF Energy-224.882598
Nuclear repulsion energy166.708117
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 LSDA/cc-pVDZ
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 3143 3109 10.96      
2 A1 2980 2947 3.66      
3 A1 1701 1683 13.26      
4 A1 1383 1367 0.02      
5 A1 1264 1250 56.41      
6 A1 1246 1232 0.15      
7 A1 1027 1016 1.62      
8 A1 904 894 15.07      
9 A2 1066 1055 0.00      
10 A2 887 878 0.00      
11 A2 538 532 0.00      
12 B1 3021 2988 5.74      
13 B1 931 921 16.30      
14 B1 786 778 4.27      
15 B1 369 365 38.93      
16 B2 3128 3093 4.43      
17 B2 1769 1750 0.25      
18 B2 1356 1341 38.49      
19 B2 1157 1145 0.00      
20 B2 1041 1029 17.18      
21 B2 903 893 89.22      

Unscaled Zero Point Vibrational Energy (zpe) 15299.6 cm-1
Scaled (by 0.989) Zero Point Vibrational Energy (zpe) 15131.3 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 LSDA/cc-pVDZ
ABC
0.36316 0.30413 0.17098

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.192
N2 0.000 0.996 0.285
N3 0.000 -0.996 0.285
C4 0.000 0.724 -0.946
C5 0.000 -0.724 -0.946
H6 -0.898 0.000 1.849
H7 0.898 0.000 1.849
H8 0.000 1.488 -1.739
H9 0.000 -1.488 -1.739

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.34671.34672.25732.25731.11301.11303.28723.2872
N21.34671.99131.26112.11472.06012.06012.08343.2041
N31.34671.99132.11471.26112.06012.06013.20412.0834
C42.25731.26112.11471.44723.02393.02391.10142.3494
C52.25732.11471.26111.44723.02393.02392.34941.1014
H61.11302.06012.06013.02393.02391.79673.98713.9871
H71.11302.06012.06013.02393.02391.79673.98713.9871
H83.28722.08343.20411.10142.34943.98713.98712.9759
H93.28723.20412.08342.34941.10143.98713.98712.9759

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 119.869 C1 N3 C5 119.869
N2 C1 N3 95.346 N2 C1 H6 113.423
N2 C1 H7 113.423 N2 C4 C5 102.458
N2 C4 H8 123.596 N3 C1 H6 113.423
N3 C1 H7 113.423 N3 C5 C4 102.458
N3 C5 H9 123.596 C4 C5 H9 133.946
C5 C4 H8 133.946 H6 C1 H7 107.637
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.012      
2 N -0.124      
3 N -0.124      
4 C -0.052      
5 C -0.052      
6 H 0.125      
7 H 0.125      
8 H 0.046      
9 H 0.046      


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 -0.231 0.231
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.965 0.000 0.000
y 0.000 -34.190 0.000
z 0.000 0.000 -21.872
Traceless
 xyz
x 0.066 0.000 0.000
y 0.000 -9.271 0.000
z 0.000 0.000 9.205
Polar
3z2-r218.411
x2-y26.225
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.645 0.000 0.000
y 0.000 5.414 0.000
z 0.000 0.000 8.291


<r2> (average value of r2) Å2
<r2> 76.992
(<r2>)1/2 8.775