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

using model chemistry: B3LYP/aug-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 B3LYP/aug-cc-pVDZ
 hartrees
Energy at 0K-226.150056
Energy at 298.15K-226.156069
HF Energy-226.150056
Nuclear repulsion energy166.330742
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 B3LYP/aug-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 3222 3127 14.94      
2 A1 3055 2964 0.09      
3 A1 1696 1646 21.60      
4 A1 1405 1364 0.09      
5 A1 1375 1334 31.81      
6 A1 1254 1217 4.91      
7 A1 1031 1001 0.93      
8 A1 930 902 10.66      
9 A2 1133 1099 0.00      
10 A2 912 885 0.00      
11 A2 544 528 0.00      
12 B1 3092 3001 0.90      
13 B1 999 969 21.53      
14 B1 826 802 5.84      
15 B1 368 358 37.50      
16 B2 3207 3112 4.41      
17 B2 1765 1713 0.54      
18 B2 1380 1339 37.26      
19 B2 1231 1194 1.72      
20 B2 1076 1044 34.73      
21 B2 928 901 68.48      

Unscaled Zero Point Vibrational Energy (zpe) 15714.7 cm-1
Scaled (by 0.9704) Zero Point Vibrational Energy (zpe) 15249.5 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 B3LYP/aug-cc-pVDZ
ABC
0.36161 0.30201 0.16995

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.205
N2 0.000 0.997 0.282
N3 0.000 -0.997 0.282
C4 0.000 0.729 -0.949
C5 0.000 -0.729 -0.949
H6 -0.897 0.000 1.842
H7 0.897 0.000 1.842
H8 0.000 1.479 -1.738
H9 0.000 -1.479 -1.738

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35841.35842.27392.27391.10041.10043.29363.2936
N21.35841.99401.26022.12002.05732.05732.07683.1957
N31.35841.99402.12001.26022.05732.05733.19572.0768
C42.27391.26022.12001.45763.02123.02121.08882.3448
C52.27392.12001.26021.45763.02123.02122.34481.0888
H61.10042.05732.05733.02123.02121.79393.97623.9762
H71.10042.05732.05733.02123.02121.79393.97623.9762
H83.29362.07683.19571.08882.34483.97623.97622.9588
H93.29363.19572.07682.34481.08883.97623.97622.9588

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 120.492 C1 N3 C5 120.492
N2 C1 N3 94.437 N2 C1 H6 113.172
N2 C1 H7 113.172 N2 C4 C5 102.289
N2 C4 H8 124.129 N3 C1 H6 113.172
N3 C1 H7 113.172 N3 C5 C4 102.289
N3 C5 H9 124.129 C4 C5 H9 133.582
C5 C4 H8 133.582 H6 C1 H7 109.193
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.062      
2 N -0.254      
3 N -0.254      
4 C 0.469      
5 C 0.469      
6 H -0.371      
7 H -0.371      
8 H -0.376      
9 H -0.376      


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 -0.852 0.852
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.807 0.000 0.000
y 0.000 -36.331 0.000
z 0.000 0.000 -22.066
Traceless
 xyz
x 0.391 0.000 0.000
y 0.000 -10.895 0.000
z 0.000 0.000 10.504
Polar
3z2-r221.007
x2-y27.524
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.013 0.000 0.000
y 0.000 7.382 0.000
z 0.000 0.000 8.895


<r2> (average value of r2) Å2
<r2> 77.893
(<r2>)1/2 8.826