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

using model chemistry: mPW1PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-226.081161
Energy at 298.15K-226.087203
HF Energy-226.081161
Nuclear repulsion energy167.233164
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 mPW1PW91/6-31G(2df,p)
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 3249 3102 14.95      
2 A1 3080 2941 0.02      
3 A1 1743 1664 19.27      
4 A1 1419 1355 0.15      
5 A1 1387 1324 26.67      
6 A1 1268 1210 5.39      
7 A1 1050 1002 1.69      
8 A1 942 899 13.04      
9 A2 1148 1096 0.00      
10 A2 943 900 0.00      
11 A2 556 530 0.00      
12 B1 3122 2980 0.35      
13 B1 1010 964 17.90      
14 B1 837 799 2.78      
15 B1 375 358 37.53      
16 B2 3233 3087 7.94      
17 B2 1813 1731 0.00      
18 B2 1400 1337 31.55      
19 B2 1245 1189 0.83      
20 B2 1092 1043 27.49      
21 B2 936 893 78.42      

Unscaled Zero Point Vibrational Energy (zpe) 15923.7 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 15202.3 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 mPW1PW91/6-31G(2df,p)
ABC
0.36344 0.30679 0.17178

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.195
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.725 -0.941
C5 0.000 -0.725 -0.941
H6 -0.891 0.000 1.831
H7 0.891 0.000 1.831
H8 0.000 1.469 -1.728
H9 0.000 -1.469 -1.728

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35241.35242.25562.25561.09481.09483.27063.2706
N21.35241.99271.25082.11092.04732.04732.06253.1794
N31.35241.99272.11091.25082.04732.04733.17942.0625
C42.25561.25082.11091.45103.00063.00061.08232.3312
C52.25562.11091.25081.45103.00063.00062.33121.0823
H61.09482.04732.04733.00063.00061.78203.95143.9514
H71.09482.04732.04733.00063.00061.78203.95143.9514
H83.27062.06253.17941.08232.33123.95143.95142.9382
H93.27063.17942.06252.33121.08233.95143.95142.9382

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 120.043 C1 N3 C5 120.043
N2 C1 N3 94.902 N2 C1 H6 113.137
N2 C1 H7 113.137 N2 C4 C5 102.506
N2 C4 H8 124.095 N3 C1 H6 113.137
N3 C1 H7 113.137 N3 C5 C4 102.506
N3 C5 H9 124.095 C4 C5 H9 133.399
C5 C4 H8 133.399 H6 C1 H7 108.950
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.172      
2 N -0.156      
3 N -0.156      
4 C -0.106      
5 C -0.106      
6 H 0.191      
7 H 0.191      
8 H 0.158      
9 H 0.158      


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 -0.663 0.663
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.725 0.000 0.000
y 0.000 -33.966 0.000
z 0.000 0.000 -21.460
Traceless
 xyz
x -0.012 0.000 0.000
y 0.000 -9.373 0.000
z 0.000 0.000 9.385
Polar
3z2-r218.770
x2-y26.241
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.702 0.000 0.000
y 0.000 5.311 0.000
z 0.000 0.000 7.882


<r2> (average value of r2) Å2
<r2> 76.390
(<r2>)1/2 8.740