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

using model chemistry: mPW1PW91/aug-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 mPW1PW91/aug-cc-pVTZ
 hartrees
Energy at 0K-226.149567
Energy at 298.15K-226.155620
HF Energy-226.149567
Nuclear repulsion energy167.417597
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/aug-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 3237 3101 14.25      
2 A1 3073 2944 0.35      
3 A1 1719 1647 21.37      
4 A1 1417 1358 0.07      
5 A1 1383 1325 35.42      
6 A1 1261 1208 4.53      
7 A1 1045 1001 1.01      
8 A1 943 903 10.62      
9 A2 1147 1099 0.00      
10 A2 941 901 0.00      
11 A2 554 531 0.00      
12 B1 3110 2979 1.74      
13 B1 1005 963 22.36      
14 B1 837 802 4.64      
15 B1 377 361 37.32      
16 B2 3222 3087 4.14      
17 B2 1793 1718 0.38      
18 B2 1398 1339 35.00      
19 B2 1245 1192 1.36      
20 B2 1086 1041 34.55      
21 B2 937 898 69.98      

Unscaled Zero Point Vibrational Energy (zpe) 15863.6 cm-1
Scaled (by 0.9581) Zero Point Vibrational Energy (zpe) 15198.9 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/aug-cc-pVTZ
ABC
0.36416 0.30755 0.17217

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.194
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.724 -0.940
C5 0.000 -0.724 -0.940
H6 -0.890 0.000 1.827
H7 0.890 0.000 1.827
H8 0.000 1.465 -1.725
H9 0.000 -1.465 -1.725

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35201.35202.25282.25281.09251.09253.26613.2661
N21.35201.99261.24962.10842.04452.04452.05923.1749
N31.35201.99262.10841.24962.04452.04453.17492.0592
C42.25281.24962.10841.44742.99562.99561.08032.3257
C52.25282.10841.24961.44742.99562.99562.32571.0803
H61.09252.04452.04452.99562.99561.77963.94483.9448
H71.09252.04452.04452.99562.99561.77963.94483.9448
H83.26612.05923.17491.08032.32573.94483.94482.9307
H93.26613.17492.05922.32571.08033.94483.94482.9307

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 119.931 C1 N3 C5 119.931
N2 C1 N3 94.937 N2 C1 H6 113.092
N2 C1 H7 113.092 N2 C4 C5 102.601
N2 C4 H8 124.046 N3 C1 H6 113.092
N3 C1 H7 113.092 N3 C5 C4 102.601
N3 C5 H9 124.046 C4 C5 H9 133.354
C5 C4 H8 133.354 H6 C1 H7 109.071
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.011      
2 N -0.482      
3 N -0.482      
4 C -0.191      
5 C -0.191      
6 H 0.248      
7 H 0.248      
8 H 0.420      
9 H 0.420      


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 -0.843 0.843
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.441 0.000 0.000
y 0.000 -35.679 0.000
z 0.000 0.000 -21.706
Traceless
 xyz
x 0.251 0.000 0.000
y 0.000 -10.605 0.000
z 0.000 0.000 10.354
Polar
3z2-r220.708
x2-y27.238
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.885 0.000 0.000
y 0.000 7.112 0.000
z 0.000 0.000 8.634


<r2> (average value of r2) Å2
<r2> 76.803
(<r2>)1/2 8.764