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

using model chemistry: mPW1PW91/TZVP

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/TZVP
 hartrees
Energy at 0K-226.138532
Energy at 298.15K-226.144571
HF Energy-226.138532
Nuclear repulsion energy167.392068
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/TZVP
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 3246 3097 12.91      
2 A1 3080 2938 0.32      
3 A1 1727 1647 20.24      
4 A1 1419 1354 0.00      
5 A1 1386 1322 37.00      
6 A1 1262 1204 5.47      
7 A1 1047 999 1.81      
8 A1 942 899 11.57      
9 A2 1149 1096 0.00      
10 A2 923 881 0.00      
11 A2 554 528 0.00      
12 B1 3118 2974 1.19      
13 B1 1012 965 20.26      
14 B1 836 798 4.90      
15 B1 369 352 41.47      
16 B2 3231 3083 5.06      
17 B2 1801 1718 0.64      
18 B2 1399 1335 34.35      
19 B2 1251 1194 0.55      
20 B2 1089 1039 35.35      
21 B2 938 895 71.57      

Unscaled Zero Point Vibrational Energy (zpe) 15889.0 cm-1
Scaled (by 0.954) Zero Point Vibrational Energy (zpe) 15158.1 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/TZVP
ABC
0.36406 0.30745 0.17212

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/TZVP

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 1.828
H7 0.890 0.000 1.828
H8 0.000 1.466 -1.726
H9 0.000 -1.466 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35191.35192.25302.25301.09321.09323.26703.2670
N21.35191.99261.24982.10872.04502.04502.06003.1759
N31.35191.99262.10871.24982.04502.04503.17592.0600
C42.25301.24982.10871.44782.99632.99631.08102.3268
C52.25302.10871.24981.44782.99632.99632.32681.0810
H61.09322.04502.04502.99632.99631.78073.94613.9461
H71.09322.04502.04502.99632.99631.78073.94613.9461
H83.26702.06003.17591.08102.32683.94613.94612.9322
H93.26703.17592.06002.32681.08103.94613.94612.9322

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 119.940 C1 N3 C5 119.940
N2 C1 N3 94.941 N2 C1 H6 113.092
N2 C1 H7 113.092 N2 C4 C5 102.590
N2 C4 H8 124.049 N3 C1 H6 113.092
N3 C1 H7 113.092 N3 C5 C4 102.590
N3 C5 H9 124.049 C4 C5 H9 133.362
C5 C4 H8 133.362 H6 C1 H7 109.067
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.272      
2 N -0.068      
3 N -0.068      
4 C -0.095      
5 C -0.095      
6 H 0.182      
7 H 0.182      
8 H 0.116      
9 H 0.116      


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 -0.730 0.730
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.249 0.000 0.000
y 0.000 -35.603 0.000
z 0.000 0.000 -21.700
Traceless
 xyz
x 0.402 0.000 0.000
y 0.000 -10.629 0.000
z 0.000 0.000 10.226
Polar
3z2-r220.452
x2-y27.354
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.260 0.000 0.000
y 0.000 5.909 0.000
z 0.000 0.000 8.340


<r2> (average value of r2) Å2
<r2> 76.767
(<r2>)1/2 8.762