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

using model chemistry: mPW1PW91/STO-3G

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/STO-3G
 hartrees
Energy at 0K-223.181909
Energy at 298.15K-223.187595
HF Energy-223.181909
Nuclear repulsion energy163.956599
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/STO-3G
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 3520 3094 15.42      
2 A1 3357 2950 33.47      
3 A1 1805 1587 8.64      
4 A1 1531 1346 15.38      
5 A1 1422 1250 6.86      
6 A1 1343 1181 8.43      
7 A1 1077 946 1.35      
8 A1 944 830 9.04      
9 A2 1185 1042 0.00      
10 A2 901 792 0.00      
11 A2 555 488 0.00      
12 B1 3459 3040 18.46      
13 B1 1046 920 4.66      
14 B1 821 722 5.00      
15 B1 300 263 35.66      
16 B2 3502 3078 1.05      
17 B2 1868 1642 1.73      
18 B2 1399 1230 3.34      
19 B2 1275 1121 8.11      
20 B2 1100 967 11.14      
21 B2 959 843 67.04      

Unscaled Zero Point Vibrational Energy (zpe) 16685.6 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 14664.9 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/STO-3G
ABC
0.35804 0.28855 0.16504

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.246
N2 0.000 0.999 0.281
N3 0.000 -0.999 0.281
C4 0.000 0.734 -0.970
C5 0.000 -0.734 -0.970
H6 -0.914 0.000 1.873
H7 0.914 0.000 1.873
H8 0.000 1.494 -1.761
H9 0.000 -1.494 -1.761

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.38921.38922.33422.33421.10821.10823.35793.3579
N21.38921.99881.27872.13772.09012.09012.10153.2228
N31.38921.99882.13771.27872.09012.09013.22282.1015
C42.33421.27872.13771.46823.07513.07511.09712.3641
C52.33422.13771.27871.46823.07513.07512.36411.0971
H61.10822.09012.09013.07513.07511.82714.03444.0344
H71.10822.09012.09013.07513.07511.82714.03444.0344
H83.35792.10153.22281.09712.36414.03444.03442.9871
H93.35793.22282.10152.36411.09714.03444.03442.9871

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 122.020 C1 N3 C5 122.020
N2 C1 N3 92.011 N2 C1 H6 113.152
N2 C1 H7 113.152 N2 C4 C5 101.974
N2 C4 H8 124.216 N3 C1 H6 113.152
N3 C1 H7 113.152 N3 C5 C4 101.974
N3 C5 H9 124.216 C4 C5 H9 133.810
C5 C4 H8 133.810 H6 C1 H7 111.048
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.017      
2 N -0.249      
3 N -0.249      
4 C 0.003      
5 C 0.003      
6 H 0.148      
7 H 0.148      
8 H 0.107      
9 H 0.107      


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 -0.199 0.199
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.947 0.000 0.000
y 0.000 -31.992 0.000
z 0.000 0.000 -21.303
Traceless
 xyz
x 0.701 0.000 0.000
y 0.000 -8.367 0.000
z 0.000 0.000 7.666
Polar
3z2-r215.332
x2-y26.046
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.589 0.000 0.000
y 0.000 2.577 0.000
z 0.000 0.000 5.147


<r2> (average value of r2) Å2
<r2> 78.008
(<r2>)1/2 8.832