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

using model chemistry: mPW1PW91/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 mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-226.097397
Energy at 298.15K-226.103427
HF Energy-226.097397
Nuclear repulsion energy166.792242
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-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 3253 3117 14.18      
2 A1 3086 2958 0.23      
3 A1 1727 1655 19.06      
4 A1 1421 1362 0.38      
5 A1 1374 1317 36.00      
6 A1 1270 1217 4.69      
7 A1 1048 1004 0.42      
8 A1 940 900 11.32      
9 A2 1137 1090 0.00      
10 A2 922 883 0.00      
11 A2 547 524 0.00      
12 B1 3132 3001 1.47      
13 B1 998 957 22.78      
14 B1 830 795 5.07      
15 B1 369 354 37.86      
16 B2 3237 3102 4.21      
17 B2 1799 1724 0.34      
18 B2 1402 1344 37.27      
19 B2 1233 1181 1.25      
20 B2 1086 1040 32.01      
21 B2 930 891 70.72      

Unscaled Zero Point Vibrational Energy (zpe) 15869.8 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 15208.0 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-pVDZ
ABC
0.36285 0.30435 0.17094

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.199
N2 0.000 0.997 0.282
N3 0.000 -0.997 0.282
C4 0.000 0.726 -0.945
C5 0.000 -0.726 -0.945
H6 -0.896 0.000 1.835
H7 0.896 0.000 1.835
H8 0.000 1.475 -1.733
H9 0.000 -1.475 -1.733

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35441.35442.26402.26401.09841.09843.28273.2827
N21.35441.99311.25672.11482.05132.05132.07133.1892
N31.35441.99312.11481.25672.05132.05133.18922.0713
C42.26401.25672.11481.45153.01003.01001.08752.3378
C52.26402.11481.25671.45153.01003.01002.33781.0875
H61.09842.05132.05133.01003.01001.79113.96393.9639
H71.09842.05132.05133.01003.01001.79113.96393.9639
H83.28272.07133.18921.08752.33783.96393.96392.9504
H93.28273.18922.07132.33781.08753.96393.96392.9504

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 120.183 C1 N3 C5 120.183
N2 C1 N3 94.746 N2 C1 H6 113.088
N2 C1 H7 113.088 N2 C4 C5 102.444
N2 C4 H8 123.995 N3 C1 H6 113.088
N3 C1 H7 113.088 N3 C5 C4 102.444
N3 C5 H9 123.995 C4 C5 H9 133.562
C5 C4 H8 133.562 H6 C1 H7 109.232
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.878      
2 N -0.361      
3 N -0.361      
4 C 0.368      
5 C 0.368      
6 H -0.219      
7 H -0.219      
8 H -0.227      
9 H -0.227      


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 -0.848 0.848
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.554 0.000 0.000
y 0.000 -35.845 0.000
z 0.000 0.000 -21.674
Traceless
 xyz
x 0.206 0.000 0.000
y 0.000 -10.730 0.000
z 0.000 0.000 10.525
Polar
3z2-r221.049
x2-y27.291
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.909 0.000 0.000
y 0.000 7.151 0.000
z 0.000 0.000 8.717


<r2> (average value of r2) Å2
<r2> 77.310
(<r2>)1/2 8.793