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

using model chemistry: mPW1PW91/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/cc-pVDZ
 hartrees
Energy at 0K-226.079951
Energy at 298.15K-226.085977
HF Energy-226.079951
Nuclear repulsion energy166.845370
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/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 3250 3114 12.86      
2 A1 3086 2958 0.12      
3 A1 1746 1673 15.99      
4 A1 1423 1364 0.06      
5 A1 1362 1305 32.01      
6 A1 1275 1222 5.37      
7 A1 1048 1005 1.27      
8 A1 937 898 14.32      
9 A2 1136 1088 0.00      
10 A2 929 890 0.00      
11 A2 550 527 0.00      
12 B1 3133 3002 0.55      
13 B1 995 954 19.46      
14 B1 826 792 4.14      
15 B1 370 354 36.77      
16 B2 3233 3098 6.81      
17 B2 1816 1740 0.24      
18 B2 1409 1350 41.49      
19 B2 1229 1178 0.48      
20 B2 1088 1042 26.13      
21 B2 933 894 79.45      

Unscaled Zero Point Vibrational Energy (zpe) 15886.8 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 15224.3 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/cc-pVDZ
ABC
0.36266 0.30489 0.17107

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.197
N2 0.000 0.996 0.282
N3 0.000 -0.996 0.282
C4 0.000 0.726 -0.945
C5 0.000 -0.726 -0.945
H6 -0.895 0.000 1.837
H7 0.895 0.000 1.837
H8 0.000 1.480 -1.732
H9 0.000 -1.480 -1.732

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35311.35312.26132.26131.10041.10043.28153.2815
N21.35311.99281.25562.11422.05282.05282.07063.1914
N31.35311.99282.11421.25562.05282.05283.19142.0706
C42.26131.25562.11421.45203.01113.01111.08992.3419
C52.26132.11421.25561.45203.01113.01112.34191.0899
H61.10042.05282.05283.01113.01111.78983.96603.9660
H71.10042.05282.05283.01113.01111.78983.96603.9660
H83.28152.07063.19141.08992.34193.96603.96602.9593
H93.28153.19142.07062.34191.08993.96603.96602.9593

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 120.138 C1 N3 C5 120.138
N2 C1 N3 94.847 N2 C1 H6 113.182
N2 C1 H7 113.182 N2 C4 C5 102.438
N2 C4 H8 123.814 N3 C1 H6 113.182
N3 C1 H7 113.182 N3 C5 C4 102.438
N3 C5 H9 123.814 C4 C5 H9 133.747
C5 C4 H8 133.747 H6 C1 H7 108.839
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.173      
2 N -0.226      
3 N -0.226      
4 C 0.018      
5 C 0.018      
6 H 0.092      
7 H 0.092      
8 H 0.030      
9 H 0.030      


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 -0.514 0.514
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.890 0.000 0.000
y 0.000 -34.144 0.000
z 0.000 0.000 -21.677
Traceless
 xyz
x 0.020 0.000 0.000
y 0.000 -9.361 0.000
z 0.000 0.000 9.340
Polar
3z2-r218.680
x2-y26.254
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.559 0.000 0.000
y 0.000 5.130 0.000
z 0.000 0.000 7.966


<r2> (average value of r2) Å2
<r2> 76.797
(<r2>)1/2 8.763