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

using model chemistry: mPW1PW91/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-311+G(3df,2p)
 hartrees
Energy at 0K-226.144397
Energy at 298.15K-226.150444
HF Energy-226.144397
Nuclear repulsion energy167.437953
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 mPW1PW91/6-311+G(3df,2p)
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 3236 3236 14.25      
2 A1 3071 3071 0.30      
3 A1 1721 1721 20.90      
4 A1 1418 1418 0.07      
5 A1 1385 1385 35.15      
6 A1 1262 1262 4.59      
7 A1 1046 1046 1.01      
8 A1 943 943 10.58      
9 A2 1149 1149 0.00      
10 A2 938 938 0.00      
11 A2 553 553 0.00      
12 B1 3107 3107 1.73      
13 B1 1006 1006 22.15      
14 B1 836 836 4.76      
15 B1 376 376 37.71      
16 B2 3221 3221 4.08      
17 B2 1795 1795 0.41      
18 B2 1399 1399 34.98      
19 B2 1248 1248 1.34      
20 B2 1088 1088 35.37      
21 B2 938 938 69.99      

Unscaled Zero Point Vibrational Energy (zpe) 15867.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15867.2 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 mPW1PW91/6-311+G(3df,2p)
ABC
0.36426 0.30762 0.17221

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.193
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.723 -0.940
C5 0.000 -0.723 -0.940
H6 -0.889 0.000 1.828
H7 0.889 0.000 1.828
H8 0.000 1.465 -1.726
H9 0.000 -1.465 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35181.35182.25232.25231.09261.09263.26593.2659
N21.35181.99251.24942.10812.04472.04472.05943.1746
N31.35181.99252.10811.24942.04472.04473.17462.0594
C42.25231.24942.10811.44702.99562.99561.08042.3251
C52.25232.10811.24941.44702.99562.99562.32511.0804
H61.09262.04472.04472.99562.99561.77893.94533.9453
H71.09262.04472.04472.99562.99561.77893.94533.9453
H83.26592.05943.17461.08042.32513.94533.94532.9292
H93.26593.17462.05942.32511.08043.94533.94532.9292

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 119.914 C1 N3 C5 119.914
N2 C1 N3 94.952 N2 C1 H6 113.113
N2 C1 H7 113.113 N2 C4 C5 102.611
N2 C4 H8 124.080 N3 C1 H6 113.113
N3 C1 H7 113.113 N3 C5 C4 102.611
N3 C5 H9 124.080 C4 C5 H9 133.310
C5 C4 H8 133.310 H6 C1 H7 108.988
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.789      
2 N -1.032      
3 N -1.032      
4 C 0.358      
5 C 0.358      
6 H 0.129      
7 H 0.129      
8 H 0.151      
9 H 0.151      


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 -0.840 0.840
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.497 0.000 0.000
y 0.000 -35.689 0.000
z 0.000 0.000 -21.664
Traceless
 xyz
x 0.179 0.000 0.000
y 0.000 -10.608 0.000
z 0.000 0.000 10.429
Polar
3z2-r220.857
x2-y27.192
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.849 0.000 0.000
y 0.000 7.013 0.000
z 0.000 0.000 8.586


<r2> (average value of r2) Å2
<r2> 76.796
(<r2>)1/2 8.763