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

using model chemistry: PBE1PBE/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 PBE1PBE/aug-cc-pVDZ
 hartrees
Energy at 0K-225.891576
Energy at 298.15K-225.897600
HF Energy-225.891576
Nuclear repulsion energy166.754698
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 PBE1PBE/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 3248 3123 13.15      
2 A1 3082 2964 0.47      
3 A1 1727 1661 18.66      
4 A1 1420 1365 0.56      
5 A1 1366 1314 37.57      
6 A1 1271 1222 4.63      
7 A1 1048 1008 0.35      
8 A1 938 902 11.38      
9 A2 1132 1088 0.00      
10 A2 918 883 0.00      
11 A2 546 525 0.00      
12 B1 3128 3008 1.94      
13 B1 994 955 23.00      
14 B1 826 794 5.11      
15 B1 369 355 37.80      
16 B2 3232 3108 3.69      
17 B2 1800 1731 0.31      
18 B2 1401 1348 37.63      
19 B2 1226 1179 1.13      
20 B2 1083 1042 30.77      
21 B2 927 892 71.50      

Unscaled Zero Point Vibrational Energy (zpe) 15841.6 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 15233.3 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 PBE1PBE/aug-cc-pVDZ
ABC
0.36280 0.30418 0.17089

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/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 -0.946
C5 0.000 -0.726 -0.946
H6 -0.897 0.000 1.836
H7 0.897 0.000 1.836
H8 0.000 1.477 -1.734
H9 0.000 -1.477 -1.734

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35411.35412.26422.26421.09971.09973.28383.2838
N21.35411.99311.25742.11512.05202.05202.07253.1909
N31.35411.99312.11511.25742.05202.05203.19092.0725
C42.26421.25742.11511.45133.01123.01121.08882.3392
C52.26422.11511.25741.45133.01123.01122.33921.0888
H61.09972.05202.05203.01123.01121.79323.96593.9659
H71.09972.05202.05203.01123.01121.79323.96593.9659
H83.28382.07253.19091.08882.33923.96593.96592.9535
H93.28383.19092.07252.33921.08883.96593.96592.9535

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 120.173 C1 N3 C5 120.173
N2 C1 N3 94.770 N2 C1 H6 113.084
N2 C1 H7 113.084 N2 C4 C5 102.442
N2 C4 H8 123.939 N3 C1 H6 113.084
N3 C1 H7 113.084 N3 C5 C4 102.442
N3 C5 H9 123.939 C4 C5 H9 133.619
C5 C4 H8 133.619 H6 C1 H7 109.227
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.928      
2 N -0.407      
3 N -0.407      
4 C 0.407      
5 C 0.407      
6 H -0.225      
7 H -0.225      
8 H -0.239      
9 H -0.239      


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 -0.833 0.833
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.627 0.000 0.000
y 0.000 -35.916 0.000
z 0.000 0.000 -21.732
Traceless
 xyz
x 0.197 0.000 0.000
y 0.000 -10.737 0.000
z 0.000 0.000 10.539
Polar
3z2-r221.079
x2-y27.289
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.931 0.000 0.000
y 0.000 7.216 0.000
z 0.000 0.000 8.761


<r2> (average value of r2) Å2
<r2> 77.380
(<r2>)1/2 8.797