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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: PBEPBEultrafine/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBEultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-225.952219
Energy at 298.15K-225.958040
HF Energy-225.952219
Nuclear repulsion energy159.591680
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 PBEPBEultrafine/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 A' 3143 3124 9.80      
2 A' 3124 3105 8.11      
3 A' 2971 2953 1.62      
4 A' 1579 1570 40.63      
5 A' 1483 1474 7.60      
6 A' 1319 1311 28.02      
7 A' 1269 1262 23.84      
8 A' 1253 1245 3.80      
9 A' 1193 1185 5.53      
10 A' 1016 1010 41.90      
11 A' 977 971 21.17      
12 A' 923 917 3.97      
13 A' 856 851 2.33      
14 A' 853 848 12.75      
15 A" 3007 2989 0.08      
16 A" 1098 1091 0.39      
17 A" 952 946 15.31      
18 A" 917 912 1.95      
19 A" 712 708 7.33      
20 A" 550 547 18.58      
21 A" 359 357 6.78      

Unscaled Zero Point Vibrational Energy (zpe) 14777.3 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 14687.1 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 PBEPBEultrafine/aug-cc-pVDZ
ABC
0.31655 0.28967 0.15568

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.205 0.369 0.000
C2 0.000 1.142 0.000
N3 1.130 0.499 0.000
C4 0.729 -0.905 0.000
C5 -0.770 -0.860 0.000
H6 -0.065 2.237 0.000
H7 1.146 -1.428 0.887
H8 1.146 -1.428 -0.887
H9 -1.454 -1.720 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43112.33832.31611.30392.18843.08943.08942.1046
C21.43111.29952.17272.14471.09762.94992.94993.2103
N32.33831.29951.46052.33632.10872.12142.12143.4066
C42.31612.17271.46051.50013.24101.11071.11072.3307
C51.30392.14472.33631.50013.17662.18692.18691.0991
H62.18841.09762.10873.24103.17663.96043.96044.1945
H73.08942.94992.12141.11072.18693.96041.77342.7634
H83.08942.94992.12141.11072.18693.96041.77342.7634
H92.10463.21033.40662.33071.09914.19452.76342.7634

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.728 N1 C2 H6 119.279
N1 C5 C4 111.189 N1 C5 H9 122.045
C2 N1 C5 103.189 C2 N3 C4 103.692
N3 C2 H6 122.993 N3 C4 C5 104.201
N3 C4 H7 110.449 N3 C4 H8 110.449
C4 C5 H9 126.766 C5 C4 H7 112.941
C5 C4 H8 112.941 H7 C4 H8 105.946
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.398      
2 C 0.542      
3 N -0.336      
4 C 0.897      
5 C 0.393      
6 H -0.223      
7 H -0.271      
8 H -0.271      
9 H -0.333      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.084 -2.112 0.000 2.114
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.814 -0.634 0.000
y -0.634 -24.371 0.000
z 0.000 0.000 -29.371
Traceless
 xyz
x -8.943 -0.634 0.000
y -0.634 8.221 0.000
z 0.000 0.000 0.722
Polar
3z2-r21.443
x2-y2-11.442
xy-0.634
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.182 -0.262 0.000
y -0.262 8.696 0.000
z 0.000 0.000 5.188


<r2> (average value of r2) Å2
<r2> 82.727
(<r2>)1/2 9.095