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

using model chemistry: LSDA/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 LSDA/aug-cc-pVDZ
 hartrees
Energy at 0K-224.904235
Energy at 298.15K-224.910172
HF Energy-224.904235
Nuclear repulsion energy166.681892
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 LSDA/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 3152 3117 10.49      
2 A1 2983 2949 5.61      
3 A1 1681 1662 16.44      
4 A1 1379 1363 0.44      
5 A1 1272 1258 59.77      
6 A1 1246 1231 1.23      
7 A1 1027 1015 0.34      
8 A1 910 900 11.52      
9 A2 1068 1056 0.00      
10 A2 883 873 0.00      
11 A2 537 530 0.00      
12 B1 3024 2989 8.65      
13 B1 933 923 21.57      
14 B1 791 782 4.31      
15 B1 371 367 41.10      
16 B2 3138 3102 1.60      
17 B2 1754 1734 0.64      
18 B2 1350 1335 40.93      
19 B2 1163 1150 0.20      
20 B2 1041 1029 23.18      
21 B2 902 892 79.57      

Unscaled Zero Point Vibrational Energy (zpe) 15301.2 cm-1
Scaled (by 0.9887) Zero Point Vibrational Energy (zpe) 15128.3 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 LSDA/aug-cc-pVDZ
ABC
0.36351 0.30368 0.17092

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.194
N2 0.000 0.996 0.285
N3 0.000 -0.996 0.285
C4 0.000 0.723 -0.947
C5 0.000 -0.723 -0.947
H6 -0.899 0.000 1.846
H7 0.899 0.000 1.846
H8 0.000 1.483 -1.740
H9 0.000 -1.483 -1.740

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.34781.34782.25952.25951.11101.11103.28753.2875
N21.34781.99161.26232.11492.05822.05822.08353.2012
N31.34781.99162.11491.26232.05822.05823.20122.0835
C42.25951.26232.11491.44573.02213.02211.09862.3441
C52.25952.11491.26231.44573.02213.02212.34411.0986
H61.11102.05822.05823.02213.02211.79843.98383.9838
H71.11102.05822.05823.02213.02211.79843.98383.9838
H83.28752.08353.20121.09862.34413.98383.98382.9659
H93.28753.20122.08352.34411.09863.98383.98382.9659

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 119.884 C1 N3 C5 119.884
N2 C1 N3 95.262 N2 C1 H6 113.314
N2 C1 H7 113.314 N2 C4 C5 102.486
N2 C4 H8 123.737 N3 C1 H6 113.314
N3 C1 H7 113.314 N3 C5 C4 102.486
N3 C5 H9 123.737 C4 C5 H9 133.777
C5 C4 H8 133.777 H6 C1 H7 108.073
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.705      
2 N -0.084      
3 N -0.084      
4 C 0.279      
5 C 0.279      
6 H -0.273      
7 H -0.273      
8 H -0.275      
9 H -0.275      


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 -0.631 0.631
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.786 0.000 0.000
y 0.000 -36.359 0.000
z 0.000 0.000 -21.855
Traceless
 xyz
x 0.321 0.000 0.000
y 0.000 -11.038 0.000
z 0.000 0.000 10.717
Polar
3z2-r221.434
x2-y27.573
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.148 0.000 0.000
y 0.000 7.848 0.000
z 0.000 0.000 9.176


<r2> (average value of r2) Å2
<r2> 77.609
(<r2>)1/2 8.810