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

using model chemistry: B1B95/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 B1B95/cc-pVDZ
 hartrees
Energy at 0K-226.114047
Energy at 298.15K-226.119975
HF Energy-226.114047
Nuclear repulsion energy161.318956
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 B1B95/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' 3237 3112 12.71      
2 A' 3217 3093 8.22      
3 A' 3065 2946 0.91      
4 A' 1695 1629 45.74      
5 A' 1596 1534 13.34      
6 A' 1366 1313 23.45      
7 A' 1325 1273 29.17      
8 A' 1308 1257 5.00      
9 A' 1249 1200 5.70      
10 A' 1068 1026 42.50      
11 A' 1031 991 26.17      
12 A' 958 921 2.86      
13 A' 890 856 4.48      
14 A' 884 849 15.10      
15 A" 3105 2985 0.44      
16 A" 1149 1105 0.37      
17 A" 998 960 10.80      
18 A" 963 926 2.03      
19 A" 744 716 5.26      
20 A" 568 546 19.60      
21 A" 361 347 8.26      

Unscaled Zero Point Vibrational Energy (zpe) 15388.5 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 14791.4 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 B1B95/cc-pVDZ
ABC
0.32429 0.29511 0.15906

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.195 0.361 0.000
C2 0.000 1.126 0.000
N3 1.116 0.498 0.000
C4 0.726 -0.892 0.000
C5 -0.762 -0.849 0.000
H6 -0.068 2.214 0.000
H7 1.136 -1.414 0.880
H8 1.136 -1.414 -0.880
H9 -1.436 -1.707 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.41962.31582.29421.28542.16973.05933.05932.0821
C21.41961.28102.14552.11731.09012.91852.91853.1768
N32.31581.28101.44392.31102.08542.10472.10473.3729
C42.29422.14551.44391.48853.20671.10201.10202.3107
C51.28542.11732.31101.48853.14112.16652.16651.0915
H62.16971.09012.08543.20673.14113.92283.92284.1536
H73.05932.91852.10471.10202.16653.92281.76042.7340
H83.05932.91852.10471.10202.16653.92281.76042.7340
H92.08213.17683.37292.31071.09154.15362.73402.7340

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 117.978 N1 C2 H6 119.066
N1 C5 C4 111.393 N1 C5 H9 122.112
C2 N1 C5 102.909 C2 N3 C4 103.716
N3 C2 H6 122.956 N3 C4 C5 104.004
N3 C4 H7 110.806 N3 C4 H8 110.806
C4 C5 H9 126.495 C5 C4 H7 112.659
C5 C4 H8 112.659 H7 C4 H8 106.019
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.208      
2 C 0.154      
3 N -0.242      
4 C 0.064      
5 C 0.021      
6 H 0.030      
7 H 0.079      
8 H 0.079      
9 H 0.025      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.064 -1.997 0.000 1.998
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.258 -0.639 0.000
y -0.639 -23.857 0.000
z 0.000 0.000 -28.456
Traceless
 xyz
x -8.102 -0.639 0.000
y -0.639 7.500 0.000
z 0.000 0.000 0.602
Polar
3z2-r21.204
x2-y2-10.401
xy-0.639
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.129 -0.357 0.000
y -0.357 7.405 0.000
z 0.000 0.000 3.654


<r2> (average value of r2) Å2
<r2> 80.771
(<r2>)1/2 8.987