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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: LSDA/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at LSDA/TZVP
 hartrees
Energy at 0K-225.058769
Energy at 298.15K-225.064693
HF Energy-225.058769
Nuclear repulsion energy164.011571
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/TZVP
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' 3559 3517 57.45      
2 A' 3209 3172 0.03      
3 A' 3178 3141 2.57      
4 A' 3175 3138 1.42      
5 A' 1528 1510 13.42      
6 A' 1481 1464 16.79      
7 A' 1417 1400 9.71      
8 A' 1367 1352 7.92      
9 A' 1242 1228 1.48      
10 A' 1191 1177 2.62      
11 A' 1121 1108 3.39      
12 A' 1082 1069 39.31      
13 A' 1056 1044 23.98      
14 A' 929 918 2.91      
15 A' 888 877 8.52      
16 A" 829 819 6.86      
17 A" 763 754 41.65      
18 A" 698 690 35.58      
19 A" 675 667 3.74      
20 A" 638 631 18.65      
21 A" 548 541 84.49      

Unscaled Zero Point Vibrational Energy (zpe) 15286.1 cm-1
Scaled (by 0.9884) Zero Point Vibrational Energy (zpe) 15108.7 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/TZVP
ABC
0.32901 0.31697 0.16144

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.095 0.000
C2 -1.085 0.281 0.000
C3 1.110 0.301 0.000
N4 -0.732 -0.979 0.000
C5 0.629 -0.980 0.000
H6 -0.007 2.112 0.000
H7 -2.105 0.661 0.000
H8 2.117 0.707 0.000
H9 1.197 -1.907 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35651.36552.19942.16831.01652.14942.15263.2324
C21.35652.19561.30812.12782.12451.08853.23063.1620
C31.36552.19562.24331.36802.12803.23561.08582.2096
N42.19941.30812.24331.36133.17432.13833.31092.1416
C52.16832.12781.36801.36133.15623.18862.24961.0878
H61.01652.12452.12803.17433.15622.55102.54664.1955
H72.14941.08853.23562.13833.18862.55104.22274.1835
H82.15263.23061.08583.31092.24962.54664.22272.7715
H93.23243.16202.20962.14161.08784.19554.18352.7715

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 111.243 N1 C2 H7 122.696
N1 C3 C5 104.980 N1 C3 H8 122.431
C2 N1 C3 107.529 C2 N1 H6 126.496
C2 N4 C5 105.691 C3 N1 H6 125.974
C3 C5 N4 110.556 C3 C5 H9 127.889
N4 C2 H7 126.061 N4 C5 H9 121.554
C5 C3 H8 132.589
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.190      
2 C -0.117      
3 C -0.131      
4 N -0.130      
5 C -0.181      
6 H 0.265      
7 H 0.157      
8 H 0.163      
9 H 0.164      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.175 3.680 0.000 3.863
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.882 -3.329 0.000
y -3.329 -25.725 0.000
z 0.000 0.000 -32.181
Traceless
 xyz
x 2.071 -3.329 0.000
y -3.329 3.807 0.000
z 0.000 0.000 -5.878
Polar
3z2-r2-11.756
x2-y2-1.157
xy-3.329
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.025 -0.082 0.000
y -0.082 7.684 0.000
z 0.000 0.000 4.269


<r2> (average value of r2) Å2
<r2> 79.502
(<r2>)1/2 8.916