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

using model chemistry: B97D3/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 B97D3/TZVP
 hartrees
Energy at 0K-226.146398
Energy at 298.15K-226.152250
HF Energy-226.146398
Nuclear repulsion energy162.610767
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 B97D3/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' 3591 3539 36.46      
2 A' 3225 3178 2.63      
3 A' 3197 3151 0.16      
4 A' 3194 3148 7.77      
5 A' 1513 1491 9.99      
6 A' 1459 1438 16.69      
7 A' 1388 1368 14.13      
8 A' 1324 1305 5.65      
9 A' 1253 1235 0.26      
10 A' 1139 1122 6.06      
11 A' 1121 1105 3.67      
12 A' 1069 1054 18.27      
13 A' 1051 1035 36.36      
14 A' 931 918 2.71      
15 A' 896 883 8.78      
16 A" 817 805 9.11      
17 A" 756 745 48.34      
18 A" 689 679 25.90      
19 A" 666 656 4.05      
20 A" 626 617 13.84      
21 A" 493 486 79.21      

Unscaled Zero Point Vibrational Energy (zpe) 15197.8 cm-1
Scaled (by 0.9856) Zero Point Vibrational Energy (zpe) 14979.0 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 B97D3/TZVP
ABC
0.32266 0.31153 0.15850

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -0.743 -0.987 0.000
H2 -0.005 2.117 0.000
C3 1.124 0.300 0.000
H4 2.124 0.709 0.000
C5 0.638 -0.987 0.000
H6 1.200 -1.912 0.000
H7 -2.110 0.664 0.000
C8 -1.097 0.283 0.000
N9 0.000 1.108 0.000

Atom - Atom Distances (Å)
  N1 H2 C3 H4 C5 H6 H7 C8 N9
N13.19092.26783.33091.38142.15212.14351.31902.2228
H23.19092.13902.55213.17034.20522.55782.13401.0094
C32.26782.13901.08011.37602.21323.25412.22061.3838
H43.33092.55211.08012.25462.77854.23373.24832.1607
C51.38143.17031.37602.25461.08183.20612.15062.1900
H62.15214.20522.21322.77851.08184.19423.17733.2492
H72.14352.55783.25414.23373.20614.19421.08232.1561
C81.31902.13402.22063.24832.15063.17731.08231.3719
N92.22281.00941.38382.16072.19003.24922.15611.3719

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 69.890 N1 C2 H7 42.005
N1 C3 C5 34.749 N1 C3 H8 34.159
C2 N1 C3 42.034 C2 N1 H6 102.062
C2 N4 C5 82.280 C3 N1 H6 60.028
C3 C5 N4 20.545 C3 C5 H9 37.605
N4 C2 H7 111.895 N4 C5 H9 58.150
C5 C3 H8 68.908
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.109      
2 H 0.231      
3 C -0.107      
4 H 0.104      
5 C -0.115      
6 H 0.102      
7 H 0.101      
8 C -0.087      
9 N -0.119      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.136 3.571 0.000 3.748
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.815 -3.306 0.000
y -3.306 -25.755 0.000
z 0.000 0.000 -31.880
Traceless
 xyz
x 2.002 -3.306 0.000
y -3.306 3.592 0.000
z 0.000 0.000 -5.595
Polar
3z2-r2-11.189
x2-y2-1.060
xy-3.306
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.058 -0.067 0.000
y -0.067 7.736 0.000
z 0.000 0.000 4.262


<r2> (average value of r2) Å2
<r2> 80.451
(<r2>)1/2 8.969