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

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-224.904933
Energy at 298.15K-224.911060
HF Energy-224.904933
Nuclear repulsion energy162.108658
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 mPW1PW91/3-21G
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' 3640 3474 65.11      
2 A' 3348 3196 0.68      
3 A' 3323 3172 0.01      
4 A' 3320 3170 2.86      
5 A' 1551 1480 22.11      
6 A' 1483 1416 6.47      
7 A' 1415 1350 12.02      
8 A' 1346 1285 10.76      
9 A' 1291 1233 0.77      
10 A' 1168 1115 0.80      
11 A' 1129 1078 16.73      
12 A' 1106 1055 15.59      
13 A' 1068 1019 27.47      
14 A' 971 927 3.55      
15 A' 928 886 10.61      
16 A" 934 892 2.84      
17 A" 868 829 24.24      
18 A" 790 754 38.21      
19 A" 693 662 2.67      
20 A" 674 644 150.61      
21 A" 655 626 40.17      

Unscaled Zero Point Vibrational Energy (zpe) 15850.6 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 15131.0 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 mPW1PW91/3-21G
ABC
0.31898 0.31088 0.15744

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.110 0.000
C2 -1.108 0.293 0.000
C3 1.128 0.291 0.000
N4 -0.748 -0.979 0.000
C5 0.649 -0.997 0.000
H6 0.001 2.119 0.000
H7 -2.115 0.672 0.000
H8 2.128 0.683 0.000
H9 1.207 -1.916 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.37641.39372.21822.20421.00942.15972.17013.2573
C21.37642.23551.32132.17902.13651.07643.25893.1989
C31.39372.23552.26471.37392.14783.26501.07412.2082
N42.21821.32132.26471.39663.18692.14353.32112.1673
C52.20422.17901.37391.39663.18273.22862.23821.0750
H61.00942.13652.14783.18693.18272.56302.56654.2114
H72.15971.07643.26502.14353.22862.56304.24274.2107
H82.17013.25891.07413.32112.23822.56654.24272.7575
H93.25733.19892.20822.16731.07504.21144.21072.7575

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 110.603 N1 C2 H7 122.937
N1 C3 C5 105.578 N1 C3 H8 122.601
C2 N1 C3 107.604 C2 N1 H6 126.449
C2 N4 C5 106.558 C3 N1 H6 125.947
C3 C5 N4 109.657 C3 C5 H9 128.347
N4 C2 H7 126.460 N4 C5 H9 121.996
C5 C3 H8 131.821
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.743      
2 C 0.271      
3 C 0.013      
4 N -0.522      
5 C -0.097      
6 H 0.350      
7 H 0.254      
8 H 0.243      
9 H 0.230      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.226 3.714 0.000 3.911
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.811 -3.413 0.000
y -3.413 -25.075 0.000
z 0.000 0.000 -31.875
Traceless
 xyz
x 2.664 -3.413 0.000
y -3.413 3.768 0.000
z 0.000 0.000 -6.432
Polar
3z2-r2-12.864
x2-y2-0.736
xy-3.413
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.508 -0.262 0.000
y -0.262 6.218 0.000
z 0.000 0.000 1.913


<r2> (average value of r2) Å2
<r2> 80.458
(<r2>)1/2 8.970