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

using model chemistry: PBE1PBE/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 PBE1PBE/cc-pVDZ
 hartrees
Energy at 0K-225.976697
Energy at 298.15K-225.982702
HF Energy-225.976697
Nuclear repulsion energy163.399071
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 PBE1PBE/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' 3687 3545 64.23      
2 A' 3307 3180 0.63      
3 A' 3275 3149 0.61      
4 A' 3270 3144 4.70      
5 A' 1582 1521 12.44      
6 A' 1533 1474 17.10      
7 A' 1475 1418 9.04      
8 A' 1398 1345 7.07      
9 A' 1274 1225 1.15      
10 A' 1206 1160 3.78      
11 A' 1150 1106 2.73      
12 A' 1104 1061 30.31      
13 A' 1084 1042 26.42      
14 A' 944 907 2.22      
15 A' 904 869 8.18      
16 A" 874 840 3.41      
17 A" 820 789 32.02      
18 A" 735 707 31.62      
19 A" 689 662 2.62      
20 A" 654 629 12.69      
21 A" 536 515 84.93      

Unscaled Zero Point Vibrational Energy (zpe) 15750.2 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 15143.8 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 PBE1PBE/cc-pVDZ
ABC
0.32743 0.31343 0.16014

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.102 0.000
C2 -1.085 0.281 0.000
C3 1.116 0.303 0.000
N4 -0.740 -0.986 0.000
C5 0.631 -0.982 0.000
H6 -0.012 2.112 0.000
H7 -2.103 0.664 0.000
H8 2.122 0.711 0.000
H9 1.201 -1.909 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36031.37262.21512.17711.01022.14832.15763.2410
C21.36032.20121.31302.13072.12211.08813.23563.1654
C31.37262.20122.26001.37312.13183.23971.08552.2130
N42.21511.31302.26001.37163.18232.14033.32762.1494
C52.17712.13071.37311.37163.15983.19172.25581.0878
H61.01022.12212.13183.18233.15982.54362.55234.1993
H72.14831.08813.23972.14033.19172.54364.22554.1878
H82.15763.23561.08553.32762.25582.55234.22552.7769
H93.24103.16542.21302.14941.08784.19934.18782.7769

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 111.893 N1 C2 H7 122.276
N1 C3 C5 104.913 N1 C3 H8 122.309
C2 N1 C3 107.301 C2 N1 H6 126.440
C2 N4 C5 105.041 C3 N1 H6 126.259
C3 C5 N4 110.852 C3 C5 H9 127.732
N4 C2 H7 125.831 N4 C5 H9 121.416
C5 C3 H8 132.778
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.103      
2 C 0.145      
3 C 0.011      
4 N -0.244      
5 C 0.009      
6 H 0.106      
7 H 0.037      
8 H 0.027      
9 H 0.013      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.017 3.554 0.000 3.696
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.343 -3.002 0.000
y -3.002 -25.020 0.000
z 0.000 0.000 -31.317
Traceless
 xyz
x 1.826 -3.002 0.000
y -3.002 3.810 0.000
z 0.000 0.000 -5.636
Polar
3z2-r2-11.272
x2-y2-1.323
xy-3.002
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.308 -0.234 0.000
y -0.234 6.899 0.000
z 0.000 0.000 2.969


<r2> (average value of r2) Å2
<r2> 79.506
(<r2>)1/2 8.917