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All results from a given calculation for C4H6N2 (1H-Imidazole, 2-methyl-)

using model chemistry: B3LYPultrafine/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYPultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-265.641630
Energy at 298.15K-265.649422
HF Energy-265.641630
Nuclear repulsion energy225.288371
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 B3LYPultrafine/aug-cc-pVTZ
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 3647 3529 44.85      
2 A 3270 3163 1.99      
3 A 3241 3136 4.13      
4 A 3133 3032 3.38      
5 A 3066 2966 16.68      
6 A 3024 2925 31.40      
7 A 1592 1540 35.11      
8 A 1516 1466 4.77      
9 A 1493 1444 6.15      
10 A 1487 1438 6.88      
11 A 1435 1389 40.54      
12 A 1418 1372 0.51      
13 A 1382 1337 1.66      
14 A 1273 1231 15.12      
15 A 1174 1135 6.17      
16 A 1137 1100 1.71      
17 A 1096 1060 24.86      
18 A 1068 1033 0.77      
19 A 1009 976 9.88      
20 A 968 937 2.72      
21 A 930 900 2.28      
22 A 878 850 7.51      
23 A 740 716 53.40      
24 A 695 672 5.42      
25 A 678 656 0.70      
26 A 645 624 9.47      
27 A 536 519 68.78      
28 A 351 340 5.36      
29 A 255 247 6.29      
30 A 71 69 0.38      

Unscaled Zero Point Vibrational Energy (zpe) 21602.6 cm-1
Scaled (by 0.9675) Zero Point Vibrational Energy (zpe) 20900.6 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 B3LYPultrafine/aug-cc-pVTZ
ABC
0.29952 0.12022 0.08718

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.112 -0.027 0.000
H2 2.500 0.484 0.883
H3 2.490 -1.046 -0.001
H4 2.500 0.487 -0.882
N5 -0.162 1.049 0.000
H6 0.162 1.999 -0.001
C7 0.619 -0.072 -0.000
N8 -0.122 -1.153 -0.000
C9 -1.434 -0.724 -0.000
H10 -2.255 -1.420 0.000
C11 -1.482 0.638 0.000
H12 -2.301 1.335 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09191.08631.09192.51642.81241.49372.50143.61374.58393.65594.6188
H21.09191.76771.76532.86082.92232.15093.21434.20845.19744.08174.9546
H31.08631.76771.76773.37963.83282.10872.61373.93664.75944.31455.3499
H41.09191.76531.76772.86012.92002.15093.21514.20895.19814.08144.9542
N52.51642.86083.37962.86011.00451.36672.20162.18143.23641.38242.1577
H62.81242.92233.83282.92001.00452.12143.16463.15644.18762.13482.5511
C71.49372.15092.10872.15091.36672.12141.30992.15383.17452.21863.2418
N82.50143.21432.61373.21512.20163.16461.30991.38022.14992.24923.3074
C93.61374.20843.93664.20892.18143.15642.15381.38021.07671.36322.2345
H104.58395.19744.75945.19813.23644.18763.17452.14991.07672.19872.7560
C113.65594.08174.31454.08141.38242.13482.21862.24921.36322.19871.0751
H124.61884.95465.34994.95422.15772.55113.24183.30742.23452.75601.0751

picture of 1H-Imidazole, 2-methyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C7 N5 123.156 C1 C7 N8 126.176
H2 C1 H3 108.500 H2 C1 H4 107.872
H2 C1 C7 111.634 H3 C1 H4 108.500
H3 C1 C7 108.606 H4 C1 C7 111.637
N5 C7 N8 110.668 N5 C11 C9 105.219
N5 C11 H12 122.310 H6 N5 C7 126.257
H6 N5 C11 126.130 C7 N5 C11 107.613
C7 N8 C9 106.358 N8 C9 H10 121.614
N8 C9 C11 110.143 C9 C11 H12 132.471
H10 C9 C11 128.244
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.478      
2 H 0.195      
3 H 0.208      
4 H 0.195      
5 N 0.053      
6 H 0.009      
7 C 0.083      
8 N -0.419      
9 C -0.267      
10 H 0.464      
11 C -0.522      
12 H 0.478      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.601 3.538 -0.001 3.588
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.344 0.629 -0.001
y 0.629 -34.994 -0.003
z -0.001 -0.003 -38.300
Traceless
 xyz
x 5.303 0.629 -0.001
y 0.629 -0.172 -0.003
z -0.001 -0.003 -5.131
Polar
3z2-r2-10.262
x2-y23.650
xy0.629
xz-0.001
yz-0.003


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.698 -0.030 0.000
y -0.030 9.666 -0.000
z 0.000 -0.000 6.521


<r2> (average value of r2) Å2
<r2> 139.161
(<r2>)1/2 11.797