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

using model chemistry: BLYP/aug-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 BLYP/aug-cc-pVDZ
 hartrees
Energy at 0K-265.467841
Energy at 298.15K-265.475442
Nuclear repulsion energy222.381249
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 BLYP/aug-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 3525 3518 26.66      
2 A 3197 3191 3.67      
3 A 3170 3164 4.40      
4 A 3066 3060 4.35      
5 A 2994 2989 20.45      
6 A 2949 2943 40.53      
7 A 1525 1522 28.67      
8 A 1455 1453 4.75      
9 A 1432 1429 3.59      
10 A 1421 1418 6.13      
11 A 1371 1369 33.83      
12 A 1358 1355 0.30      
13 A 1327 1325 1.06      
14 A 1225 1222 15.49      
15 A 1135 1132 4.67      
16 A 1093 1090 2.73      
17 A 1057 1055 21.50      
18 A 1018 1016 0.44      
19 A 967 966 10.21      
20 A 929 928 2.34      
21 A 895 893 2.70      
22 A 814 813 12.02      
23 A 693 692 50.15      
24 A 663 662 6.21      
25 A 656 655 0.78      
26 A 620 619 11.49      
27 A 523 522 60.28      
28 A 339 338 5.09      
29 A 242 241 5.56      
30 A 68 68 0.33      

Unscaled Zero Point Vibrational Energy (zpe) 20862.8 cm-1
Scaled (by 0.9981) Zero Point Vibrational Energy (zpe) 20823.2 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 BLYP/aug-cc-pVDZ
ABC
0.29085 0.11745 0.08502

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.133 -0.024 0.000
H2 2.531 0.493 0.895
H3 2.512 -1.058 -0.001
H4 2.532 0.495 -0.894
N5 -0.170 1.063 0.000
H6 0.150 2.029 -0.002
C7 0.631 -0.068 -0.000
N8 -0.121 -1.172 -0.000
C9 -1.443 -0.738 -0.000
H10 -2.274 -1.446 0.000
C11 -1.502 0.646 -0.000
H12 -2.331 1.355 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.10761.10151.10762.54692.85381.50272.52963.64684.63103.69654.6720
H21.10761.79151.78942.90272.97232.17433.25684.25575.25844.13445.0184
H31.10151.79151.79153.41923.88652.12492.63463.96744.80124.36055.4102
H41.10761.78941.79152.90222.96962.17433.25764.25625.25914.13425.0181
N52.54692.90273.41922.90221.01791.38632.23552.20483.27371.39512.1800
H62.85382.97233.88652.96961.01792.15163.21243.19254.23662.15422.5710
C71.50272.17432.12492.17431.38632.15161.33552.17943.21512.24983.2861
N82.52963.25682.63463.25762.23553.21241.33551.39192.17072.28383.3572
C93.64684.25573.96744.25622.20483.19252.17941.39191.09171.38552.2732
H104.63105.25844.80125.25913.27374.23663.21512.17071.09172.23002.8011
C113.69654.13444.36054.13421.39512.15422.24982.28381.38552.23001.0903
H124.67205.01845.41025.01812.18002.57103.28613.35722.27322.80111.0903

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 123.617 C1 C7 N8 125.965
H2 C1 H3 108.381 H2 C1 H4 107.754
H2 C1 C7 111.918 H3 C1 H4 108.378
H3 C1 C7 108.378 H4 C1 C7 111.920
N5 C7 N8 110.419 N5 C11 C9 104.915
N5 C11 H12 122.121 H6 N5 C7 126.313
H6 N5 C11 125.722 C7 N5 C11 107.965
C7 N8 C9 106.071 N8 C9 H10 121.389
N8 C9 C11 110.630 C9 C11 H12 132.964
H10 C9 C11 127.981
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.178      
2 H -0.261      
3 H -0.336      
4 H -0.261      
5 N 0.011      
6 H -0.244      
7 C -0.281      
8 N -0.269      
9 C 0.675      
10 H -0.573      
11 C 0.960      
12 H -0.599      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.576 3.487 -0.003 3.535
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.888 0.631 -0.002
y 0.631 -35.543 -0.008
z -0.002 -0.008 -38.746
Traceless
 xyz
x 5.257 0.631 -0.002
y 0.631 -0.227 -0.008
z -0.002 -0.008 -5.030
Polar
3z2-r2-10.060
x2-y23.656
xy0.631
xz-0.002
yz-0.008


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.535 -0.072 0.000
y -0.072 10.306 -0.000
z 0.000 -0.000 6.824


<r2> (average value of r2) Å2
<r2> 142.462
(<r2>)1/2 11.936