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

using model chemistry: mPW1PW91/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 mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-265.513765
Energy at 298.15K-265.521576
Nuclear repulsion energy225.162030
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/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3691 3537 49.45      
2 A 3308 3170 1.84      
3 A 3276 3139 4.35      
4 A 3185 3052 3.01      
5 A 3121 2990 15.11      
6 A 3056 2928 31.01      
7 A 1621 1553 37.98      
8 A 1539 1475 6.00      
9 A 1503 1440 10.72      
10 A 1462 1401 7.44      
11 A 1441 1381 32.29      
12 A 1422 1363 0.94      
13 A 1387 1330 1.07      
14 A 1287 1234 13.64      
15 A 1204 1153 2.86      
16 A 1142 1095 5.44      
17 A 1109 1062 28.30      
18 A 1051 1007 0.93      
19 A 1008 966 7.31      
20 A 970 929 1.85      
21 A 930 891 2.45      
22 A 870 834 9.95      
23 A 737 707 56.70      
24 A 696 667 4.50      
25 A 688 660 0.78      
26 A 648 621 12.24      
27 A 553 530 65.41      
28 A 349 335 5.53      
29 A 256 245 6.16      
30 A 71 68 0.33      

Unscaled Zero Point Vibrational Energy (zpe) 21788.8 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 20880.2 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 mPW1PW91/aug-cc-pVDZ
ABC
0.29815 0.12047 0.08721

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.107 -0.024 0.000
H2 2.499 0.488 0.889
H3 2.481 -1.051 -0.001
H4 2.499 0.490 -0.888
N5 -0.166 1.048 0.001
H6 0.158 2.002 -0.003
C7 0.620 -0.068 -0.000
N8 -0.120 -1.157 -0.000
C9 -1.425 -0.728 0.000
H10 -2.253 -1.428 0.001
C11 -1.481 0.641 -0.000
H12 -2.306 1.341 -0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09851.09301.09852.51352.81111.48762.49853.60154.58053.64904.6196
H21.09851.77841.77702.86472.92702.15173.21804.20315.20014.08084.9606
H31.09301.77841.77843.37863.83612.10492.60303.91944.74914.30815.3518
H41.09851.77701.77842.86442.92332.15183.21904.20395.20144.08064.9601
N52.51352.86473.37862.86441.00721.36502.20592.17703.23811.37632.1599
H62.81112.92703.83612.92331.00722.12033.17123.15564.19232.13032.5512
C71.48762.15172.10492.15181.36502.12031.31702.14903.17892.21723.2478
N82.49853.21802.60303.21902.20593.17121.31701.37402.15052.25523.3202
C93.60154.20313.91944.20392.17703.15562.14901.37401.08421.37002.2492
H104.58055.20014.74915.20143.23814.19233.17892.15051.08422.20812.7697
C113.64904.08084.30814.08061.37632.13032.21722.25521.37002.20811.0825
H124.61964.96065.35184.96012.15992.55123.24783.32022.24922.76971.0825

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 123.496 C1 C7 N8 125.851
H2 C1 H3 108.491 H2 C1 H4 107.960
H2 C1 C7 111.735 H3 C1 H4 108.481
H3 C1 C7 108.336 H4 C1 C7 111.742
N5 C7 N8 110.653 N5 C11 C9 104.877
N5 C11 H12 122.458 H6 N5 C7 126.040
H6 N5 C11 126.003 C7 N5 C11 107.957
C7 N8 C9 105.972 N8 C9 H10 121.598
N8 C9 C11 110.542 C9 C11 H12 132.665
H10 C9 C11 127.860
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.560      
2 H -0.043      
3 H -0.119      
4 H -0.044      
5 N -0.311      
6 H -0.147      
7 C -0.034      
8 N -0.512      
9 C 0.541      
10 H -0.332      
11 C 0.794      
12 H -0.353      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.619 3.569 -0.005 3.623
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.865 0.621 -0.002
y 0.621 -34.467 -0.015
z -0.002 -0.015 -38.189
Traceless
 xyz
x 5.463 0.621 -0.002
y 0.621 0.060 -0.015
z -0.002 -0.015 -5.523
Polar
3z2-r2-11.047
x2-y23.602
xy0.621
xz-0.002
yz-0.015


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.574 -0.027 0.000
y -0.027 9.522 -0.000
z 0.000 -0.000 6.448


<r2> (average value of r2) Å2
<r2> 138.947
(<r2>)1/2 11.788