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

using model chemistry: HF/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 HF/aug-cc-pVDZ
 hartrees
Energy at 0K-263.895762
Energy at 298.15K-263.903839
Nuclear repulsion energy226.392306
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 HF/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 3905 3556 79.87      
2 A 3442 3134 3.07      
3 A 3411 3106 5.34      
4 A 3295 3001 7.85      
5 A 3229 2940 24.63      
6 A 3173 2890 32.50      
7 A 1758 1601 57.90      
8 A 1661 1513 14.80      
9 A 1616 1472 18.59      
10 A 1582 1440 6.63      
11 A 1560 1421 37.92      
12 A 1527 1391 0.77      
13 A 1489 1356 2.76      
14 A 1366 1244 15.53      
15 A 1246 1135 14.30      
16 A 1223 1114 0.05      
17 A 1162 1058 32.30      
18 A 1150 1047 0.77      
19 A 1087 990 9.42      
20 A 1044 951 5.70      
21 A 997 908 1.53      
22 A 978 891 6.42      
23 A 824 750 69.02      
24 A 750 683 10.26      
25 A 719 654 1.31      
26 A 685 624 7.09      
27 A 531 484 82.36      
28 A 374 340 5.94      
29 A 280 255 9.28      
30 A 80 72 0.36      

Unscaled Zero Point Vibrational Energy (zpe) 23071.5 cm-1
Scaled (by 0.9106) Zero Point Vibrational Energy (zpe) 21008.9 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 HF/aug-cc-pVDZ
ABC
0.30379 0.12105 0.08798

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.105 -0.026 0.000
H2 2.482 0.490 0.884
H3 2.483 -1.043 -0.001
H4 2.482 0.491 -0.883
N5 -0.163 1.042 -0.000
H6 0.164 1.981 -0.000
C7 0.610 -0.071 -0.000
N8 -0.115 -1.145 -0.000
C9 -1.424 -0.719 0.000
H10 -2.244 -1.415 0.000
C11 -1.478 0.632 0.000
H12 -2.301 1.321 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09101.08531.09102.50622.79161.49552.48563.59644.56483.64244.6068
H21.09101.77011.76742.84272.89452.14533.19364.18385.17154.06014.9345
H31.08531.77011.77013.36883.81092.11052.59993.92084.74144.30065.3364
H41.09101.76741.77012.84232.89362.14533.19414.18425.17204.06004.9343
N52.50622.84273.36882.84230.99381.35512.18812.16703.22041.37812.1564
H62.79162.89453.81092.89360.99382.10003.13863.13294.16322.12542.5517
C71.49552.14532.11052.14531.35512.10001.29562.13493.15422.20293.2266
N82.48563.19362.59993.19412.18813.13861.29561.37702.14592.23953.2958
C93.59644.18383.92084.18422.16703.13292.13491.37701.07501.35202.2209
H104.56485.17154.74145.17203.22044.16323.15422.14591.07502.18542.7371
C113.64244.06014.30064.06001.37812.12542.20292.23951.35202.18541.0736
H124.60684.93455.33644.93432.15642.55173.22663.29582.22092.73711.0736

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 123.013 C1 C7 N8 125.736
H2 C1 H3 108.843 H2 C1 H4 108.186
H2 C1 C7 111.114 H3 C1 H4 108.846
H3 C1 C7 108.683 H4 C1 C7 111.117
N5 C7 N8 111.251 N5 C11 C9 105.064
N5 C11 H12 122.693 H6 N5 C7 126.065
H6 N5 C11 126.530 C7 N5 C11 107.405
C7 N8 C9 105.991 N8 C9 H10 121.643
N8 C9 C11 110.289 C9 C11 H12 132.243
H10 C9 C11 128.068
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.596      
2 H 0.007      
3 H -0.069      
4 H 0.007      
5 N -0.600      
6 H -0.150      
7 C 0.043      
8 N -0.806      
9 C 0.666      
10 H -0.252      
11 C 0.823      
12 H -0.266      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.702 3.627 0.000 3.694
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.911 0.684 -0.000
y 0.684 -34.847 -0.000
z -0.000 -0.000 -38.790
Traceless
 xyz
x 5.907 0.684 -0.000
y 0.684 0.004 -0.000
z -0.000 -0.000 -5.911
Polar
3z2-r2-11.821
x2-y23.936
xy0.684
xz-0.000
yz-0.000


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


<r2> (average value of r2) Å2
<r2> 138.095
(<r2>)1/2 11.751