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

using model chemistry: HF/TZVP

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/TZVP
 hartrees
Energy at 0K-263.942107
Energy at 298.15K-263.950166
HF Energy-263.942107
Nuclear repulsion energy227.197874
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/TZVP
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 3904 3547 84.50      
2 A 3435 3121 3.56      
3 A 3406 3095 5.85      
4 A 3288 2988 7.63      
5 A 3221 2926 26.20      
6 A 3173 2883 32.33      
7 A 1760 1599 61.92      
8 A 1658 1507 13.70      
9 A 1624 1475 9.30      
10 A 1602 1456 8.64      
11 A 1574 1430 49.96      
12 A 1542 1401 1.03      
13 A 1496 1359 2.50      
14 A 1373 1248 16.73      
15 A 1246 1132 16.44      
16 A 1229 1117 2.32      
17 A 1167 1060 31.64      
18 A 1159 1053 0.50      
19 A 1095 995 11.08      
20 A 1051 955 8.12      
21 A 1006 914 1.57      
22 A 987 897 6.60      
23 A 829 753 64.68      
24 A 745 677 8.08      
25 A 718 652 1.21      
26 A 686 623 8.41      
27 A 531 482 89.88      
28 A 376 342 5.69      
29 A 274 249 8.52      
30 A 73 66 0.30      

Unscaled Zero Point Vibrational Energy (zpe) 23112.7 cm-1
Scaled (by 0.9086) Zero Point Vibrational Energy (zpe) 21000.2 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 HF/TZVP
ABC
0.30636 0.12175 0.08855

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/TZVP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.085 -0.029 0.002
H2 2.470 0.150 1.002
H3 2.463 -0.980 -0.347
H4 2.461 0.756 -0.651
N5 -0.172 1.019 -0.002
H6 0.142 1.946 -0.002
C7 0.607 -0.058 -0.001
N8 -0.130 -1.125 -0.003
C9 -1.399 -0.719 0.002
H10 -2.224 -1.366 0.003
C11 -1.445 0.635 0.002
H12 -2.279 1.268 0.003

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.08701.08071.08822.48852.77061.47732.47103.55164.51133.59174.5525
H21.08701.75971.76042.95733.10702.12603.06564.09035.03344.07014.9803
H31.08071.75971.76183.32533.75042.10012.61943.88644.71554.24255.2592
H41.08821.76041.76182.72512.68652.12623.26714.18415.18493.96254.8129
N52.48852.95733.32532.72510.97891.32992.14522.12823.14681.32992.1217
H62.77063.10703.75042.68650.97892.05773.08393.07954.07122.05932.5148
C71.47732.12602.10012.12621.32992.05771.29742.11313.11932.16643.1767
N82.47103.06562.61943.26712.14523.08391.29741.33272.10792.19713.2166
C93.55164.09033.88644.18412.12823.07952.11311.33271.04821.35482.1733
H104.51135.03344.71555.18493.14684.07123.11932.10791.04822.14732.6348
C113.59174.07014.24253.96251.32992.05932.16642.19711.35482.14731.0472
H124.55254.98035.25924.81292.12172.51483.17673.21662.17332.63481.0472

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 124.783 C1 C7 N8 125.753
H2 C1 H3 108.548 H2 C1 H4 108.056
H2 C1 C7 111.089 H3 C1 H4 108.652
H3 C1 C7 109.391 H4 C1 C7 111.034
N5 C7 N8 109.464 N5 C11 C9 104.880
N5 C11 H12 125.980 H6 N5 C7 125.369
H6 N5 C11 125.554 C7 N5 C11 109.076
C7 N8 C9 106.905 N8 C9 H10 124.143
N8 C9 C11 109.674 C9 C11 H12 129.140
H10 C9 C11 126.182
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.403      
2 H 0.101      
3 H 0.137      
4 H 0.101      
5 N -0.147      
6 H 0.240      
7 C 0.120      
8 N -0.146      
9 C -0.081      
10 H 0.106      
11 C -0.146      
12 H 0.118      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.644 3.729 0.005 3.784
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.683 -0.664 -0.003
y -0.664 -34.704 0.012
z -0.003 0.012 -38.516
Traceless
 xyz
x 5.927 -0.664 -0.003
y -0.664 -0.104 0.012
z -0.003 0.012 -5.823
Polar
3z2-r2-11.645
x2-y24.021
xy-0.664
xz-0.003
yz0.012


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.409 -0.099 -0.000
y -0.099 8.361 0.000
z -0.000 0.000 5.488


<r2> (average value of r2) Å2
<r2> 137.202
(<r2>)1/2 11.713