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

using model chemistry: mPW1PW91/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/cc-pVDZ
 hartrees
Energy at 0K-265.495289
Energy at 298.15K-265.503106
Nuclear repulsion energy225.205970
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/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 3685 3531 52.44      
2 A 3309 3171 1.79      
3 A 3274 3137 5.64      
4 A 3193 3060 2.05      
5 A 3127 2997 14.67      
6 A 3059 2932 31.87      
7 A 1627 1559 38.03      
8 A 1545 1481 3.73      
9 A 1509 1446 12.87      
10 A 1460 1399 8.37      
11 A 1442 1382 26.99      
12 A 1429 1369 2.95      
13 A 1388 1330 1.23      
14 A 1288 1234 13.42      
15 A 1206 1156 2.28      
16 A 1141 1094 5.01      
17 A 1109 1063 28.46      
18 A 1050 1006 1.73      
19 A 1009 967 9.10      
20 A 967 927 1.06      
21 A 930 892 3.05      
22 A 870 834 7.63      
23 A 736 705 41.79      
24 A 698 669 3.02      
25 A 691 662 1.15      
26 A 650 623 13.20      
27 A 530 508 63.84      
28 A 348 334 4.98      
29 A 256 245 5.68      
30 A 88 84 0.11      

Unscaled Zero Point Vibrational Energy (zpe) 21807.0 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 20897.6 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 mPW1PW91/cc-pVDZ
ABC
0.29752 0.12076 0.08731

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.104 -0.023 0.000
H2 2.500 0.490 0.890
H3 2.479 -1.052 -0.001
H4 2.500 0.491 -0.889
N5 -0.167 1.049 0.000
H6 0.157 2.005 -0.001
C7 0.617 -0.068 -0.000
N8 -0.118 -1.159 -0.000
C9 -1.422 -0.729 -0.000
H10 -2.250 -1.431 0.000
C11 -1.480 0.640 0.000
H12 -2.306 1.343 -0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.10081.09531.10082.51152.81141.48732.49593.59554.57653.64534.6169
H21.10081.78101.77892.86682.92922.15593.21984.20205.20104.08164.9619
H31.09531.78101.78103.37873.83892.10562.59923.91374.74444.30585.3510
H41.10081.77891.78102.86652.92772.15593.22044.20235.20154.08154.9615
N52.51152.86683.37872.86651.00931.36472.20862.17553.23881.37522.1590
H62.81142.92923.83892.92771.00932.12313.17593.15634.19512.13112.5500
C71.48732.15592.10562.15591.36472.12311.31622.14343.17542.21413.2462
N82.49593.21982.59923.22042.20863.17591.31621.37262.14962.25703.3240
C93.59554.20203.91374.20232.17553.15632.14341.37261.08651.37032.2528
H104.57655.20104.74445.20153.23884.19513.17542.14961.08652.20992.7747
C113.64534.08164.30584.08151.37522.13112.21412.25701.37032.20991.0843
H124.61694.96195.35104.96152.15902.55003.24623.32402.25282.77471.0843

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 123.369 C1 C7 N8 125.704
H2 C1 H3 108.379 H2 C1 H4 107.796
H2 C1 C7 111.946 H3 C1 H4 108.379
H3 C1 C7 108.280 H4 C1 C7 111.949
N5 C7 N8 110.927 N5 C11 C9 104.815
N5 C11 H12 122.318 H6 N5 C7 126.189
H6 N5 C11 125.993 C7 N5 C11 107.818
C7 N8 C9 105.698 N8 C9 H10 121.449
N8 C9 C11 110.742 C9 C11 H12 132.867
H10 C9 C11 127.810
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.016      
2 H 0.058      
3 H 0.071      
4 H 0.058      
5 N -0.118      
6 H 0.099      
7 C 0.059      
8 N -0.256      
9 C 0.007      
10 H 0.003      
11 C 0.016      
12 H 0.019      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.604 3.525 -0.001 3.577
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.664 0.538 0.000
y 0.538 -33.382 -0.004
z 0.000 -0.004 -37.404
Traceless
 xyz
x 4.729 0.538 0.000
y 0.538 0.652 -0.004
z 0.000 -0.004 -5.381
Polar
3z2-r2-10.761
x2-y22.718
xy0.538
xz0.000
yz-0.004


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> 138.418
(<r2>)1/2 11.765